Kerala SSLC Chemistry Model Question Paper 2 Malayalam Medium

Students can Download Kerala SSLC Chemistry Model Question Paper 2 Malayalam Medium Medium Pdf, Kerala SSLC Chemistry Model Question Papers helps you to revise the complete Kerala State Board New Syllabus and score more marks in your examinations.

Kerala SSLC Chemistry Model Question Paper 2 Malayalam Medium Medium

General Instructions:

  1. The first 15 minutes is the cool off time. You may use the time to read and plan your answers.
  2. Answer the questions only after reading the instructions and questions thoroughly.
  3. Questions with marks series 1, 2, 3 and 4 are categorized as sections A, B, C and D respectively.
  4. Five questions are given in each section. Answer any four from each section.
  5. Answer each question by keeping the time.

Time: 1½ Hours
Total Score: 40 Marks

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Kerala Syllabus 9th Standard Physics Solutions Chapter 2 Equations of Motion in Fluids in Malayalam

Students can Download Physics Part 1 Chapter 2 Equations of Motion Questions and Answers, Summary, Notes Pdf, Activity in Malayalam Medium, Kerala Syllabus 9th Standard Physics Solutions helps you to revise the complete Kerala State Syllabus and score more marks in your examinations.

Kerala State Syllabus 9th Standard Physics Solutions Chapter 2 Equations of Motion in Fluids in Malayalam Medium

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Kerala Syllabus 9th Standard Physics Solutions Chapter 2 Equations of Motion in Fluids in Malayalam 12
Kerala Syllabus 9th Standard Physics Solutions Chapter 2 Equations of Motion in Fluids in Malayalam 13

Kerala Syllabus 9th Standard Physics Solutions Chapter 2 Equations of Motion in Fluids in Malayalam 14
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Kerala Syllabus 9th Standard Physics Solutions Chapter 2 Equations of Motion in Fluids in Malayalam 16
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Kerala Syllabus 9th Standard Physics Solutions Chapter 2 Equations of Motion in Fluids in Malayalam 19
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Kerala Syllabus 9th Standard Physics Solutions Chapter 2 Equations of Motion in Fluids in Malayalam 21
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Kerala Syllabus 9th Standard Physics Solutions Chapter 2 Equations of Motion in Fluids in Malayalam 29
Kerala Syllabus 9th Standard Physics Solutions Chapter 2 Equations of Motion in Fluids in Malayalam 30

Plus One Physics Chapter Wise Questions and Answers Chapter 2 Units and Measurement

Students can Download Chapter 2 Units and Measurement Questions and Answers, Plus One Physics Chapter Wise Questions and Answers helps you to revise the complete Kerala State Syllabus and score more marks in your examinations.

Kerala Plus One Physics Chapter Wise Questions and Answers Chapter 2 Units and Measurement

Plus One Physics Units and Measurement One Mark Questions and Answers

Plus One Physics Chapter 2 Questions And Answers Question 1.
How many seconds are there in a light fermi?
(a) 10-15
(b) 3.0 × 108
(c) 3.33 × 10-24
(d) 3.3 × 10-7
Answer:
(c) 3.33 × 10-24
One light fermi is time taken by light to travel a distance of 1 fermi ie. 10-15m
1 light fermi = \(\frac{10^{-15}}{3 \times 10^{8}}\) = 3.33 × 10-24s.

Units And Measurements Questions And Answers Pdf Hsslive Question 2.
Which of the following pairs have same dimensional formula for both the quantities?

  1. Kinetic energy and torque
  2. Resistance and Inductance
  3. Young’s modulus and pressure

(a) (1)only
(b) (2) only
(c) (1) and (3) only
(d) All of three
Answer:
(c) (1) and (3) only

Plus One Physics Units And Measurements Questions And Answers Question 3.
Give four dimensionless physical quantities.
Answer:
Angle, Poisson’s ratio, strain, specific gravity.

Plus One Physics Units And Measurements Questions Question 4.
The dimensions of plank constant are the same as those of______.
Answer:
Angular momentum

Plus One Physics Chapter Wise Questions And Answers Question 5.
A physical quantity P = \(\frac{\sqrt{a b c^{2}}}{d^{3}}\) measuring a, b, c and d separately with the percentage error of 2% , 3%, 2% and 1% respectively. Minimum amount of error is contributed by the measurement of
(a) b
(b) a
(c) d
(d) c
Answer:
(b) a
P = \(\frac{\sqrt{a b c^{2}}}{d^{3}}\)
Plus One Physics Chapter 2 Questions And Answers
The minimum amount of error is contributed by the measurement of a.

Plus One Physics Second Chapter Questions And Answers Question 6.
The number of significant figures in 11.118 × 10-6 is
(a) 3
(b) 6
(c) 5
(d) 4
Answer:
As per rules, number of significant figures in 11.118 × 10-6 is 5.

Class 11 Physics Ch 2 Important Questions Question 7.
What is the number of significant figures in 0.06070?
Answer:
4.

Plus One Physics Important Questions And Answers Pdf Question 8.
If f = x2, What is the relative error in f?
Answer:
\(\frac{2 \Delta x}{x}\).

Hsslive Plus One Physics Chapter Wise Questions And Answers Question 9.
Which of the following measurement is more accu¬rate?
(i) 7000m
(ii) 7 × 102m
(iii) 7 × 103m
Answer:
(i) 7000 m

Units And Measurements Questions And Answers Pdf Question 10.
Which of the following measurements is most, accurate?
(a) 5.0 cm
(b) 0.005 cm
(c) 5.00 cm
Answer:
(c) Is most accurate because it has three significant figures. Greater is number of significant figures, more accurate is the measurement.
(a) has 2 significant figures
(b) has 1 significant figure.

Units And Measurements Class 11 Numericals With Solutions Question 11.
Name three physical quantities having same dimension.
Answer:
Work, Energy, and Torque.

Plus One Physics Units and Measurement Tw0 Mark Questions and Answers

Units And Measurements Class 11 Questions Answers Question 1.
Using dimensional analysis derive the relation F = ma. Where the symbols have the usual meaning.
Answer:
Force on a body depends on mass(m), acceleration (a) an
F α maabtc
M1L1T-2 = Ma(LT-2)bTc
M1L1T-2 = MaLbT-2a+c
Equating the powers, we get a = 1 ,b = 1, -2b + c = -2, c = 0
F = m1a1t0 = ma.

Plus One Physics Chapter 2 Previous Year Questions Question 2.
Use your definition to explain how simple harmonic motion can be represented by the equation y = a sin ωt
(a) Show that the above equation is dimensionally correct
Answer:
Y = a sin ωt
sin ωt has no dimensions. Hence we get L = L
Hence this equation is dimensionaly correct.
Units And Measurements Questions And Answers Pdf Hsslive

Questions On Error Analysis Class 11 Question 3.
Fill in the blanks.

  1. The curved surface area of a solid cylinder of radius 2 cm and height 20 cm is_____m2 (Write answer in 3 significant digits)
  2. Im = ______ ly

Answer:
1. Curved area = 2πl
= 2 × 3.14 (2 × 102) × 20 × 102
= 2.51 × 10-6m2

2. l ly= 9.46 × 1015 m
lm = \(\frac{l \mathrm{ly}}{9.46 \times 10^{15}}\) ≈ 10-6ly.

Physics Chapter 2 Class 11 Numericals Question 4.

  1. Give a physical quantity with a unit and no dimension.
  2. Arrange the following in the descending order.
    1 light year, 1 parsec, 1 astronomical unit

Answer:

  1. Angle has no dimension. But it has unit.
  2. 1 parsec, 1 light year, 1 astronomical unit.

Dimensional Analysis Questions And Answers Pdf Question 5.
Magnitude of force F experienced by a certain object moving with speed V is given by F = KV2. Where K is a constant. Find the dimensions of K.
Answer:
F = KV2
Plus One Physics Units And Measurements Questions And Answers

Class 11 Physics Chapter 2 Important Questions With Answers Question 6.
What is the maximum percentage error in the measurement of kinetic energy if percentage errors in mass and speed are 2% and 3% respectively?
Answer:
E = \(\frac{1}{2}\)v2
Plus One Physics Units And Measurements Questions
% error in KE = % error in mass + 2 × % error in speed
= 2% + 2 × 3% = 8%.

Units And Measurements Class 11 Important Questions Pdf Question 7.
Solve the following with regard to significant figures.

  1. 5.8 + 0.125
  2. 3.9 × 105 – 2.5 × 104

Answer:
1. 5.8 + 0.125 = 5.925
Rounding to first decimal point, we get 5.9

2. 3.9 × 105 – 2.5 × 104
= 3.5 × 105 – 0.25 × 104
= 3.65 × 105
Rounding to first decimal place, we get 3.6 × 105.

Question 8.
What is maximum fractional error in
i) (a + b)
ii) a – b
iii) ab
iv) \(\frac{a}{b}\)
Given ∆ a and ∆ b are absolute errors in measurements a and b.
Answer:
Plus One Physics Chapter Wise Questions And Answers

Question 9.

  1. What is the fractional error in an? (Given absolute error in a is ∆ a)
  2. What is absolute error in the measurements according to least count?
    • 3.0 kg
    • 25 s
    • 5.62 cm

Answer:
1. n\(\frac{\Delta a}{a}\)

2. The measurements according to least count:

  • 0.1 kg
  • 1 s
  • 0.01 cm

Plus One Physics Units and Measurement Three Mark Questions and Answers

Question 1.
A stone is thrown upwards from the ground with a velocity ‘u’.

  1. What is the maximum height attained by the stone?
  2. Check the correctness of the equation obtained in (a) using the method of dimensional analysis.

Answer:
1. H = \(\frac{u^{2}}{2 g}\) ___(1)
u = u, v = o, a = -g, h = ?
We can find maximum height using the equation
u2 = u2 + 2as
0 = u2 + 2 × -g × H
2gh = u2
H = \(\frac{u^{2}}{2 g}\)

2. Dimension of H = L
Dimension of u = (LT-1)
Dimensions of time (t) = T
Dimension of g = (LT-2)
substituting these values in eq(1) we get
L = \(\frac{\left(L T^{-1}\right)^{2}}{\left(L T^{-2}\right)}\)
L = L.

Question 2.
Derive an empirical relationship for the force experienced on the car in terms of mass of the car m, velocity v, and radius of the track r using dimensional analysis.
Answer:
Centripetal force may depends on mass (m),radius(r) and velocity(v)
F α marbvc
M1L1T-2 = MaLb(LT-1)c
M1L1T-2 = MaLbLcT-c
M1L1T-2 = MaLb+cT-c
Equating we get a = 1, b + c = 1, c = 2, b = -1
Substituting these values in eq(1),we get
F = \(\frac{M V^{2}}{r}\).

Question 3.
Dimensional formula of a physical quantity indicate how many times fundamental quantity is involved in the measurement of the quantity.

  1. What is the dimensional formula of coefficient of viscosity?
  2. Write any two drawbacks of dimensional analysis.

Answer:
1. F = ηA\(\frac{d V}{d x}\)
Plus One Physics Units and Measurement Three Mark Questions and Answers 6

2. The method of dimensional analysis has the following drawbacks:

  • It gives no information about the dimensionless constant involved in the equation.
  • The method is not applicable to equations involv¬ing trigonometric and exponential functions.
  • This method cannot be employed to derive the • exact form of the relationship if it contains sum
    of two, or more terms.
  • If the given physical quantity depends on more than three unknown quantities, the method fails.

Question 4.
Principle of homogeneity is based on the fact that two quantities of same nature can be added.

  1. What do you mean by principle of homogeneity?
  2. Velocity V depends on the time t as V = at2 + bt + c. Find dimension of constants a, b, and c.

Answer:
1. For the correctness of an equation, the dimensions on either side must be the same. This is known as the principle of homogeneity of dimensions.

2. V = at2 + bt + c
M0L1T-1 = aT2 + bT + c
According to principle of homogenity, we get
aT2 = M0L1T-1
a = \(\frac{\mathrm{M}^{0} \mathrm{L}^{1} \mathrm{T}^{-1}}{\mathrm{T}^{2}}\)
= M0L1T-3.

Question 5.
If x = a + bt + ct2 where x is in meter and t in second.

  1. Find the dimensional formula of ‘b’.
  2. If error in the measurement of time is 2%. What will be the error in x?

Answer:
1. According to principle of homogeneity, the dimensions of both sides must be same.
ie. L = a + bT + cT2
ie : L = bT, b = L/T

2.
Plus One Physics Units and Measurement Three Mark Questions and Answers 7
% error in x = 3 × %. error in ‘t’ = 3 × 2% = 6%.

Question 6.
A physical quantity P is related to four observables a, b, c as P = \(\frac{a^{3} b^{2}}{\sqrt{c d}}\). The % error in the measurement of a, b, c, and d are 1%, 3%, 4%, 2% are respectively.

  1. What do you mean by error in a measurement?
  2. What is the % error in the measurement of P?

Answer:
1. The result of every measurement by any measuring instrument contains some uncertainty. This uncertainty is called error.

2.
Plus One Physics Units and Measurement Three Mark Questions and Answers 8
% error in
P = 3 × 1 + 2 × 3 + 1/2 × 4 + 1/2 × 2
= 3 + 6 + 2+ 1
P = 12%

Question 7.
Rahul measured the height of Ramesh in different trials as 1.67m, 1.65m 1.64m, and 1.63m.

  1. Find the mean absolute error?
  2. Find the percentage error?

Answer:
1. Arithametic mean,
Plus One Physics Units and Measurement Three Mark Questions and Answers 9
amean = 1.645m = 1.65
absolute error,
∆a1 = amean – a1
∆a1 = 1.65 – 1.67 = -0.02
∆a2 = 1.65 – 1.65 = 0
∆a3 = 1.65 – 1.64 = 0.01
∆a4 = 1.65 – 1.63 = 0.02
Mean absolute error
Plus One Physics Units and Measurement Three Mark Questions and Answers 10
= 0.012

2. percentage error = \(\frac{\Delta \mathrm{a}_{\text {mean }}}{\mathrm{a}_{\text {mean }}}\) × 100
= \(\frac{0.012}{1.65}\) × 100
= 0.75%.

Question 8.
In a particular experiment Ramu used the relation F = AB + (P + Q) Y to calculate force.

  1. Which principle is used to check the correctness of the equation (1)
  2. If the dimensional formula of Y is M0L1T-1, then find the dimensional formula of P

Answer:
1. Principle of homogenity

2. F = AB + (P+Q)Y
F = AB + PY + QY
MLT-2 = AB + PY+ QY
According to principle of homogeneity
MLT-2 = PY
M1L1T-2 = P M0L1T-1
ie. P = \(\frac{M^{\prime} L^{1} T^{-2}}{M^{0} L^{1} T^{-1}}\) = M1T-3

Question 9.

  1. Which of the following is precise
    • A vernier calliperse with 40 divisions on sliding scale
    • An optical instrument that can measure length of the order of wavelength of light.
  2. Is it possible to increase the accuracy of screw gauge by increasing the number of divisions on the head scale?

Answer:
1. (i) L.C of vernier caliperse = \(\frac{1}{40}\) = 0.025mm
= 0.025 × 10-3m
= 2.5 × 10-5m.

(ii) L.C of optical instrument = 6000A°
= 6000 × 10-10m
(Taking λ of visible light = 6000°A)= 6 × 10-7m

2. Yes. Because L.C proportional to number of division on the headscale. So with the increase in number of divisions, the least count will increase. This leads to increase the accuracy of above screw guage.

Plus One Physics Units and Measurement Four Mark Questions and Answers

Question 1.
In an experiment with common balance the mass of a body is found to 2.52g, 2.53g, 2,51g, 2.49g and 2.54g in successive measurements. Calculate

  1. The mean value of the body
  2. Mean absolute error
  3. Percentage error

Answer:
1. Mean value, Mmean
= \(\frac{2.52+2.53+2.51+2.49+2.54}{5}\)
= 2.5g

2. Absolute error,
Absolute error ∆m1 = |2.52 – 2.52| = 0
∆m2 = |2.52 – 2.53| = 0.01
∆m3 = |2.52 – 2.51| = 0.01
∆m4 = |2.52 – 2.49| = 0.03
∆m5 = |2.52 – 2.54| = 0.02
∴ Mean absolute error
\(\frac{0+0.01+0.01+0.03+0.02}{5}\)
∆mmean = 0.014g

3. Percentage error = \(\frac{\Delta \mathrm{m}_{\text {mean }}}{\mathrm{m}_{\text {mean }}}\) × 100
= \(\frac{0.014}{2.52}\) × 100 = 0.556.

Question 2.
While discussing the period of a pendulam, one of the student argued that period depends on the mass of the bob.

  1. What is your opinion?
  2. How will you prove your argument dimensionally?

Answer:

  1. Period is independent of mass of the bob
  2. The principle of homogeneity of dimensions also helps to derive a relationship between the different physical quantities involved; This method is known as dimensional analysis.

The period of the simple pendulum may possibly depend upon:

  • The mass of the bob, m
  • The length of the pendulum, I
  • Acceleration due to gravity, g
  • The angle of swing, q

Let us write the equation for the time period as t = k ma lb gc qd
where, k is a constant having no dimensions; a, b, care to be found out.
The dimensions of, t = T1
Dimensions of. m = M1
Dimensions of, l = L1
Dimensions of, g = L1T-2
Angle q has no dimensions (since, q = arc/radius = L/L)
Equating the dimensions of both sides of the equation, we get,
T1 = MaLb (L1T-2)c
ie. T1 = MaLb+c+ T-2c.
The dimensions of the terms on both sides must be the same. Equating the powers of M, L and T.

a = 0; b + c = 0; -2c = 1
∴ c = \(\frac{1}{2}\), b = c = \(\frac{1}{2}\)
Hence, the equation becomes,
t = kl1/2g-1/2
ie, t = k\(\sqrt{1 / g}\)
Experimentally, the value of k is found to be 2p.

Plus One Physics Units and Measurement Five Mark Questions and Answers

Question 1.
In an experiment with a common balance the mass of a ring found to be 2.52g, 2.5g, 2,51g, 2.49g and 2.54g in successive measurements. Calculate

  1. The mean value of the mass of the ring
  2. The absolute error in each measurement
  3. Mean absolute error
  4. Relative error
  5. Percentage error

Answer:
1. The mean value of the mass of the ring.
Mmean = \(\frac{2.52+2.53+2.51+2.49+2.54}{5}\) = 2.52g.

2. The absolute error in each measurement.
∆m1 = Mmean – m1 = 2.52 – 2.52 = 0.00
∆m2 = Mmean – m2 = 2.52 – 2.53 = -0.01
∆m5 = Mmean – m5 = 2.52 – 2.54 = -0.02

3. mean absolute error = |∆m1| + |∆m2|………..+|∆m5|
= 0.014

4. Relative error = δm = \(\frac{\Delta \mathrm{m}_{\text {mean }}}{\mathrm{m}_{\text {mean }}}=\frac{.014}{2.52}\) = 0.00555

5. Percentage error δm × 100 = 0.555%.

Plus One Physics Units and Measurement NCERT Questions and Answers

Question 1.
Fill in the blanks:

  1. The volume of a cube of side 1 cm is equal to______m3.
  2. The surface area of a solid cylinder of radius 2.0 cm and height 10.0cm is equal to____(mm)2.
  3. A vehicle moving with a speed of 18km h-1 covers_____m in 1s.
  4. The relative density of lead is 11.3.Its density is_____g cm-3or_____kgm-3.

Answer:
1. V = (1 cm)3
= (10-2m)3
= 10-6m3
So, answer is 10-6.

2. Surface area = 2 πrh + 2 × πr2
= 2πr(h + r)
= 2 × \(\frac{22}{7}\) × 2 × 10(10 × 10 + 2 × 10)mm2
= 1 .5 × 104mm2
So, answer is 1.5 × 104

3. 18kmh-1 = \(\frac{18 \times 1000}{3600}\)ms-1
= 5ms-1
So, answer is 5.

4. 11.3, 11.3 × 103 or 1.13 × 104.

Question 2.
Fill in the blanks by suitable conversion of units:

  1. 1 kgm2s-2 = _____g cm2s-2
  2. 1 m =_____1 y
  3. 3.0 ms2 =______kmh-2
  4. G = 6.67 × 10-11 Nm2 (kg)-2 =_____(cm)3s-2g-1

Answer:

  1. 107
  2. 10-16
  3. 3.888 × 104
  4. 6.67 × 10-8

Question 3.
A calorie is a unit of heat or energy and it equals about 4.2 J, where 1 J = 1 kgm2S-2. Suppose we employ a system of units in which the unit of mass equals α kg, the unit of length equals β metere, the unit of time is second, show that a calorie has a magnitude 4.2 α-1 β-2 γ2 in terms of the new units.
Answer:
1 cal = 4.2kg m2s-2

SINew system
n1 = 4.2n2 = ?
M1 = 1 kgM2 = α kg
L1 = 1mL2 = β meter
T1 = 1sT2 = γ second

Dimensional formula of energy is [ML2T-2]. Comparing with [MaLbTc], we find that
a = 1, b = 2, c = -2
Plus One Physics Units and Measurement NCERT Questions and Answers 11

Question 4.
Which of the following is the most precise device for measuring length?

  1. A vernier callipers with 20 divisions on the sliding scale.
  2. A screw guage of pitch 1 mm and 100 divisions on the circular scale
  3. An optical instrument that can measure length to within a wavelength of light?

Answer:
The most precise device is one whose least count is the least.
1. Least count = 1SD – 1 VD = 1 SD – \(\frac{19}{20}\) SD
Plus One Physics Units and Measurement NCERT Questions and Answers 12

2. Least count
Plus One Physics Units and Measurement NCERT Questions and Answers 13

3. Wavelength = 10-5 cm = 0.00001 cm
Clearly, the optical instrument is the most precise.

Question 5.
State the number of significant figures in the following:

  1. 0.007m2
  2. 2.64 × 1024kg
  3. 0.2370gcm3
  4. 6.320 J
  5. 6.032 Nm-2
  6. 0.0006032 m2

Answer:

  1. 1
  2. 3
  3. 4
  4. 4
  5. 4
  6. 4

Question 6.
The length, breadth, and thickness of a rectangular sheet of metal are 4.234m, 1.005m and 2.01cm respectively. Give the area and volume of the sheet to correct significant figures.
Answer:
Area of the sheet = 2(l × b + b × t + t × l)
= 2(4.234 × 1.005 + 1.005 × 0.0201 + 0.0201 × 4.234)m2
= 2 (4.255 + 0.0202 + 0.0851)m2
= 2 × 4.3603m2
= 8.7206m2
= 8.72m2
Volume = lbt
4.234 × 1.005 × 0.0201m3
= 0.0855m3

Question 7.
A Physical qunatity P is related to four observables a, b, c and d as follows:
P = \(\frac{\mathrm{a}^{3} \mathrm{b}^{2}}{\sqrt{\mathrm{c}} \mathrm{d}}\). The percentage errors of measurement in a, b,c, and d are 1 %, 3%, 4% and 2% respectively. What is the percentage error in the quantity P? If the value of P calculated using the above relation turns out to be 3.763, to what value should you round off the result?
Answer:
P = \(\frac{\mathrm{a}^{3} \mathrm{b}^{2}}{\sqrt{\mathrm{c}} \mathrm{d}}\)
Plus One Physics Units and Measurement NCERT Questions and Answers 14
% error in P = 3% + 6% + 2%+2% = 13%
3.763 should be rounded off to 3.8.

Question 8.
A famous relation in physics relates ‘moving mass’ m to the ‘rest mass’ m0 of a particle in terms of its speed v and the speed of light c. (This relation first arose as a consequence of special relativity due to Albert Einstein). Boy recalls the relation almost correctly but forgets where to put the constant c. He writes:
\(\frac{m_{0}}{\left(1-v^{2}\right)^{1 / 2}}\)
Guess where to put the missing e.
Answer:
From the given equation, \(\frac{m_{0}}{m}=\sqrt{1-v^{2}}\)
Since left hand side is dimensionless therefore right hand side should be also dimensionless.
Plus One Physics Units and Measurement NCERT Questions and Answers 15
The correct formula is m = m0 \((\sqrt{1-\frac{v^{2}}{c^{2}}})^{-1 / 2}\).

Kerala Syllabus 9th Standard Hindi Solutions Unit 4 Chapter 2 संसार पुस्तक है

You can Download संसार पुस्तक है Questions and Answers, Summary, Activity, Notes, Kerala Syllabus 9th Standard Hindi Solutions Unit 4 Chapter 2 help you to revise complete Syllabus and score more marks in your examinations.

Kerala State Syllabus 9th Standard Hindi Solutions Unit 4 Chapter 2 संसार पुस्तक है (पत्र)

संसार पुस्तक है Textual Questions and Answers

संसार पुस्तक है विश्लेषणात्मक प्रश्न

Sansar Pustak Hai Summary In Malayalam Kerala Syllabus प्रश्ना 1.
‘हिंदुस्तान, जो एत बहुत बड़ा देश है, फिर भी दुनिया का एक छोटा-सा हिस्सा है। अगर तुम्हें इस दुनिया का …..तुम पैदा हुई हो’ -इससे आपने क्या समझा?
Sansar Pustak Hai Summary In Malayalam Kerala Syllabus
उत्तर:
देश कितना भी बड़ा हो या छोटा, उसके बारे में कुछ जानना चाहते हैं तो ज़रूर दुनिया के सारे देशों के बारे में और वहाँ के जीव-जंतुओं के बारे में जानकारी होना ज़रूरी है। केवल एक छोटा-सा देश भारत को जानने से दुनिया का हाल समझ नहीं सकते। हम अपने देश भारत को जानना मतलब दुनिया को जानना है।

Hss Live Guru 9th Hindi Kerala Syllabus प्रश्ना 2.
‘पुराने ज़माने की लिखी हुई किताबें न होने पर भी कुछ ऐसी चीजें हैं जिनसे हमें उतनी ही बातें मालूम होती हैं जितनी किसी किताब से होतीं।’ ऐसा क्यों कहा गया है?
Hss Live Guru 9th Hindi Kerala Syllabus
उत्तर:
दुनिया में ऐसी कई चीजें हैं जो हमारे लिए पुस्तकों से ज़्यादा जानकारी देती है। पहाड़, चट्टान, नदियाँ, जंगल, समुद्र, जानवरों की हाड़िडयाँ, शिलालेख आदि ऐसी ही चीजें हैं। ये पुराने ज़माने की स्मृतियाँ जगाने वाली ज़िंदा सबूत है।

संसार पुस्तक है पाठ का सारांश Kerala Syllabus प्रश्ना 3.
इसी तरह पहले तुम्हें प्रकृति के अक्षर पढ़ने पड़ेंगे’ -इसका मतलब क्या है?
संसार पुस्तक है पाठ का सारांश Kerala Syllabus
उत्तर:
प्रकृति का अक्षर पढ़ना’ का मतलब है- प्रकृति को समझने ज्ञान प्राप्त करना। प्रकृति को समझने के लिए उसकी विभिन्न बातों को ठीक तरह से समझना होगा। तभी हम प्रकृति ठीक तरह से समझ सकते हैं।

संसार पुस्तक है Text Book Activities

संसार पुस्तक है विधात्मक प्रश्न

संसार पुस्तक है प्रश्न उत्तर Kerala Syllabus प्रश्ना 1.
वाक्यांशों को उचित खानों में लिखें।
उत्तर:

प्रकृति के साथप्रकृति के विरुद्ध
पेड़ लगानापेड़ों को काटना
मिट्टी का संरक्षण करनामिट्टी को प्रदूषित करना
पहाड़ों का संरक्षण करनाचट्टानों को तोड़ना
जलस्रोतों का संरक्षण करनानदी-नालों में कूडा कचड़ा डालना

Sansar Pustak Hai Summary Kerala Syllabus प्रश्ना 2.
संसार पुस्तक है लेख के आधार पर सही वाक्यों पर सही का निशान ✓ लगाएँ।
उत्तर:
संसार पुस्तक है प्रश्न उत्तर Kerala Syllabus

Hss Live 9th Hindi Kerala Syllabus प्रश्ना 3.
आशयों का सही मिलान करें।
उत्तर:

 प्रकृति के साथप्रकृति के विरुद्ध
1. लाखों पुरानी धरती में 1. कई दिनों तक कोई आदमी नहीं था।
2.पुराने समय के जानवरों के बारे में जानने के लिए2. उनकी पुरानी हाड्डियाँ महत्वपूर्ण सहायता देती है।
3. विद्वानों के अध्ययन के अनुसार3. एक ज़माने में धरती बेहद गरम थी।
4. प्रकृति का निरीक्षण करने से4. समय के अनुसार भूमि में हुए परिवर्तनों का अनुमान कर सकते हैं।

Hsslive Guru 9th Hindi Kerala Syllabus प्रश्ना 4.
आत्मकथा लिखें :
Kerala Syllabus 9th Standard Hindi Solutions Unit 4 Chapter 2 संसार पुस्तक है 5
‘दुनिया का पुराना हाल जानने के लिए खुद संसार-रूपी पुस्तक को पढ़ें।’
Sansar Pustak Hai Summary Kerala Syllabus
i. संसार-रूपी पुस्तक में आप क्या-क्या पढ़ सकते हैं?
Kerala Syllabus 9th Standard Hindi Solutions Unit 4 Chapter 2 संसार पुस्तक है 7
ii. आपके इलाके की भी एक कहानी होती है। लिखें उसकी आत्मकथा।
Kerala Syllabus 9th Standard Hindi Solutions Unit 4 Chapter 2 संसार पुस्तक है 8
उत्तर:
संसार-रूपी पुस्तक से हम संसार के विभिन्न संसाधनों के संबंध में पढ़ सकते हैं। संसार
के बातों की विशेषताएँ, उनका विकासक्रम, उनमें असर डालनेवाले तत्व आदि की
जानकारी संसार-रूपी पुस्तक से मिल सकती है।
आत्मकथा लिखते समय ध्यान दें :
लेखन में कहानीपन हो।
मुख्य बातों को जोड़ें।
आत्मकथा शैली हो।

संसार पुस्तक है Additional Questions and Answers

संसार पुस्तक है आशयग्रहण के प्रश्न

Hss Live Guru Hindi 9th Kerala Syllabus प्रश्ना 1.
इंग्लैंड और हिंदुस्तान क्या फरक बताया है?
Kerala Syllabus 9th Standard Hindi Solutions Unit 4 Chapter 2 संसार पुस्तक है 9
उत्तर:
इंग्लैंड केवल एक छोटा-सा टापू है और हिंदुस्तान एक बहुत बड़ा देश है।

Hsslive Guru Hindi Class 9 Kerala Syllabus प्रश्ना 2.
आदमियों के आने के पहले धर्ती की क्या स्थिति थी?
Kerala Syllabus 9th Standard Hindi Solutions Unit 4 Chapter 2 संसार पुस्तक है 10
उत्तर:
आदमियों के पहले सिर्फ जानवर थे, और जानवरों से पहले धरती पर कोई जानदार चीज़ न थी।

Hss Live Guru Class 9 Hindi Kerala Syllabus प्रश्ना 3.
विज्ञान पृथ्वी के संबंध में क्या कहता है?
Kerala Syllabus 9th Standard Hindi Solutions Unit 4 Chapter 2 संसार पुस्तक है 11
उत्तर:
एक ऐसा समय था जब यह धरती बेहद गर्म थी और इसपर कोई जानदार चीज़ नहीं रह सकती थी।

Hss Live Guru 9 Hindi Kerala Syllabus प्रश्ना 4.
हमें दुनिया का पुराना हाल कहाँ से मालूम होगा?
Kerala Syllabus 9th Standard Hindi Solutions Unit 4 Chapter 2 संसार पुस्तक है 12
उत्तर:
पहाड़, समुद्र, सितारे, नदियाँ, जंगल, जानवरों की पुरानी हड्डियाँ और भी इसी तरह की अनेक चीज़ों से हम दुनिया का पुराना हाल मालूम कर सकते हैं।

Hsslive Guru Class 9 Hindi Kerala Syllabus प्रश्ना 5.
चट्टान का एक टुकड़ा चिकने चमकीले रोड़े में कैसे बदल जाता है?
Kerala Syllabus 9th Standard Hindi Solutions Unit 4 Chapter 2 संसार पुस्तक है 13
उत्तर:
चट्टान का टुकड़ा पानी के बहाव में घाटी में आ पहुँचता है। वहाँ से कोई नाला उसे छोटे-से दरिया में पहुँचाता है। फिर वह बड़े दिया में आ जाता है। इस बीच लुढ़कतेलुढ़कते वह चिकना चमकीला हो गया।

संसार पुस्तक है Grammar

संसार पुस्तक है व्याकरण के प्रश्न

प्रश्ना 1.
ये वाक्य पढ़ें :
Kerala Syllabus 9th Standard Hindi Solutions Unit 4 Chapter 2 संसार पुस्तक है 14
i. इंग्लैंड केवल एक छोटा-सा टापू है।
Kerala Syllabus 9th Standard Hindi Solutions Unit 4 Chapter 2 संसार पुस्तक है 15
ii. हिंदुस्तान दुनिया का छोटा-सा हिस्सा है।
Kerala Syllabus 9th Standard Hindi Solutions Unit 4 Chapter 2 संसार पुस्तक है 16
इन बातों को मिलाकर पाठ भाग में कैसे प्रस्तुत किया गया है? देखें :
Kerala Syllabus 9th Standard Hindi Solutions Unit 4 Chapter 2 संसार पुस्तक है 17
….इंग्लैंड केवल एक छोटा-सा टापू है और हिंदुस्तान, जो एक बहुत बड़ा देश है, फिर भी दुनिया का एक छोटा-सा हिस्सा है।’
i. ऐसी प्रस्तुति में कौन-सा नया आशय मिलता है?
Kerala Syllabus 9th Standard Hindi Solutions Unit 4 Chapter 2 संसार पुस्तक है 18
ii. इसमें रेखांकित शब्दों की भूमिका पहचानें।
Kerala Syllabus 9th Standard Hindi Solutions Unit 4 Chapter 2 संसार पुस्तक है 19
उत्तर:
इस प्रस्तुति से इंग्लैंड और हिंदुस्तान की तुलना की गई है। इसमें रेखांकित शब्द योजक की भूमिका निभा रहे हैं। इसका मुख्य और आश्रित उपवाक्य अर्थ-बोध में एक-दूसरे की सहायता करते हैं। इस वाक्य में उपवाक्यों को एक साथ रखने से ही एक विचार या अर्थ-बोध पूर्ण हुआ है। यह मिश्र वाक्य है।

प्रश्ना 2.
मिश्रित वाक्य चुनें :
Kerala Syllabus 9th Standard Hindi Solutions Unit 4 Chapter 2 संसार पुस्तक है 20
i. पाठ-भाग से ऐसे मिश्रित वाक्यों को चुनकर लिखें।
Kerala Syllabus 9th Standard Hindi Solutions Unit 4 Chapter 2 संसार पुस्तक है 21
ii. उन्हें सरल वाक्यों में विभाजित करें।
Kerala Syllabus 9th Standard Hindi Solutions Unit 4 Chapter 2 संसार पुस्तक है 22
iii. योजक शब्दों को सूचीबद्ध करें।
Kerala Syllabus 9th Standard Hindi Solutions Unit 4 Chapter 2 संसार पुस्तक है 23
उत्तर:
लेकिन विज्ञान जाननेवालों और विद्वानों ने, जिन्होंने इस विषय को खूब सोचा और पढ़ा है, लिखा है कि एक समय ऐसा था जब यह धरती बेहत गर्म थी और इसपर कोई जानदार चीज़ नहीं रह सकती थी।
विज्ञान जाननेवाले विद्वानों ने लिखा है।
विद्वानों ने इस विषय को खूब सोचा और पढ़ा है।
एक समय में यह धरती बेहद गर्म थी।
धरती में कोई जानदार चीज़ नहीं रह सकती थी।
योजक : जो, कि, और।

संसार पुस्तक है Summary in Malayalam and Translation

Hss Live 9th Hindi Kerala Syllabus
Hsslive Guru 9th Hindi Kerala Syllabus
Hss Live Guru Hindi 9th Kerala Syllabus
Hsslive Guru Hindi Class 9 Kerala Syllabus

प्रश्ना 1.
बात बड़ी है पुराणी
थी प्रकृति की भी कहानी
आज आपको भी सुनानी। …..
प्रकृति की कहानी क्या है?
Hss Live Guru Class 9 Hindi Kerala Syllabus
उत्तर:
प्रकृति एक दिन से बनी नहीं है इसका एक
बड़ा इतिहास है। प्राकृतिक संसाधनों के
बीच एक संतुलन है। यह संतुलन बिगड़ने
पर बड़ी आपत्ति होगी
Hss Live Guru 9 Hindi Kerala Syllabus
Hsslive Guru Class 9 Hindi Kerala Syllabus
Hss Live Guru 9th Hindi Notes Kerala Syllabus
संसार पुस्तक है पाठ के प्रश्न उत्तर Kerala Syllabus

संसार पुस्तक है शब्दार्थ

Sansar Pustak Hai Summary In Hindi Kerala Syllabus

Kerala Syllabus 8th Standard Maths Solutions Chapter 7 Ratio in Malayalam

Students can Download Maths Chapter 7 Ratio Questions and Answers, Notes Pdf, Activity in Malayalam Medium, Kerala Syllabus 8th Standard Maths Solutions helps you to revise the complete Kerala State Syllabus and score more marks in your examinations.

Kerala State Syllabus 8th Standard Maths Solutions Chapter 7 Ratio in Malayalam

Ratio Text Book Questions and Answers

Kerala Syllabus 8th Standard Maths Notes

8th Maths Notes Kerala Syllabus
Class 8 Maths Notes Kerala Syllabus
Kerala Syllabus 8th Std Maths Notes

Kerala Syllabus 8th Standard Maths Solution
Kerala Syllabus Class 8 Maths Solutions
7th Standard Maths Textbook Kerala Syllabus

7th Standard Maths Kerala Syllabus
Hss Live Guru 8th Maths
Hss Live Guru 8 Malayalam

Hss Live Guru Malayalam 8th
Kerala Syllabus 8th Standard Maths Solutions Chapter 7 Ratio in Malayalam 12
Kerala Syllabus 8th Standard Maths Solutions Chapter 7 Ratio in Malayalam 13
Kerala Syllabus 8th Standard Maths Solutions Chapter 7 Ratio in Malayalam 14
Kerala Syllabus 8th Standard Maths Solutions Chapter 7 Ratio in Malayalam 15

Kerala Syllabus 8th Standard Maths Solutions Chapter 7 Ratio in Malayalam 16
Kerala Syllabus 8th Standard Maths Solutions Chapter 7 Ratio in Malayalam 17
Kerala Syllabus 8th Standard Maths Solutions Chapter 7 Ratio in Malayalam 18
Kerala Syllabus 8th Standard Maths Solutions Chapter 7 Ratio in Malayalam 19

Kerala Syllabus 8th Standard Maths Solutions Chapter 7 Ratio in Malayalam 20
Kerala Syllabus 8th Standard Maths Solutions Chapter 7 Ratio in Malayalam 21
Kerala Syllabus 8th Standard Maths Solutions Chapter 7 Ratio in Malayalam 22
Kerala Syllabus 8th Standard Maths Solutions Chapter 7 Ratio in Malayalam 23

Kerala Syllabus 8th Standard Maths Solutions Chapter 7 Ratio in Malayalam 24
Kerala Syllabus 8th Standard Maths Solutions Chapter 7 Ratio in Malayalam 25
Kerala Syllabus 8th Standard Maths Solutions Chapter 7 Ratio in Malayalam 26
Kerala Syllabus 8th Standard Maths Solutions Chapter 7 Ratio in Malayalam 27

Kerala Syllabus 8th Standard Maths Solutions Chapter 7 Ratio in Malayalam 28
Kerala Syllabus 8th Standard Maths Solutions Chapter 7 Ratio in Malayalam 29
Kerala Syllabus 8th Standard Maths Solutions Chapter 7 Ratio in Malayalam 30
Kerala Syllabus 8th Standard Maths Solutions Chapter 7 Ratio in Malayalam 31

Plus One Physics Notes Chapter 2 Units and Measurement

Students can Download Chapter 2 Units and Measurement Notes, Plus One Physics Notes helps you to revise the complete Kerala State Syllabus and score more marks in your examinations.

Kerala Plus One Physics Notes Chapter 2 Units and Measurement

Plus One Physics Notes Chapter 2 Summary
Introduction

a. Fundamental or base quantities:
Physics is based on measurement of physical quantities. Certain physical quantities are chosen as fundamental or base quantities. Length, mass, time, electric current thermodynamic temperature, amount of substance and luminous intensity are such base quantities.

b. Units: Fundamental Units and Derived Units Unit:
Measurement of any physical quantity is made by comparing it with a standard. Such standard of measurement are known as unit. If length of rod is 5 m, it means that the length of rod is 5 times the standard unit ‘metre’.

Fundamental Unit:
The unit of fundamental or base quantities are called fundamental or base units. The base units are listed in table.

Base quantityBase unit
LengthMetre
Masskilogram
TimeSecond
Electric currentAmpere
Thermodynamic TemperatureKelvin
Amount of Substancemole
Luminous IntensityCandela

Derived Unit
The units of other physical quantities can be expressed as combination of base units. Such units are called derived units.
Example: Unit of force is kgms-2 (or Newton). Unit of velocity is ms-1.

The International System Of UnitsDerived Unit
System of Units: A complete set of fundamental and derived units is called a system of unit.

a. Different system of units:
The different systems of units are CGS system FPS (or British) system, MKS system and SI system. A comparison of these systems of unit is given in the table below, (for length, mass and time)
Plus One Physics Notes Chapter 2
Note: The first three systems of units were used in earlier time. Presently we use SI system.

b. International System Of Unit (Si Unit):
The internationally accepted system of unit for measurement is system international d’ unites (French for International System of Units). It is abbreviated as SI.

The SI system is based on seven fundamental units and these units have well defined and internationally accepted symbols, (given in table – 2.1)

c. Solid Angle and Plane Angle:
Other than the seven base units, two more units are defined.
1. Plane angle (dq): It is defined as ratio of length of arc (ds) to the radius, r.
Plus One Physics Chapter 2 Notes Pdf
Unit And Measurement Class 11 Notes Pdf Chapter 2
The unit of plane angle is radian. Its symbol is rad.

2. Solid Angle (dW): It is defined as the ratio of the intercepted area (dA) of spherical surface, to square of its radius.
Units And Measurements Questions And Answers Pdf Hsslive
Units And Measurements Class 11 Chapter 2
The unit of solid angle is steradian. The symbol is Sr.

Unit And Measurement Class 11 Notes Pdf Chapter 2 Measurement Of Length
Two methods are used to measure length

  • direct method
  • indirect method.

The metre scale, Vernier caliper, screwgauge, spherometer are used in direct method for measurement of length. The indirect method is used if range of length is beyond the above ranges.

1. Measurement Of Large Distances:
Parallax Method:
Parallax method is used to find distance of planet or star from earth. The distance between two points of observation (observatories) is called base. The angle between two directions of observation at the two points is called parallax angle or parallactic angle (q).

Plus One Physics Chapter 2 Notes Pdf Parallax Method
The planet ‘s’ is at a distance ‘D’ from the surface of earth. To measure D, the planet is observed from two observatories A and B (on earth). The distance between A and B is b and q be the parallax angle between direction of observation from A and B.
Plus One Physics Note Chapter 2

AB can be considered as an arch A h B of length ‘b’ of a circle of radius D with its center at S. (Because q is very small, \(\frac{b}{D}\)<<1], Thus from arch-radius relation.
Class 11 Physics Chapter 2 Notes
Thus by measuring b and q distance to planet can be determined. The size of planet or angular diameter of planet can be measured using the value of D. If the angle a (angle between two directions of observation of two diametrically opposite points on planet) is measured using a
Unit And Measurement Notes Pdf Chapter 2
Physics Class 11 Chapter 2 Notes
Where d is diameter of planet.

2. Estimation Of Very Small Distances:
Size Of Molecule
Electron microscope can measure distance of the order of 0.6A0 (wavelength of electron).

3. Range Of Lengths:
The size of the objects in the universe vary over a very wide range. The table (given below) gives the range and order of lengths and sizes of some objects in the universe.
Units And Measurements Class 11 Notes Pdf Download
Units for short and large lengths
1 fermi = 1f = 10-15m
1 Angstrom = 1A° = 10-10m
1 astronomical unit = 1AU = 1.496 × 1011m
1 light year = 1/y = 9.46 × 1015m
(Distance that light travels with velocity of 3 × 108 m/s in 1 year)
1 par sec = 3.08 × 1016m = 3.3 light year
(par sec is the distance at which average radius of earth’s orbit subtends an angle of 1 arc second).

Units And Measurements Questions And Answers Pdf Hsslive Measurement Of Mass
Mass is basic property of matter. The S.l. unit of mass is kg. While dealing with atoms and molecules, the kilogram •is an inconvenient unit. In this case there is an important standard unit called the unified atomic mass unit( u).
1 unified atomic mass unit = lu
= (1/12)th of the mass of carbon-12

1. Range Of Masses:
The masses of the objects in the universe vary over a very wide range which is given in the table.
Plus One Physics Notes Chapter 2 Units and Measurement - 11

Units And Measurements Class 11 Chapter 2 Measurement Of Time
To measure any time interval we need a clock. We now use an atomic standard of time, which is based on the periodic vibrations produced in a cesium atom. This is the basis of the cesium clock sometimes called atomic clock.

Plus One Physics Note Chapter 2 Definition of second:
One second was defined as the duration of 9, 192, 631, 770 internal oscillations between two hyperfine levels of Cesium-133 atom in the ground state.
Range and Order of time intervals
Plus One Physics Notes Chapter 2 Units and Measurement - 12

Class 11 Physics Chapter 2 Notes Accuracy, Precision Of Instruments And Errors In Measurement
Error:
The result of every measurement by any measuring instrument contains some uncertainty. This uncertainty is called error.

Systematic errors:
The systematic errors are those errors that tend to be in one direction, either positive or negative.

Sources of systematic errors

  1. Instrumental errors
  2. Imperfection in experimental technique or procedure
  3. personal errors

1. Instrumental errors:
Instrumental error arise from the errors due to imperfect design or calibration of the measuring instrument.
eg: In Vernier Callipers, the zero mark of vernier scale may not coincide with the zero mark of the main scale.

2. Imperfection in experimental technique or procedure:
To determine the temperature of a human body, a thermometer placed under the armpit will always give a temperature lower than the actual value of the body temperature. Other external conditions (such as changes in temperature, humidity, velocity……..etc) during the experiment may affect the measurement.

3. Personal Errors:
Personal error arise due to an individual’s bias, lack of proper setting of the apparatus or individual carelessness etc.

Random errors
The random errors are those errors, which occur irregularly and hence are random with respect to sign and size. These can arise due to random and unpredictable fluctuations in experimental conditions (eg. unpredictable fluctuations in temperature, voltage supply, etc.)

Unit And Measurement Notes Pdf Chapter 2 Least Count Error
The smallest value that can be measured by the measuring instrument is called its least count. The least count error is the error associated with the resolution of the instrument. By using instruments of higher precision, improving experimental technique etc, we can reduce least count error.

1. Absolute Error, Relative Error And Percentage Error:
The magnitude of the difference between the true value of the quantity and the measured value is called absolute error in the measurement. Since the true value of the quantity is not known, the arithmetic mean of the measured values may be taken as the true value.

Physics Class 11 Chapter 2 Notes Explanation:
Suppose the values obtained in several measurements are a1, a2, a3,………,an. Then arithmetic mean can be written as
Plus One Physics Notes Chapter 2 Units and Measurement - 13
The absolute error,
∆a1 = amean – a1
∆a2 = amean – a2
∆an = amean – an

a. Mean absolute error:
The arithmetic mean of all the absolute errors is known as mean absolute error. The mean absolute error in the above case,
Plus One Physics Notes Chapter 2 Units and Measurement - 14

b. Relative error:
The relative error is the ratio of the mean absolute error (Damean) to the mean value (amean).
Plus One Physics Notes Chapter 2 Units and Measurement - 15

c. Percentage error:
The relative error expressed in percent is called the percentage error (da).
Plus One Physics Notes Chapter 2 Units and Measurement - 16
Example:
Units And Measurements Class 11 Notes Pdf Download Question 1.
When the diameter of a wire is measured using a screw gauge, the successive readings are found to be 1.11 mm, 1.14mm, 1.09mm, 1.15mm and 1.16mm. Calculate the absolute error and relative error in the measurement.
Answer:
The arithmetic mean value of the measurement is
Plus One Physics Notes Chapter 2 Units and Measurement - 17
The absolute errors in the measurements are
1.13 – 1.14 = 0.02mm
1.13 – 1.14 = -0.01mm
1.13 – 1.09 = 0.04mm
1.13 – 1.15 =-0.02 mm
1.13 – 1.16 = 0.03mm
The arithmetic mean of the absolute errors
Plus One Physics Notes Chapter 2 Units and Measurement - 18
Percentage of relative error
Plus One Physics Notes Chapter 2 Units and Measurement 19

2. Combination Of Errors:
When a quantity is determined by combining several measurements, the errors in the different measurements will combine in some way or other.

a. Error of a sum or a difference:
Rule: when two quantities are added or subtracted, the absolute error in the final result is the sum of the absolute errors in the individual quantities.
Explanation:
Let two quantities A and B have measured values A ± DA and B ± DB respectively. DA and DB are the absolute errors in their measurements. To find the error Dz that may occur in the sum z = A + B,
Consider
z + ∆z = (A ± ∆A) + B ± ∆B = (A + B) ± ∆A ± ∆B
The maximum possible error in the value of z is given by,
Plus One Physics Notes Chapter 2 Units and Measurement 20
Similarly, it can be shown that, the maximum error in the difference.
Z = A – B is also given by
Plus One Physics Notes Chapter 2 Units and Measurement 21

b. Error of product ora quotient:
Rule: When two quantities are multiplied or divided, the relative error in the result is the sum of the relative errors in the multipliers.
Explanation:
Suppose Z=AB and the measured values of A and B are A + DA and B + DB. They
Z + DZ = (A + DA) (B + DB)
= AB ± BDA ± ADB ± DADB
Dividing LHS by Z and RHS by AB, we get
Plus One Physics Notes Chapter 2 Units and Measurement 22

c. Errors in case of a measured quantity raised to a power:
Suppose Z = A2
Plus One Physics Notes Chapter 2 Units and Measurement 23

Hence, the relative error in A2 is two time the error in A.
In general, if \(Z=\frac{A^{P} B^{q}}{C^{T}}\)
Then
Plus One Physics Notes Chapter 2 Units and Measurement 24
Hence the rule: The relative error in a physical quantity raised to the power K is the K times the relative error in the individual quantity.

Chapter 2 Physics Class 11 Notes Significant Figures
Every measurement involves errors. Hence the result of measurement should be reported in a way that indicates the precision of measurement.

Normally, the reported result of measurement is a number that includes all digits in the number that are known reliable plus the first digit that is uncertain. The reliable digits plus the first uncertain digit are known as significant digits or significant figures.
Example:

  • The length of a rod measured is 3.52cm. Here there are 3 significant figures. The digits 3 and 5 are reliable and the last digit 2 is uncertain.
  • The mass of a body measured as 3.407g. Here there are four significant figures. The figure 7 is uncertain.

When the measurement becomes more accurate, the number of significant figure is increased.
Rules to find significant figures:
1. All the non zero digits are significant.
Example:
Physics Notes For Class 11 Kerala Syllabus Chapter 2 Question 1.
Find significant figure of

  • 2500
  • 263.25

Answer:

  • In this case, there are two nonzero numbers. Hence significant figure is 2.
  • In this, there are 5 nonzero numbers. Hence significant figure is 5.

2. All the zeros between two nonzero digits are significant, no matter where the decimal point is,
Example:
Units And Measurements Class 11 Notes Chapter 2 Question 2.
Find the significant figure

  • 2.05
  • 302.005
  • 2000145

Answer:

  • Significant figure is 3
  • Significant figure is 6
  • Significant figure is 7

3. If the number is less than 1, the zeros on the right of decimal point but to the left to the first nonzero digits are not significant.
Example:
Class 11 Physics Notes Units And Measurements Chapter 2 Question 1.
Find the significant figure of

  • 0.002308
  • 0.000135

Answer:

  • 4 significant figures
  • 3 significant figures

4. The terminal zeros in a number without a deci¬mal point are not significant.
Example:
Physics Class 11 Chapter 2 Question 1.
Find the significant figure of

  • 12300
  • 60700

Answer:

  • 3
  • 3

Note: But if the number obtained is on the basis of actual measurement, all zeros to the right of last non zero digit are significant.
Example: If distance is measured by a scale as 2010m. This contain 4 significant figures.

5. The terminal zeros in a number with a decimal point are significant.
Example:
Gvhss Payyoli Physics Notes Chapter 2 Question 1.
Find the significant figure of

  • 3.500
  • 0.06900
  • 4.7000

Answer:

  • 4
  • 4
  • 5

Method to find significant figures through scientific notation:
In this notation, every number is expressed as a × 10b, where a is a number between 1 and 10 and b is any positive or negative power. In this method, we write the decimal after the first digit.
Example:
4700m =4.700 × 103m
The power of 10 is irrelevant to the determination of significant figures. But all zeros appearing in the base number in the scientific notation are significant. Hence each number in this case has 4 significant figures.
Significant figures in numbers:-

NumbersSignificant figures
13744
13.744
0.13744
0.013744
0137405
1374.05
51002
51.004
5.1004
3.51 × 1033
2.1 × 10-22
0.4 × 10-41

a. Rules for Arithmetic operations with significant figures:
1. Rules for multiplication or division:
In multiplication or division, the computed result should not contain greater number of significant digits than in the observation which has the fewest significant digits.
Examples:
(i) 53 × 2.021 =107.113
The answer is 1.1 × 102 since the number 53 has only 2 significant digits.

(ii) 3700 10.5 = 352.38
The answer is 3.5 × 102 since the minimum number of significant figure is 2 (in the number 3700)

2. Rules for Addition and Subtraction:
In addition or substraction of given numbers, the same number of decimal places is retained in the result as are present in the number with minimum number of decimal places.
Examples:
(i) 76.436 +
12.5
88.936
The answer is 88.9, since only one decimal place is found in the number 12.5.

(ii) 43.6495 +
4.31
47.9595
The answer is 47.96 since only two decimal places are to be retained.

(iii) 8.624 –
3.1726
5.4514
The answer is 5.451

(iv) 6.5 × 10-5 – 2.3 × 10-6 = 6.5 × 10-5 – 0.23 × 10-5
= 6.27 × 10-5
The answer is = 6.3 × 10-5

Units And Measurements Class 11 Notes Pdf Chapter 2 Dimensions And Dimensional Analysis
All physical quantities can be expressed in terms of seven fundamental quantities. (Mass, length, time, temperature, electric current, luminous intensity and amount of substance). These seven quantities are called the seven dimensions of the physical world.

The dimensions of the three mechanical quantities mass, length and time are denoted by M, L and T. Other dimensions are denoted by K (for temperature), I (for electric current), cd (for luminous intensity) and mol (for the amount of substance).

The letters [L], [M], [T] etc. specify only the nature of the unit and not its magnitude. Since area may be regarded as the product of two lengths, the dimensions of area are represented as [L] × [L] = [L]2.

Similarly, volume being the product of three lengths, its dimensions are represented by [L]3. Density being mass per unit volume, its dimensions are M/L3 or M1L3.

Thus, the dimensions of a physical quantity are the powers to which the fundamental units of length, mass, time must be raised to represent it.
Note: The dimensions of a physical quantity and the dimensions of its unit are the same.

Class 11 Physics Notes Chapter 2 Dimensional Formula And Dimensional Equations
An equation obtained by equating a quantity with its dimensional formula is called dimensional equations of the physical quantities.
Examples:
Consider for example, the dimensions of the following physical quantities.
1. Velocity: Velocity = distance/ time = L/T = L1T-1 \The dimension of velocity are, zero in mass, 1 in length and-1 in time.

2. Acceleration:
Acceleration = \(\frac{\text { Change in velocity }}{\text { time }}=\frac{L^{1} T^{-1}}{T}=L^{1} T^{-2}\)

3. Force: Force = mass × acceleration
Dimensions of force = M × L1T-2 = M1L1T -2
That is, the dimensions of force are 1 in mass, 1 in length and -2 in time.

4. Momentum: Momentum = mass × velocity
Dimensions of momentum = M × L1T-1 = M1L1T -1

5. Moment of a force: Moment = force × distance
Dimensions of moment = M1L1T-2 × L = M1L2T -2

6. Impulse: Impulse = force × time
Dimensions of impulse = M1L1T-2 × T = M1L1T -1

7. Work: Work = force × distance
Dimensions of work = M1L1T-2 × L = M1L2T -2

8. Energy: Energy = Work done
Dimensions of energy = dimensions of work = M1L2T-2.

9. Power: Power = work/time
Dimensions of power \(=\frac{M^{2} L^{2} T^{-2}}{T}p\) = M1L2T-3

 

Explain Parallax Method Class 11 Chapter 2 Dimensional Analysis And Its Applications
The important uses of dimensional equations are:

  1. To check the correctness of an equation.
  2. To derive a correct relationship between different physical quantities.
  3. To convert one system of units into another.

1. Checking the correctness of an equation:
For the correctness of an equation, the dimensions on either side must be the same. This ‘ is known as the principle of homogeneity of dimensions.

If an equation contains more than two terms, the dimensions of each term must be the same. Thus, if x = y + z, Dimensions of x = dimensions of y = dimensions of z
Example :
Units And Dimensions Class 11 Chapter 2 Question 1.
Check the correctness of the equation s = ut + 1/2at2 by the method of dimensions.
Dimensions of, s = L1
Dimensions of, u = L1T-1
Dimensions of, ut = L1T-1 × T1 = L1
Dimensions of, a = L1T-2
Dimensions of, at2 = L1T-2 × T2 = L1
The constant 1/2 has no dimensions. Each term has dimension L1.
Therefore, dimensions of, ut + 1/2 at2 = 1
Thus, either side of the equation has the same dimen¬sion L1 and hence the equation is dimensionally correct.
Note: Even though the equation is dimensionally correct, it does not mean that the equation is necessarily correct. For instance the equation s = ut + at2 is also dimensionally correct, though the correct equation, s = ut + 1/2 at2.

2. Deriving the correct relationship between different physical quantities:
The principle of homogeneity of dimensions also helps to derive a relationship between the different physical quantities involved. This method is known as dimensional analysis.
Example :
Question 1.
Deduce an expression for the period of oscillation of a simple pendulum.
The period of the simple pendulum may possibly depend upon

  • The mass of the bob, m
  • The length of the pendulum, I
  • Acceleration due to gravity, g
  • The angle of swing, q

Let us write the equation for the time period as t = kma lb gc θd
where, k is a constant having no dimensions; a, b, c are to be found out. ’
The dimensions of, t = T1
Dimensions of m = M1
Dimensions of, l = L1
Dimensions of, g = L1T-2
Angle q has no dimensions (since, q = arc/radius = L/L) Equating the dimensions of both sides of the equation, we get,
T1 = MaLb (L1T-2)c
ie. T1 = MaLb+cT-2c
The dimensions of the terms on both sides must be the same. Equating the powers of M, L and T.
a = 0; b + c = 0; -2c = 1
∴ c = \(\frac{-1}{2}\), b = c = \(\frac{1}{2}{/latex]
Hence, the equation becomes,
t = kl1/2, 2g-1/2
ie, t = k[latex]\sqrt{l/g}\)
Experimentally, the value of k is found to be 2p.
Limitations of Dimensional Analysis:
The method of dimensional analysis has the following limitations:

  • It gives no information about the dimensionless constant involved in the equation.
  • The method is not applicable to equations involving trigonometric and exponential functions.
  • This method cannot be employed to derive the exact form of the relationship, if it contains sum
    of two, or more terms.
  • If the given physical quantity depends on more than three unknown quantities, the method fails.

3. Conversion of one system of units to another:
Suppose we have a physical quantity of dimensions a, b and c in mass, length and time. The dimensional formula for the quantity is therefore, MaLbTc. Let its numerical value be n, in one system in which the fundamental units of mass, length and time are M1, L1 and T1 respectively. Then, the magnitude of the physical quantity
= n1 M1aL1bT1c
Also, let the numerical value of the same quantity be n2 in another system where the fundamental units of mass, length and time are M2, L2 and T2respectively. Then the magnitude of the quantity
= n2 M2aL2bT2c
Equating, n2 M2aL2bT2c =
n1 M1aL1bT1c
Plus One Physics Notes Chapter 2 Units and Measurement 25

Example :
Question 1.
Find the number of dynes in one newton.
Answer:
Dyne is the unit of force in the C.G.S. system and newton is the S.I.unit. The dimensional formula for force is M1L1T-2. In eqn. (1) let the suffix 1 refer to quantities in S.I and 2 those in the C.G.S. system.
Here, a = 1, b = 1 and c = 2
Plus One Physics Notes Chapter 2 Units and Measurement 26
and n1 = 1 (ie. one Newton)
By eqn. (1),
n2 = 1 (1000)1 (100)1 (1)-2 = 105
ie. 1 newton = 105 dynes.

Kerala Syllabus 9th Standard Chemistry Solutions Chapter 6 Non-Metals in Malayalam

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Kerala Syllabus 8th Standard Maths Solutions Chapter 1 Equal Triangles

You can Download Equal Triangles Questions and Answers, Activity, Notes, Kerala Syllabus 8th Standard Maths Solutions Chapter 1 help you to revise complete Syllabus and score more marks in your examinations.

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Equal Triangles Text Book Questions and Answers

Textbook Page No. 11

Equal Triangles Class 8 Questions And Answers Kerala Syllabus Question 1.
In each pair of triangles below, find all pair of matching angles and write them down.
Equal Triangles Class 8 Questions And Answers Kerala Syllabus
Solution:
(i) ∠A = ∠R (The angles opposite to 5cm sides)
∠B = ∠P (The angles opposite to the sides of length 4 cm)
∠C = ∠Q (The angles opposite to the sides of length 6 cm)

(ii) ∠L = ∠Y (The angles opposite to the sides of length 10cm)
∠M = ∠Z (The angles opposite to the side of length 4 cm)
∠N = ∠X (The angles opposite to the side of length 8cm)

Kerala Syllabus 8th Standard Maths Notes Question 2.
In the triangles below AB = QR, BC = RP, CA = PQ
Kerala Syllabus 8th Standard Maths Notes
Compute ∠C of ∆ABC and all angle of ∆PQR.
Solution: C = 80° (Use the property that the sum of three angles of a triangle is 180°)
AB = QR
∴ ∠C = ∠P
∠C = 80°
∴ ∠P = 80°

BC = RP
∴ ∠A = ∠Q
∠A = 40°
∴ ∠Q = 40°

CA = PQ
∴ ∠B = ∠R
∠B = 60°
∴ ∠R = 60°
(The angle opposite to equal sides are equal)

Equal Triangles – Class 8 Solutions Kerala Syllabus Question 3.
In the triangle below.
AB = QR BC = PQ CA = RP
Equal Triangles - Class 8 Solutions Kerala Syllabus
Compute the remaining angles of both the triangles.
Solution:
AB = QR ∴ ∠C = ∠P
BC = PQ ∴ ∠A = ∠R
CA = RP ∴ ∠B= ∠Q
∠A = 60° ∴ ∠R = 6o°
∠Q = 70° ∴ ∠B = 70°
∠A = 60, ∠B = 70° then ∠C = 180 – (60° + 70°)
∴ ∠C = 50° ∴ ∠P = 50°

Equal Triangles Class 8 Notes Pdf Kerala Syllabus Question 4.
Equal Triangles Class 8 Notes Pdf Kerala Syllabus
Are the angles of ∆ABC and ∆ABDequal in the figure above? Why?
Solution:
The side AB is common to both the triangles in the figure.
The side of ∆ABC are equal to the sides of ∆ABD. So the angles of ∆ABC are equal to the sides of ∆ABC.

8th Standard Maths Guide Kerala Syllabus Question 5.
In the quadrilateral ABCD shown below, AB = AD, BC = CD
8th Standard Maths Guide Kerala Syllabus
Compute all the angles of the quadrilateral?
Solution:
AB = AD, BC = CD
AC is the common side
The sides of the triangles ABC and ADC are equal. So their angles are also equal. AB = DC
∴ ∠ACD = ∠ACB = 50° (Angles opposite to equal sides of a triangle are equal)
BC = CD
∴ ∠BAC = ∠DAC = 30° (Angles opposite to equal sides are equal in a triangle )
∴ ∠D = ∠B = 100°

Textbook Page No. 15

8th Class Maths Notes Kerala Syllabus Question 1.
In each pair of triangles below find the pairs of matching angles and write them down.
8th Class Maths Notes Kerala Syllabus
Solution:
(i) BC = PR (If two sides of a triangle and the angle made by them are equal to two sides of another triangle and the angle made by them, then the third sides of the triangle are also equal.)
∴ ∠B = ∠R
∴ ∠C = ∠P
∴ ∠A = ∠Q (The opposite angles of equal sides of two triangles are also equal)

(ii) MN = XY (If two sides of triangle and the angle made by then are equal to two sides of another triangle and the angle made by them, then the third sides of the triangle are also equal)
∴ ∠L = ∠Z
∠M = ∠Y
∠N = ∠X (If two sides of a triangle are equal, the angles opposite to these sides are also equal)

Class 8 Maths Chapter 1 Kerala Syllabus Question 2.
In the figure below, AC and BE are parallel lines.
Class 8 Maths Chapter 1 Kerala Syllabus
(i) Are the lengths of BC and DE equal. Why?
(ii) Are BC and DE parallel? Why?
Solution:
(i) Given AC and BE are parallel lines.
∴ ∠CAB = ∠EBD
When we consider the triangles ∆CAB, ∆EBD (Corresponding angles)
BC = DE (The two sides of ∆ CAB and the angle made by them are equal to the two sides of ∆ EBD and the angle made by them. So the thirif side of triangle are also equal.)

(ii) Yes, they are parallel.
∠ABC = ∠BDE (The angles opposite to the equal sides of equal triangles are equal) But they are corresponding angles. BC and DE are parallel.

Kerala Syllabus Class 8 Maths Solutions Question 3.
Is ABCD in the figure, a parallelo¬gram? Why?
Kerala Syllabus Class 8 Maths Solutions
Solution:
AC = BD
AB is the common side.
The angles between the sides AC, AB and BD, AB are equal.
∴ BC = AD
The opposite sides of quadrilateral ∆CBD are equal. The angles opposite to equal sides of triangles ∆ABC and ∆ABD are equal. So the opposite angles in quadrilateral ACBD are also equal.
∴ ACBD is a parallelogram.

Kerala Syllabus 8th Standard Maths Notes Pdf Question 4.
In the figure below, M is the midpoint of the line AB. Compute the other two angles of ∆ABC
Kerala Syllabus 8th Standard Maths Notes Pdf
Solution:
AM = BM (Given M is the mid point of AB)
CM = CM (common)
∠AMC = 90° = ∠BMC
∴ The two sides in ∆AMC and ∆BMC and the angle made by them are equal.
So the third side and other angles are equal.
∠A = 50° ∴ ∠B = 50°
∠ACM = 40° ∴ ∠BCM = 40°
∴ ∠C = 80°

Class 8 Maths Chapter 1 Notes Kerala Syllabus Question 5.
In the figure below, the lines AB and CD are parallel and M is the mid point of AB.
Class 8 Maths Chapter 1 Notes Kerala Syllabus
(i) Compute the angle of ∆AMD, ∆MBC and ∆DCM?
(ii) What is special about the quadrilateral AMCD and MBCD?
Solution:
Given AB = 12 cm and M is the mid-point of AB.
∴ AM = MB = 6 cm
In quadrilateral AMCD,
AM = CD
AB||CD ∴ AM||CD
∴ AMCD is a parallelogram.
∴ ∠AMD = ∠CDM (Alternate interior angles)
∠ADM = ∠CMD (Alternate interior angles)
∠A = ∠DCM = 40° = ∠CMB
∴ ∠MCB = 80° [180 – (60 + 40)]
(i) The angles of ∆AMD, ∆MBC and ∆DCM are 40°, 60° and 80° respectively.
(ii) Both of them are parallelograms.

Textbook Page No. 21

Class 8 Maths Scert Solutions Kerala Syllabus Question 1.
In each pair of triangles below, find matching pairs of sides and write their names.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 11
Solution:
(i) BC = PQ
AC = PR (The two angles and the side in between them in ∆ ABC are equal to the two angles and the side in between them in ∆PQR. So the third angles of the triangles ∠C and ∠R are also equal. Also BC and PQ, opposite to the 50° angle are also equal. The sides AC and PR opposite to the 70° angle are also equal.

(ii) ∠N = 70°
∠Z= 80°
MN = XZ
∠M = ∠Z(Sides opposite to equal angles are also equal)

8th Maths Notes Kerala Syllabus  Question 2.
In the figure, AP and BQ equal and parallel are lines drawn at the ends of the line AB. The point of inter section of PQ and AB is marked as M.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 12
(i) Are the sides of ∆AMP equal to the sides of ∆BMQ? Why?
(ii) What is special about the position of M on AB.
(iii) Draw a line 5.5 cm long. Using a set square, locate the midpoint of this line.
Solution:
(i) Yes, they are equal
∠P = ∠Q
∠A = ∠B (alternate angles formed by cutting the parallel lines AP and QB by PQ and AB.)
AP = QB
∴ The third angle of ∆APM and ∆BMQ and opposite sides of equal angles are equal.
(ii) AM = BM. So M is the midpoint of AB.
(iii) Draw a line segment of length 5.5 cm. Draw perpendiculars of equal lengths upward at one end of the line and downwards at the other end. Join the ends. This line divides the first one equally.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 13

Hsslive Guru Maths 8th Standard Kerala Syllabus Question 3.
In the figure, ABCDE is a pentagon with all sides of the same length and all angles of the same size. The sides AB and AE extended, meet the side CD extended at Px and Q.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 14
(i) Are the sides of ∆BPC equal to the sides of ∆EQD? Why?
(ii) Are the sides of AP and AQ of ∆ APQ equal? Why?
Solution:
(i) Yes, this are equal the sides and angles of a pentagon are equal.
∴ BC = DE
∠PBC = ∠PCB (Exterior angles of a regular pentagon)
∠QDE = ∠QED (Exterior angles of a regular pentagon)
∆QDE = ∆QED (If two angles and side of one triangle are equal are equal to two angles and corresponding side of the other triangle then their sides are equal.
BP = EQ and PC = DQ

(ii) AB = AE sides of regular pentagon.
BP = EQ
∴ AP = AQ [AB + BP = AC + EQ]

8th Standard Maths Notes State Syllabus Question 4.
In ∆ABC and ∆PQR shown below.
AB = QR BC = RP CA = PQ
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 15
(i) Are CD and PS equal? Why?
(ii) What is the relation between the areas of ∆ABC and ∆PQR?
Solution:
(i) AB = QR
BC = RP
∠A = ∠Q
∴ ∆ABC and ∆QRP are equal triangles. Given all sides of ∆ABC are equal to the sides of ∆QRP
∴ CD and PS are equal. (Opposite sides of equal angles

(ii) AB = QR and CD = PS
⇒ 1/2 AB × CD = 1/2QR × PS
∴ The areas of ∆ABC and ∆PQR are equal.

Question 5.
In the quadrilateral ABCD shown below the sides AB and CD are parallel. M is midpoint of the side BC. The lines DM and AB extended meet at N.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 16
(i) Are the areas of ∆DCM and ∆BMN equal? Why?
(ii) What is the relation between the areas of the quadrilateral ABCD and the triangle ADN.
Solution:
(i) M is the midpoint of the line BC.
∴ CM = MB; BN || DC
∴ ∠DCM = ∠NBM (Alternate angles)
∠DMC = ∠NMB (Vertically opposite angles)
∴ ∆DCM and ∆BMN are equal triangles. So their areas are equal.

(ii) The areas of ∆DCM and ∆BMN are equal and quadrilateral AB, MD common
∴ The area of the quadrilateral
ABCD and the area of ∆ADN are equal.

Question 6.
Are the two diagonals of a rectangle equal. Why?
Solution:
ABCD is a rectangle.
Consider the ∆ABD and ∆ABC
AB = AB, common AD = BC (opposite sides of rectangle); ∠A = ∠B =90°
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 17
Both sides of ∆ABD and ∆ABC and the angle formed by them are equal. So the third sides BD and AC are equal. So the diagonals of the rectangle are equal.

Textbook Page No. 26, 27

Question 1.
Some are equal isosceles triangles are drawn below, In each, one angle is given. Find the other angles.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 18
Solution:
(i) 30°, 75°, 75°
(ii) 40°, 70°, 70°
(iii) 20°, 8o°, 8o°
(iv) 100°, 40°, 40°

Question 2.
One angle of an isosceles triangle is 90°. What are the other two angles?
Solution:
The other two angles are equal. So they are 45°, 45°

Question 3.
One angle of an isosceles triangle is 6o°. What are the other two angles.
Solution:
The other two angles are equal. So they are 60°, 60°

Question 4.
In the figure below, O is the centre of the circle and A, B are points on the circle.
Compute ∠A and ∠B?
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 19
Solution:
OA = OB (radius of circle)
∆AOB is a isosceles triangle; ∴ ∠A = ∠B
∠O = 60°
∴ ∠A = ∠B = 60°

Question 5.
In the figure below, O is the centre of the circle and A, B, C are points on the circle.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 20
What are the angles of ∆ABC?
Solution:
∆AOB, ∆AOC, ∆BOC are isosceles triangles. Each triangles are with angles 120°, 30° and 30°.
∴ ∠A = ∠B = ∠C = 30° + 30° = 60°

Text Book Page No. 29

Question 1.
Draw a line of 6.5 centimetres long and draw its perpendicular bisector.
Solution:
Draw a line segment AB of length 6.5 c.m with A and B as centres draw arcs on both sides of AB with equal radii. The radius of each of these arcs must be more the half the length of AB. Let these arcs cut each other at points C and D. Join CD which cuts AB at M
Then AM = BM. Also ∠AMC = 90°
Hence, the line segment CD is the perpendicular bisector of AB as it bisects AB at M and is also perpendicular to AB.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 21

Question 2.
Draw a square, each side 3.75 centimetres long?
Solution:
Draw AB = 3. 75 cm at. A Construct ∠PAB = 90° from AP, cut AD = 3.75 cm
Taking D as centre, draw an arc of radius 3.75 cm and taking B as centre, draw one more are of radius 3.75 cm.
Let the two arcs intersect at point C. Join BC and DC.
Then ABCD is the required square.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 22

Question 3.
Draw an angle of 750 and draw its bisector?
Solution:
Draw a line segment AB of any suitable length with A as centre. Draw an arc of any size to cut AB at D. With D as centre. Draw another arcs of some size to cut the previous arc at C.
Now ∠CAD = 60°. Draw ∠EAB = 90° and bisect ∠EAC.
∴∠PAC = 150 ∠DAC + ∠CAP = 60 + 15 = 75°
∴ ∠BAP = 75°
Then bisect
∠BAP AQ to the bisectors of ∠PAB
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 23

Question 4.
Draw a circle of radius 2.25 centimetres.
Solution:
Draw a line of length 4.5 cm. Draw its perpendicular bisector it meet at point ‘O’.
‘O’ is the centre of the circle and radius = 2.25 cm. Then complete the circle.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 24

Question 5.
Draw ∆ ABC, with AB = 6 cm,
∠A = 22\(\frac{1}{2}\)°, ∠B = 67\(\frac{1}{2}\)°
Solution:
Draw the line AB in 6 cm length. Draw angle A at 45° and draw its bisector. Draw angle 135° at B and draw its bisector. Mark the point as C where bi-sectors meet.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 25

Question 6.
Draw a triangle and perpendicular bisectors of all three sides. Do all these three bisectors intersect at the same point?
Solution:
Draw a triangle ABC. By using compass mark the arcs on both sides from each ends.
Draw the same for all sides. They intersect at same point
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 26

Question 7.
Draw a triangle and the bisectors of the three angles. Do all three bisectors intersect at the same point.
Solution:
Draw a triangle PQR and by using com-pass draw the bisectors of angles. All three bisectors meet at the same point.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 27

Question 8.
Prove that if both pairs of opposite sides of a quadrilateral are equal, then it is a parallelogram.
Solution:
When the diagonal of a quadrilateral with equal opposite sides is drawn, we get two equal triangles. The angels opposite to the diagonal in the triangles are equal. That is the opposite sides and angles in the quadrilateral are equal. So the quadrilateral is a parallelogram.

Question 9.
In the figure, ABCD is parallelogram and AP = CQ
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 28
Prove that PBQD is a parallelogram
Solution:
DC = AB ………. (1)
AD = CB
QC = AP ……. (2) (as ABCD is a parallelogram)
(1) – (2) ⇒ DC – QC = AB – AP; ∴ DQ = PB
When, ∆ APD, ∆ CQB are considered.
AD = CB
AP = QC
∠A = ∠C, The two sides and angle formed by them in these triangles are equal. So the third sides PD and BQ are equal.
∴ Two pairs of opposite sides in the quadrilateral PBQD are equal. So PBQD is a parallelogram.

Question 10.
Prove that if all sides of a parallelogram are equal, them each diagonal is the perpendicular bisector of the other.
Solution:
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 29
The diagonal BD divides the parallelogram into two isosceles triangles. [The angles opposite to the equal sides in an isosceles triangles are equal.] So the diagonal DB bisect ∠D and ∠B.
Similarly the diagonal AC bisect A and ∠C. 4x +4y = 360° ⇒ x + y = 90°
The four triangles formed by intersec¬ting the diagonals are equal triangles. Each one 90 angle. So each diagonal is the perpendicular bisector of the other. In ∆AMD ∠AMD = 180 – (x – y) = 180 – 90 = 90° ⇒ BD ⊥ AC

Question 11.
In the figure below O is the centre of the circle and AB is the diameter. C is the point on the circle.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 30
(i) Compute ∠CAB
(ii) Draw another figure like this with a different number for the size of ∠COB. Calculate ∠CAB
Solution:
(i) ∠BOC = 50°
∴ ∠COA = 180° – 50°= 130° (straight angle)
OA = OC (radii)
∴ AOC is an isosceles triangle.
∴ ∠A = ∠C = \(\frac{180-130}{2}\) = 25°

(ii) ∠O = 70°
∴ ∠COA = 180 – 30 = 150°
OA = OC
∴ ∠CAB = ∠ACO =\(\frac{180-150}{2}=\frac{30}{2}\) = 15°
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 49

Question 12.
In the figure below, O is the centre of the circle and AB is a diameter. C is a point on the circle.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 31
(i) Compute ∠ACB
(ii) Draw another figure like this, changing the size of ∠COB and calculate ∠ACB.
Solution:
(i) ∠BOC = 50°
∠AOC = 130°
∆ AOC and ∆ BOC are isosceles triangles.
∠OAC = ∠OCA = \(\frac{180-130}{2}\) = 25°
∠OBC = ∠OCR = \(\frac{180-50}{2}\) = 65°
∠ACB = ∠OCA+ ∠OCB
25° + 65° = 90°

(ii) ∠AOC = 180 – 80 = 100°
∠OAC + ∠OCA = 180 – 100 = 8o°
∴ ∠OAC = ∠OCA = 80 ÷ 2 = 40°
∆ OBC
∠OBC + ∠OCB = 180 – 80 = 100°
∠OBC =∠OCB = 100 ÷ 2 = 50°
∠ACB = ∠OCA + ∠OCB
40° + 50° = 90°

Question 13.
How many different isosceles triangles be drawn with one angle 50° and any one side 7 centimetres.
Solution:
An isosceles triangle can be drawn with one angle 50° as angles either 50°, 50°, 8o° or 50°, 65°, 65°. In both the cases, 7 cm can be taken as equal sides or can be without 7 cm one as side. So there can be 4 ways of drawing diagram.

Question 14.
Draw ∆ ABC with AB = 7 cm, ∠A = 67\(\frac{1}{2}\), ∠B = 15° without using protector.
Solution:
Draw AB with length 7 cm. Extend both the sides. Draw the perpendicular from A. Draw the bisector through the left 90° angle among the 90° angles obtained. Draw an angle as 90° + 45° = 135°, Draw its bisector.
Now ∠A = 67\(\frac{1}{2}\). Draw an angle 60° in B to construct an equilateral triangle. Draw the bisector of its bisector. Then ∠B = 15°. We get ∆ ABC.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 48

Equal Triangles Additional Questions & Answers

Question 1.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 32
O is the centre of the circle in the diagram. If AB = BC,
(a) Then prove that ∠AOB = ∠BOC
(b) If OA = AB = BC, then find the values of ∠AOB and ∠BOC?
(c) Find out how many equilate¬ral triangles can be drawn in a circle with length of its side is radius.
Solution:
(a) OA = OB = OC, AB = BC
∆ OAB and ∆ OBC are equal triangles.
∴ ∠AOB and ∠BOC are equal which are opposite to the equal sides AB and BC.
(b) If OA = AB then ∆ OAB is an equilateral triangle.
If OB = BC, ∆ OBC is equilateral triangle.
∴ ∠AOB = ∠BOC = 60°
(c) Each angle at O is 60°. The angle at the centimeter is O is 360° and 6 triangles can be drawn.

Question 2.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 33
If AB = AD, BC = CD in the diagram, then prove that ∠ABC = ∠ADC
Solution:
The three sides of triangles ∆ ABC are equal. The angles opposite to the sides are also equal.
AB = AD, BC = DC, AC = AC
AC is the common side. So the angles opposite to this side ∠ADC and ∠ABC are also equal,
i e ∠ABC = ∠ADC

Question 3.
Draw a rhombus with sides and a diagonal as 5 cm.
Solution:
Draw a line of length 5 cm. Draw equilateral triangles on both ends of the line with length 5 cm and line as one side.

Question 4.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 34
In the figure, AB = DE, BC = EF and AC = DF. Can ∠BPD = ∠C? Prove it?
Solution:
The sides of ∆ DEF and ∆ ABC are equal. The angles opposite to equal sides are equal.
∠E = ∠B, ∠F = ∠C, ∠D = ∠A
But ∠C = 180 – (∠B + ∠A)
∠P = 180 – (∠B + ∠D)
∴ ∠D = ∠A
∴ ∠C = ∠P = 180 – (∠B + ∠A)
∴ ∠C = ∠P

Question 5.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 35
In the figure, AB = PQ, AC = PR, BC = QR. PQ is parallel to AB.
(a) Then show that BC is parallel to QR.
(b) Also show that PR is parallel to AC
Solution:
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 36
AB = PQ, AC = PR, BC = QR
∴ The angles of ∆ ABC and ∆ PQR are equal.
∠A = ∠P, ∠B =∠Q, ∠C = ∠R
(a) AB||PQ, ∴ ∠B = ∠PMN (corresponding angle);
∴ ∠PMN = ∠Q
∴ MN||QR
∴ BC||QR

(b) BC||QR
∠R = ∠MNP = ∠C
∴ NP||AC, PR||AC

Question 6.
Diagonals of three parallelograms with equal areas are given. Draw the parallelograms.
(i) length of diagonal 7 cm
(ii) length of diagonal 6 cm
(iii) length of diagonal 5 cm.
Solution:
(i) Draw a line of length 7 cm. Draw triangles of sides 7 cm, 6 cm, 5 cm at both the ends of the line to get a parallelogram by joining both the triangles.
(ii) Draw a line of length 6 cm and follow the above method.
(iii) Draw a line of length 5 cm and follow the above method.

Question 7.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 37
O is the centre of circle and AC, BD are diameters in the figure. Prove that AB = CD
Solution:
Consider ∆ODC and ∆OAB.
OD = OC = OA = OB (radi ∠AOB = ∠DOC; Two triangles are equal So the third sides of the triangles AB and CD are equal.)

Question 8.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 38
ABCD in the figure is a parallelogram. P, Q, R and S are the mid points of the sides of the parallelogram. The prove that PQ = RS, and QR = PS.
Solution:
Consider the triangles ∆APS and ∆CRQ
AP = CR, (half of the equal lines AB and CD)
AS = CQ (half of the lines with equal lengths AD and BC.)
∠A = ∠C (opposite angles of the parallelogram are equal)
When two sides and the angle made by them, in a triangle are equal then the third sides are also equal.
∴ QR = PS
Similarly if ∆ DSR and ∆ BQP are considered, PQ = RS is obtained.

Question 9.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 39
P is the midpoint of the sides AB and DF in the figure.
(a) Prove that BD = AF
(b) Is EF parallel to BC? Why?
(c) If D is the midpoint of BC, A is the midpoint of EF and Q is the mid point of DE then can Q be the midpoint of AC? Why?
Solution:
(a) Consider ∆APF and ∆DBP
FP = DP and AP = PB
∠APF = ∠DPB. The sides and the angle made by them in the triangles are equal. So the third sides BD and AF are equal.

(b) FP = PD. So the angles opposite to them are also equal.
∠FAP and ∠DBP are equal.
∴ FA||BD andBC|| EF.

(c) Consider BD = AF, in Question (a)
∴ BC = EF, Consider ∆ AEQ and ∆ DCQ
AE = DC, QE = DQ
∠AEQ = ∠CDQ
Two sides of a triangle and the angle made by them are equal. So the third sides are also equal, ie AQ = QC.
∴ So Q is the midpoint of AC

Question 10.
Draw a parallelogram if one of its diagonal is 8 cm length and one side is 6 cm. and the angle formed by the side and the diagonal is 40.
Solution:
Draw a diagonal of length 8 cm. Draw a line of 6 cm with 40 angle at its one end. Draw the same in its opposite direction.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 40

Question 11.
One angle of an isosceles triangle is 80. Find the other possible angles of the triangle.
Solution:
8o°, 8o°, 20°
8o°, 50°, 50°

Question 12.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 41
O is the centre of the circle in the diagram. Radiaus is 3 cm and ∠AOB = 60°. Find the perimeter of ∆ AOB?
Solution:
∆ OAB is an isosceles triangle.
∴ ∠A =∠B
∠O = 60
∴ ∠OAB is an equilateral triangle so perimeter = 3 + 3 + 3 = 9 cm.

Question 13.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 42
OM is perpendicular to AB in the diagram. Prove that M is the mid point of AB.
Solution:
OA = OB
∴ ∆ OAB is an isosceles triangle.
∴ ∠A = ∠B
When ∆ OMA and ∆ OMB are considered, OM is the common side
∠AMO = ∠BMO = 90 ∠AOM = ∠BOM
One side of the triangle and angles at the ends of sides are equal. So the other two sides are also equal.
∴ AM = MB
∴ M is the midpoint of AB.

Question 14.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 43
In the figure ∠ABC = ∠ADC and AB = AD. Prove that A BCD is an isosceles triangle?
Solution:
AB = AD
∴ ∆ ABD is an isosceles triangle.
∴ ∠ABD = ∠ADB
It is given that ∠ABC = ∠ADC
∴ ∠CBD = ∠CDB
∴ CD = CB
∴ ∆ BCD is an isosceles triangle.

Question 15.
In ∆ ABC, AB = AC = 10 cm. M is the midpoint of BC. If BC = 12 cm, Find AM? Also find the area of ∆ ABC?
Solution:
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 44

Question 16.
Show that, the triangle obtained by joining the mid points of the sides of an isosceles triangle is also an isosceles triangle.
Can we get an equilateral triangle by joining the mid points of the sides of an equilateral triangle?
Solution:
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 45
∆ ABC is an isosceles triangle. P, Q, R are the mid points of the sides of the triangle. Consider ∆ PBR and ∆ QRC.
PB = QC
BR = CR
∠B = ∠C
Two sides and the angle made by them are equal. The third sides PR and QR also equal.
∴ ∆ PQR is an isosceles triangle. Similarly the triangle obtained by joining the mid points of the sides of an equilateral triangle is an equilateral triangle.

Question 17.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 46
In the figure ∠B = ∠C = 90. If AB = CE and BE = CD, then find angles of ∆AED?
Solution:
If ∆ ABE and ∆ ECD are considered, AB = EC, BF = DC and ∠B = ∠C. Two sides of the triangle and the angle made by them are equal. The third sides AE and DE are also equal. ∆ADE is an isosceles triangle.
∆BAE = ∆DEC
∠BEA = ∠EDC (Angles opposite to the equal sides are also equal)
∠BAE + ∠BEA = 90
∴ ∠BEA + ∠+ BEA = 90
∴ ∠AED = 90°
∴ ∆AED is an isosceles triangle.
∴ ∠EAD = ∠EDA = 45°

Question 18.
Construct the following triangles by using only scale and compass.
(a) In ∆ ABC, AB = 6 cm, ∠A = 45°, ∠B = 75°
(b) In ∆ PQR, PQ = 7 cm,
∠P = 52\( \frac{1}{2}\)° , ∠ Q = 82\( \frac{1}{2}\)° 2
Solution:
(a) Draw AB = 6 cm
Draw AP making angle 45° with AB.
Draw BQ making angle 75° with AB.
Let AP and BQ intersect at C.
∴ ABC is the required triangle.
Kerala Syllabus 8th Standard Maths Solutions Part 1 Chapter 1 Equal Triangles 47

Plus One Accountancy Chapter Wise Questions and Answers Chapter 3 Recording of Transactions – I & Recording of Transactions – II

Students can Download Chapter 3 Recording of Transactions – I & Recording of Transactions – II Questions and Answers, Plus One Accountancy Chapter Wise Questions and Answers helps you to revise the complete Kerala State Syllabus and score more marks in your examinations.

Kerala Plus One Accountancy Chapter Wise Questions and Answers Chapter 3 Recording of Transactions – I & Recording of Transactions – II

Plus One Accountancy Recording of Transactions – I & Recording of Transactions – II One Mark Questions and Answers

Plus One Accountancy Chapter 3 Questions And Answers Question 1.
The source documents provide information about the nature of ……………. involved in it.
(a) Transactions
(b) Accounts
(c) Journal
Answer:
(a) Transactions.

Plus One Accountancy Chapter 3 Question 2.
Which of the following equation is correct ?
a. Assets = Equities
b. Assets = Capital + Liabilities
c. Assets + Expenses = Liabilities + Capital + Income
d. Capital = A – L
(i) a & b
(ii) a, b & c
(iii) a, b, c & d
(iv) d only
Answer:
(iii) All the above four

Plus One Accountancy Chapter 3 Notes Question 3.
Journal is the book of ……………
(a) Original entry
(b) Secondary entry
(c) Only cash transaction
Answer:
(a) Original entry.

Books Of Prime Entry Questions And Answers Pdf Question 4.
An ……………. is a formal record of all transactions relating to change in a particular item,
(a) Account
(b) Ledger
(c) Journal
Answer:
(a) Account.

Plus One Accountancy Chapter Wise Questions And Answers Pdf Question 5.
If a firm borrows a sum of money, there will be
(a) Increase in Capital
(b) Decrease in Capital
(c) No effect on Capital
Answer:
(c) No effect on capital

Plus One Accountancy Textbook Questions And Answers Question 6.
The Purchase day book contains
(a) All Purchases
(b) Cash Purchases
(c) Credit Purchases
Answer:
(c) Credit Purchases

Transaction Textbook Answers Question 7.
Double column cash book records:-
(a) All transactions
(b) Cash and bank transaction
(c) Only cash transaction
(d) Only Credit transaction
Answer:
(b) Cash and bank transaction.

Plus One Accountancy Chapter 1 Question 8.
Goods purchased on cash are recorded in the
(a) Purchase book
(b) Sales book
(c) Cashbook
Answer:
(c) Cashbook

Books Of Original Entry Questions And Answers Pdf Question 9.
Cashbook does not record transactions of –
(a) Cash nature.
(b) Credit nature.
(c) Cash and credit nature.
Answer:
(b) Credit nature.

Plus One Accountancy Chapter Wise Questions And Answers Question 10.
Balancing of account means:
(a) Total of debit side
(b) Total of credit side
(c) Difference in total of debit and credit
(d) None of these
Answer:
(c) The difference in total debit and credit

Accounting Transactions Exercises With Answers Question 11.
In sales daybook, all ………… sales of goods are recorded.
Answer:
Credit Sales.

Plus One Accountancy Textbook Answers Question 12.
The petty cashier generally works on ……… system.
Answer:
Imprest system.

Plus One Accountancy Chapter 2 Question 13.
The cash book serves the dual purposes of …………..
Answer:
a journal and a ledger.

Journal Entries Questions And Answers Question 14.
When a transaction is recorded on both sides of the cash book but in different columns, such entry is called ……….
Answer:
Contra Entry.

Plus One Accountancy Important Questions Question 15.
The source document of purchase return is ………….
Answer:
Debit Note.

Journal And Ledger Class 11 Questions Question 16.
Cashbook is a …………. journal.
Answer:
Subsidiary.

Question 17.
Return of goods purchased on credit to the suppliers will be entered in …………. journal.
Answer:
Purchase Return/ Return outward book.

Question 18.
Assets are sold on credit are recorded in ……………….
Answer:
Journal Proper.

Question 19.
Credit balance shown by a bank column in cash book is ………..
Answer:
Overdraft.

Question 20.
A book maintained to record transactions, which do not find place in special journal, is known as …………..
Answer:
Journal proper/ Journal Residual.

Question 21.
………………… records the page number of the original book of entry on which relevant transaction is recorded.
Answer:
Journal Folio.

Question 22.
Purchased office stationery for Rs. 10,000. The account to be credited is ……….
Answer:
Cash.

Question 23.
The book in which all accounts are maintained is known as ……….
Answer:
Ledger.

Question 24.
Trade discount is allowed by …………….
Answer:
Manufacturer.

Question 25.
…………….. is process of transferring entries from book of original entry to the ledger.
Answer:
Posting.

Question 26
Cash discount is allowed by …………
Answer:
Creditor.

Complete the following on the basis of hints given:

Question 27.
Invoice – Source document of purchases
_____ – Source of sales return
Answer:
Credit Note

Question 28.
Bank Balance – Debit balance in cash book
__________ – Debit balance in pass book
Answer:
Bank overdraft

Question 29.
Pay-in-slip – Used for depositing cash in bank – account
________ – Used for withdrawing money from bank account
Answer:
Cheque

Find the Odd one and State reason.

Question 30.
Sales Return, Return inward, Credit Note, Debit Note
Answer:
Debit Note, it is related to purchase return but all others are related to sales return.

Question 31.
Journal, Ledger, Purchase Bill, Cash Book
Answer:
Purchase Bill.

Question 32.
…………. discount is allowed by the wholesalers to retailers for bulk purchase.
Answer:
Trade discount.

Question 33.
The process of balancing .of an account involves equalisation of both sides of the account. If the debit side of an account exceeds the credit side, the difference is put on the credit side. The said balance is
(a) A credit balance
(b) A debit balance
(c) None of the above
Answer:
(b) debit balance.

Question 34.
Find out the missing one on the basis of hint given Salary, Electricity Charges, Rent, Telephone Charges = ……..
Answer:
Indirect Expenses

Question 35.
What does the following entry mean?
Drawings A/c Dr 5,000
To Office furniture A/c 5,000
Answer:
The entry stands for withdrawn furniture for personal use of the owner.

Plus One Accountancy Recording of Transactions – I & Recording of Transactions – II Two Mark Questions and Answers

Question 1.
Explain the meaning of Double Entry Book-keeping?
Answer:
The recording of the debit aspect and the credit aspect of a transaction in the books of accounts is called double-entry bookkeeping. In this system, every transaction affects at least two accounts or each and every transaction has at least two aspects – a receiving aspect and a giving aspect.

Question 2.
What is a source documents?
Answer:
A voucher or source document is a written document to be used in support of entry made in the accounts. They provide information about the transaction involved and help in verifying the correctness of books of accounts. For example the receipts, bills, cash memos, invoices, salaries bill, wage bills, counterfoils of cheques, registration deeds, etc.

Question 3.
Indicate whether the following accounts will have ‘debit’ or ‘credit’ balances.

  1. outstanding salaries
  2. Return outwards
  3. Sales returns
  4. Carriage inward
  5. Bad debts recovered
  6. Depreciation
  7. Drawings

Answer:

  1. Outstanding salaries – Credit
  2. Return outwards – Credit
  3. Sales Returns – Debit
  4. Carriage inward – Debit
  5. Bad debts recovered – Credit
  6. Depreciation – Debit
  7. Drawings – Debit

Question 4.
X Co. Ltd supplied furniture to Mr. Ravi (a trader) on credit. At the time of examining the qualities of the furniture by Mr. Ravi, it was not as per the specification and he returns them to the X Co. Ltd.

  1. Can you suggest which book shall Mr. Ravi records the return of goods?
  2. Specify the source document.

Answer:

  1. Purchase Returns Book/ Purchase Returns Journal
  2. Debit Note

Question 5.
Pass Journal entry in the books of Saleem Stores during the month of April 2007.

  • Commenced business with cash Rs. 6,000/-
  • Furniture Rs. 40,000/- and building Rs. 70,000/-

Answer:

  • Cash A/c Dr 6,000
  • Furniture A/c Dr 40,000
  • Building A/cDr 70,000
  • To Capital A/c

[Being Commenced business with cash, furniture, and building]

Question 6.
A cash A/c will never show a credit balance. Why?
Answer:
As a person cannot spend more than his receipts, the receipt side or the debit side of the cash book will always be more than or equal to the credit side. But, it will never be less than the credit side. Hence a cash book always shows a debit balance or nil balance but never credit balance.

Question 7.
Mr. Amal intends to start a computer software unit. He purchased a building for Rs. 3,00,000, for which a sum of Rs. 2,00,000 has been raised by availing a bank loan, and Rs. 75000 has been raised from his friend, Biju Mathew. Show this transaction by developing an accounting equation.
Answer:
Assets = Liabilities + Capital
Plus One Accountancy Chapter 3 Questions And Answers

Question 8.
List out the essential particulars to be contained in a sales bill.
Answer:

  1. Name and address of the firm.
  2. Date, Amount, Description of goods.
  3. Quantity, Signature, Seal, Bill no.
  4. Name of the Customer.

Question 9.
‘CH’ Ltd makes a purchases of Electrical goods from Arya electronics on credit. Being the goods despatched by Arya electronics is not as per specifications, CH Ltd returns them to the supplier.

  1. Can you suggest in which book shall CH Ltd. record the return of goods?
  2. Specify the source document.

Answer:

  1. Purchase return book or return outward book
  2. Debit Note

Question 10.
“Cash Book is both a journal and a ledger” Elucidate the statement.
Answer:
Cashbook is basically a journal because all entries relating to cash are first made in the cash book. But in the meantime, it serves the purpose of a ledger since it is drawn in the form of an account.

Question 11.
State any two transactions that increase and decrease capital.
Answer:

  1. Capital increases by net profit and fresh capital introduced.
  2. Capital decreases by drawings and net loss.

Question 12
State the three fundamental steps in the accounting process.
Answer:
The three fundamental steps in accounting are. ..

  1. Identifying financial transactions.
  2. Recording business transactions.
  3. Classifying business transactions.

Question 13.
What is contra entry? Write contra entry transactions.
Answer:
When a transaction is recorded on both sides of the cash book but in different columns, such entry is called contra entry.
eg:

  1. Cash deposited in bank.
  2. Withdrawn from bank for office use.

Plus One Accountancy Recording of Transactions – I & Recording of Transactions – II Three Mark Questions and Answers

Question 1.
With the following details write up the capital account of Mr. X.

  1. Opening balance Rs. 87,000
  2. Drawings Rs. 6,000
  3. Net Profit Rs. 9,000
  4. Interest on capital Rs. 8700
  5. Interest on drawings Rs. 300

Answer:
Capital A/c of Mr.X
Plus One Accountancy Chapter 3

Question 2.
State the rules of debit and credit for all types of accounts.
Answer:
The term ‘debit’ is supposed to have derived from ‘debt’ and the term ‘credit’ from ‘creditable’. For convenience ‘Dr1 is used for debit and ‘Cr’ is used for credit. The effects of rules of debit and credit on various types of accounts are given as follows:

  1. Increase in asset is debit and decrease in asset is credit.
  2. Increase in liability is credit and decrease in liability is debit.
  3. Increase in capital is credit and decrease in capital debit.
  4. Increase in expenses is debit and decrease in expense is credit.
  5. Increase in revenue is credit and decrease in revenue is debit.

Question 3.
With the help of the given cash book identify the transactions of Sourya stores.
Plus One Accountancy Chapter 3 Notes
Answer:

  1. Started business with cash Rs. 1,00,000
  2. Sold goods for cash Rs. 10,000
  3. Purchased goods for cash Rs. 25,000
  4. Cash deposited into bank Rs. 50,000
  5. Rent paid Rs. 2,000

Question 4.
Enter the following transactions in simple cash book for November 2014.
Books Of Prime Entry Questions And Answers Pdf
Answer:
Plus One Accountancy Chapter Wise Questions And Answers Pdf

Question5.
Give journal entries for the following transactions

  1. Ram started business with cash Rs. 80,000/- Building Rs. 1,50,000/-Machinery Rs. 1,20,000/ – and stock of goods Rs. 50,000/-
  2. He purchased goods for Rs. 70,000 of which he paid Rs. 50,000 in cash and balance on credit from Mohan.

Answer:
Plus One Accountancy Textbook Questions And Answers

Question 6.
From the following, prepare the purchase return book of Madhamohan Readymade Garments.

  • 10/4/09 – Returned to Decent & Co- 4 Shirts @ Rs. 54 per Shirt.
  • 15/4/09 – Returned to Kurian & Sons – 2 Shirts @ Rs. 30 per Piece
  • 17/4/09 – Returned to Sapna Garments – 1 Churidar @ Rs. 100 per Piece.

Answer:
Plus One Accountancy Chapter Wise Questions and Answers Chapter 3 Recording of Transactions – I & Recording of Transactions – II 7

Question 7.
From the following prepare sales day book of Harihar Furniture Co.

  • 1/10/08 – Sold on credit to Tendulkar – 4 tables @ Rs. 2000 and 20 chairs @ Rs. 300
  • 10/10/08 – Sold to Ganguly -10 tables@ Rs. 1000 and 3 chairs @ 900,Trade discount 10%.
  • 12/10/08 – Sold to sreenath, 2 tables @ Rs. 1000.

Answer:
Plus One Accountancy Chapter Wise Questions and Answers Chapter 3 Recording of Transactions – I & Recording of Transactions – II 8

Question 8.
Enter the following transactions in Sales Return Day Book of Cochin furniture.

  • 4/10/09 – Mahesh & Co. returned 3 chairs @ 300
  • 15/10/09 – Raveendran Traders returned 2 tables @ Rs. 3600
  • 16/10/09 – Jayanath Agencies returned 2 chairs @ Rs. 200

Answer:
Plus One Accountancy Chapter Wise Questions and Answers Chapter 3 Recording of Transactions – I & Recording of Transactions – II 9

Question 9.
List out the appropriate source documents for recording the following transactions.

  1. Purchased goods
  2. Rent paid
  3. Electricity charges paid
  4. Salary paid
  5. Repair charges paid
  6. Water charges paid

Answer:

  1. Invoice/Bill
  2. Receipt from house owner
  3. Receipt from KSEB
  4. Payroll
  5. Payment Voucher
  6. Receipt from water authority.

Plus One Accountancy Recording of Transactions – I & Recording of Transactions – II Four Mark Questions and Answers

Question 1
Explain the terms:

  1. Journal
  2. Narration
  3. Account
  4. Ledger

Answer:
1. Journal:
Journal is the prime book in which transactions are entered first time from a source document. In other words, it is the book used for making primary record of day-to-day transactions chronologically. Recording of transactions in the journal is known as “Journalizing” and the recorded transactions are called journal entries. It is also called “Book of Original Entry or Book of Prime Entry”. A specimen form of a journal is given below.
Plus One Accountancy Chapter Wise Questions and Answers Chapter 3 Recording of Transactions – I & Recording of Transactions – II 10
2. Narration:
After entering each transaction in the journal, a brief explanation is provided below. This is called narration.

3. Account:
An account is a classified summary of transaction relating to a change in a particular item during a particular period.

4. Ledger:
A ledger is a collection of all accounts debited or credited in journals. The ledger is a book of second entry or final entry because transactions first entered in journal are finally incorporated in the ledger. It is also called “the Main or the Principal Book of Account of a business. The process of transferring journal entries into ledger is called “posting”.

Question 2.
What are the difference between books of original entry or journal and ledger?
Answer:

Journal

Ledger

1. Book of primary or initial entry1. Book of secondary entry
2. Transactions are entered in the order of their occurrence.2. Entries are recorded in an analytical order
3. The process of entering transactions is called journalizing.3. The process of recording is called posting.
4. Balancing is not done in the books of original entry.4. All ledger accounts are balanced

Question 3.
What do you understand by petty cash book?
Answer:
The book maintained by the petty cashier to record small payments of repetitive nature (petty payments) ie stationery, postage, carriage, traveling, etc are made by him during a particular period is called the “petty cash book”.

The petty cashier works under the supervision and control of the main cashier who advances a certain amount to the petty cashier in the beginning of a specific period. The petty cashier is permitted to make payments only below a particular limit.

Question 4.
Give an example of a business transaction that causes one asset to increase and another asset to decrease, with no effect on either liabilities or capital.
Answer:
Purchased Machinery for cash Rs. 10,000 or any other similar transaction. Here Machinery increases and cash decreases. Therefore no change happens on the total value of assets.

Plus One Accountancy Recording of Transactions – I & Recording of Transactions – II Five Mark Questions and Answers

Question 1.
Prove that the accounting equations is satisfied in all the following transaction of Chikku.

  1. Commenced business with cash Rs. 20,000/-
  2. Goods purchased for cash Rs. 8,000/-
  3. Bought furniture Rs. 3,000/-
  4. Purchased goods on credit Rs. 7,000/-
  5. Cash paid to creditors Rs. 4,000/-
  6. Paid salary Rs. 500
  7. Received commission Rs. 300
  8. Withdraw for personal purpose Rs. 400.

Answer:
Plus One Accountancy Chapter Wise Questions and Answers Chapter 3 Recording of Transactions – I & Recording of Transactions – II 11

Question 2.
Record the following transactions in the purchase Journal of Suraj Agencies.

  • 1/June/2008 -Purchased from sreeman Electronics 30 Philips Tube lights @ Rs. 100 10 Khaitan Ceiling Fans @ Rs. 800
  • 4/June/2008 -Purchased from Sam & Sons 20 electric heaters @ Rs. 21 5 electric irons @ 240.
  • 15/June/2008 – Purchased from Quilon Radio Services. 10 table fans @ Rs. 1200. 20 electric kettles @ 90. Less Trade discount @ 10%
  • 16/June/2008 – Purchased from Bajaj Agency 50 Tii.be lights @ Rs. 140. Less Trade discount @ 5%.

Answer:
Plus One Accountancy Chapter Wise Questions and Answers Chapter 3 Recording of Transactions – I & Recording of Transactions – II 12

Question 3.
What is a special (subsidiary) Journal? Name the important special journals.
Answer:
The journals in which transactions of similar nature only are recorded may be termed as special journals or daybooks. The division of original entry into different Daybook is called the subdivision of the journal. The important special journals are:

  1. Cash Book – for recording all cash transactions.
  2. Purchases Day Book – for recording all the credit purchases of goods.
  3. Sales Day Book – for recording all the credit sale of goods.
  4. Purchase Return Book – for recording goods returned to suppliers.
  5. Sales Return Book – for recording goods returned by customers.
  6. Bill Receivable Book – for recording bill received from customers.
  7. Bill Payable Book – for recording bills given to suppliers.
  8. Journal Proper – If specialised journals are kept the journal is used only for recording those transactions that cannot be recorded in other journals. In this case the journal is known as Journal Proper or General Journal.

Question 4.
What is journal proper? Write the transactions recorded in journal proper.
Answer:
A book maintained to record transactions which do not find place in special journal is known as journal proper or journal residual.
Transactions recorded in journal proper are as follows:

  1. Opening and closing entry.
  2. Adjustment entry.
  3. Rectification entries.
  4. Transfer entries.
  5. Sale or purchase of assets on credit.
  6. Entries for endorsement and dishonor of bills of exchange.
  7. Goods are withdrawn for personal use.

Question 5.
1. Remesh owes Kumar Rs. 5,000. He makes payments of the amount before the due date and Kumar allow him a discount of Rs. 500.
2. Narendran sold to Ravi goods of the catalog price of Rs. 50,000 at a trade discount of 10%. Pass Journal entries in the two cases.
Answer:
Plus One Accountancy Chapter Wise Questions and Answers Chapter 3 Recording of Transactions – I & Recording of Transactions – II 13
Plus One Accountancy Chapter Wise Questions and Answers Chapter 3 Recording of Transactions – I & Recording of Transactions – II 14

Question 6.
What do you understand by petty cash book? Write the advantages of petty cash book.
Answer:
The book maintained by the petty cashier to record small payments of repetitive nature (petty payments) ie stationery, postage, carriage, traveling, etc are made by him during a particular period is called the “petty cash book”.

The petty cashier works under the supervision and control of the main cashier who advances a certain amount to the petty cashier in the beginning of a specific period. The petty cashier is permitted to make payments only below a particular limit.

Advantages of maintaining petty cash book:

  1. Saving of time and effort of chief cashier. He can concentrate on cash transactions involving large amounts of cash.
  2. Effective control over cash disbursement. Cash control becomes easy because of division of work.
  3. Convenient recording.

Plus One Accountancy Recording of Transactions – I & Recording of Transactions – II Six Mark Questions and Answers

Question 1.
Prepare necessary subsidiary books from the following transactions
Plus One Accountancy Chapter Wise Questions and Answers Chapter 3 Recording of Transactions – I & Recording of Transactions – II 15
Plus One Accountancy Chapter Wise Questions and Answers Chapter 3 Recording of Transactions – I & Recording of Transactions – II 16
Answer:
Plus One Accountancy Chapter Wise Questions and Answers Chapter 3 Recording of Transactions – I & Recording of Transactions – II 17

Question 2.
Plus One Accountancy Chapter Wise Questions and Answers Chapter 3 Recording of Transactions – I & Recording of Transactions – II 18
Answer:
Plus One Accountancy Chapter Wise Questions and Answers Chapter 3 Recording of Transactions – I & Recording of Transactions – II 19

Question 3.
Record the following transactions in a Double column Cash Book.

  • 1/5/09 – Opening balance of cash Rs. 2,800 1/5/09 – Opening balance of bank Rs. 3,500 3/5/09 – Rent paid by cheque Rs. 1,700 5/5/09 – Cash sales Rs. 4,500 7/5/09 – Purchases made Rs. 2,900.
  • 9/5/09 – Deposited into bank Rs. 2,500.
  • 13/5/09 – Received from Kamal Rs. 4,800.
  • 18/5/09 – Paid to Saleem Rs, 1,300.
  • 20/5/09 – Withdrawal from bank Rs. 1,800.
  • 27/5/09 – Paid for purchase of machine tools Rs. 2,800.
  • 30/5/09 – Deposited into bank Rs. 2,700.
  • 31/5/09 – Salary paid by cheque Rs. 1,800.

Answer:
Plus One Accountancy Chapter Wise Questions and Answers Chapter 3 Recording of Transactions – I & Recording of Transactions – II 20

Plus One Accountancy Recording of Transactions – I & Recording of Transactions – II Eight Mark Questions and Answers

Question 1.
Journalise the following transactions:- 2008 April

  1. Started business with cash – 30,000
  2. Opened Bank Account – 12,000
  3. Purchased Furniture – 2,000
  4. Purchased goods – 10,000
  5. Withdrawn from bank for office – 6000
  6. Goods sold for cash – 8,000
  7. Cash purchases from John – 5,000
  8. Cash sales to Rajan – 4,000
  9. Cash withdrawn for personal use – 500
  10. Withdrew from bank for personal use 1000
  11. Goods withdrawn for personal use 3000
  12. Goods purchased on credit from Jagan 3000
  13. Goods sold to Dinesh on credit 4000
  14. Cheques issued to Jagan 4000
  15. Goods returned to Jagan 1500
  16. Goods returned by Dinesh 2000
  17. Received commission 200
  18. Paid to Alex Rs. 2000, Discount allowed by him Rs.200
  19. Received from Bonoy Rs.4000, allowed him a discount Rs. 300.

Answer:
Plus One Accountancy Chapter Wise Questions and Answers Chapter 3 Recording of Transactions – I & Recording of Transactions – II 21
Plus One Accountancy Chapter Wise Questions and Answers Chapter 3 Recording of Transactions – I & Recording of Transactions – II 22

Question 2.
Prepare a cash book with cash and bank column from the following transactions.
Plus One Accountancy Chapter Wise Questions and Answers Chapter 3 Recording of Transactions – I & Recording of Transactions – II 23
Plus One Accountancy Chapter Wise Questions and Answers Chapter 3 Recording of Transactions – I & Recording of Transactions – II 24
Answer:
Plus One Accountancy Chapter Wise Questions and Answers Chapter 3 Recording of Transactions – I & Recording of Transactions – II 25