MBOSE Class 11 Question Paper 2022 for Physics

Total No. of Printed Pages ––10 (2)
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(iii) Boltzmann constant, kB= 1.381 x 10–23 J K–1
2022
(iv) Avogadro’s Number, N  6.023  10 23 mole–1
PHYSICS
( Theory )

Full Marks : 70 SECTION – A – I

Time : 3 hours ( Multiple choice questions )

The figures in the margin indicate full marks for the questions
1. The electric force between two protons is about 1
General Instructions :
(a) 1028 times gravitational force

(a) 15 minutes time has been allotted to read this question (b) 1036 times gravitational force
paper. The question paper will be distributed exactly
15 minutes before the commencement of the (c) 1018 times gravitational force
examination.
(d) 1020 times gravitational force

(b) All questions are compulsory.

2. The percentage error in the measurement of radius
(c) This question paper has five sections. of a sphere is 2%. Then the percentage error in the
measurement of volume is 1
(d) There is no overall choice. However, an internal choice
(a) 1%
has been provided in some questions.
(b) 6%
(e) Useful Data: (c) 4%
(i) Acceleration due to gravity, g = 9.8 ms 2 (d) 8%
(ii) Radius of the earth, Re = 6400 km

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(3) (4)

3. The dimension of ab in the relation 1 SECTION – A–II
b  x2  ( Very short answer type questions )
E    is
 at 
(a) [M 1L2 T] 6. A body covers a distance L m along a semicircular
(b) [M2LT2 ] path. What is the magnitude of displacement of the
body? 1
(c) [MoLT 2 ]

(d) [M oL2 T 2 ]
where E is energy, x is distance and t is time
7. Show that vectors 1
A  2iˆ  3 ˆj  4kˆ and
4. The instantaneous angular position of a point on a
rotating wheel is given by 1 B  6iˆ  9 ˆj  12kˆ are parallel to each other.
 (t )  2t 3  6t 2
The torque on the wheel will become zero at
(a) t = 1s 8. A cricket player has to lower his hands while catching
(b) t = 0.5s a ball. Why? 1
(c) t = 0.25s
(d) t = 2s
9. What provides the centripetal force to a satellite
revolving around the earth? 1
5. The linear momentum is increased by 50%, then
kinetic energy will be increased by 1
(a) 50%
(b) 100% 10. What is geostationary satellite? 1
(c) 125%
(d) 25%

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(5) (6)

SECTION – B 17. A harmonic oscillation is represented by: 2

( Short answer type questions ) y = 0.34 cos(3000t + 0.74), where y and t are in m and
s respectively.
Find (i) Amplitude
11. Derive an expression for kinetic energy of a mass m,
(ii) Angular Frequency
moving with velocity v. 2
(iii) Period
(iv) Initial Phase
12. Obtain the relation between torque and angular
momentum. 2

SECTION –– C
13. If the period of revolution of Neptune is 165 earth year, ( Short answer type – 3 marks )
what is its orbital radius? 2

18. Derive the relation (graphically):- 3
1
14. Prove that elastic energy density is  (strees)  (strain). 2 1 2
2 S  ut at
2
where symbols have usual meanings.
15. Define specific heats of a gas and show that the
difference between them is constant. 2
19. Either
A block slides down an incline of 30 o with an
16. Either
acceleration g . Find the co-efficient of kinetic friction. 3
What is degrees of freedom? Discuss degress of freedom 4
of a molecule of diatomic gas. 2 Or

Or A horizontal force of 1.2 kg wt is applied to a 1.5 kg
block, which rests on a horizontal surface. If the
Define specific heat. Why do gases have two specific co-efficient of friction is 0.3, find the acceleration
heats? produced in the block. 3

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(7) (8)

20. A ball rolls down the top of a stairway with a horizontal 26. Either
velocity of 1.8 m/s. The steps are 0.2 m high and 0.2 m Define co-efficient of thermal conductivity and explain
wide. Which step will the ball hit first? 3 the formula used. 3
Or
State and explain Newton’s Law of cooling.
21. What are elastic and inelastic collisions? Show that
for an elastic collision in one dimension, the relative SECTION –– D
velocity of approach before collision is equal to relative
velocity of separation after collision. ( Value based question ) (4 marks)
3
27. The world is full of waves, the two main types of waves
are:
22. Discuss the effect of depth on the value of ‘g’. Also (i) mechanical wave
draw a graph showing the variation of ‘g’ with distance
from the centre of the earth. (ii) electromagnetic wave
3
(a) Give two examples of mechanical waves. 1
(b) Give two examples of electromagnetic waves. 1
23. Define surface tension. Derive a relation between (c) What in reality is a wave? 1
surface tension and surface energy. 1+2=3
(d) How do you connect life to a wave? 1

SECTION –– E
24. Derive an expression for excess pressure inside a soap
bubble. 3 ( Long answer type )

28. Either
25. What should be the average velocity of water in a tube Prove that the path of a projectile projected at an angle
of radius 0.005m so that the flow is just turbulent?  with the vertical is a parabola. Show that the range
The viscosity of water is 0.001 Pa-s. 3 of a projectile for two angles of projection  and  is
the same, where     90 o . 3+2=5
Or
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(9) ( 10 )

(i) State and explain parallelogram law of vectors. (b) A body of mass 0.1 kg is executing SHM of
amplitude 1m and period 0.2s. What is the
(ii) The resultant of two vectors A and B is maximum value of force acting on it. 2
perpendicular to A . The resultant has magnitude
B . Find the angle between the vectors. Or
2 3+2=5
(a) Discuss Newton’s formula for the speed of sound
waves in a medium. What correction was applied
by Laplace and why? 3
29. Either (b) Discuss the various modes of vibration of an air
column in an open organ pipe. 2
(a) Define isothermal change. Calculate the amount
of work done when a perfect gas expands
isothermally. 3

(b) Calculate the difference in temperature of water
at the top and bottom of a waterfall of height 420m. 2

Or

(a) Derive an expression for the pressure exerted by
a perfect gas on the basis of kinetic theory. 3

(b) Calculate the rms velocity of CO2 molecules at
NTP. 2

30. Either

(a) Show that for small oscillation, the motion of a
simple pendulum is simple harmonic. 3

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