PHYSICS MCQS FOR IIT JEE NEET IAS SAT MAT Multiple Choice Questions Answers Fully Solved IITJEE main advanced Trust Education

UNIFORM MOTION MULTIPLES
UNIFORM MOTION
1. A particle starts from rest and moves with constant
acceleration a. what is the nature of the graph between
the time (t) and the displacement.
(a) straight line
(b) instant velocity
(c) average speed
(d) average velocity
2. A particle starts with velocity u and moves with constant
acceleration a .what is the nature of the graph between
the time (t) and the displacement (x).
(a) straight line
(b) symmetric parabola

© Asymmetric parabola
(d) Rectangular hyperbola.
3. For motion on a curved path with constant acceleration
[magnitude of displacement /distance covered
(a) >1
(b) ≥ 1
(c) ≤ 1
(d) <1
4. A particle moving with uniform speed can possess :
(a) radial acceleration
(b) tangential acceleration
© both radial and tangential accelerations
(d) neither radial nor tangential acceleration

5. A car accelerates from rest for time t1 at constant rate a1
and then it retards at the constant rate a2 for time t2 and
comes to rest. t1/t2 =
(a) a1/a2
(b) a2/a1
(c) a12/a22
(d) a22/a12
6. What is the angle between instantaneous displacement
and acceleration during the retarded motion
(a) Zero
(b) π/4
(c) π/2.
(d) π.

7. the velocity graph of a motion starting from rest with
uniform acceleration is a straight line:
(a) Parallel to time –axis.
(b) parallel to velocity axis
© not passing through origin
(d) having none of the above characteristics.
8. The slope of the velocity time graph for retarded
motion is:
(a) Positive
(b) negative
(c) zero
(d) can be +ve, -ve or zero.
9. Which of the following can be zero when the particle is
in motion for some time ?

(a) Displacement
(b) Distance covered
© speed
(d) none of the above
10. Which of the following statement is false for motion with
uniform velocity
(a) The motion is along a straight line path.
(b) The motion is always in the same direction
© Magnitude of displacement < distance covered
(d) Average velocity is equal to the instantaneous
velocity.
11. A particle is moving on a straight line path with constant
acceleration directed along the direction of

instantaneous velocity. Which of the following
statements about the motion of particle is true.
(a) Particle may reverse the direction of motion.
(b) distance covered = magnitude of displacement
(c) average velocity is less than average speed
(d) average velocity = instantaneous velocity.
12. if the displacement of a particle is zero, then what can
we say about its distance covered ?
(a) it must be zero.
(b) it cannot be zero.
© it is negative
(d) it may or may not be zero.

13. a particle moves with uniform velocity. Which o fthe
following statements about the motion of the particle is
true.
(a) its speed is zero.
(b) its acceleration is zero.
© its acceleration is opposite to the velocity.
(d) its speed may be variable
14. A car travels a distance S on a straight road in two hours
and then return to the starting point in the next here
hours. Its average velocity is :
(a) S/5
(b) 2S/5
(c) (S/2)+(S/3)
(d) none of the above.

15. A particle starts with initial velocity 10ms-1.. it covers a
distance of 20 m along a straight into two seconds.
What is the acceleration of the particle.
(a) zero
(b) 1 ms-2.
(c) 10ms-2
(d)20 ms-2.
16. A particle moves along a straight line path. After
sometime it comes to rest. The motion is with an
acceleration whose direction with respect to the
direction o velocity is
(a) positive throughout motion
(b) negative throughout motion
(c) first positive then negative

(d) first negative then positive
17. The time elapsed is plotted along X-axis and the
acceleration is plotted along the Y-axis. The area
between the graph and the X-axis gives.
(a) Average velocity
(b) distance covered
(c) differences in velocities
(d) difference in accelerations
18. The velocity ν and displacement r of a body are related
as : ν2 =kr where k is constant.
What will be the velocity after 1 second. Given that the
displacement is zero at t=0.
(a)√kr
(b) kr3/2.

(c) kr
(d) data is not sufficient
Numerical bank
19. The position of a particle moving on a straight line path
is given by
x = 12+18t+9t2 meter its velocity at t = 2 s is
(a) 84 ms-1.
(b) 72 ms-1.
(c) 54 ms-1.
(d) 36 ms-1.
20. The displacement of a particle is given by √x = t+1.
which of the following statements about its velocity is
true.
(a) it is zero.

(b) it is constant but not zero.
(c) it increases with time
(d) it decreases with time.
21. The acceleration a of a particle varies with time t as a =
bt +c . where b and c are constants. What will be the
velocity of the particle which starts from rest after the
time t.
(a) bt+(1/2)ct2.
(b) ct+(1/2)bt2.
(c) bt+ct2.
(d) ct+bt2.
22 The distance covered by a particle moving along a
straight line path with uniform acceleration is given by : x

= 6+6t+10t2. metre. What is the initial velocity of the
particle.
(a) 6 ms-1.
(b) 7 ms-1.
(c) 8 ms-1
. (d) 9 ms-1.
23 A particle starts from the rest & moving with constant
acceleration covers a distance x1 in the 3rd second x2 in
the 5th second. The ratio x1/x2 =
(a) 3/5
(b) 5/9
(c) 9/25
(d) 25/81

24. A particle moves along X-axis in such a way that its
coordinate X varies with the time t according to the
expressions x= (8 – 5t +8t2) meter. The initial velocity of
the particle is
(a) -5 m/s.
(b) 8 m/s.
(c) -8m/s.
(d) +16 m/s.
25. The initial velocity of a particle moving along a straight
line is 10 m/s and its retardation is 2 ms-2. the distance
moved by the particle in the fifth second of its motion is
:
(a) 1m.
(b) 19m.

(c) 50m
(d) 75 m.
26 A ball is dropped from the top of tower 100m high.
Simultaneously another ball is thrown upward with a
sped of 50 ms-1. after what time do they cross each
other.
(a) 1s
(b) 2s
(c) 3s
(d) 4s.
27 Two bodies are dropped from different heights h1 & h2.
The ratio of the times taken by them to reach the
ground will be
(a) h22 :h12.

(b) ) h1 :h2.
(c) ) √h1 : √h2.
28. A body is released from the top of a tower of height H
meter. After 2 seconds it is stopped and then
instantaneously released. What will be its height after
next 2 seconds.
(a) (H-5) meters.
(b) (H-10) meters.
(c) (H-20) meters.
(d) (H-40) meters.
29 The displacement of particle after time t is given by x =
(k/b2) (1-e-bt), where b and k are constants what is the
acceleration of the particle.

(A) ke-bt.
(b) -ke-bt.
(c) (k/b2)e-bt.
(d) (-k/b2)e-bt.
30 a particle starts from the rest and moves with a
constant acceleration a for time t and covers a distance
x1. it continues to move with the same acceleration and
covers a distance x2 in the next time interval t. which of
the following relations is correct.
(a) x2-x1.
(b) x2-2x1.
(c) x2-3x1.
(d) x2-4x1.

UNIFORM MOTION (NUMERICALS)
ASSIGNMENT
1. A body is dropped from the top of a tower and falls
freely. The distance covered by it after n seconds is
directly proportional to
(a) n2.
(b) n
(c) 2n-1
(d) 2n2-1
2. in the above question, the distance covered in the nth
second is proportional to
(a) n2.
(b) n

(c) 2n-1
(d) 2n2-1
3. in q. 1 the velocity of the body after n seconds is
proportional to
(a) n2.
(b) n
(c) 2n-1
(d) 2n2-1
4. A ball dropped from a height h reaches the ground in
time T. what is its height at time T/2.
(a) h/8
(b) h/4
(c) h/2
(d) 3h/4.

5. The distance time graph of a particle at time t makes an
angle 450 with the time axis. After one seconds it makes
an angle 600. with the tie axis. What is the acceleration
of the particle.
(a) √3-1
(b) √3+1
(c) √3`
(d) 1.
6. A car accelerates from rest at 5 ms-2 and then retards
to rest at 3m-2.the maximum velocity of the car is 30ms-2.
what is the distance covered by the car ?
(a) 150 m
(b) 240m
(c) 300 m

(d) 360 m.
7. The displacement time graph for the two particles A and
B are straight lines inclined at angles 300 and 600 with
the time axis. The ratio of the velocities VA :VB will be
(A) 1:2
(b) 1:√3
(c) √3:1
(d) 1:3
8 The velocity ‘u’ of the body moving along a straight line
with constant retardation ‘a’ reduces by 75% in time t.
what is the time taken in doing so ?
(A) u/4a
(b) 3u/4a
(c) 4u/3a

(d) u/3a.
9. The acceleration of the particle , starting from rest ,
varies with time according to the relation :
a = -Aω2 sin ωt.the displacement of this particle at a
time t will be
(a) –(1/2) (Aω2 sin ωt)t2.
(b) (Aω sin ωt).
(c) (Aω cos ωt)t.
(d) A sin ωt.
10. A particle is moving eastwards with a velocity of 5 m/s.
in 10 seconds the velocity changes to 5 m/s.
northwards. The average acceleration in this time is
(a) Zero
(b) 1 /√2 m/s2. towards north-west.

(c) 1/3 m/s2. towards north-west.
(d) 1√2 m/s2. towards north-east.
11 a car can be stopped over a distance x when its
momentum is ‘p’ . what will be the stopping distance
when the momentum is 2p.
(a) x
(b) 2x
(c)4x
(c) 8x.
12. The displacement x and time t are related as t =
px2+qx+r, when p,q,r, are constants. What is the relation
between velocity ν and the acceleration a ?
(a) a ∝ ν
(b) a ∝ ν2.

(c) a2 ∝ ν
(d) a2 ∝ ν2 .
13. The distance covered by a particle moving on a straight
line path at any instant is given by t =ax2 +bx.. if the
instantaneous velocity of the particle be ν. What is the
acceleration of the particle.
(a) 2a ν3.
(b) -2a ν3.
(c) 2a ν2.
(d) -2a ν2.
14. A particle moves so that the displacement x at time t is
given by x2 =1+t2.what is its acceleration.``
(a) 1/x
(b) t2/x3.

(c) 1/3 - t2/x3.
(d) t2/x3+ t2/x3.
15. A car starts from rest and moves with constant
acceleration . The ratio of the distance covered in the
nth second to that in n seconds is :
(a) 1/2n2 – 1/n
(b) 1/2n2 + 1/n
(c) 2/n – 1/n2.
(d) 2/n +1/n2.
16. The height y and the distance x along the horizontal
plane of a projectile on a certain planet are given by
y = (8t- 10t2) meter and x = 6t meter
where t is in seconds . the velocity with which the
projectile is projected , is :

(a) 8 m/s.
(b) 6 m/s.
(c) 10 m/s.
(d) not obtained from data
17. the position (x & y) co-ordinates of particle at the
instant t are √2l t and 2t-4t2. respectively. What is the
initial speed of the particle
(a) 0
(b) 3 m/s.
(c) 4 m/s.
(d) 5m/s.
18. A shell is fired from a cannon with a velocity V m/s at an
angle θ with the horizontal direction. At the highest point
in its path explodes into two pieces of equal mass . one

of the pieces retraces its path to the canon then the
speed of the other piece immediately after explosion is :
(a) 3V cosθ
(b) 2V cos θ
(c) 3/2 V cosθ
(d) √3/2 cos θ.
19. A train starts from the rest ad acquires with a speed ν
with uniform acceleration α. Then it comes to stop with
uniform retardation β. What will be the average velocity
of the train?
(a) αβ / (α+β)
(b) (α+β) / αβ
(c) ν/2
(d) ν

20. A rocket is fired vertically from the ground . it moves
upwards with constant acceleration 10ms-2 for 30
seconds after which the fuel is consumed. After what
time form the instant o firing the rocket will attain the
maximum height ? take g = 10 ms-2.
(a) 30 s
(b) 45s
(c) 60 s
(d) 75 s.
21. The displacement of a particle is given by √x = 2t what
is the nature of motion of the particle ?
(a) accelerated
(b) with uniform velocity
(c) retarded

(d) at rest
22. A car accelerates from the rest at constant rate for the
first 10 s and covers a distance y in the next 10 s at the
same acceleration. Which of the following is true.
(a) x =3y
(b) y =3x
(c) x =y
(d) y = 2x.
23. A person throws ball into the air one after another at an
interval of one second. The next ball is thrown when the
velocity of the ball thrown earlier is zero. To what height
the ball rise ? take g = 10 ms-2.
(a) 5m
(b) 10m

(c) 20 m
(d) 40 m.
24. A train accelerates from the rest at a constant rate α for
some times and then it retards to rest at the constant
rate β. If the total distance covered by the particle is x,
then what is the maximum velocity of the train .
(a) [{α+β) / 2αβ }x ]1/2.
(b) [{α-β) / 2αβ }x ]1/2.
(c) [{2αβ / (α+β) }x ]1/2.
(d) [{2αβ / (α-β) }x ]1/2.
25. A train accelerates from rest at a constant rate α for
distance x1 and time t1. after that it retards to rest at
constant rate β for distance x2 and time t2. which of the
following relation is correct?

(a) x1/x2 =α/β = t1/t2.
(b) x1/x2 =β/α = t1/t2.
© x1/x2 =α/β = t2/t1.
(d) x1/x2 =β/α = t2/t1.
26. A ball is dropped from the top of the tower of height h. it
covers a distance of h/2 in the last second of its motion
How long does the ball remain in air.
(a) √2s
(b) (2+√2) s
(c) 2s
(d) (2-√2) s.

GRAPHICAL BANK
27. the speed time graph of a particle is shown in the fig.
what is the distance traveled from t =5s to t =10s.
(a) 100m
(b) 50 m
(c) 25m.
(d)12.5 m
28. The velocity time graph of the two particle P1 & P2 are
shown in fig. the ratio of the distance covered by them
at any instant is : x2/x1 =
(a) 3
(b) √3
(c) 2
(d) √2

29. which of the following graph can not be the distance
graph.
.
30. Which of the following cannot be the speed time graph

(a)
(b)
(c)
(d)
31. Which of the following velocity graph is not possible

32. Which of the following displacement graph is not
possible.
33. Which of the following velocity time graph is possible.
(a) (b) (c) (
34. Which of the following speed graphs is not possible.

35. Figure shows the displacement time graph of a body.
What is the ratio of the speed in the first second that in
the next two seconds?
(a) 1:2
(b) 1:3
(c)3:1

KINETIC THEORY OF GASES MULTIPLES
KINETIC THEORY OF GASES
1 If N be the Avogadro’s number and R be the gas
constant, then Boltzmann constant is given by:
(A) RN
(B) R/N
(C) N/R
(D) 1/RN.
2. Brownian motion has played a convincing role in
establishing:
(A) Kinetic theory of gases.
(B) Mechanical equivalence of heat.
(C) Elastic nature of molecular collisions.
(D) None of the above.

3. Which of the following is NOT an assumption of kinetic
theory of gases
(A) All molecules of gas are identical.
(B) Gas molecules are like rigid body.
(C) All gases are perfect gases.
(D) Duration of molecular collision is negligible.
4. In kinetic theory of gases, it is assumed that molecular
collisions are:
(A) Inelastic.
(B) For negligible duration.
(C) One dimensional (head on)
(D) Unable to exert mutual force.
5. Brownian motion is due to

(A) Collisions of suspended particles with the liquid
molecules.
(B) Collisions of suspended particles. With each other.
(C) Intermolecular force.
(D) Some reason other than those mentioned above.
6. Which of the following is NOT the property of Brownian
motion ? The Brownian motion is
(A) Continuous
(B) random.
(C) Due to molecular collision with the walls
(D) regular
7. A cylinder contains 2 kg of air at a pressure 105 Pa. if 2
kg more air is pumped into it. Keeping the temperature
constant, the pressure will be:

(A) 105 Pa
(B) 2 x 105 Pa.
(C) 0.5 x 105 Pa
(D) 1010 Pa
8. The kinetic theory of molecular motion appears as:
(A) Potential energy
(B) heat.
(C) Temperature
(D) none of the above
9. ‘P’ is the pressure and ‘d’ is the density of gas at
constant temperature, then [
(A) P ∝ d
(B) P ∝ 1/d
(C) P ∝ √d

(D) P ∝ 1/√d
10. At constant pressure the rams velocity ‘c’ is related to
density ‘d’ as
(A) c ∝ d
(B) c ∝ 1/d
(C) c ∝ √d
(D) c ∝ 1/√d
11. The rms speed of the molecules of a gas at a pressure
105 PA and temperature 0oC is 0.5 km s-1. if the
pressure is kept constant but temperature is raised to
819oCthe velocity will become :
(A) 1 km s-1.
(B) 1.5 km s-1.
(C) 2 km s-1.

(D) 5 km s-1
12. Two gases A and B having the same temperature T.
same pressure p and same volume V are mixed . if the
temperature of the mixture remains unchanged then the
volume occupied by it is V. then pressure of the
mixture will be :
(A) p/2.
(B) p
(C) 2p
(D) 4p.
13. Which of the following law s can be basis of separating
a mixture of gases ?
(A) Avogadro’s law
(B) Graham’s law of diffusion

(C) Boyle’s law
(D) Charle’s law
14. A gas molecule of mass m is incident normally on the
wall of containing vessel with the velocity u. after the
collision the momentum of the molecule will be
(A)zero.
(B) ½ mu.
(C) mu
(D) 2 mu.
15. Under same temperature & pressure , the rate of
diffusion ® of gas is related to the density of the gas as
:
(A) R∝ 1/d.
(B) R∝ d.

(C) R∝ 1/√d.
(D) R∝ √d.
16. The molecular motion ceases at :
(A) 273 K.
(B) 273oC
(C) – 273 K
(D) -273oC
17. The mean kinetic theory of a mono atomic gas
molecule is :
(A) zero.
(B) ½ kT.
(C) kT.
(D) 3/2 kT

18. The energy associated with each degree of freedom
of a gas molecule is :
(A) zero.
(B) ½ kT.
(C) kT.
(D) 3/2 kT.
19. A hotter gas implies higher average value of
(A) internal energy
(B) total energy
(C) kinetic energy
(D) heat constant.
20. The number of degrees of freedom for translatory
motion are
(A) same for all types of molecules.

(B) less for multi atomic molecules.
(C) more for multi atomic molecules.
(D) dependent upon the nature of translatory motion.

VECTORS MULTIPLES
SCALARS & VECTORS.
1. What is the maximum number of components into which
a vector can be split
(a) two
(b) three
(c) four
(d) any number of components
2. the minimum no. of vectors of equal magnitude
required to produce zero resultant is
(a) 2
(b)3
(4) 4
(d) more than 4.

VECTORS MULTIPLES
3. The minimum number of vectors of unequal magnitude
required to produce a zero resultant is:
(a) 2
(b) b
(3) 4
(d) more than 4.
→ → →
4. Given that R = P+Q. which of the following relation s
necessarily valid?
(a) P<Q
(b) P>Q
(c) P = Q

VECTORS MULTIPLES
5. The magnitude of the sum of the two vectors is equal
to the difference of their magnitudes . What is the angle
between the vectors.
(a) 00 .
(b) 450 .
(c) 900 .
(d) 1800 .
6. A particle is moving along a circular path with constant
speed ν. What is the change in speed when the particle
completes one fourth of revolution?
(a) Zero
(b) ν
(c) √2 ν
(d) ν/√2.

VECTORS MULTIPLES
7. What is the angle between P and the resultant of (P +
Q) and (P- Q) ?
(a) Zero
(b) tan-1 P/Q
(c) tan-1 Q/P
(d) tan-1 (P-Q) / (P+Q)
8. 100 coplanar forces each equal to 10N act on a body.
Ech force makes angle π/50 with the proceeding force.
What is the resultant of the forces
(a) 1000 N
(b) 500 N
(c) 250 N
(d) zero.

VECTORS MULTIPLES
9. There are N coplanar vectors each of magnitudes V.
Each vector is inclined to the preceding vector at angle
2π/N. What is the magnitude of their resultant?
(a) NV
(b) V
(c) V/N
(d) Zero.
10. Which of the following forces can be applied on a body
so as not to cause acceleration of the body
(a) 6,7,15
(b) 8,7,16
(c) 5,12,20
(d) 9,10,12.

VECTORS MULTIPLES
11. it is found that a body hangs properly when a force of 20
N east and another force of 30N north acts on it. What
is the magnitude of the single force that an do the same.
(a) 10N
(b) 36 N
(c) 50 N
(d) None of the above.
12. The unit vector along i +j is
(a) K
(b) i+j
(c) (i+j)/√2
(d) (i + j) /2
^ ^
13. What is the projection of 3i+4k on the y-axis.

VECTORS MULTIPLES
(a) 3
(b) 4
(c) 5
→ → → →
14. what is the angel between P + Q and P x Q?
(a) 0
(b) π/4
(c) π/2
(d) π.
→ → →→
15. what is the angle between P+Q and QxP
(a) zero
(b) π/2

VECTORS MULTIPLES
(c) π
16. Given that both P and Q are greater than 1. The
magnitude of PxQ cannot be :
(a) equal to PQ
(b) less than PQ
(c) more than PQ
(d) equal to P/Q.
17. A particle of mass m moving with velocity ν northwards,
collides with another particle of mass m moving with
velocity ν eastwards . after the collision the two particles
coalesce. What is he velocity of the new particle ?
(a) √2 ν north east
(b) ν/√2 north east

VECTORS MULTIPLES
(c) 2ν north east
(d) ν/2 north east
18. Which of the following pairs of displacements cannot be
added to produce a resultant displacement of 2 m.
(a) 1m & 1m
(b) 1m & 2m
(c) 1m & 3m.
(d) 1m & 4 m.
→ → → →
19. Given that | P+Q | = |P –Q |. This can be true when :
→ →
(a) P=0
(b) Q = 0
(c) Neither P nor Q is a null vector.

VECTORS MULTIPLES
→ →
(d) P is perpendicular to Q.
→ → → → →
20. The angle between P & Q is θ, R = P +Q makes angle
θ/2 with P. Which of the following is true.
(a) P = 2Q
(b) 2P =Q
(c) PQ=1
21. Given that P +Q = R and P =8, Q = 15, R = 17, what is
the angle P and Q.
(a) tan-1 (8/15)
(b) tan-1 (17/15)
(c) tan-1 (8/17)

VECTORS MULTIPLES
22. The velocity of a particle 6 ms-1 eastwards changes to 8
ms-1 northwards in 10s. What is the magnitude of the
average acceleration during this interval of time?
(a) 1.4 ms-2.
(b) 1 ms-2.
(c) 0.2 ms-2.
23. Given that P = 12, Q =5 and R=13. also P+Q = R. The
angle between P and Q is
(a) 0
(b) π/4
(c) π/2
(d) π.

VECTORS MULTIPLES
24. Which of the following vectors is perpendicular to i P cos
θ +j Q sinθ ?
^ ^
(a) iP sinθ + j Q cos θ.
^ ^
(b) i Q sinθ + j P cos θ.
^ ^
(c) i P cosθ + j Q sin θ.
^ ^
(d) i Q cosθ - j P sin θ.
→ →
25. Resultant of two vectors P & Q is inclined at 450 to
either of them. What is the magnitude of the resultant
(a) P+Q

VECTORS MULTIPLES
(b) P-Q
(c) [P2+Q2]1/2.
(d) [P2-Q2]1/2.
→→ → →
26. if P.Q = | P x Q |. The angle between P & Q is
(a) zero
(b) π/2
(c) π
(d) none.
27. Three forces are represented by the sides of a triangle
in the ratio 100 :173:200. the ratio between the sides of
a triangle are
(a) 900,300, 600 .
(b) 600,600, 600 .

VECTORS MULTIPLES
(c) 900,150, 750 .
(d) 600,450, 750 .
28. The resultant of P and Q is perpendicular to P. what is
the angle between P & Q?
(a) cos-1 (P/Q)
(b) cos-1 (-P/Q)
(c) sin-1 (P/Q)
(d) sin-1 (-P/Q)
→ → → → →
29. Given that P +Q = R and P+Q = R. The angle between P
& Q is
(a) 0
(b) π/4
(c) π/2

VECTORS MULTIPLES
(d) π
30. A man walks for sometime with velocity ν due east.
Then he walks for same time with velocity ν due north .
the average velocity of the man is :
(a) 2ν
(b) √2ν
(c) ν
(d) ν/√2.

PROJECTILE MOTION
Conceptual questions
1. Which of the following is the essential characteristic of a
projectile?
(a) initial velocity inclined to the horizontal.
(b) zero velocity at the highest point.
© constant acceleration perpendicular to the velocity
2. which of the following does not effect the maximum
height attained by the projectile ?
(a) magnitude of initial velocity
(b) acceleration of the projectile
(c) angle of the projection
(d) mass of the projectile

3. A ball is thrown horizontally from the top of a tower .
what happens to the horizontal component of its
velocity.
(a) increases
(b) decreases
(c) remains unchanged
(d) first increases then decreases
4. a ball is thrown horizontally and another is just dropped
from the top of a tower. which will reach the ground first
(a) first ball
(b) 2nd ball
(c) both will reach simultaneously
(d) depends upon the masses of the balls

5. A projectile is thrown with a velocity u. the maximum
possible range of the projectile is
(a) 4u2/g.
(b) u2/2g.
(c) u2/g.
(d) 2u2/g.
6. A projectile is fired with speed u making angle θ with
the horizontal . its potential energy at the highest point is
(a) (1/2) mu2 sin2θ
(b) (1/2) mu2 cos2θ
© (1/2) mu2
(d) (1/2) mu2 sin22θ
7. if the time of flight of projectile is doubled what happens
to the maximum height attained.

(a) halved
(b) remains unchanged
(c) doubled
(d) becomes four times.
8. a body is projected horizontally from the top of a tower
with initially velocity 18 ms-1. it hits the ground at angle
450. what is the vertical component of velocity when it
strikes the ground.
(a) 9 ms-1.
(b) 9√2 ms-1.
(c) 18 ms-1.
(d) 18√2 ms-1.

9. A projectile has νx = 20m/s. and νy = 10 ms. what will be
the angle made by the velocity of the body with the
vertical.
(a) tan-1 (2.0)
(b) tan-1 (1.5)
(c) tan-1 (1.0)
(d) tan-1 (0.5)
10. The projectile goes farthest away from the earth, when
the angle of projection is
(a) 00.
(b) 450.
(c) 900.
(d)1800.

11. What is the least velocity at which a ball can be thrown
through a distance 40 m.
(a) 5 ms-1.
(b) 10 ms-1.
(c) 15 ms-1.
(d) 20 ms-1.
12. a projectile is thrown at an angle of 400 with the
horizontal and its range is R1. another projectile is
thrown at an angle 400 with the vertical and its range R2.
what is the relation between R1 & R2.
(a) R1 =R2.
(b) R1 = 2R2.
(c) R2 = 2R1.
(d) R1 =4R2./5

13. Two projectiles are fired at different angles with the
same magnitude of velocity such that they have same
range, at what angles they might have been projected?
(a) 100 & 500.
(b) 250 & 650.`
(c) 350 & 750.
(d)none of the above.
14. The distance traveled by a body dropped from the top of
a tower is proportional to
(a) mass of the body
(b) weight of the body
© height of the tower
(d) square of the time elapsed.

15. A bullet is fired horizontally with a velocity of 200 ms-1. if
the acceleration due to gravity is 10 ms-2., in the first
second it fall through a height of
(a) 5m
(b 10m
(c) 20 m
(d) 200 m.
16. in case of a projectile , what is the angle between the
instantaneous velocity and acceleration at the highest
point.
(a) zero
(b) 450 .
(c) 900.
(d) 1800

17. The projectile has the minimum value of the time of flight
when the angle of projection is
(a) 900.
(b) 600.
(c) 450.
(d) 300.
18. A projectile is fired at 300. with momentum p, neglecting
friction, the change in kinetic energy when it returns to
the ground will be
(a) zero
(b) 30%
(c) 60%
(d) 100%

19. in the above questions , the change in momentum on
return to the ground will be
(a) zero
(b) 30%
(c) 60%
(d) 100%
Numerical bank
20. A projectile of mass m fired with velocity u making angle
θ with the horizontal . its angular momentum about the
point of projection when it hits the ground is given by
(a) (2mu sin2θ cosθ) / g
(b) (2mu3 sin2θ cosθ) / g
(c) (mu sin2θ cosθ) / g
(d) (mu3 sin2θ cosθ) / g

21. The maximum height attained by the projectile is
increased by 5%. Keeping the angle of projection
constant. What is the percentage increased in the
horizontal range.
(a) 5%
(b) 10%
(c) 15%
(d) 20%
22. The velocity of projection of a body is increased by 2%.
Others factors remaining unchanged. What will be the
percentage change in the maximum height attained.
(a) 1%
(b) 2%
(c)4%

(d) 8%
23. The range R of a projectile is same when its maximum
heights are h1 & h2.what is the relation between R , h1
& h2?
(a) R = √ h1 h2 .
(b) R = √ 2h1 h2 .
(c) R = 2 √h1 h2 .
(d) R = 4√h1 h2 .
24. The friction of he air causes a vertical retardation equal
to 10% of the acceleration due to gravity. (take g =
10ms-1) the maximum height will be decreased by
(a) 11%
(b) 10%
(c)4.5%

(d) 8%
25. in the above question time to reach the maximum height
will be decreased by
(a) 19%
(b) 5%
(c) 10 %
26. The friction of the air causes vertical retardation equal to
one tenth of the acceleration due to gravity (take g =
10ms-2) the time of flight will be decreased by
(a) 0%
(b)1%
(c)9%
(d) 11%

27. A projectile has time of flight ‘l’ and range R. if the time
of flight is doubled , what happens to the range
(A) R/4
(b) R/2
(c) 2R
(d) 4R.
28. two balls of same mass are projected one vertically
upwards and the other at angle 600. with the vertical.
The ratio of their potential energy at the highest point is
(a) 3:2
(b) 2:1
(c) 4:1
(d) 4: 3

29. in the above question the kinetic energy at the highest
point for the second ball is K. what is the kinetic energy
for the first ball ?
(a) 4K
(b) 3K
(c) 2K
(d) zero
30. A stone thrown upwards with speed u attains maximum
height h. another stone thrown upward from the same
point with speed 2u. attains maximum height H. what is
the relation h & H.
(a) 2h =H
(b) 3h=H
(c) 4h = H

(d) 5h =H
31. A body dropped from the top of a tower covers a
distance 7x in the last seconds of its journey, where x is
the distance covered in the first second how much time
does it take to reach the ground.
(a) 3s.
(b) 4s.
(c) 5s.
(d) 6s.
.33 A ball is thrown down wards with velocity V from the top
of a tower and it reaches the ground with speed 3V.
what is the eight of the tower.
(a) V2/g.
(b) 2V2/g.

(c) 4V2/g.
(d) 8V2/g.
33 A ball is projected upwards . The time corresponding to
height h while ascending and descending are t1 & t2
respectively . what is the speed of projection ? take
acceleration due to gravity as 10 m/s2.
(a) 10t1.
(b) 10t2
(c) 10(t1+t2)
(d) 5(t1+t2)
34. A ball is dropped from the top of a tower the distance
covered by it in the last second is (9/25)th of the height
of the tower what is the height of the tower.
(a) 122.5 m

(b) 100.5 m
(c)88.5 m
(d)64.5
35. the instantaneous height y and the horizontal distance x
covered by a particle are as follows :
y =bt2., x = ct2.What is the speed of the particle one
second after the firing ?
(a) 2(b+c)
(b) 2(b-c)
(c) 2(b2+c)1/2
(d) 2(b2-c2)1/2.
36. The range of projectile when fired at 750 with the
horizontal is 0.5 km . what will be its range when fired at
450.

(a) 0.5 km.
(b) 1.0 km
(c) 1.5 km
(d) 2.0 km.
37. A projectile can have the same range R for two angles
of projection. If t1 & t2 be the times of flight in the two
cases then what is the product of two times of flight ?
(a) t1t2 ∝ R2.
(b) t1t2 ∝ R.
(c) t1t2 ∝ 1/R.
(d) t1t2 ∝ 1/R2.
38. A projectile is fired with velocity of 10ms-1. at angle of
600. with the horizontal. Its velocity at the highest point is

(a) zero
(b) 5 ms-1.
(c) 8.66 ms-1.
(d) 10 ms-1.
39. The range of a projection is maximum. If the range is R,
what is the maximum height.
(a) 2R.
(b) R
(c) R/2
(d) R/4.
40. A projectile is projected with kinetic energy K. it has the
maximum possible horizontal range, then its kinetic
energy at the highest point will be
(a) 0.25K

(b) 0.5 K
(c) 0.75 K
(d) K.
41. A stone is thrown horizontally with a velocity ν from the
top of the tower of height h. what is the change in
velocity when the some reaches the ground.
(a) [u2+2gh]1/2.
(b) [u2- 2gh]1/2.
(c) √2gh
(d) [u2+2gh]1/2 – u
42. A gun fires two bullets at 600 & 300 with horizontal. The
bullet strikes at same horizontal distance. The ratio of
maximum height for the two bullets is in the ratio
(a) 2:1

(b) 3:1
(c) 4:1
(d) 1:1
43. A particle of mass ‘m’ is projected with a velocity ν
making angle of 450 with the horizontal. The magnitude
of the angular momentum of the projectile about the
point of projection when at the maximum height h is
(a) zero
(b) mν3 /4√2g
(c) mν3 /√2g
(d) 2m(2gh3)1/2.

WORK POWER AND ENERGY
WORK, POWER & ENERGY
1. The work done against friction , when a body of mass M
moves up an inclined plane of angle θ through a
distance S is
(A) Mg (sinθ + µ cos θ)S.
(B) (µ Mg sin θ)S
(C) µ Mg cos θ S.
(D) none of the above.
2. When a body of mass M slides down an inclined
plane of inclination θ, through distance S, the work
done against friction :
(A) µ Mg cos θ S
(B) µ M G sinθS

(C) Mg (µ sinθ - sinθ) S.
(D) none fo the above.
3. Which of the following remains constant for an isolated
system .
(A) Sum of kinetic energy and potential energy.
(B) Kinetic energy
(C) potential energy
4. The slope of the potential energy versus position vector
gives
(A) power
(B) work done
(C) force
(D) momentum

5. A particle moves under the influence of a force given
by F = cx, where c is a constant and x is the distance
covered. The energy gained by the particle moving
from x = 0 to x = 4 is :
(A) 2c
(B) 4c
(C) 8c
(D) 16c
6. A vehicle is moving on a rough horizontal road with the
velocity ν. The stopping distance will be directly
proportional to:
(A) √ν
(B) ν
(C) ν2.

(D) ν3.
7. A body is acted upon by a force which varies
inversely as the distance (x) covered . The work done
on the body is proportional t
(A) √x
(B) x
(C) x2.
8. a heavy weight is suspended from a spring Te energy
stored in the spring is E. If the weight is raised till the
spring comes to its un stretched position and the
work done in doing so be W. then gain in gravitational
potential energy of the weight will be :
(A) W + E

(B) W – E
(C) W.
(D) E.
9. A block of mass M slides down a rough inclined
plane of height h through a slope distance s. I F be
the force of the friction then the kinetic energy at the
bottom will be
(A) Mgh
(B) Mgs
(C) Mgh – Fs
(D) Mgh + Fs.
10. A body is acted upon by a force which is proportional
to the distance covered. If the distance covered by the

denoted by x. then work done by the force will be
proportional to
(A) x
(B) x2.
(C) x3/2.
(D) none to the above
11. In which of the following cases the work done
increases the potential energy ?
(A) Both conservative and non conservative forces
(B) Non conservative force only.
(C) Conservative force only.
(D) Neither conservative nor non conservative forces.

12. A block of mass M slides down the surface of a bowl
of radius R from its sim to the bottom What will be the
kinetic energy of the block at the bottom
(A) 2MgR
(B) MgR
(C) MgR / 4.
(D) Mgr/4.
13. A body falls freely under gravity . its velocity is 3
when it has lost potential energy equal to U. What is
the mass of the body ?
(A) U2/ν2.
(B) 2U2/ν2.
(C) 2U/ν2.
(D) U/ν2.

14. A rod of mass M and length L is lying on a horizontal
table. The work done in making it stand e one end will
be
(A) Mgl
(B) Mgl/2.
(C) Mg/4.
(D) 2Mgl
15. A block of mass M slides down a smooth inclined
plane of height h through a slope distance s. The
kinetic energy of the mass at the bottom will be
(A) Mgh
(B) Mgs.
(C) Mg (h-x)
(D) Mg (h+s)

16. The momentum of a particle is numerically double the
kinetic energy. What is the velocity of the particle ?
(A) 1 ms-1.
(B) 2 ms-1.
(C) 4 ms-1.
17. A force of 10 N displaces a body by 6 m in 3 seconds.
The power of the agency applying the force is :
(A) 1.8 W
(B) 5W
(C) 180 W
18. A ball of mass 2 kg moves so that its position x as
function of time t is given by x = t3/3. IF x is measured

in meters 7 t in seconds , what is the kinetic energy
acquired by the particle in first two seconds.
(A) 16 kJ
(B) 1.6 J
(C) 16 J
(D) 1.6 kJ
19. An electric motor creates a tension of 4500 Newton in
a hoisting cable and reels it in at the rate of 2 m/s.
what is the power of electric motor
(A) 15 kW
(B) 9kW
(C) 225 watts.
(D) 9000 H.R.

20. A cricket ball is hit at 600 to the horizontal with kinetic
energy k. when the ball is at the highest point, its kinetic
energy will be
(A) zero.
(B) k/4.
(C) k/2.
(D) 3k/4.
21. A body moving at 2 ms-1 can be stopped over a
distance x. If the kinetic energy of the body is doubled
, how long will it go before coming to rest, I the
retarding force remains unchanged
(A) x
(B) 2x
(C) 4x

(D) 8x.
22. A man M1 of mass 80 kg runs up a stair case in 15 s.
Another man M2 also of mass 80 kg runs up the
same stair case in 20 S. The ratio of the power
developed by them will be
(A) 1
(B) 4/3.
(C) 16/9
23. A ball of mass 50 g is thrown upwards . it rises to a
maximum height of 100m. At what height its kinetic
energy will be reduced to 70%:
(A) 30m
(B) 40m

(C) 60m
(D) 70m
24. A ball is allowed to fall down a height of 10m . if thee
is 40% loss of energy due to impact, then after one
impact ball will go up to
(A) 10m
(B) 8m
(C) 4m
(D) 6m.
25. A cable pulls a box with force of 5 kN and raises it at
the rate of 2 ms-1. What is the power of then engine
providing tension to the cable.
(A) 2kW
(B) 2.5 kW.

(C) 5kW
26. Two bodies A and B having mass m and M
respectively possess same kinetic energy. Given that
M>m. If PA and PB be their momenta. Then which of
the following statements is true.
(A) PA = PB.
(B) PA > PB.
(C) PA < PB.
(D) it van not be predicted
27. Two bodies A and B having masses m and M
respectively possess same momenta. Given that M>m.
IF EA and EB be their kinetic energies, then which of
the following statements is true

(A) EA = EB.
(B) EA < EB.
(C) EA > EB.
(D) it can not be predicted
28. A body starts from rest and acquires a velocity V in
time T. then work done on the body in time t will be
proportional to
(A) (V/T)t
(B) (V2/T)t2..
(C) (V2/T2)t..
(D) (V2/T2)t2..
29. A body starts from rest and acquires a velocity V in
time T. The instantaneous power delivered to the body
in time t is proportional to:

(A) (V/T)t.
(B) ((V2/T)t2.
(C) (V2/T2)t..
(D) (V2/T2)t2..
30. A uniform chain of length L and mass M is lying on a
smooth table. One fourth of its length is hanging
vertically down over the edge of the table How much
work need to be done to pull the hanging part back tot
eh table.
(A) MgL
(B) MgL/2
(C) MgL/8
(D) MgL/32

COLLISIONS MULTIPLES
COLLISIONS
1. A rubber ball rebounds after inelastic collision from
the floor. Which of the following statements is true ?
(A) Conservation of energy.
(B) Conservation of energy remains violated
(C) Momentum of the ball before collision is equal to
that after the collision.
2. A bullet strikes against a wooden block and is
embedded in it, the nature of collisions is
(A) Elastic.
(B)Perfectly elastic
(C) inelastic.
(D) perfectly inelastic.

3. Which of the following statements is false?
(A) Momentum is conserved in all types of collisions.
(B) Energy is conserved in all types of collisions.
(C) During elastic collisions conservative forces are
involved.
(D) Work energy theorem is not applicable to inelastic
collisions.
4. A Bullet of mass m is fired with a velocity ν onto a
block of wood of mass M and initially at rest. The final
velocity of the system will be
(A) [ m / (m .+ M) ] ν
(B) [ M/ ( m + M) ] ν
(C) [ (m +M) /m ] ν
(D) [ ( m + M) /M] ν

5. A ball of mass M moving with velocity ν collides
elastically with wall and rebounds .The change in
momentum of the ball will be :
(A) Zero.
(B) Mν
(C) 2 Mν.
(D) 4 Mν
6. A show man comes running and stands at the centre
at the centre of the rotating platform Considering the
platform and the showman a system , which of the
following is conserved.
(A) Linear momentum.
(B) Angular momentum.
(C) Kinetic energy

7. A shell of mass M is moving with a velocity V. it
explodes into two parts, and one of the parts of mass
m is left stationary. What will be the velocity of the
other part.
(A) MV/ (M-m)
(B) MV/ ( M+m)
(C) mV/ (M-m)
(D) mV/ (M+m)
8. A ball B1 of mass M is moving with velocity ν along
north. It collides with another Ball B2 of same mass
moving with velocity ν along east. After the collisions
both balls stick together and move along north east.
What will be the velocity of the combination.

(A) ν
(B) 2ν
(C) √2ν
(D) ν/√2
9. A gun of mass M fires a bullet of mass m, what will be
the ratio of the recoil energy of the gun to that of
the bullet ?
(A) M/m
(B) m/M
(C) m / ( m + M)
(D) M/ (M+m)
10. A body is dropped from a height h. after the third
rebound it rises to h/2. what is the coefficient the
restitution ?

(A) ( 1/ 2)
(B) ( 1 / 2 ) 1/2.
(C) ( 1 / 2 ) 1/4
(D) ( 1/ 2) 1/6.
11. A particle of mass 10 kg moving eastwards with a
speed of 5 ms-1 collides with another particle of the
same mass moving north-wards with the same speed
5 ms-1. The two particles coalesce on collision. The
new particle of mass 20 kg will move in the north
easterly direction with a velocity
(A) 10 ms-1.
(B) 5 ms-1.
(C) ( 5/ √2 ) ms-1.
(D) none of these.

12. A bullet is fired on a wooden block. Its velocity
reduces by 50% on penetrating 30 cm. How long will
it penetrate further before coming to east.
(A) 30 cm
(B) 15 cm
(C) 10 cm
(D) 5 cm
13. A bomb explodes into two fragments of masses 3 kg
and 1 kg. total kinetic energy of the fragments is 6
MJ. What is the ratio of the kinetic energies of smaller
mass to the larger mass ?
(A) 1/3.
(B) 3.
(C) 1/9.

(D) 9.
14. An automobile engine of mass M accelerates and a
constant power P is applied by the engine The
instantaneous speed of the engine will be
(A) [ Pt/M]1/2.
(B) [2)t/M]1/2.
(C) [ Pt/2M]1/2.
(D) [ PT/4M]1/2.
15. A ball is dropped from a weight h on the ground . if
the coefficient of the restitution us e, the height to
which the ball goes up after it rebounds for nth time
is
(A) he2n.
(B) hen.

(C) e2n/h
(D) h/e2n.
16. A ball of mass m moving with velocity v strikes the
bob of a pendulum at res. The mass of the bob is
also m. if the collision is perfectly inelastic , the height
to which the two will rise is given by :
(A) ν2/8g.
(b) ν2/4g.
(C) ν2/2g
(D) ν2/g.
17. A body of mass 2 kg is thrown up vertically with K.E.
of 490 joules. If the acceleration due to gravity is 9.8
m/s2 , the height at which the K.E of the body
becomes half of its original value is given by :(A)50m

(B) 12. 5m
(C) 25 m
(D) 10m.
18. A bullet of mass 10 g leaves a rifle at a initial velocity
of 100 m/s. and strikes the earth at the same level with
a velocity of 500 m/s. The work done in joules
overcoming the resistance of air will be
(A) 375
(b) 3750
(C) 5000
(D) 500
19. A bullet of mass m and velocity a is fired into a large
block of wood of mass M. The final velocity of the
system is

(A) [ α / (m + α)]α
(B) [ (m + M) / m)]α
(C) [ (m + α) / M ]α
(D) [m / (m + M))]α
20. The kinetic energy acquired by a mass m in
travelling a certain distance d, starting from rest,
under the action of a constant force is directly
proportional to
(A) √m
(B) independent of m.
(C) 1/√m.
(D) m.
21. A position dependent force F = 7 – 2x + 3x2 newton

Acts on a small body of mass 2 kg and displaces it
from x = 0 to x = 5m. The work done in joules is
(A) 70
(B) 270
(C)35
(D) 135.
22. A bullet of mass a and velocity b is fired into a large
block of mass c. the final velocity of the system is
(A) ( a + c) / b , b
(B) a / (a + c) , b
(C) ( a + b) / c , a
(D) c / ( a+ b) , b
23. A ball is dropped from height 10. Ball in embedded in
sand 1m and stops .

(A) Only momentum remains conserved.(B) Only
kinetic energy remains conserved.
(C) Both momentum and K.E. are conserved (D)
Neither K.E. nor momentum is conserved.
24. A bullet is fired and gets embedded in block kept on
table, then if tale is frictionless.
(A) Only K.E. is conserved
(B) Only momentum is conserved
(C) Both are conserved
(D) None of these.
25. A moving body of mass m and velocity 3 km/h
collides with a resting body of mass 2m and sticks to
it. Now the combined starts to move. What will be the
combined velocity.

(A) 3 km/h.
(B) 2 km/h.
(C) 1 km/h.
(D) 4 km/h.
26. A ball whose kinetic energy is E, is thrown at an
angle of 45o with the horizontal , its kinetic energy at
the highest point of its flight will be
(A) E.
(B) F/√2.
(C) E/2.
(D) zero
27. Two bodies of masses m and 4m are moving with
equal kinetic energy. The ratio of their linear
momentum is

(A) 4 :1
(B) 1 : 1
(C) 1 : 2
(D) 1 : 4
28. A metal ball of mass 2 kg moving with a velocity of
36 km/h has an head on collision with a stationary ball
of mass 3 kg, if after the collisions the two balls move
together, the loss in kinetic energy due to collision is
(A) 40 J
(B) 60 J
(C) 100 J
(D) 140 J
29. If momentum is increased by 20% then K.E increases
by

(A) 44%
(B) 55%
(C) 66%
(D) 77%
30. If a body of mass 200 g falls from a height 200 m and
its total P.E is converted into K.E. at the point of
contact of the body with earth surface, then what is
the decrease in P.E of the body at the contact ?
(A) 200 J
(B) 400 J
(C) 600 J
(D) 900 J

MOTION OF SYSTEM OF PARTICLE
AND RIGID BODIES.
QUESTIONS FROM THE COMPETITIVE
EXAMS.
1. A bucket tied at the end of a 1.6 m log string is whirled
in a vertical circle with constant speed. What should be
the minimum speed so that the water from the bucket
does not spill when the bucket is at the largest position
?
(A) 4m/s.
(B) 6.25 m/s.
(C) 16 m/s.
2. The moment of inertia of a circular ring about an axis

assign through its centre and normal to its plane is 200
g x cm2. then its moment of inertia about a diameter is
(A) 400 g cm2.
(B) 300 g cm2.
(C) 200 g cm2.
(D) 100 gcm2.
3. A constant torque acting on a uniform circular wheel
changes its angular momentum from A0 to 4 A0 in 4
seconds. The magnitude of this torque is
(A) 3A0/4.
(B) A0.
(C) 4A0.
(D) 12 A0.

4. An inclined plane makes an angle of 300 with the
horizontal.. A solid sphere rolling down this inclined
plane from rest without slipping has a linear
acceleration equal to :
(A) g/3.
(B) 2g/3.
(C) 5g/7
(D) 5g/14.
5. A spherical ball rolls on a table without slipping then
the fraction of its total energy associated with rotation
is
(A) 2/5
(B) 2/7
(C) 3/5

(D) 3/7
6. A fly wheel rotating a fixed axis has a kinetic energy of
360 J when its angular speed is 30 radians per second.
The moment of inertia of the inertia of the flywheel
about the axis of rotation is
(A) 0.15 kg m2.
(B) 0.75 kg m2.
(C) 0.60 kg m2.
(D) 0.80 kg m2.
7. A solid cylinder of mass M and radius R rolls on a flat
surface. Its moment of inertia about line of contact is
(A) 2MR2.
(B) 3MR2/2.
(C) 12MR2.

(D) MR2.
8. A ring of mass m and radius r rotates about an axis
passing through its centre and perpendicular to its
plane with angular velocity ω. Its kinetic energy is
(A) ½ mr2ω2.
(B) mrω2.
(C) mr2ω2.
(D) ½ mr2ω2.
9. A solid cylinder of mass M and radius R rolls down an
inclined plane of height h without slipping. The speed
of its centre of mass when it reaches the bottom is
(A) √(2gh)
(B) √(4gh/3)
(C) √(3gh/4)

(D) √(4g/h)
10. A thin, uniform circular ring is rolling down in inclined
plane of inclination 300 without slipping. Its linear
acceleration along the inclined plane will be
(A) g/2
(B) g/3.
(C) g/4.
(D) 2g/3.
11. The speed of a homogeneous , solid sphere after rolling
down an inclined plane of vertical height h, from rest
without sliding is
(A) 10/7 gh
(B) √gh
(C) 6/5 gh

(D) 4/3 gh
12. A solid homogeneous sphere of mass M and radius is
moving on a rough horizontal surface, partly rolling and
partly sliding. During this kind of motion of the sphere.
(A) total kinetic energy is conserved.
(B) the angular momentum of the sphere about the
point of contact with the plane is conserved
(C) only the rotational kinetic energy about the centre
of mass conserved.
(D) angular momentum about the centre of mass of
conserved.
13. A particle of mass ‘M’ is moving in a horizontal circle of
radius ‘R’ with uniform speed ‘V’. when it moves from
one point to a diametrically opposite point , its

(A) kinetic energy changes by MV2/4.
(B) momentum does not change.
(C) momentum changes by 2MV.
(D) kinetic energy changes by MV2.
14. A body moving in a circular motion with constant
speed has
(A) constant velocity
(B) constant acceleration
(C) constant acceleration
(D) constant displacement
15. If a sphere is rolling the ratio of its rotational energy to
the total kinetic energy is given by
(A) 10 :7
(B) 2:5

(C) 10 : 7
(D) 2 : 7
16. Angular momentum is
(A) Vector (axial)
(B) Vector (polar)
(C) Scalar
(D) None of the above
17 A body of mass m slides down an inclined plane and
reaches the bottom with velocity ν. If the same mass
were in form of ring which rolls down this incline ,
velocity of ring of the bottom would have been
(A) ν√2
(B) ν
(C) ν/√2

(D) √(2/5) ν
18. Three points masses each of mass m are placed at the
corners of an equilateral triangle of side b. The
moment of inertia of the system about an axis
coinciding with one side of triangle is :
(A) 3 mb2.
(B) mb2.
(C) (3/4)mb2.
(D) (2/3) mb2.
19. A body is rolling without slipping on a horizontal surface
and its rotational kinetic energy is equal to the
translational kinetic energy. The body is
(A) disc.
(B) sphere.

(C) cylinder
(D) ring.
20. What remains constant in the field of central force
(A) potential energy
(B) kinetic energy
(C) angular momentum
(D) linear momentum
21. if the moment of inertia of a disc about an axis
tangentially and parallel to its surface be I, then what
will be the moment of inertia about the axis tangential
but perpendicular to the surface
(A) (6/5)I
(B) (3/4)I
(C) (3/2)I

(D) (5/4)I.
22. What remains constant when the earth revolves
around the sun ?
(A) Angular momentum
(B)Linear momentum
(C) Angular kinetic energy
(D) Linear kinetic energy.
23. What will be the moment of inertia of a thin rod of
mass M and length L about an axis passing through its
ends and perpendicular to the length?
(A) ML2/3
(B) ML2/12.
(C) ML2/2
(D) ML2.

24. A body is whirled in a horizontal circle of radius 20 cm.
it has angular velocity of 10 rad/s. What is its linear at
any point on circular path ?
(A)10 m/s
(B) 2 m/s.
(C) 20 m/s.
(D) √ m/s.
25. There is a change of angular momentum from J to 4J in
4 seconds, then the torque is
(A) (3/4)J
(B) 1 J
(C) (5/4)J
(D) (4/3) J
26. A couple produces

(A) Purely linear motion
(B) Purely rotational motion.
(C) linear and rotational motion.
(D) no motion.
27. A cylinder of 500 g and radius 10 cm ahs moment of
inertia
(A) 2.5 x 10-3 kg m2.
(B) 2 x 10-3 kg m2.
(C) 5 x 10-3 kg m2.
(D) 3.5 x 10-3 kg m2.
28. A car when passes through a convex bridge exerts a
force point which is equal to
(A) Mg + (Mν2/r)
(B) Mν2/r.

(C) Mg.
(D) None of these.
29. In which case application of angular velocity is useful
(A) when a body is rotating
(B) when velocity of a body is in a straight line
(C) when velocity is in a straight line
(D) None of these
30. Which of following is the relation of centripetal force?
(A) mν2/r.
(B) mν/r
(C) mν3/r
(D)mν3/r2.
31. A body of mass 100 g is rotating in a circular path of
radius r cm with constant velocity. The work done in one

complete revolution is
(A) 100 rJ
(B) (r/100) J
(C) (100/r)J
(D) zero
32. The angular velocity of a particle rotating in a circular
orbit 100 times per minute is .
(A) 1/66 rad/s
(B) 10.47 rad/s
(C) 10.47 deg/s
(D) 60 deg/s.
33. A Weightless ladder 20 ft long rests against a
frictionless wall at an angle of 600 from the horizontal .
A 150 pound man is 4ft from the top of the ladder. A

horizontal force is needed to keep it from slipping.
Choose the correct magnitude from the following.
(A) 17.5 lb
(B) 10.0 lb
(C) 12.9 lb
(D) 15.0 lb.
34. A ball of mass 0.25 kg attached to the end of a string
of length 1.96 m is moving in a horizontal circle. The
string will back if the tension is more than 25 N. What is
the maximum speed with which the ball can be moved
?
(A) 14 m/s.
(B) 3 m/s.
(C) 3.92 m/s.

(D) 5m/s.
35. A body of mass 5 kg s moving in a circle of radius 1
m with an angular velocity of 2 rad/s. The centripetal
force , is
(A) 10N
(B) 20N
(C) 30 N
(D) 40 N
36. Three identical metal ball each of the radius r are
placed touching each other on a horizontal surface
such that an equilateral triangle is formed when centre
of mass three balls are joined. The centre of mass of
the system is located at
(A) horizontal surface

(B) centre of one of the balls.
(C) line joining centers of any two balls
(D) point of intersection of medians
37. A 500 kg car takes a round turn of radius 50 cm with
velocity of 36 km/h. The centripetal force is
(A) 250 N
(B) 650 N
(C) 1000 N
(D) 1200 N.
38. Two racing cars of masses m1 and m2 are moving in
circles of radii r1 and r2 respectively . their speeds are
such that each makes a complete circle in the same time
t. the ratio of the angular speeds of the first to the
seconds car is

(A) 1 : 1
(B) m1 : m2
(C) r1 : r2
(D) m1m2 : r1r2.
39. The moment of inertia of a disc of mass M and radius R
about an axis , which is tangential to the circumference
of the disc and parallel to its diameter is
(A) (3/2) MR2.
(B) (2/3) MR2.
(C) (5/4) MR2.
(D) (4/5) MR2.
40. A small sphere is attached to a cord and rotates in a
vertical circle about a point O. if the average speed of

the sphere is increased, the cord is most likely to
break a the orientation .when the mass is at
(A) Bottom point B
(B) the point C
(C) the point D
(D) Top point A.
41. A solid sphere and a hollow cylinder both of the same
mass and same external diameter are released from
the same height at the same time on an inclined plane.
Both roll down without slipping. Which one will reach
the bottom first ?
(A) both together
(B) Solid cylinder
(C) One with higher density

(D) Hollow cylinder.
42. A rod of length 1.4 m and negligible mass has two
masses of 0.3 kg and 0.7 kg tied to its two ends. Find
the location of the point on this rod where the rotational
energy is minimum when the rod is located about that
point.
(A) 0.98 m from 0.3 kg
(B) 0.7 m from 0.3 kg
(C) 0.98 m from 0.7 kg
(D) 0.7 m to 0.7 kg
43. A body is allowed to slide down a frictionless track
freely under gravity. The track ends in a semicircular
shaped part of diameter D. What should be the height

from which the body must fall so that it completes the
circle ?
(A) D
(B) (5/4)D
(C) (4/5)D
(D) 2D.
44. A body is moving in a circular path with constant speed
has
(A) constant acceleration
(B) constant retardation
(C) variable acceleration
(D) variable speed and constant velocity
45. The torque acting on a body is the rotational analogue
of

(A) mass of the body.
(B) linear kinetic energy of the body
(C) linear velocity of the body
(D) force in linear motion
(E) linear acceleration
46. If the solid sphere and solid cylinder of same mass and
density rotate about their own axis, the moment of
inertia will be greater for
(A) solid sphere
(B) solid cylinder
(C) both
(D) equal both.
47. A person is standing on a rotating stool spreading his
arms. He suddenly contracts his arms. His

(A) Angular momentum increases.
(B) Moment of inertia increase.
(C) Moment of inertia decreases
(D) Angular momentum decreases
48. A disc is rolling the velocity of its centre of mass is ν cm.
which one will be correct.
(A) The velocity of highest point is 2νcm and point of
contact is zero.
(B) the velocity of highest point is ν cm point of contact is
νcm/
(C) The velocity of the highest point is 2νcm and point
of contact is νcm
(D) The velocity of highest point is 2νcm and point of
contact is 2νcm.

49. Two particles having masses M and m are moving in a
circular path having radius R and r. If their time periods
are same then ratio of angular velocity will be
(A) r/R
(B)R/r
(C) 1
(D) √(R/r)
50. Initial angular velocity of a circular disc of mass M is ω1.
Then two small sphere of mass m are attached gently
to two diametrically opposite points on the edge of the
disc. What is the final angular velocity of the disc.
(A) [(M+m)/M]ω1.
(B) [(M+m)/m]ω1.
(C) [M / (M+4m)]ω1.

(D) [M / (M+2m)]ω1.
51. The minimum velocity (in ms-1) with which a car driver
must travels a flat curve of radius 150 m and
coefficient of friction 0.6 to avoid skidding is
(A) 60
(B) 30
(C) 15
(D) 25.
52. A solid sphere , a hollow sphere and a ring are released
from top of an inclined plane so that they slide down the
plane. Then maximum acceleration down the plane is
for
(A) solid sphere
(B) hollow sphere

(C) ring
(D) all same
53. Moment of inertia of a circular wire of mass M and
radius R about its diameter is
(A) MR2/2.
(B) MR2
(C) 2 MR2
(D) MR2/4.
54. The angular speed of a flywheel making 120 rev/min is
(A) 4π
(B) 4π2.
(C) 2π
(D) 2π2.

55. A solid sphere of radius R is placed on smooth
horizontal surface. A horizontal force ‘F’ is applied at
height h from the lowest point. For the maximum
acceleration of centre of mass, which is correct
(A)h = R
(B)h =2R
(C) h=0
(D) no relation between n and R.
56. A rod of length 3m and its mass acting per unit length is
directly proportional t distance x from one of its end
then its centre of gravity from that end will be at
(A) 1.5 m
(B) 2m
(C) 2.5 m

(D) 3.0 m
57. A disc is rotating with angular speed ω. If a child sits
on it. What is conserved ?
(A) Linear momentum
(B) angular momentum
(C) Kinetic energy
(D) Potential energy
58. Consider a point P at contact point of a wheel on
ground which rolls on ground without slipping then
value of displacement of point p when wheel competes
half of rotation.( if radius of wheel is 1m)
(A) 2m
(B) √(π2+4) m
(C) π m

(D) √(π2+2)m
59. A Car is moving with high velocity when it takes a
turn. A force acts on it outwardly because of
(A) Centripetal force
(B) Centrifugal force
(C) Gravitational force
(D) All of these
60. the angular momentum of a moving body remains
constant if
(A) net external force is applied.
(B) net pressure is applied.
(C) net external torque is applied.
(D) net external torque is not applied.

61. A Scooter is going round a circular road of radius
100m at a speed of 10m/s. The angular speed of the
scooter will be
(A) 0.01 rad/s
(B) 0.1 rad/s `
(C) 1 rad/s
(D) 10 rad/s.
62. a solid sphere of mass 50 g and radius 20 cm rolls
without slipping wth the velocity 20 cms-1. The total
kinetic energy of the sphere will be
(A) 0.014 J
(B) 0.028 J
(C) 280 J
(D) 140 J

63. If 2 kg mass is rotating on a circular path of radius 0.8
m with the angular velocity of 44 rad / sec. if radius of
path becomes 1m. Then the angular velocity will be
(A) 28.16 rad/sec
(B) 35.16 rad/sec
(C) 19.28 rad/sec
(D) 8.12 rad/sec
64. A particle performing uniform circular motion has
angular momentum L. if its angular frequency is
doubled and its kinetic energy halved then the new
angular momentum is
(A) L/2
(B) L/4
(C) 2L

(D) 4L
65. A ball rolls without slipping. The radius of gyration of
the ball about an axis passing through its centre of
mass is K. if radius of the ball be R. then the fraction of
total energy associated with its rotational energy will be
(A) K2/R2.
(B) K2/(K2+R2)
(C) R2/ (K2+R2)
(D) (K2+R2) / R2.

GRAVITATION MULTIPLES.
GRAVITATION
Acceleration due to gravity
1. What is gravitational mass? It is:
(A) A gravitational force exerted by the body.
(B) Gravitational force experienced by the body.
(C) measure of the gravitational force experienced by
the body.
(D) measure of the gravitational exerted nor experienced
by the body.
2. The gravitational constant depends upon :
(A) size of the bodies.
(B) gravitational mass.

(C) distance between the bodies.
(D) none of the above factors
3. The acceleration due to gravity ( on earth) depends
upon :
(A) size of the body
(B) gravitational mass of the body.
(C) gravitational mass of the earth.
(D) none of the above factors.
4. The gravitational effect of which of the following
causes tidal waves in the sea?
(A) Earth.
(B) moon.

(C)Sun.
5. Suppose, the gravitational attraction of the earth,
suddenly disappears (do not ask how ) which of the
following statement will be true.
(A) Weight of the body will become zero but the mass
will remain unchanged.
(B) Weight of the body will remain unchanged but the
mass will become zero.
(C) Both mass as well as weight will be zero.
(D) Neither mass nor weight will be zero.

6. The gravitational force of earth on a ball one kilogram
is 9.8 N. The attraction of the ball on the earth is :
(A) 9.8 N.
(B) negligible
(C) slightly less than 9.8 N
(D) more than 9.8 N
7. If the gravitational mass of the body on the moon be
denoted by Mm and that on the earth by Me then :
(A) Mm = 1/6 Me.
(B) Mm = Me.
(C) Mm = √Me.
(D) Mm = 6 Me.

8. The length of simple pendulum for a given time
period is l. if the pendulum is taken to ta place where
acceleration due to gravity is doubled, then for the time
period to remain the same its length should be :
(A) 2l.
(B) l
(C) l/2.
(D) 1l4
9. The average magnitude of intensity of the gravitational
field on the surface of the earth in SI is about. :
(A) zero.
(B) 10

(C) 100
(D) more than 100.
10. One goes from the centre of the earth to an altitude
half the radius of the earth, where will the g be the
greatest?
(A) Center of the earth
(B) At a depth half the radius of the earth.
(C) At the surface of the earth.
(D) At an altitude equal to half the radius of the earth.
11. An elevator is rising vertically with an acceleration a.
The force exerted by a body of mass M on the floor of
the elevator is :

(A) Mg.
(B) Ma.
(C) Mg + Ma.
(D) Mg – ma.
12. A man is carrying a load to his own weight on his
head . if he jumps from root of a building , during his
fall , the weight experienced by the man will be :
(A) Zero
(B) W
(C) 2W

13. A boy is playing on a swing in sitting position . The
time period of oscillations of the swing is T. if the boy
stands up, the time period of oscillation of the spring
will be :
(A) T.
(B) Less than T.
(C) more than T.
(D) such as cannot be predicted.
14. Let ge and gp be the acceleration due to gravity on the
earth and a planet. The radius of the planet as well as
its mass is twice that of the earth. Which of the
following relations is true ?

(A) gp = 4ge.
(B) gp = 4ge.
(C) ge = 4gp.
(D) ge = 2gp.
15. You have given 32 identical balls all of equal weight
except 1 which is heaver than the others. You are
given a beam balance but no weight box. What is the
minimum number of weightings required to identify the
ball of different weight
(A) 3
(B) 4
(C) 5

(D) 6
16. Two bodies held one above the other at a distance of
50 cm are simultaneously released. What will be their
separation after 4 seconds of motion ?
(A) 2.0 m
(B) 1.0m
(C) 0.5 m
(D) 0.25.
17. Given that the acceleration due to gravity at a height h
is same as that at the depth d below the surface of
the earth. If both h and d are small as compared to the

radius of the earth. Then which of the following
relations is correct ?
(A) 2h = d.
(B) h= d
(C) h =2d.
(D) h = d2.
18. A body of mass M is raised from the surface of the earth
to an altitude equal to the radius of the earth . The
potential energy gained by he body will be :
(A) MgR/2
(B) MgR.
(C) 2MgR.

19. if the mass and radius of the planet are doubled then
acceleration due to gravity on its surface will become.
(A) one fourth
(B) one half.
(C) double
(D) four times.
20. if the radius of the earth decreases by 10% the mass
remaining unchanged, what will happen to the
acceleration due to gravity ?
(A) Decreases by 19%
(B) Increases by 19%

(C) Deceases by more than 19%
(D) increases by more than 19%
21. Two identical copper spheres each of radius R are in
contact with each other. If the gravitational attraction
between them is Fν then which of the following relations
is correct ?
(A) F ∝ R2.
(B) F ∝ R4.
(C) F ∝ 1/R2.
(d) F ∝ 1/R4.
22. Let g be acceleration due to the gravity on the earth’s
surface. The gain in the potential energy of an object

of mass m raised from surface of earth to a height
equal to radius R of the earth us.
(A) ½ mgR.
(B) 2mgR
(C) mgR.
(D) ¼ mgR.
SATELLITES
23. The synchronous satellite of earth orbits from :
(A) north to south in the polar plane.
(B) south to north in the polar plane.
(C) east to west in equatorial plane.
(D) west to east in equatorial plane.

24. What causes the tail of the comet ?
(A) Centrifugal force pushes away the gases/
(B) Lighter gases are left behind during the orbital
motion.
(C) Tail of the comet always exists but becomes
visible near the sun.
(D) The radiation pressure from the sun causes the
tail.
25. For a satellite to revolve very near to surface of the
earth., the orbital velocity should be about :
(A) 3 km s-1.
(B) 8 kms-1

(C) 11 kms-1.
26. A stationary satellite of a planet orbits at :
(A) any height.
(B) a definite height independent of its own mass.
(C) a height depending upon its own mass.
(D) a definite height independent of the mass of the
planet.
27. At What angle with the horizontal should a projectile
be fire from the top of Mount Everest, with the escape
velocity to enable it escape from gravitational pull of the
earth ?

(A) Less than 450.
(B) 450.
(C) More than 450.
(D) any angle.
28. A pendulum beats seconds on earth. Its time period on
a stationary satellite of the earth will be :
(A) zero.
(B) 1s.
(C) 2s.
(D) infinity.
29. As the radius of the satellite orbit increases , is time
period :

(A) decreases
(b)increases.
(C) remains constant
(D) first increases, becomes maximum for stationary
satellite and then decreases.
30. To pull in orbit, the satellite should be fired as a
projectile with
(a) escape velocity
(B) twice the escape velocity
(C) thrice the escape velocity.

31. The escape velocity for a body projected vertically
upwards from the surface of earth is 11 km/s. if the
body is projected of 450 with the vertical, the escape
velocity will be
(A) 11/√2 km/s.
(B) 11/√2 km/s.
(C) 22 km/s.
(D) 11 km/s.
32. When you move from equator to pole, the value to
acceleration due to gravity (g)
(A) increases.
(B) decreases.

(C) remains the same.
(D) increases then decrease.
33 The acceleration due to gravity on the planet A is 9
times the acceleration due to gravity on planet B. A man
jumps to a height of 2m on the surface of A. what is
the height of jump by the same person on the planet B
: (A) 18m.
(B)6m.
(C) 2/3 m
(D) 2/9 m.
34. Two spheres of masses m and M are situated in air
and the gravitational force between them is F The space

around the masses is now filled with a liquid of specific
gravity 3. the gravitational force will be now
(A) F.
(B) F/3.
(C) F/9.
(D) 3F.
35. The density of a newly discovered planet is twice that
of earth. The acceleration due to gravity at the surface
of the planet is equal to that at the surface of the earth.
If the radius of the earth is R, the radius of the planet
would be
(A) 4R.

(B) ¼ R
(C) ½ R
(D) 2R.
36. A satellite of mass m revolves around earth of radius
R at a height x from its surface. If g is the acceleration
due to gravity on the surface of the earth, the orbital
speed of satellite is
(A) gx.
(B) gR / (R-x)
(C) gR2 / ( R + x)
(D) [gR2 / ( R + x)]1/2.

37. Suppose the gravitational force varies inversely as
the nth power f distance . Then the time period of a
planet in circular orbit of radius ‘R’ around the sun will
be proportional to
(A) R [ (n+1) /2]
(B) R [ (n-1) / 2]
(C) Rn.
(D) R [(n-2) / 2]
38 To have an Earth satellite synchronous with the rotation
of the Earth, it must be launched at the proper
height moving
(a) from west to east in an equatorial plane

(b) from north to south in a polar plane
(c) from east to west in an equatorial plane
(d) from south to north in a polar plane.
39. Ve and Vp denote the escape velocities from the Earth
and another planet having twice the radius and the same
mean density as the Earth. Then
(a) Ve = Vp
(b)Ve= Vp /2
(c) Ve = 2Vp
(d) Ve = Vp/4
40 satellite is orbiting close to surface of the Earth. Its time
period is

(a) 2π (R / g)1/2
(b) 2π (2R / g)1/2
(c) 2π (R /2 g)1/2
(d) 2π (4R / g)1/2
41. If R is the radius of the Earth and g the acceleration due
to gravity on the Earth's surface, the mean density of the
Earth is
(a) 4πG/3gR
(b) 3πR/ 4gG
(c) 3g / 4π RG
(d) πRG/12

THERMODYNAMICS Multiples.
THERMODYNAMICS.
1. A process in which the heat content of the system
remains constant is called :
(A) isobaric.
(B) isochoric.
(C) Isothermal
2. Indicator diagram is a graph between :
(A) Pressure & temperature.
(B) Pressure & volume.
(C) volume & temperature.
(D) none of the above pairs.
3. Adiabatic is a graph between :

(A) V & T
(B) T & P
(C) P&V
(D) PV &T
4. The first law of thermodynamics is based on the first law
of conservation of :
(A) energy
(B) mass
(C) momentum
5. Isothermal is a process represented by the equation
(A) PV = a constant.
(B) P/V = a constant.

(C) P/T = a constant
(D) P/Vγ
= a constant.
6. In which of following processes all the three
thermodynamic variables , that is pressure , volume and
temperature can change ?
(A) Isobaric.
(B) Isothermal
(C) Isochoric.
(D) Adiabatic.
7. In which of the processes the internal energy of the
system remains constant.
(A) Adiabatic.
(B) Isochoric.
(C) Isobaric.

(D) Isothermal
8. Which of the following is NOT a reversible process ?
(A) Melting of ice.
(B) Conduction of heat
(C) Isothermal expansion of gas.
(D) Adiabatic expansion of gas.
9. Work done in an isothermal expansion of gas depends
upon :
(A) temperature alone.
(B) ratio of the initial and final volumes.
(C) both temperature and the ratio of initial and final
volumes.
(D) neither temperature nor ratio of initial and final
volumes.

10. What makes a cycle tube burst when left in the sun ?
(A) increase in volume
(B) increase of pressure
(C) increase of volume & pressure both.
(D) Neither increase of pressure nor that of volume.
11. What is the change in internal energy of an gas sample
over one complete cycle ?
(A) Positive
(B) Negative
(C) Zero.
(D) depends upon the nature of path
12. What is the value of dp/p for a adiabatic expansion of
the gas.
(A) dV/V

(B) –dV/V
(C) γdV/V
13. In which of the following processes the work done is
the maximum ?
(A) Isothermal
(B) Isobaric.
(C) Adiabatic.
(D) Isochoric.
14. During an adiabatic expansion of 5 moles of gas, the
internal energy decreases by 75J. The work done
during the process is :
(A) zero.
(B) 15J

(C) -75J
(D)+75 J
15. In a thermodynamic process with 2 moles of gas, 30 J
of heat is released and 22 J of work is done on the gas.
Given that the initial internal energy of the sample was
20J. What will be the final internal energy ?
(A) 72J
(B) 32J
(C) 28J
(D) 12J
16. A gas at pressure P has volume V. it is adibatically
compressed to V/32. if (32)1.4 = 128, what is the
pressure of gas.
(A) 128p

(B) 63p
(C)32p
(D) 16p
17. The ratio of the heat required to raise the
temperature of given volume of diamoic gas to that of
mono atomic gas through 5oC at constant volume is
:(A) 1
(B) 1.5
(C)2
18. Compressed air is contained in a cylinder at room
temperature. It suddenly start leaking through a hole.
Which of the following correctly describes the
behaviour of the gas coming out ?

(A) there is no change in its temperature.
(B) it gets cooler.
(C) it becomes hotter
(D) it may get cooler or become hotter.
19. The ratio of the relative rise in pressure for adiabatic
compression to that for isothermal compression is
(A) γ
(B) 1/γ
(C) 1-γ
(D)1/(1-γ)
20. What is the value of isothermal bulk modulus of an of
an ideal gas at one atmosphere pressure
(A) 1.01 x 1012 Nm-2 .
(B) 1.01 x 1010 Nm-2 .

(C) 1.01 x 106 Nm-2 .
(D) 1.01 x 105 Nm-2 .
21. During adiabatic expansion, the increase in volume is
associated with :
(A) increase in pressure and temperature
(B) decrease in pressure and decrease in temperature.
(C) increase in pressure and decrease in temperature
(D) decrease in pressure and increase in temperature.
22. The adiabatic bulk elasticity depends on
(A) pressure & volume
(B) volume and pressure
(C) atomicity & pressure

THERMOMETRY & CALORIMETRY & HYGROMETRY MULTIPLES
THERMOMETRY & CALORIMETRY
& HYGROMETRY.
1. What does Thermal motion mean ?
(A) Motion due to heat engine.
(B) disorderly motion of the body as a whole.
© Motion of the body that generates heat.
(D) Random motion of molecules.
2. Heat required to raise the temperature of one gram of
water through 10C is :
(a) 0.001 kcal
(B) 0.01 kcal.
(C) 0.1 kcal.
(D) 1.01 kcal.
3. The direction of flow of heat between the two bodies
is determined by [P.885- Q.6]
(a) kinetic energy
(B) total energy
(C) internal energy

4. Magnitude of joule’s mechanical equivalent of heat in
SI is :
(A) 4.2 x 107.
(B) 4.2 x 103.
(C) 4.2
(D) 1.
5. Taking the unit of work as joule and the unit of amount
of heat as kcal, the magnitude of joule’s
mechanical equivalence of heat is :
(A) 1
(B) 4.2
(C) 4.2 x 103.
(D) 4.2 x 107.
6. We need mechanical equivalent of heat because :
(A) it converts work into heat.
(B) in cgs system, heat is not measured in the units of
work
(C) in SI, heat is measured in the units of work.
(D) of some reason other than those mentioned above.

7. Two blocks of ice when pressed together join to form
one block. This happens because :
(A) melting point rises with pressure.
(B) melting point falls with pressure.
(C) heat is absorbed from outside.
(D) heat is rejected to outside.
8. What happens when pressure is raised on the surface
of water ?
(A) Boiling point increases and melting point decreases
(B) Boiling point decrease and melting point increases.
(C) Both boiling point as well as melting point
increase.
(D) both boiling point as well as melting point increase.
9. In the pressure cooker the cooking is faster because
the increase of vapour pressure.
(A) increases latent heat
(B) decreases latent heat.
(C) decreases boiling point.
(D) increases boiling point.

10. A liquid boils at a temperature. At which the pressure
of air on its surface is :
(A) equal to vapour pressure.
(B) less than the vapour pressure.
(C) more than the atmosphere.
(D) equal to 760 mm of HG.
11. A bottle of water at 0oC is opened on the surface of
moon. This of the following correctly expresses the
behaviour of water in it.
(A) it will freeze.
(B) it will decompose into H2 and O2.
(C) It will boil.
12. The running of fan makes us comfortable during
summer because it
(A) cools the air.
(B) increase the conductivity of the air.
(C) reduces the thermal radiations
(D) enhances the rate of evaporation of perspiration.

13. On which of the following laws , the constant volume
thermometer works.
(A) Boyle’s law
(B) Charle’s law
(C) Gay Lussac’s law
(D) Dalton’s law
14. The normal temperature of average human body is :
(A) 37oC
(B) 37oF.
(C) 37K.
15. Which of the following at 100oC produces most severe
burns.
(A) Hot air.
(B) Water.
(C) steam
(D) Oil.
16. Which types of energy is gained or lost by the
molecule when ice melts.
(A) kinetic energy is gained.

(B) kinetic energy is lost.
(C) potential energy is gained.
(D) potential energy is lost.
17. Why do we prefer water as the coolant in the radiators
of engines in the motor vehicles.
(A) low density.
(B) High thermal capacity.
(C) Low boiling point
(D) Easy availability
18. Air at the bottom temperature is saturated when 40 g
of water vapours are present in the room. If the actual
amount of water vapours present in the room be 20 g.
what is the relative humidity in the room ?
(A) 20%
(B) 40%
(C) 50%
(D) 80%
19. Relative humidity cannot have a value greater than :
(A) 0.2
(B) 0.5

(C) 0.8
(D) 1.0
20. Temperature remaining the same, we feel hotter on the
day when the relative humidity is :
(A) High
(B) low
(C) zero
(D) none of these.
21. The temperature inside a room is raised with the help
of an electric heater. What happens to the relative
humidity.
(A) increases
(B) Decreases.
(C) Unchanged.
(D) Cannot be predicted.
22. What should be the relative humidity in the air
conditioned room.
(A) less than 25%.
(B) Between 25 to 50%.
(C) between 50 to 60%

(D) Above 75%
23. Dew point depends upon :
(A) room temperature
(B) amount of water vapours per unit volume
(C) Volume of the air in the room.
24. Find the change in internal energy of the system when
a system absorbs 2 kilo –calorie of heat and at the
same time does 500 joules of work
(A) 7900 J.
(B) 8200 J
(C) 5600 J
(D) 6400 J
25. a body in a room cools from 85oC to 80oC in 5 seconds.
The time taken to cool from 80oC to 75oC
is :
(A) 5 minutes.
(B) less than 5 minutes.
(C) more than 5 minutes.
(D) may be less or more than 5 minutes.

26. Boling water is changing into steam. Under this
condition , the specific heat of water is :
(A) zero
(B) one
(C) infinite.
(d) less than one.
27. Two blocks of ice when pressed together join to form
one block because :
(A) of heat produced during pressing
(B) of cold produced during pressing
(C) melting point of the ice decreases with increases
of pressure
(D) melting point of ice increases with increases in
pressure.
28. One mole of an ideal gas requires 207 J heat to raise
the temperature by 10K when heated at constant
pressure. If the same gas is heated at constant volume
to raise the temperature by the same 10 K , the heat
required is
(A) 198.7 J.

(B) 29J
(C) 2215.3J
(D) 124 J
29. Which of the following is different from others.
(A) Wavelength
(B) Velocity
(C) Frequency
(D) Amplitude.
30. Alcohol is more volatile than water because
(A) its boiling point is less than water.
(B) it is a organic compound.
(C) its freezing point is less than water.
(D) its vapour pressure is 2.5 minutes higher than
water.

SIMPLE HARMONIC OSCILLATIONS MULTIPLES
Simple Harmonic Oscillations
1. The phase angle between the projections of
uniform circular motion on two mutually
perpendicular diameter are :
(A) zero
(B) π/2
(C) 3π/4
(D) π.
2. A particle executes SHM with a time period of 2s
and amplitude of 5 cm. Maximum magnitude of its
velocity is :
(A) 2.5 π cm- s-1.

(B) 5 π cm- s-1.
(C) 10 π cm- s-1.
(D) 20 π cm- s-1.
3. Time period of SHM is given by
T = 2π [displacement/acceleration] ½. When
displacement increases , the time period.
(A) increases
(B) decreases
(C) remains unchanged
(D) may increase or decrease.
4. The frequency of SHM is 100Hz. Its time period is
(A) 100s

(B) 1s
(C) 0.1 s
(D) 0.01s
5. if E is the total energy of the particle executing
SHM and ‘A’ be the amplitude of the vibratory
motion, then E and ‘A’ are related as
(A) E∝ A
(B) E∝ 1/A
(C) E∝ A2.
(D) E∝ 1/A2.
6. The angle between the instantaneous velocity
and the acceleration of a particle executing SHM i

(a) zero
(B) π/2
(C) π
(D) zero or π.
7. The force constant of SHM is measured in
(a) Nm
(B) Nm-1.
(C)N
(D) some either unit.
8. the dimensions of (force constant / mass) ½. are
the same as that
(A) acceleration

(B) angular acceleration
(C) angular velocity
(D) velocity
9. The relation between velocity and amplitude ‘ν’
the displacement amplitude ‘A’ and the angular
frequency ‘ω’ of SHM is
(A) A = ων
(B) ν = ωA
(C) A = ω2ν
(D) ν = ω2A.
10. The relation between the acceleration amplitude

‘a’ the displacement amplitude ‘A’ and the angular
frequency ω of SHM is
(A) A = ωa
(B) a = ωA
(C) A = ω2a
(D) a = ω2A.
11. A mass is attached to a vertically held light spring.
The spring extends by 1mm due to the weigh of
the mass. The time period of oscillations of the
mass will be.
` (A) 1
(B) π

(C) 2π
12. A particle executes simple harmonic motion on a
straight line path. The amplitude of oscillation is
2cm. When the displacement of the particle from
the mean position is 1cm, the magnitude of its
acceleration is equal tot hat of its velocity. The
time period in seconds of simple harmonic motion
is
(A) 2π√3
(B) 2π / √3
(C) √3/2π

(D) 1/2π√3
13. Two springs of force constants k1 & k2 are
connected in series. The spring constant of the
combination is
(A) k1+k2.
(B) (k1+k2.) /2
(C) (k1+k2.) / k1k2.
(D) k1k2./ k1+k2.
14. Two springs of force constants k1 & k2 are
connected to each other in parallel . The spring
constant of the combination is :
(A) k1+k2.

(B) (k1+k2.) /2
(C) (k1+k2.) / k1k2.
(D) k1k2./ k1+k2.
15. The graph between time period & length of a
simple pendulum is :
(A) straight line
(B) curve
(C) ellipse
(D) parabola
16. A tunnel is bored along the diameter of the earth
and a stone is dropped into it. What happens to
the stone?

(A) it oscillates between the two ends of the
tunnel,
(B) it comes to rest at the centre of the earth.
© it will go out of the other end of the tunnel.
(D) it will come to a permanent stop at the other
end of the tunnel.
17. A pendulum is suspended from the ceiling of the
compartment of a train. When the train is
stationary , the time period of the pendulum is T.
if the train accelerates, how will the time period of
the pendulum change?
(A) it will increase

(B) it will decrease
© it will remains unchanged
(D) pendulum will not oscillate.
18. A pendulum beating seconds is taken from the
earth to a planet having both the mass and radius
half as compared to the earth. The time period of
the pendulum will be ‘
(A) √2 second
(B) 1seond
(C) 2 second
(D) 4 second.

19. A particle executes simple harmonic motion along
a straight line path. Its amplitude is A. The
potential energy of the particle is equal to the
kinetic energy, when the displacement of the
particle from the mean position is :
(A) zero
(B) ± A/2
(C) ± A/√2
(D) ± A
20. The potential energy of particle executing SHM
varies sinusoidal . if the frequency of the

oscillation of the particle is n, that of potential
energy is:
(A) n/2
(B) 1/√2
(C) n
(D) 2n.
21. A particle executes SHM. Its instantaneous
acceleration is given by a = -px, where p is a
constant and x is displacement from the mean
position. The angular frequency of the particle is
given by
(A) √p

(B) 1/√p
(C)p
(D) 1/p.
22. a mass m is attached to two springs of same
force constants, in accordance with the following
four configurations Answer the question given
below. Let T1,T2,T3,T4 respectively be the time
period in the configurations (i),(ii),(iii) &(iv).
In which case the time period is largest
(A) (i)
(B) (ii)

(C) (iii)
(D) (iv)
23. Two pendulums oscillates with a constant phase
difference of 900. if the time period of one is T, that
other will be
(A) T/2
(B)T
(C) 2T
(D) 4T.
24. Two pendulums oscillates with a constant phase
difference of 900. and same amplitude. The

maximum velocity of one is ν. The maximum
value of the other will be
(A) ν
(B) √2ν
(C) 2ν
(D) ν/√2.
25. The energy of the particle executing damped
oscillations decreases with time, because work is
done against
(A) restoring force
(B) elastic tension
(C) frictional force

(D) both restoring force & friction
26. What determines the frequency of natural
oscillations of system?
(A) inertia alone
(B) Elasticity alone
(C) Both inertia & elasticity
(D) Neither inertia nor elastic.
27. A particle starts from rest at time t1 & moving on
a straight line path again comes to rest at of time
t2. which of the followings statements about the
nature of the following statement about the nature
of motion is correct?

(A) motion may simple harmonic
(B) motion must be periodic
© motion cannot be oscillatory
(D) time acceleration cannot change direction
with time.
28. a particle is executing SHM of time period 4
seconds. What time will take in going from y =0
to y= half of the amplitude.
(A) 1 second
(B) 1/3 second
(C) 1/5 second
(D) 1/9 second.

29. The time period of a SHM is 16 seconds . it starts
its motion from the equilibrium position. After two
seconds its velocity if π m/s.What is its
displacement amplitude?
(A) √2 m
(B) 2√2m
(C) 4√2 m
(D) 8√2m
30. The angular frequency and amplitude of a simple
pendulum are ω and A respectively. At the
displacement y from the mean position, the kinetic

energy is K and potential energy is U. what is the
ratio of K/U?
(A) MA2ω2sin2ωt.
(B) MA2ω2cos2ωt.
(C) (A2 –y2)/y2.
(D) y2 / (A2 –y2).
31. A tunnel is made along a chord inside the earth
and a ball is released in it. What will be the time
period of oscillation of the ball?
(A) 2π√(R/2g)
(B) 2π√(R/g)
(C) 2π√(2R/g)

(D) π√(R/g)
32. if the length of a pendulum is quadrupled , its time
period is :
(A) quadrupled
(B) halved
(C) doubled
(D) unchanged.
33. The maximum energy of the particle executing
SHM with amplitude A is E. what will be its
potential energy at displacement y = A/2.
(A) 0.25 E
(B) 0.50 A

(C)0.71 A
(D) 0.86 A.
34. what is the nature of graph between displacement
9y) and acceleration of SHM.
(A) straight line
(B) parabola
(C) hyperbola
(D) Ellipse.
35. if the watch with a wound spring is taken to the
moon, it
(A) runs faster
(B) runs slower

(C) does not work
(D) shows no change.
36. A body executes S.H.M. with an amplitude A. At
what displacement from the mea position is the
potential energy of the body is one fourth of its
total energy?
(A) A/4
(B) A/2
(C) 3A/4
(D) some other fraction of A.
37. a particle moves such that its acceleration , a is
given by a = -bx, where x is displacement from

equilibrium position and b is a constant. The
period of oscillations is
(A) 2π/√b
(B) 2π/√b
(C) 2π/b
(D) 2√(π/b).
38. A simple harmonic motion has an amplitude A and
time period T. the time period required by it to
travel from x =A to x =A/2 is :
(A) T/6
(B) T/4
(C) T/3

(D) T/2.
39. A man is standing at a spring platform .reading of
spring balance is 60 kg wt. if man jumps outside
platform , then reading of spring balance
(A) first increases then decreases to zero.
(B) decreases
(C) increases
(D) remains same.
40. the total energy of simple harmonic motion is E.
what will be the kinetic energy of the particle
when displacement is half of the amplitude
(A) (3/4)E

(B) E/2`
(C) E/4
(D) E/3.
41. A simple pendulum of length l is suspended from
the roof of a train which moves in a horizontal
direction with an acceleration a. Then the time T
is given by
(A) 2π√(1/g)
(B) 2π √[l/ √(a2+g2)]
(C) 2π √[l+(g+a)]
(D) 2π √[l/(g-a)]

42. if the spring is extend to length l, then according
to Hooke’s law
(A) F = kl
(B) F =k/l
(C) F = k2l
(D) F = k2/l
43. The P.E. of a particle executing S.H.M. at a
distance x from its equilibrium position is
(A) ½ mω2x2.
(B) ½ mω2a2.
(C) ½ mω2 (a2-x2)
(D) zero.

44. The frequency of LC circuit is
(A) (1/2π) √LC
(B) 1/2πLC
(C) (1/2π) √(L/C)
(D) (1/2π) 1/√LC
45. The time period of a simple pendulum is 2
seconds, if its length is increased by 4 times ,
then its period becomes
(A) 16S
(B) 12 s
(C) 8s
(D) 4s.

46. To make the frequency double of an oscillator , we
have to
(A) double the mass
(B) half the mass
© quadruple the mass
(D) reduce the mass to one-fourth.
47. in a simple harmonic motion (SHM) which of the
following does not hold.
(A) The force on the particle is maximum at the
ends.
(B) The acceleration is minimum at the mean
position

© The potential energy is maximum at the mean
position
(d) the kinetic energy is maximum at the mean
position
48. a body executing SHM has amplitude of 4 cm.
what is the distance at which the body has equal
value of both K.E. and P.E.
(A) 2√2 cm
(B) 1/√2 cm
(C) √2 cm
(D) √2/6 cm

49. A spring of spring constant K is halved then the
new constant is
(A) 2K
(B) K/2
(C) 4K
(D) K/4
50. A spring is vibrating with frequency n under some
mass. If it is cut into two equal parts and same
mass is suspended then the frequency is
(A) n/2
(B) n
(c) n√2

(D) n/√2
51. If the equation of an SHM is : y = a sin (4πt +φ)
how much is its frequency
(A) 2
(B) ½
(C) 2π
(D) 1/2π
52. The total energy of particle performing SHM
depend on
(A) k,A,m
(B) k , A
(C) k, A, x

(D) k, x.
53. A child is sitting on a swing . its minimum &
maximum heights from the ground are 0.75 m
and 2 m respectively . its maximum speed will be
(A) 10m/s
(B) 5 m/s.
(C) 8 m/s.
(D) 15m/s.
54. if a spring has time period T, and is cut into n
equal parts , then the time period of each part will
be
(A) T√n

(B) T /√n
(C) nT
(D) T.
55. What fraction of the total energy is kinetic energy
when the displacement is one half of the
amplitude?
(A) 1/8
(B) ½
(C) ¼
(D) ¾

56. When the displacement is one half the amplitude
in S.H.M., the fraction of the total energy that
potential energy is
(A) ½
(B) ¾
(C) ¼
(D) 1/8
(E) 1/6
57. if the displacement equation of a particle be
represented by y = A sinpt + B cos pt, the particle
executes
(A) a uniform circular motion

(B) a uniform elliptical motion.
© a SHM
(D) a rectilinear motion.
58. A spring mass system oscillates with a frequency
ν. If it is taken in an elevator slowly accelerating
upward , the frequency will
(A) increase
(B) decrease
(C) remains same
(D) become zero
59. Time period o a simple pendulum will be double, if
the length will

(A) decreases two times
(B) decreases four times
© increases four times
(D) increases two times.
60. Energy of simple harmonic motion depends upon
(A) a
(B) 1/a2.
(C) 1/a2.
(D) a2.

Doppler’s effect, Musical sounds & Accoustics Multiples.
Doppler’s Effect, Musical Sounds
and Accoustics of buildings.
1. When both source and listener move in the
same direction with a velocity of sound, the change
in
frequency of the sound as detected by the
listener is :
(a) zero
(b) 25%
(c) 50%

2. The velocity of sound is 330 ms-1. To hear a
sound with 50% higher frequency , a listener
should move towards the stationary source with
a velocity equal to :
(a) 330 ms-1.
(b) 220 ms-1.
(c) 165 ms-1.
(d) 110 ms-1.
3. The wavelength of the sound produced by a
source 0.8m. if the sound moves towards the
stationary listener a 32 ms-1. what will be the

apparent wavelength of the sound? The velocity
of sound is 320 ms-1.
(a) 0.32m
(b) 0. 40 m
(c) 0.72 m
(d) 0.80m
4. A source of sound moves toward a stationary
listener with a velocity equal to half the velocity
of sound. If the actual frequency of the sound
produced by the source be f. then the change in
he frequency is :
(a) f/4

(b) f/2
(c)f
5. The frequency of the waves emitted from a
radar is 750 MHz. The frequency of the waves
reflected from the aeroplane as observed at the
radar station is increased by 2.5 kHz. What Is
the speed of the aero plane.
(a) 4 kms-S1.
(b) 2 kms-S1.
(c) 1 kms-S1.
(d) 0.5 kms-S1.

6. The persistence of sound in a hall is called
(a) resonance
(b) acoustics
(c) reverberation
(d) articulation
7. which of the following does not affect the
reverberation time ?
(a) Size of auditorium
(b) frequency of the sound
© nature of the walls
(d)area of the walls, ceiling and the floor

8. The sound waves of frequency more than 20 khz
are termed as
(a) supersonic
(b) audible
(c) infrasonic
(d) ultrasonic.
9. Pitch of a note depends upon :
(a) frequency
(b) intensity
(c) amplitude

10. Loudness of a note increases with the increases
in
(a) amplitude
(b) wavelength
(c) quality
11. Which of the following does not have a
subjective existence.
(a) Loudness
(b) intensity
(c) pitch
(d) Timbre.

PHYSICS MCQS FOR IIT JEE NEET IAS SAT MAT Multiple Choice Questions Answers Fully Solved IITJEE main advanced Trust Education

PHYSICS MCQS FOR IIT JEE NEET IAS SAT MAT Multiple Choice Questions Answers Fully Solved IITJEE main advanced Trust Education

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PHYSICS MCQS FOR IIT JEE NEET IAS SAT MAT Multiple Choice Questions Answers Fully Solved IITJEE main advanced Trust Education