LEVEL # 1

Questions Q.8 When we jump out a boat standing in water

based on General concept
it moves-
Q.1 The Newton's laws of motion are valid in- (A) forward (B) backward
(A) inertial frames (C) side ways (D) none of these
(B) non-inertial frames
(C) rotating frames Q.9* A man is at rest in the middle of a pond on
(D) accelerated frames perfectly smooth ice. He can get himself to
the shore by making use of Newton's-
Q.2 The incorrect statement about Newton's
(A) first law (B) second law
second law of motion is-
(A) it provides a measure of inertia (C) third law (D) all the laws
(B) it provides a measure of force
(C) it relates force and acceleration
(D) it relates momentum and force Q.10* You are on a friction less horizontal plane.
How can you get off if no horizontal force is
Q.3 Newton's third law is equivalent to the- exerted by pushing against the surface ?
(A) law of conservation of linear momentum (A) by jumping
(B) law of conservation of angular momentum (B) by spitting or sneezing
(C) law of conservation of energy
(C) by rolling your body on the surface
(D) law of conservation of energy and mass
(D) by running on the plane
Q.4 We can derive Newton's-
(A) second and third laws from the first law Q.11 Swimming is possible on account of -
(B) first and second laws from the third law (A) first law of motion
(C) third and first laws from the second law (B) second law of motion
(D) All the three laws are independent of each
(C) third law of motion
others
(D) Newton's law of gravitation
Q.5 Ratio of intertial mass to gravitational mass
is- Q.12* A boy sitting on the top most berth in the
(A) 1 : 2 (B) 1 : 1 compartment of a train which is just going to
(C) 2 : 1 (D) No fixed number stop on a railway station, drops an apple
Q.6 A rider on horse back falls when horse starts aiming at the open hand of his brother sitting
running all of a sudden because- vertically below his hands at a distance of
(A) rider is taken back about 2 metre. The apple will fall-
(B) rider is suddenly afraid of falling
(A) precisely on the hand of his brother
(C) inertia of rest keeps the upper part of
body at rest where as lower part of the (B) slightly away from the hand of his brother
body moves forward with the horse in the direction of motion of the train
(D) None of the above (C) slightly away from the hand of his brother
Q.7 A man getting down a running bus, falls in the direction opposite to the direction
forward because- of motion of the train
(A) due to inertia of rest, road is left behind (D) none of the above
and man reaches forward
(B) due to inertia of motion upper part of Q.13 The incorrect relation is-
body continues to be in motion in
dv
forward direction while feet come to rest (A) F = ma (B) F = m
dt
as soon as they touch the road
dp
(C) he leans forward as a matter of habbit (C) F = (D) F = mv
(D) of the combined effect of all the three dt
factors stated in (A), (B) and (C)

66
Q.14 A heavy block of Q.19 A force of 10 Newton acts on a body of mass
mass m is supported C 20 kg for 10 seconds. The change produced
by a cord C from the in momentum is given by-
ceiling, and another (A) 5 kg m/sec (B) 100 kg m/sec
cord D is attached to (C) 200 kg m/sec (D) 2000 kg m/sec
the bottom of the
block. If a sudden Q.20* A car travelling at a speed of 30 kilometer
jerk is given to D, per hour is brought to a halt in 8 metres by
then- applying brakes. If the same car is travelling
(A) cord C breaks at 60 km per hour, it can be brought to a halt
(B) cord D breaks with same braking power in-
(C) cord C and D both break (A) 8 metres (B) 16 metres
(D) none of the cords breaks (C) 24 metres (D) 32 metres

Q.15 ABCD is a rectangle Q.21 A bullet of 5 g, travelling at a speed of

forces of 9N, 8N, 3N 100 m/s penetrates a wooden block up to
act along the lines 6.0 cm. Then the average force applied by
DC, CB and BA, re- the bullet on the block is-
spectively, in the di- (A) 417 N (B) 8333 N
rections indicated by (C) 83.3 N (D) zero
the order of the let-
ters. Then the resultant force is Q.22* A force-time graph for a linear motion is shown
(A) 8 N (B) 5 N in figure where the segments are circular.
(C) 20 N (D) 10 N The linear momentum gained between zero
and 8 seconds in -
Q.16 The forces
acting on an
Force Newton

+2
object are shown
in the fig. If the
Time
body moves 2 4 6 8
(sec)
horizontally at a –2
constant speed
of 5 m/s, then the values of the forces P and
S are, respectively - (A) – 2 N.s (B) 0 N.s
(A) 0 N, 0 N (B) 300 N, 200 N (C) 4 N.s (D) – 6  N.s
(C) 300 N, 1000 N (D) 2000 N, 300 N
Q.23* A particle moves in the xy plane under the
Q.17 A person says that he measured the action of a force F such that the value of
acceleration of a particle to be non-zero while its linear momentum (P) at any time t is,
no force was acting on the particle- Px = 2 cost, Py = 2 sint. The angle  between
(A) He is a lier P and F at that time t will be -
(B) His clock might have run slow (A) 0º (B) 30º
(C) His meter scale might have been longer (C) 90º (D) 180º
than the standard
(D) He might have non-inertial frame Q.24 The linear momentum P of a body moving in
one dimension varies with time according to
Questions the equation P = at3 + bt where a and b are
based on
Second Law & Third Law
positive constants. The net force acting on
Q.18 When a 1 Newton force acts on a 1 kg body the body is
that is able to move freely, the body receives- (A) proportional to t2
(A) A speed of 1 m/sec (B) a constant
(B) An acceleration of 1 m/sec 2 (C) proportional to t
(C) An acceleration of 980 cm/sec 2 (D) inversely proportional to t
(D) An acceleration of 1 cm/sec2
67
Q.25 A player catches a ball of 200 g moving with
m1
a speed of 20 m/s. If the time taken to (A) m g
complete the catch is 0.5 sec, the force 2

exerted on the players hand is - m2

(A) 8 N (B) 4 N (B) m g
1
(C) 2 N (D) 0 N
 m 2  m1  m1
Questions
Motion of the Blocks (C)  m  m  g
based on  1 2 m2
Q.26 Blocks are in contact on a frictionless table.
 m1  m 2 
A horizontal force F = 3N is applied to one (D)  m  m  g
block as shown. The force exerted by the  2 1

smaller block m 2 on block m 1 is-

Q.30 Two bodies of 5 kg and 4 kg are tied to a
m1 = 2kg string as shown in the figure. If the table and
m2 = 1kg pulley both are smooth, acceleration of 5 kg
F
body will be equal to-
4kg
T
(A) 1 N (B) 2 N
(C) 3 N (D) 6 N
Q.27 Three block are connected as shown, on a T
horizontal frictionless table and pulled to the
right with a force T3 = 60 N. If m 1 = 10 kg, 5kg
m2 = 20 kg and m 3 = 30 kg, the tension (A) g (B) g/9
T2 is- (C) 4g/9 (D) 5g/9
m3
m2
m1 T T3 Q.31 Three equal weights A, B, C
1 T2
 of mass 2 kg each are
hanging on a string passing
over a fixed frictionless
(A) 10 N (B) 20 N
pulley as shown in the fig.
(C) 30 N (D) 60 N The tension in the string
connecting weights B and C
Q.28* A block of mass M is pulled along a A B
is-
horizontal frictionless surface by a rope of (A) zero C
mass m. A force P is being applied to one (B) 13 Newton
end of the rope, the force that the rope (C) 3.3 Newton
(D) 19.6 Newton
exerts on the block M is-
Q.32 Two bodies of mass 0.3
 M   m  kg and 0.4 kg are tied to
(A)  P (B)  P
Mm Mm the ends of a weightless
string which passes over a
Mm Mm a smooth pulley as 
(C)  P (D)  P 
shown in the figure. The T  T
 m   M  a
tension in the string is-
(A) 3.06 Newton 0.3kg
Q.29 Two masses are hanging vertically over (B) 3.36 Newton
(C) 4.05 Newton 0.4kg
frictionless pulley. The acceleration of the two
masses is- (D) 3.0 Newton

68
Q.33* A block of mass m 1 = 2 kg on a smooth Q.37 A block of mass m is placed on a smooth
inclined plane at angle 30º is connected to a wedge of inclination . The whole system is
second block of mass m 2 = 3 kg by a cord accelerated horizontally so that the block
passing over a frictionless pulley as shown does not slip on the wedge. The force
in figure. The acceleration of each block is- exerted by the wedge on the block has
(Assume g = 10 m/sec2) magnitude -
(A) mg (B) mg/cos 
(C) mg cos  (D) mg tan 

m1 Q.38* Two objects A and B of masses T1

m2 m A and m B are attached by A mA
strings as shown in fig. If they
º T2
are given upward acceleration,
then the ratio of tension T1 : T2 B m
B
(A) 2 m/sec2 (B) 4 m/sec2 is -
(C) 6 m/sec2 (D) 8 m/sec2 (A) (m A + m B)/m B (B) (m A + m B)/m A
m A  mB m A  mB
(C) m  m (D) m  m
Q.34 A body floats in A B A B

liquid contained in a Q.39 If the arrangement in fig is given a downward

beaker. If the whole acceleration (a) then the ratio of tensions T 1
system as shown in and T 2 in strings, is - T1
figure falls under (A) (m A + m B)/m B
A mA
gravity then the (B) (m A + m B)/m A
T2
upthrust on the body m A  mB
is- (C) m  m B mB
A B
(A) 2 mg (B) zero
(D) None of these
(C) mg (D) less than mg
Q.40 In given figure find out the acceleration of
Q.35 Two blocks are connected by a cord passing
any of the particle-
over a small frictionless pulley and resting on
(A) (1/2)g
frictionless planes as shown in the figure The
accleration of the blocks is- (B) g
(C) (1/3) g
(D) (1/4) g
A
kkgg 5500
0
1000 kkgg
1

37° 53°
Q.41 In the figure a smooth pulley of
negligible weight is suspended by
(A) 0.33 m/s2 (B) 0.66 m/s2 a spring balance. Weights of 1kg
(C) 1 m/s2 (D) 1.32 m/s2 and 5 kg are attached to the
opposite ends of a string passing
over the pulley and move with
Q.36 A thief stole a box full of valuable articles of acceleration because of gravity.
weight W and while carrying it on his back, During the motion, the spring
he jumped down a wall of height h from the balance reads a weight of -
ground. Before he reached the ground, he (A) 6 kg
experienced a load of (B) less than 6 kg
(A) 2W (B) W (C) more than 6 kg
(C) W/2 (D) zero (D) may be more or less than 6 kg

69
Questions
Q.48* A body of mass 5 kg is suspended by the
based on
Motion of the lift strings making angles 60º and 30º with the
horizontal -
Q.42 A lift moves downwards with an acceleration
a . A passenger in the lift drops a book. The T2
acceleration of the book with respect to the T1
floor of lift is- (assume acceleration due to 60º ( 5kg ) 30º
gravity = g)
(A) g (B) a (a) T1 = 25 N (b) T 2 = 25 N
(C) g – a (D) g + a
(c) T1 = 25 3 N (d) T 2 = 25 3 N
Q.43* The ratio of the weight of a man in a stationary (A) a, b (B) a, d
lift and in a lift accelerating downwards with (C) c, d (D) b, c
a uniform accleration 'a' is 3:2. The acceleration
of the lift is-
Q.49 A block D R
(A) g/3 (B) g/2
weighing 300 kg
(C) g (D) 2g
is suspended by 45º
Q.44 A lift is moving up with an acceleration of means of two
3.675 m/sec2. The weight of a man- cords A and B as
(A) increases by 37.5% 90º
shown in the W
(B) decreases by 37.5% figure. W is a A
(C) increases by 137.5% vertical wall and D 300 kgf
(D) remains the same
R a horizontal
Q.45 If the tension in the cable supporting an rigid beam. The
elevator is equal to the weight of the elevator, tension in the string A in kg is-
the elevator may be - (A) zero (B) 150
(a) going up with increasing speed (C) 300 (D) 400
(b) going down with increasing speed Q.50 Two weights of 15 kg each are attached by
(c) going up with uniform speed means of two strings to the two ends of a
(d) going down with uniform speed spring balance, as shown in the diagram.
(A) a, d (B) a, b, c The pulleys are frictionless. The reading of
(C) c, d (D) a, b the balance would be-
Q.46 The mass of a lift is 600 kg and it is moving
upwards with a uniform acceleration of 2 m/s2.
Then the tension in the cable of the lift is-
(A) 7080 N (B) 5880 N
(C) 4680 N (D) zero N

Questions
based on
Equilibrium of the System
(A) zero (B) 15 kg
Q.47 A metal sphere is hung by a string fixed to (C) 30 kg (D) 75 kg
a wall. The forces acting on the sphere are
shown in fig. W hich of the following Q.51 As an inclined plane is made slowly
statements is/are correct? T horizontal by reducing the value of angle 
 with horizontal. The component of weight
N
 parallel to the plane of a block resting on the
(a) N + T + W = 0 inclined plane-
(b) T 2 = N2 + W 2 (A) decreases
(c) T = N + W (B) remains same
W
(d) N = W tan  (C) increases
(A) a, b, c (B) b, c, d (D) increases if the plane is smooth
(C) a, b, d (D) a, b, c, d

70
 LEVEL # 2
Q.1 The linear momentum P of a body varies with
time and is given by the equation P = x + yt2, Q.7* A weight W is tied
where x and y are constants. The net force to two strings
passing over the  
acting on the body for a one dimensional
motion is proportional to- frictionless pulleys A B

(A) t2 (B) a constant A and B as shown

(C) 1/t (D) t in the figure. If
P Q
weights P and Q
Q.2 Two blocks of masses m 1 and m 2 are move downwards W
connected by a light spring and put on a with speed v, the
horizontal frictionless table. The ratio of their weight W at any
acceleration after they are pulled apart and instant rises with the speed-
then released, is- (A) v cos  (B) 2v cos 
(A) m 1 /m 2 (B) m 2/m 1 (C) v/cos  (D) 2v/cos 

m1  m 2 4m1m2
(C) m  m (D) Q.8 A mass is suspended from the roof of a car
1 2 (m1  m 2 )2
by a string. While the car has a constant
300 kgf acceleration a, the string makes an angle of
Q.3* A rope of legth L is pulled by a constant
60º with the verticle . If g = 10 m/s2, the
force F. What is the tension in the rope at
a distance x from the end where the force value of a is-
is applied ? (A) 10(3)1/2 m/s2 (B) 10/(3)1/2 m/s2
(C) 5 m/s 2 (D) 5(3)1/2 m/s2
Fx L
(A) (B) F
Lx Lx
(C) FL/x (D) F(L – x)/L Q.9* Two blocks are in
contact on a 2m
Q.4 A spring toy weighing 1 kg on a spring m
frictionless table
balance suddenly jumps upward. A boy F
one has a mass
standing near the toy notices that the scale
m and the other
of the balance reads 1.05 kg. In this process
2m. A force F is
the maximum acceleration of the toy is -
(g = 10 m sec–2) applied on 2m as shown is Figure. Now the
(A) 0.05 m sec–2 (B) 0.5 m sec–2 same force F is applied on m. In the two
(C) 1.05 m sec–2 (D) 1 m sec–2 cases respectively the ratio of force of contact
between the two blocks will be-
Q.5 The acceleration with which an object of (A) 1 : 1 (B) 1 : 2
mass 100 kg be lowered from a roof using a
(C) 1 : 3 (D) 1 : 4
cord with a breaking strength of 60 kg weight
without breaking the rope is-
Q.10 In the figure at the free
(assume g = 10 m/sec2)
end a force F is applied to
(A) 2 m/sec2 (B) 4 m/sec2
2 keep the suspended
(C) 6 m/sec (D) 10 m/sec2
mass of 18 kg at rest.
The value of F is-
Q.6 A girl, of weight W, is sitting on an electric
swing rotating in a vertical plane. She feels (A) 180 N
her weight to have increased by 25% as the (B) 90 N F
F

swing goes up. What weight she would

experience when the swing comes down ? (C) 60 N 18kg
18kg

(A) 3/2 W (B) 5/4 W (D) 30 N

(C) 3/4 W (D) W/2

71
Q.11* Figure shows a uniform rod of mass 3 kg
and of length 30 cm. The strings shown in pp1 1
figure are pulled by constant forces of 20 N
gg
and 32 N .The acceleration of the rod is- 44kk
pp22
10cm 20cm
A B 30º
º

12 kg
12kg

g 56g 2g 60g
(A) , N (B) , N
10 5 7 17
 20N 32N  10 5 g 5
(C) g , 56g N (D) 14 , 56g N
(A) 2 m/s2 (B) 3m/s2
Q.16 In fig, a mass 5 kg slides without friction on
(C) 4 m/s2 (D) 6 m/s2 an inclined plane making an angle 30º with
the horizontal. Then the acceleration of this
Q.12 In the above question tension in rod at a mass when it is moving upwards, the other
distance 10 cm from end A is- mass is 10 kg. The pulleys are massless
(A) 18 N (B) 20 N and frictionless. Take g = 10 m/sec 2.-
(C) 24 N (D) 36 N

Q.13 A balloon of mass M and a fixed size starts

coming down with an acceleration f (f < g). 10kg
g
The ballast mass m to be dropped from the 5k
ballon to have it go up with an acceleration 30º 10g
f. Assuming negligible air resistance is find
the value of m (A) .33 m/sec2 (B) 3.3 m/sec2
(C) 33 m/sec2 (D) None of these
 M  Mf
(A)  g  f  f (B) 2(g  f ) Q.17 Two masses m 1 and m 2 are connected by
 
light string, which passes over the top of a
smooth plane inclined at 30º to the horizontal,
 2Mf  M(g  a)
(C)  g  f  (D) g
so that one mass rests on the plane and the
  other hangs vertically as shown in fig. It is
found that m 1, hanging vertically can draw
m2 up the full length of the plane in half the
Q.14 A conveyor belt is moving horizontally with a
time in which m 2 hanging vertically draws m 1
uniform velocity of 2 m/sec. Material is dropped up. Find m 1 /m 2 . Assume pulley to be
at one end at the rate of 5 kg/sec and smooth-
discharged at the other end. Neglecting the
friction, the power required to move the belt is-
(A) 10 watts (B) 15 watts
m
m22
(C) 20 watts (D) 40 watts
m11
Q.15 Calculate the acceleration of the masses 30º
º
12 kg shown in the set up of fig. Also
calculate the tension in the string connecting 2 3
the 12 kg mass. The string are weightless (A) (B)
3 2
and inextensible, the pulleys are weightless
and frictionless- 4 7
(C) (D)
7 4
72
Q.18 Two blocks of 7 kg and 5 kg 200N sideofthe triangular block. What horizontal
are connected by a heavy acceleration a must M have relative to the
7kg
rope of mass 4 kg. An stationary table so that m remains stationary
upward force of 200N is P
with respect to the triangular block [M = 9
4kg
applied as shown in the kg, m = 1 kg]
diagram. The tension at the 5kg (A) 2.8 m/s2 (B) 5.6 m/s2
top of heavy rope at point P (C) 8.4 m/s2 (D) Zero
is: (g = 10 m/s2)
(A) 2.27 N (B) 112.5 N Q.22 In the arrangement of figure assume
(C) 87.5 N (D) 360 N negligible friction between the blocks and
table. If F the pulling force and m 1 and m 2
Q.19 Two blocks of masses 2.9 kg the masses are known, then the tension in
and 1.9 kg are suspended from s the string is–
a rigid support S by two A m2
inextensible wires each of 2.9 kg.

length 1 m. The upper wire m1 F

B
has negligible mass and the
lower wire has a uniform mass 1.9 kg.
(A) m 1F/ (m 1 + m 2)
of 0.2 kg/m. Thewhole
system of block, wire and (B) 2m 1F / (m 1 + m 2)
support have an upward acceleration of 0.2 m/ (C) 2m 1F/ (4m 1 + m 2)
s2. g = 9.8 m/s2. The tension at the mid-point (D) None of the above
of lower wire is-
(A) 10 N (B) 20 N Q.23 An empty plastic box of mass m is found to
(C) 30 N (D) 50 N
accelerate up at the rate of g/6, when placed
deep inside water. How much sand should
Q.20* Body A is placed on frictionless wedge
be put inside the box so that it may
making an A accelerate down at the rate of g/6 ?
angle  with
the horizon. (A) 2m/3 (B) 2m/5
The horizontal  (C) m/5 (D) 6m/7
acceleration
(
towards left to Q.24 A body of mass 8 kg is hanging from another
be imparted to body of mass 12 kg. The combination is
the wedge for the body A to freely fall
being pulled up by a string with an acceleration
vertically, is-
of 2.2 m/sec2. The tension T1 will be -
(A) g sin  (B) g cos 
(C) g tan  (D) g cot  T1


12kg
Q.21 A triangular block a
)

60º m T2
of mass M with
M 8kg
angle 30º, 60º,
90º rests with its 90º
30º (
30º– 90º side on
(A) 260 N (B) 240 N
a horizontal smooth fixed table. A cubical
(C) 220 N (D) 200 N
block of mass m rests on the 60º – 30º

73
Q.25 Two blocks of mass 8 kg and 5 kg are con- Each of the questions given below consist
nected by a heavy rope of mass 3 kg. An of Statement – I and Statement – II. Use
upward force of 180 N is applied as shown in the following Key to choose the appropriate
the figure. The tension in the string at point answer.
(A) If both Statement- I and Statement- II
P will be : are true, and Statement - II is the
correct explanation of Statement– I.
 (B) If both Statement - I and Statement - II
180N
are true but Statement - II is not the
8kg correct explanation of Statement – I.
(C) If Statement - I is true but Statement - II
P is false.
3kg (D) If Statement - I is false but Statement - II
is true.
5kg
Q.26 Statement I : A lighter and a heavier bodies
moving with same momenta and experiencing
(A) 60 N (B) 90 N same retarding force have equal stopping times.
(C) 120 N (D) 150 N Statement II : For a given force and momentum,
stopping time is independent of mass.

74
 ANSWER S KEY
LEVEL # 1
Q.No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Ans. A A A C B C B B C B C B D B D C D B B D
Q.No. 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
Ans. A B C A A A C A C D B B B B D D B A A A
Q.No. 41 42 43 44 45 46 47 48 49 50 51
Ans. B C A A C A C B C B A

LEVEL # 2
Q.No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
Ans. D B D B B C C A B B C C C C B B B B
Q.No. 19 20 21 22 23 24 25 26
Ans. B D B C B B B A

75