Objective Questions
Single Correct Option
1. Apendulum consists of a wooden bob of mass mand length l. Abullet of mass
m, is fired towards the pendulum with a speed U and it emerges from the bob
with speed 1, The bob just completes motion along a vertical circle. Then v,
is
m 3m
(a) V5gl (b)
2m
m
(c) V5gi
3m
2. Abob of mass m attached with a string of length ltied to a point on ceiling is released from a
position when its string is horizontal. At the bottom most point of its motion, an identical mass
m gently stuck to it. Find the maximum angle from the vertical to which it rotates.
(a) cos (b) cos
(c) cos-1 (d) 60°
3. Atrain of mass Mis moving on a circular track of radius Rwith constant speed u. The length of
the train is half of the perimeter of the track. The linear momentum of the train will be
(a) zero
2Mu (c) MuR (d) Mu
(b)
4. Two blocks A and B of mass n and 2 m are connected together by
light spring of stiffness k. The system is lying on a smooth horizontal
surface with the block A in contact with a fixed vertical wall as shown m 2m
in the figure. The block B is pressed towards the wall by a distance x A00000O B
and then released. There is no friction anywhere. If spring takes time
At to acquire its natural length then average force on the block A by
the wall is
V2mk Vmk V3mk
(a) zer0 (c) (d)
(b) At At
At
D. A striker is shot from a square carom board from a point A exactly at
midpoint of one of the walls with a speed of 2 ms at an angle of 45° with
the x-axis as shown in the figure. The collisions of the striker with the
wallsof the fixed carom are perfectly elastic. The coefficient of kinetic
fnction between the striker and board is 0.2. The coordinate of the 45°
stnker when it stops (taking point Oto be the origin) is (in SI units) A
1 1 1
(a) (b) 0, L= m
2V2 V2 2/2
1 1 1
(c) 0
(d)
2/2 e'2/2
Single Correct Option
1. Apendulum consists of a wooden bob of mass mand length l. Abullet of mass
m, is fired towards the pendulum with a speed U and it emerges from the bob
with speed 1, The bob just completes motion along a vertical circle. Then v,
is
m 3m
(a) V5gl (b)
2m
m
(c) V5gi
3m
2. Abob of mass m attached with a string of length ltied to a point on ceiling is released from a
position when its string is horizontal. At the bottom most point of its motion, an identical mass
m gently stuck to it. Find the maximum angle from the vertical to which it rotates.
(a) cos (b) cos
(c) cos-1 (d) 60°
3. Atrain of mass Mis moving on a circular track of radius Rwith constant speed u. The length of
the train is half of the perimeter of the track. The linear momentum of the train will be
(a) zero
2Mu (c) MuR (d) Mu
(b)
4. Two blocks A and B of mass n and 2 m are connected together by
light spring of stiffness k. The system is lying on a smooth horizontal
surface with the block A in contact with a fixed vertical wall as shown m 2m
in the figure. The block B is pressed towards the wall by a distance x A00000O B
and then released. There is no friction anywhere. If spring takes time
At to acquire its natural length then average force on the block A by
the wall is
V2mk Vmk V3mk
(a) zer0 (c) (d)
(b) At At
At
D. A striker is shot from a square carom board from a point A exactly at
midpoint of one of the walls with a speed of 2 ms at an angle of 45° with
the x-axis as shown in the figure. The collisions of the striker with the
wallsof the fixed carom are perfectly elastic. The coefficient of kinetic
fnction between the striker and board is 0.2. The coordinate of the 45°
stnker when it stops (taking point Oto be the origin) is (in SI units) A
1 1 1
(a) (b) 0, L= m
2V2 V2 2/2
1 1 1
(c) 0
(d)
2/2 e'2/2
