Center of Mass and Collision PYQs - Last 10 Years
JEE Main / Physics / Mechanics / 114 recent questions
PhysicsMechanics2017-2026
Practice 114 JEE Main Physics questions from Center of Mass and Collision. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
114
PYQs on Page
Physics / Mechanics
2017-2026
Year Range
Based on indexed question metadata
52
Last 5 Years
2022-2026
114
Last 10 Years
2017-2026
Recent Year Trend
2021
2022
2023
2024
2025
2026Latest year
202122 max PYQs/year2026
Question Types
114PYQs
MCQ74.6%
INTEGER25.4%
Difficulty Mix
#1 Medium63
#2 Easy50
#3 Hard1
52 in last 5 years114 in last 10 years
Last 10 Years Center of Mass and Collision Questions
Showing 50 of 114 filtered questions.
1Center Of Mass
Three identical spheres each of mass M are placed at the corners of a right angled triangle with mutually perpendicular sides equal to 3 m each. Taking point of intersection of mutually perpendicular sides as origin, the magnitude of positi...
INTEGER+4 / -12022
2Center Of Mass
Two billiard balls of mass 0.05 kg each moving in opposite directions with 10 ms\(-\)1 collide and rebound with the same speed. If the time duration of contact is t = 0.005 s, then what is the force exerted on the ball due to each other?
MCQ+4 / -12022
3Center Of Mass
A body of mass M moving at speed V0 collides elastically with a mass 'm' at rest. After the collision, the two masses move at angles \(\theta\)1 and \(\theta\)2 with respect to the initial direction of motion of the body of mass M. The larg...
MCQ+4 / -12021
4Center Of Mass
Three objects A, B and C are kept in a straight line on a frictionless horizontal surface. The masses of A, B and C are m, 2m and 2m respectively. A moves towards B with a speed of 9 m/s and makes an elastic collision with it. Thereafter B ...
MCQ+4 / -12021
5Center Of Mass
A bullet of 10 g, moving with velocity v, collides head-on with the stationary bob of a pendulum and recoils with velocity 100 m/s. The length of the pendulum is 0.5 m and mass of the bob is 1 kg. The minimum value of v = ____________ m/s s...
INTEGER+4 / -12021
6Center Of Mass
Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R.Assertion A : Body 'P' having mass M moving with speed 'u' has head-on collision elastically with another body 'Q' having mass 'm' initial...
MCQ+4 / -12021
7Center Of Mass
A body of mass 2 kg moving with a speed of 4 m/s. makes an elastic collision with another body at rest and continues to move in the original direction but with one fourth of its initial peed. The speed of the two body centre of mass is $${x...
INTEGER+4 / -12021
8Center Of Mass
Two billiard balls of equal mass 30g strike a rigid wall with same speed of 108 kmph (as shown) but at different angles. If the balls get reflected with the same speed then the ratio of the magnitude of impulses imparted to ball 'a' and bal...
MCQ+4 / -12021
9Center Of Mass
Two particles having masses 4 g and 16 g respectively are moving with equal kinetic energies. The ratio of the magnitudes of their linear momentum is n : 2. The value of n will be ___________.
INTEGER+4 / -12021
10Center Of Mass
A ball with a speed of 9 m/s collides with another identical ball at rest. After the collision, the direction of each ball makes an angle of 30\(^\circ\) with the original direction. The ratio of velocities of the balls after collision is x...
INTEGER+4 / -12021
11Center Of Mass
A circular hole of radius \(\left( {{a \over 2}} \right)\) is cut out of a circular disc of radius 'a' as shown in figure. The centroid of the remaining circular portion with respect to point 'O' will be :
MCQ+4 / -12021
12Center Of Mass
Two solids A and B of mass 1 kg and 2 kg respectively are moving with equal linear momentum. The ratio of their kinetic energies (K.E.)A : (K.E.)B will be \({{A \over 1}}\), so the value of A will be ________.
INTEGER+4 / -12021
13Center Of Mass
The position of the centre of mass of a uniform semi-circular wire of radius 'R' placed in x-y plane with its centre at the origin and the line joining its ends as x-axis is given by \(\left( {0,{{xR} \over \pi }} \right)\). Then, the value...
INTEGER+4 / -12021
14Center Of Mass
A bullet of '4 g' mass is fired from a gun of mass 4 kg. If the bullet moves with the muzzle speed of 50 ms\(-\)1, the impulse imparted to the gun and velocity of recoil of gun are :
MCQ+4 / -12021
15Center Of Mass
A rod of mass M and length L is lying on a horizontal frictionless surface. A particle of mass 'm' travelling along the surface hits at one end of the rod with a velocity 'u' in a direction perpendicular to the rod. The collision is complet...
INTEGER+4 / -12021
16Center Of Mass
If the Kinetic energy of a moving body becomes four times its initial Kinetic energy, then the percentage change in its momentum will be :
MCQ+4 / -12021
17Center Of Mass
A ball of mass 10 kg moving with a velocity 10\(\sqrt 3\) m/s along the x-axis, hits another ball of mass 20 kg which is at rest. After the collision, first ball comes to rest while the second ball disintegrates into two equal pieces. One ...
INTEGER+4 / -12021
18Center Of Mass
The projectile motion of a particle of mass 5 g is shown in the figure.The initial velocity of the particle is \(5\sqrt 2\) ms-1 and the air resistance is assumed to be negligible. The magnitude of the change in momentum between the points...
INTEGER+4 / -12021
19Center Of Mass
An object of mass m1 collides with another object of mass m2, which is at rest. After the collision the objects move with equal speeds in opposite direction. The ratio of the masses m2 : m1 is :
MCQ+4 / -12021
20Center Of Mass
Two identical blocks A and B each of mass m resting on the smooth horizontal floor are connected by a light spring of natural length L and spring constant K. A third block C of mass m moving with a speed v along the line joining A and B col...
MCQ+4 / -12021
21Center Of Mass
The disc of mass M with uniform surface mass density \(\sigma\) is shown in the figure. The centre of mass of the quarter disc (the shaded area) is at the position \({x \over 3}{a \over \pi },{x \over 3}{a \over \pi }\) where x is _________...
INTEGER+4 / -12021
22Center Of Mass
A ball of mass 10 kg moving with a velocity \(10\sqrt 3\) m s\(-\)1 along X-axis, hits another ball of mass 20 kg which is at rest. After collision, the first ball comes to rest and the second one disintegrates into two equal pieces. One o...
INTEGER+4 / -12021
23Center Of Mass
Four equal masses, m each are placed at the comers of a square of length (l) as shown in the figure. The moment of inertia of the system about an axis passing through A and parallel to DB would be :
MCQ+4 / -12021
24Center Of Mass
A large block of wood of mass M = 5.99 kg is hanging from two long massless cords. A bullet of mass m = 10 g is fired into the block and gets embedded in it. The (block + bullet) then swing upwards, their centre of mass rising a vertical di...
MCQ+4 / -12021
25Center Of Mass
Two particles of equal mass m have respective
initial velocities \(u\widehat i\) and \(u\left( {{{\widehat i + \widehat j} \over 2}} \right)\).
They collide
completely inelastically. The energy lost in the
process is :
initial velocities \(u\widehat i\) and \(u\left( {{{\widehat i + \widehat j} \over 2}} \right)\).
They collide
completely inelastically. The energy lost in the
process is :
MCQ+4 / -12020
26Center Of Mass
A rod of length L has non-uniform linear mass
density given by \(\rho\)(x) = \(a + b{\left( {{x \over L}} \right)^2}\)
, where a
and b are constants and 0 \(\le\) x \(\le\) L. The value
of x for the centre of mass of the rod is at :
density given by \(\rho\)(x) = \(a + b{\left( {{x \over L}} \right)^2}\)
, where a
and b are constants and 0 \(\le\) x \(\le\) L. The value
of x for the centre of mass of the rod is at :
MCQ+4 / -12020
27Center Of Mass
A particle of mass m is projected with a speed
u from the ground at an angle
\(\theta = {\pi \over 3}\) w.r.t.
horizontal (x-axis). When it has reached its
maximum height, it collides completely
inelastically with another particle of the ...
u from the ground at an angle
\(\theta = {\pi \over 3}\) w.r.t.
horizontal (x-axis). When it has reached its
maximum height, it collides completely
inelastically with another particle of the ...
MCQ+4 / -12020
28Center Of Mass
The coordinates of centre of mass of a uniform
flag shaped lamina (thin flat plate) of mass 4kg.
(The coordinates of the same are shown in
figure) are :
flag shaped lamina (thin flat plate) of mass 4kg.
(The coordinates of the same are shown in
figure) are :
MCQ+4 / -12020
29Center Of Mass
A body A, of mass m = 0.1 kg has an initial
velocity of 3\(\widehat i\) ms-1 . It collides elastically with
another body, B of the same mass which has
an initial velocity of 5\(\widehat j\) ms-1. After collision,
A moves with a velocity $$\...
velocity of 3\(\widehat i\) ms-1 . It collides elastically with
another body, B of the same mass which has
an initial velocity of 5\(\widehat j\) ms-1. After collision,
A moves with a velocity $$\...
INTEGER+4 / -02020
30Center Of Mass
A particle of mass m is dropped from a height
h above the ground. At the same time another
particle of the same mass is thrown vertically
upwards from the ground with a speed of \(\sqrt {2gh}\). If they collide head-on completely
inelastic...
h above the ground. At the same time another
particle of the same mass is thrown vertically
upwards from the ground with a speed of \(\sqrt {2gh}\). If they collide head-on completely
inelastic...
MCQ+4 / -12020
31Center Of Mass
As shown in figure, when a spherical cavity
(centered at O) of radius 1 is cut out of a uniform
sphere of radius R (centered at C), the centre of
mass of remaining (shaded) part of sphere is at
G, i.e, on the surface of the cavity. R can be...
(centered at O) of radius 1 is cut out of a uniform
sphere of radius R (centered at C), the centre of
mass of remaining (shaded) part of sphere is at
G, i.e, on the surface of the cavity. R can be...
MCQ+4 / -12020
32Center Of Mass
Three point particles of masses 1.0 kg, 1.5 kg and 2.5 kg are placed at three corners of a right angle triangle of sides 4.0 cm, 3.0 cm and 5.0 cm as shown in the figure. The center of mass of the system is at a point:
MCQ+4 / -12020
33Center Of Mass
Two bodies of the same mass are moving with the same speed, but in different directions in a
plane. They have a completely inelastic collision and move together thereafter with a final speed
which is half of their initial speed. The angle b...
plane. They have a completely inelastic collision and move together thereafter with a final speed
which is half of their initial speed. The angle b...
INTEGER+4 / -02020
34Center Of Mass
Particle A of mass m1
moving with velocity \(\left( {\sqrt3\widehat i + \widehat j} \right)m{s^{ - 1}}\) collides with another particle B of mass m2
which is at rest initially. Let \(\overrightarrow {{V_1}}\)
and $$\overrightarrow {{V_2}...
moving with velocity \(\left( {\sqrt3\widehat i + \widehat j} \right)m{s^{ - 1}}\) collides with another particle B of mass m2
which is at rest initially. Let \(\overrightarrow {{V_1}}\)
and $$\overrightarrow {{V_2}...
MCQ+4 / -12020
35Center Of Mass
The centre of mass of solid hemisphere of radius 8 cm is x from the centre of the flat surface. Then
value of x is __________.
value of x is __________.
INTEGER+4 / -02020
36Center Of Mass
Blocks of masses m, 2m, 4m and 8m are arranged in a line on a frictionless floor. Another block of
mass m, moving with speed v along the same line (see figure) collides with mass m in perfectly
inelastic manner. All the subsequent collision...
mass m, moving with speed v along the same line (see figure) collides with mass m in perfectly
inelastic manner. All the subsequent collision...
MCQ+4 / -12020
37Center Of Mass
A block of mass m = 1 kg slides with velocity v = 6 m/s on a frictionless horizontal surface and
collides with a uniform vertical rod and sticks to it as shown. The rod is pivoted about O and swings
as a result of the collision making angle...
collides with a uniform vertical rod and sticks to it as shown. The rod is pivoted about O and swings
as a result of the collision making angle...
MCQ+4 / -12020
38Center Of Mass
A block of mass 1.9 kg is at rest at the edge of a table, of height 1 m. A bullet of mass 0.1 kg
collides with the block and sticks to it. If the velocity of the bullet is 20 m/s in the horizontal
direction just before the collision then th...
collides with the block and sticks to it. If the velocity of the bullet is 20 m/s in the horizontal
direction just before the collision then th...
MCQ+4 / -12020
39Center Of Mass
A particle of mass m with an initial velocity \(u\widehat i\)
collides perfectly elastically with a mass 3 m at
rest. It moves with a velocity \(v\widehat j\) after collision,
then, v is given by :
collides perfectly elastically with a mass 3 m at
rest. It moves with a velocity \(v\widehat j\) after collision,
then, v is given by :
MCQ+4 / -12020
40Center Of Mass
A square shaped hole of side l = \({a \over 2}\) is carved
out at a distance d = \({a \over 2}\) from the centre ‘O’ of
a uniform circular disk of radius a. If the
distance of the centre of mass of the
remaining portion form O is
$$ - {a \o...
out at a distance d = \({a \over 2}\) from the centre ‘O’ of
a uniform circular disk of radius a. If the
distance of the centre of mass of the
remaining portion form O is
$$ - {a \o...
INTEGER+4 / -02020
41Center Of Mass
A particle of mass m is moving along the x-axis
with initial velocity \(u\widehat i\). It collides elastically
with a particle of mass 10 m at rest and then
moves with half its initial kinetic energy (see
figure). If $$\sin {\theta _1} = \s...
with initial velocity \(u\widehat i\). It collides elastically
with a particle of mass 10 m at rest and then
moves with half its initial kinetic energy (see
figure). If $$\sin {\theta _1} = \s...
INTEGER+4 / -02020
42Center Of Mass
Two masses m and \({m \over 2}\) are connected at the two ends of a massless rigid rod of length l. The rod is suspended by a thin wire of torsional constant k, at the centre of mass of the rod-mass system(see figure). Because of torsional ...
MCQ+4 / -12019
43Center Of Mass
Three blocks A, B and C are lying on a smooth horizontal surface, as shown in the figure. A and B have equal masses, m while C has mass M, Block A is given an initial speed \(\upsilon\) towards B due to which it collides with B perfectly i...
MCQ+4 / -12019
44Center Of Mass
A ball is thrown vertically up (taken as +z-axis)
from the ground. The correct momentum-height
(p-h) diagram is :
from the ground. The correct momentum-height
(p-h) diagram is :
MCQ+4 / -12019
45Center Of Mass
A body of mass 2 kg makes an eleastic collision
with a second body at rest and continues to move
in the original direction but with one fourth of its
original speed. What is the mass of the second
body ?
with a second body at rest and continues to move
in the original direction but with one fourth of its
original speed. What is the mass of the second
body ?
MCQ+4 / -12019
46Center Of Mass
A wedge of mass M = 4m lies on a frictionless
plane. A particle of mass m approaches the
wedge with speed v. There is no friction
between the particle and the plane or between
the particle and the wedge. The maximum
height climbed by the pa...
plane. A particle of mass m approaches the
wedge with speed v. There is no friction
between the particle and the plane or between
the particle and the wedge. The maximum
height climbed by the pa...
MCQ+4 / -12019
47Center Of Mass
A particle of mass 'm' is moving with speed '2v'
and collides with a mass '2m' moving with
speed 'v' in the same direction. After collision,
the first mass is stopped completely while the
second one splits into two particles each of
mass 'm...
and collides with a mass '2m' moving with
speed 'v' in the same direction. After collision,
the first mass is stopped completely while the
second one splits into two particles each of
mass 'm...
MCQ+4 / -12019
48Center Of Mass
Four particles A, B, C and D with masses
mA = m, mB = 2m, mC = 3m and mD = 4m are
at the corners of a square. They have
accelerations of equal magnitude with
directions as shown. The acceleration of the
centre of mass of the particles is :
mA = m, mB = 2m, mC = 3m and mD = 4m are
at the corners of a square. They have
accelerations of equal magnitude with
directions as shown. The acceleration of the
centre of mass of the particles is :
MCQ+4 / -12019
49Center Of Mass
If 1022 gas molecules each of mass 10–26 kg
collide with a surface (perpendicular to it)
elastically per second over an area 1 m2 with
a speed 104 m/s, the pressure exerted by the gas
molecules will be of the order of :
collide with a surface (perpendicular to it)
elastically per second over an area 1 m2 with
a speed 104 m/s, the pressure exerted by the gas
molecules will be of the order of :
MCQ+4 / -12019
50Center Of Mass
A body of mass m1 moving with an unknown
velocity of \({v_1}\mathop i\limits^ \wedge\), undergoes a collinear collision
with a body of mass m2 moving with a velocity
\({v_2}\mathop i\limits^ \wedge\) . After collision, m1 and m2 move wi...
velocity of \({v_1}\mathop i\limits^ \wedge\), undergoes a collinear collision
with a body of mass m2 moving with a velocity
\({v_2}\mathop i\limits^ \wedge\) . After collision, m1 and m2 move wi...
MCQ+4 / -12019