## MCQ (Single Correct Answer)

A bullet of mass $$m$$ hits a block of mass $$M$$ elastically. The transfer of energy is the maximum, when :

Two particles A and B initially at rest, move towards each other under mutual force of attraction. At an instance when the speed of A is v and speed o...

A $$1 \mathrm{~kg}$$ object strikes a wall with velocity $$1 \mathrm{~m} \mathrm{~s}^{-1}$$ at an angle of $$60^{\circ}$$ with the wall and reflects a...

The distance covered by a body of mass 5 g having linear momentum 0.3 kg m/s in 5 s is :

Given below are two statements : One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : When a fire cracker (rocket...

A shell of mass m is at rest initially. It explodes into three fragments having mass in the ratio 2 : 2 : 1. If the fragments having equal mass fly of...

Two objects of mass 10 kg and 20 kg respectively are connected to the two ends of a rigid rod of length 10 m with negligible mass. The distance of the...

A ball of mass 0.15 kg is dropped from a height 10m, strikes the ground and rebounds to the same height. The magnitude of impulse imparted to the ball...

Two particles of mass 5 kg and 10 kg respectively are attached to the two ends of a rigid rod of length 1 m with negligible mass.The centre of mass of...

Body A of mass 4m moving with speed u collides with another body B of mass 2 m, at rest. The collision is head on and elastic in nature. After the col...

A moving block having mass m, collides with
another stationary block having mass 4m. The
lighter block comes to rest after collision. When
the initial...

Which of the following statements are correct ?
(1) Centre of mass of a body always coincides with the centre of gravity of the body...

A rigid ball of mass m strikes a rigid wall at 60o and gets reflected without loss of speed as shown in the figure. The value of impulse imparted by t...

A bullet of mass 10 g moving horizontally with a velocity of 400 m s$$-$$1 strikes a wood block of mass 2 kg which is suspended by light inextensible ...

Two identical balls A and B having velocities of 0.5 m s$$-$$1 and $$-$$0.3 m s$$-$$1 respectively collide elastically in one dimension. The velocit...

Point masses m1 and m2 are placed at the opposite ends of a rigid rod of length L, and negligible mass. The rod is to be set rotating about an axis pe...

Two particles of masses m1, m2 move with initial velocities u1 and u2. On collision, one of the particles get excited to higher level, after absorbin...

Two spherical bodies of mass M and 5M and radii R and 2R are released in free space with initial separation between their centres equal to 12R. If the...

The force F acting on a particle of mass m is indicated by the force-time graph shown below. The change in momentum of the particle over the time inte...

A body of mass (4m) is lying in x-y plane at rest. It suddenly explodes into three pieces. Two pieces, each of mass (m) move perpendicular to each oth...

A person holding a rifle (mass of person and rifle together is 100 kg) stands on a smooth surface and fires 10 shots horizontally, in 5 s. Each bullet...

An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg move...

Three masses are placed on the x-axis : 300 g at origin, 500 g at x = 40 cm and 400 g at x = 70cm. The distance of the centre of mass from the orgin i...

Two spheres A and B of masses m1 and m2 respectively collide. A is at rest initially and B is moving with velocity v along x-axis. After collision B h...

Two persons of masses 55 kg and 65 kg respectively, are at the opposite ends of a boat. The length of the boat is 3.0 m and weights 100 kg. The 55 kg ...

Two particles which are initially at rest, move towards each other under the action of their internal attraction. If their speeds are v and 2v at any ...

An explosion blows a rock into three parts. Two parts go off at right angles to each other. These two are, 1 kg first part moving with a velocity of 1...

Two bodies of mass 1 kg and 3 kg have position vectors $$\widehat i + 2\widehat j + \widehat k$$ and $$ - 3\widehat i - 2\widehat j + \widehat k$$, re...

A particle of mass m is projected with velocity v making an angle of 45o with the horizontal. When the particle lands on the level ground the magnitud...

A shell of mass 200 gm is ejected from a gun of mass 4 kg by an explosion that generates 1.05 kJ of energy. The initial velocity of the shell is :

A 0.5 kg ball moving with a speed of 12 m/s strikes a hand wall at an angle of 30o with the wall. It is reflected with the same speed at the same angl...

A bomb of mass 30 kg at rest explodes into two pieces of masses 18 kg and 12 kg. The velocity of 18 kg mass is 6 m s$$-$$1. The kinetic energy of the ...

Consider a system of two particles having masses m1 and m2. If the particle of mass m1 is pushed towards the mass centre of particles through a distan...

A stationary particle explodes into two particles of masses m1 and m2 which move in opposite directions with velocities v1 and v2. The ratio of their ...

If kinetic energy of a body is increased by 300% then percentage change in momentum will be :

A rod of length is 3 m and its mass acting per unit length is directly proportional to distance x from one of its end then its centre of gravity from ...

A disc is rolling, the velocity of its centre of mass is vcm. Which one will be correct?