A bullet of mass $$m$$ hits a block of mass $$M$$ elastically. The transfer of energy is the maximum, when:
1. $$M=m$$
2. $$M=2m$$
3. $$M\ll m$$
4. $$M\gg m$$
Subtopic:  Collisions |
53%
From NCERT
NEET - 2023
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A particle of mass $$4M$$ kg at rest splits into two particles of mass $$M$$ and $$3M.$$ The ratio of the kinetic energies of mass $$M$$ and $$3M$$ would be:

 1 $$3:1$$ 2 $$1:4$$ 3 $$1:1$$ 4 $$1:3$$
Subtopic:  Collisions |
63%
From NCERT
NEET - 2022
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Given below are two statements:
 Assertion (A): When a firecracker (rocket) explodes in mid-air, its fragments fly in such a way that they continue moving in the same path, which the firecracker would have followed, had it not exploded. Reason (R): Explosion of cracker (rocket) occurs due to internal forces only and no external force acts for this explosion.

 1 Both (A) and (R) are true and (R) is the correct explanation of (A). 2 Both (A) and (R) are true but (R) is not the correct explanation of (A). 3 (A) is true but (R) is false. 4 (A) is false but (R) is true.
Subtopic:  Collisions |
From NCERT
NEET - 2022
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Body $$\mathrm{A}$$ of mass $$4m$$ moving with speed $$u$$ collides with another body $$\mathrm{B}$$ of mass $$2m$$ at rest. The collision is head-on and elastic in nature. After the collision, the fraction of energy lost by the colliding body $$\mathrm{A}$$ is:
1. $$\frac{5}{9}$$
2. $$\frac{1}{9}$$
3. $$\frac{8}{9}$$
4. $$\frac{4}{9}$$

Subtopic:  Collisions |
64%
From NCERT
NEET - 2019
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A moving block having mass $$m$$ collides with another stationary block having a mass of $$4m.$$ The lighter block comes to rest after the collision. When the initial velocity of the lighter block is $$v,$$ then the value of the coefficient of restitution $$(e)$$ will be:
1. $$0.5$$
2. $$0.25$$
3. $$0.8$$
4. $$0.4$$

Subtopic:  Collisions |
78%
From NCERT
NEET - 2018
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A bullet of mass $$10$$ g moving horizontal with a velocity of $$400$$ m/s strikes a wood block of mass $$2$$ kg which is suspended by light inextensible string of length $$5$$ m. As a result, the centre of gravity of the block is found to rise a vertical distance of $$10$$ cm. The speed of the bullet after it emerges horizontally from the block will be:

 1 $$100$$ m/s 2 $$80$$ m/s 3 $$120$$ m/s 4 $$160$$ m/s
Subtopic:  Collisions |
59%
From NCERT
NEET - 2016
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Two identical balls $$A$$ and $$B$$ having velocities of $$0.5~\text{m/s}$$ and $$-0.3~\text{m/s}$$, respectively, collide elastically in one dimension. The velocities of $$B$$ and $$A$$ after the collision, respectively, will be:

 1 $$-0.5~\text{m/s}~\text{and}~0.3~\text{m/s}$$ 2 $$0.5~\text{m/s}~\text{and}~-0.3~\text{m/s}$$ 3 $$-0.3~\text{m/s}~\text{and}~0.5~\text{m/s}$$ 4 $$0.3~\text{m/s}~\text{and}~0.5~\text{m/s}$$
Subtopic:  Collisions |
61%
From NCERT
NEET - 2016
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Two particles of masses $$m_1$$ and $$m_2$$ move with initial velocities $$u_1$$ and $$u_2$$ respectively. On collision, one of the particles gets excited to a higher level, after absorbing energy $$E$$. If the final velocities of particles are $$v_1$$ and $$v_2$$, then we must have:

 1 $$m_1^2u_1+m_2^2u_2-E = m_1^2v_1+m_2^2v_2$$ 2 $$\frac{1}{2}m_1u_1^2+\frac{1}{2}m_2u_2^2= \frac{1}{2}m_1v_1^2+\frac{1}{2}m_2v_2^2$$ 3 $$\frac{1}{2}m_1u_1^2+\frac{1}{2}m_2u_2^2-E= \frac{1}{2}m_1v_1^2+\frac{1}{2}m_2v_2^2$$ 4 $$\frac{1}{2}m_1^2u_1^2+\frac{1}{2}m_2^2u_2^2+E = \frac{1}{2}m_1^2v_1^2+\frac{1}{2}m_2^2v_2^2$$
Subtopic:  Collisions |
62%
From NCERT
NEET - 2015
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On a frictionless surface, a block of mass $$M$$ moving at speed $$v$$ collides elastically with another block of the same mass $$M$$ which is initially at rest. After the collision, the first block moves at an angle $$\theta$$ to its initial direction and has a speed $$\frac{v}{3}$$. The second block’s speed after the collision will be:

 1 $$\frac{2\sqrt{2}}{3}v$$ 2 $$\frac{3}{4}v$$ 3 $$\frac{3}{\sqrt{2}}v$$ 4 $$\frac{\sqrt{3}}{2}v$$
Subtopic:  Collisions |
66%
From NCERT
NEET - 2015
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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 moves with a speed of $$12$$ ms–1 and the second part of mass $$2$$ kg moves with $$8$$ ms–1 speed. If the third part flies off with $$4$$ ms–1 speed, then its mass is:
1. $$5$$ kg
2. $$7$$ kg
3. $$17$$ kg
4. $$3$$ kg
Subtopic:  Collisions |
70%
From NCERT
AIPMT - 2013
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