Two bodies \(A\) and \(B\) of same mass undergo completely inelastic one dimensional collision. The body \(A\) moves with velocity \(v_1\) while body \(B\) is at rest before collision. The velocity of the system after collision is \(v_2\). The ratio \(v_1:v_2\) is:
1. \(2:1\)
2. \(4:1\)
3. \(1:4\)
4. \(1:2\)
Subtopic:  Collisions |
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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 |
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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 |
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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 |
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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. \(\dfrac{5}{9}\) 2. \(\dfrac{1}{9}\)
3. \(\dfrac{8}{9}\) 4. \(\dfrac{4}{9}\)
Subtopic:  Collisions |
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