A particle of mass \(4M\) 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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During an inelastic collision between two bodies, which of the following quantities always remain conserved?

1. total kinetic energy         
2. total mechanical energy
3. total linear momentum   
4. speed of each body
Subtopic:  Collisions |
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A particle undergoes an elastic collision with an identical particle at rest. After the collision, the two particles move with velocities \(\overrightarrow{v_1},~\overrightarrow{v_2}\). Final velocities \(\overrightarrow{v_1},~\overrightarrow{v_2}\) are in different directions.
The angle between \(\overrightarrow{v_1}\) and \(\overrightarrow{v_2}\) is:
1. \(\dfrac{\pi}{6}\) 2. \(\dfrac{\pi}{3}\)
3. \(\dfrac{\pi}{2}\) 4. \(\dfrac{2\pi}{3}\)
Subtopic:  Collisions |
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Please attempt this question first.
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