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JEE Main2013PhysicsCenter of Mass, Momentum and CollisionActual

This question has Statement - I and Statement - II of the four choices given after the Statements, choose the one that best describes the two Statements. Statement - I: A point particle of mass m moving with speed ν collides with stationary point particle of mass M . If the maximum energy loss possible is given as f 1 2 m ν 2 then f = m M + m . Statement - II: Maximum energy loss occurs when the particles g

Options

  1. AStatement- I is true, Statement- II is false.
  2. BStatement- I is false, Statement- II is true.
  3. CStatement- I is true, Statement- II is true, Statement- II is a correct explanation of Statement- I .
  4. DStatement- I is true, Statement- II is true, Statement- II is not a correct explanation of Statement- I .

Correct answer

B. Statement- I is false, Statement- II is true.

Step-by-step solution

Maximum energy loss will take place in perfectly inelastic collision, and is given by, ∆ K = P 2 2 m - P 2 2 m + M ⇒ ∆ K = P 2 2 m 1 - m m + M ⇒ ∆ K = P 2 2 m M m + M ⇒ ∆ K = 1 2 m v 2 M m + M On comparing with the given form of equation, we have, f = M m + M Hence Statement- I is false, Statement- II is true. ( As it is perfect Inelastic collision)

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