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NEET 2022
Exam
NEET
Year
2022
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

NEET 2022 · Physics · Center of Mass, Momentum and Collision

A shell of mass m is at rest initially. It explodes into three...

A shell of mass mm is at rest initially. It explodes into three fragments having mass in the ratio 2:2:12: 2: 1. If the fragments having equal mass fly off along mutually perpendicular directions with speed vv, the speed of the third (lighter) fragment is:

Options

  1. A2v\sqrt{2}v
  2. B22v2\sqrt{2}v
  3. C32v3\sqrt{2}v
  4. Dvv

Correct answer

B. 22v2\sqrt{2}v

Step-by-step solution

The speed of the third particle will be along angle bisector of the other two velocities. Applying the conservation of momentum,

mv′=2mvcos45°+2mvcos45°⇒v′=22vm{v}^{'} = 2mvcos45 ° + 2mvcos45 ° ⇒ {v}^{'} = 2\sqrt{2}v

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