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99 Percentile Qs Bank for JEE MainPhysicsCenter of Mass, Momentum and Collision

A particle A suffers an oblique elastic collision with a particle B which is initially at rest. If their masses are same, then after the collision

Options

  1. Athey will move in opposite directions
  2. BA continues to move in the original direction while B remains at rest
  3. Cthey will move in mutually perpendicular directions
  4. DA comes to rest and B starts moving in the direction of the original motion of A

Correct answer

C. they will move in mutually perpendicular directions

Step-by-step solution

as collision is elastic 1 2 mu 2 = 1 2 mv 1 2 + 1 2 v 2 2 u 2 = v 1 2 + v 2 2 ......... ( 1 ) Momentum is conserved m u → = m v → 1 + m v → 2 u → = v → 1 + v → 2 u 2 = v 1 2 + v 2 2 + 2 v 1 . v 2 cos ⁡ θ ....... ( 2 ) Solving ( 1 ) and ( 2 ) 2 v 1 . v 2 cos ⁡ θ = 0 cos ⁡ θ = 0 θ = 90 o i.e. v 1 & v 2 are mutually perpendicular.

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