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NTA Abhyas JEE Main2020PhysicsCenter of Mass, Momentum and CollisionPractice

The coefficient of restitution between a snooker ball and the side cushion is 1 3 . If the ball hits the cushion and then rebounds at right angles to its original direction, then what is the angle made with the side cushion by the direction of motion before and after impact?

Options

  1. Atan -1 1 3
  2. Btan - 1 3
  3. Ccot -1 3
  4. Dcot -1 1 3

Correct answer

B. tan - 1 3

Step-by-step solution

coefficient of restitution = 1 3 u  cos θ = v  sin θ ... (1) v  cos θ = u 3 sin θ ......(2) From (1) and (2) tan 2 θ = 3 θ = tan -1 3

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