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JEE Main Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main

The masses of five balls at rest, lying at equal distances in a straight line, are in geometric progression with ratio 2, and their coefficients of restitution are each 2/3. If the first ball is started towards the second with velocity , then the velocity communicated to the 5th ball is

Answer: (D)

Solution

For a collision between mass (speed ) and a stationary mass (ratio 2, matching the GP) with restitution , the velocity transmitted to the struck (heavier) ball is

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Question ID VK-158676