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JEE Main Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main

An α-particle of mass m suffers a one-dimensional elastic collision with a nucleus of unknown mass. After the collision the α-particle is scattered directly backward, losing 75% of its kinetic energy. The mass of the nucleus is

Answer: (C)

Solution

For a 1-D elastic collision, v₁'/u = (m−M)/(m+M). Losing 75% of KE means (v₁'/u)² = 1/4, so

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Question ID VK-153668