Physics Work, Energy, Power and Collision NTA Abhiyas Question - Center of Mass and Momentum Conservation (Collision) MCQ (Single Correct)

A neutron collides elastically with the stationary nucleus of an atom of mass number A. If the collision is perfectly elastic, then after the collision the fraction of the initial kinetic energy retained by the neutron, is

A
B
C
D

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The correct answer is:
A

Let us assume the mass of the neutron is m n = m and mass of the nucleus is m A = Am

Also, let us assume that the initial and the final velocities of the neutron are v i and v f respectively.

Using the formula of final velocity for a perfectly elastic collision we get,

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