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Q.

A neutron travelling with a velocity v and kinetic energy E collides perfectly elastically head on with the nucleus of an atom of mass number A at rest. The fraction of total energy retained by neutron is

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a

(A−1A+1)2

b

(A+1A−1)2

c

(A+1A)2

d

(A−1A)2

answer is A.

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Detailed Solution

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(Δkk)retained=(m1−m2m1+m2)2=(1−A1+A)2

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A neutron travelling with a velocity v and kinetic energy E collides perfectly elastically head on with the nucleus of an atom of mass number A at rest. The fraction of total energy retained by neutron is