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Q.

A nucleus of mass M at rest, is initially in an excited state whose energy is  ΔE above the ground state of the nucleus. The nucleus emits a gamma ray of energy  hv and makes a transition to ground state. Now choose CORRECT statement(s)

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a

The nucleus will recoil when it emits a  γ−ray because of the conservation of linear momentum

b

The nucleus will not recoil when it emits a  γ−ray because of the conservation of linear momentum is not obeyed in such type of processes

c

The value of  hv is less than  ΔE

d

The value of hv is greater than ΔE

answer is A.

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Detailed Solution

Conservation of linear momentum is always obeyed in absence of external forces. So due to recoil of nucleus hv will be less than ΔE .
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