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NEET 2011
Exam
NEET
Year
2011
Subject
Physics
Chapter
Nuclear Physics

NEET 2011 · Physics · Nuclear Physics

A radioactive nucleus of mass M emits a photon of frequency v and...

A radioactive nucleus of mass MM emits a photon of frequency vv and the nucleus recoils. The recoil energy will be

Options

  1. Ah2v2/2Mc2h^2 v^2 / 2 M c^2
  2. Bzero
  3. Ch Vh \mathrm{~V}
  4. DMc2−hvM c^2-h v

Correct answer

A. h2v2/2Mc2h^2 v^2 / 2 M c^2

Step-by-step solution

Momentum of a photon p=hvc\frac{h v}{c}Hence, Recoil energy E=p22M\frac{p^2}{2 M}∴E=(hvc)22M or  \quadE=h2v22Mc2\begin{aligned}& \therefore \quad E=\frac{\left(\frac{h v}{c}\right)^2}{2 M}\\ & \text{\text{ or } } \quadE=\frac{h^2 v^2}{2 M c^2}\\ & \end{aligned}$
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