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Wave Optics

Question
CBSEENPH12039912

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

  • h2v2 / 2Mc2

  • zero

  • hv

  • Mc2 - hv

Solution

C.

hv

Momentum space of space straight a space photon

straight p space equals space hv over straight c
hence comma space Recoil space energy
straight E equals space fraction numerator straight p squared over denominator 2 straight M end fraction

straight E space equals fraction numerator open parentheses begin display style hv over straight c end style close parentheses squared over denominator 2 straight M end fraction

straight E space equals fraction numerator straight h squared straight v squared over denominator 2 Mc squared end fraction

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