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(a) The rest mass energy of an electron is m_(0)c^(2)=0.51MeV. Can a photon of this energy create an electron in free space? (A) A single photon of energy 2m_(0)c^(2) or greater has enough energy to form an electron (e^(-)). Positron (e^(+)) pair. But prove that this process cannot occur in free space. (c) The pair production is possibel in presence of a third particle. Assume that a photon having frequency v collides with a nucleus of rest mass M_(0) (at rest) and creates an e^(-),e^(+) pair at rest. Calculate the mass M_(0) of the nucleus. Neglect relativistic effect in all questions.

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ANSWER :(a) No (b) `m_(0)=(h^(2)V^(2))/(2c^(2)[hv-2m_(0)c^(2)])`


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