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Question

An electron-position pair annihilates at rest to produce y-rays. Calculate the energy produced in MeV if the rest mass of electron is 9.1×1031kg .

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Solution

Since the charges of the electron and positron are equal and opposite that is they are particle and antiparticle is the result of the collision of at low energy

e+e+=γ+γ

The energy of the photon must be such that the two particle are created

E=2mc2

The energy of the photon must be combined energy of the electron and positron.

E=2×9.1×1031×(3×108)2

E=163.8×1033J

E=26.4×109MeV


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