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Mass Energy Equivalence

What is the m...

Question

What is the minimum energy which a gamma ray photon must possess in order to produce electron-positron pair?

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Solution

Rest mass of energy of an electron or a positron is $0.51 M e V$ .
Thus total energy required to produce electron-positron pair is equal to $1.02 M e V$ .
So, two gamma ray photon each having energy $0.51 M e V$ combine to produce electron-positron pair. Two gamma rays are required in order to conserve the linear momentum of the electron-positron system.

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