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Binding Energy

A gamma ray p...

Question

A gamma ray photon creates an electron-positron pair. If the rest mass energy of an electron is $0.5 M e V$ and the total kinetic energy of the electron-positron pair is $0.78 M e V$ , then the energy of the gamma ray photon must be

A

0.78 M e V

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B

1.78 M e V

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C

1.28 M e V

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D

0.28 M e V

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Solution

The correct option is A $1.78 M e V$
Energy of $γ$ -rays photon $=$ Rest mass energy $+$ $K . E$
$= 2 (0.5) + 0.78 = 1.78 M e V$

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