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  4. A gamma ray photon creates an electron-positron pair (pair creation). If the rest mass energy of an electron is 0.5 MeV and the total KE of electron-positron pair is 0.78 MeV, then the energy of the γ-ray photon must be

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Q. A gamma ray photon creates an electron-positron pair (pair creation). If the rest mass energy of an electron is $0.5\, MeV$ and the total $KE$ of electron-positron pair is $0.78\, MeV$, then the energy of the $\gamma$-ray photon must be

Nuclei

Solution:

Energy of $\gamma$-ray photon
$= KE$ of electron positron pair + Mass energy
$=0.78+0.5 \times 2\left(\text { an } e^{-} \text {and } e^{+} \text {are created }\right)$
$=1.78\, MeV$