A gamma ray photon creates an electron-positr | vedclass

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(B) The process of pair production involves a gamma ray photon creating an electron-positron pair.According to the law of conservation of energy,the e

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$1.78$

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(B) The process of pair production involves a gamma ray photon creating an electron-positron pair.According to the law of conservation of energy,the energy of the incident gamma ray photon $(E_{\gamma})$ must be equal to the sum of the rest mass energies of the electron and positron and their total kinetic energy.The rest mass energy of an electron is $0.5\, MeV$,and since a positron has the same mass as an electron,its rest mass energy is also $0.5\, MeV$.Total rest mass energy = $0.5\, MeV + 0.5\, MeV = 1.0\, MeV$.Given the total kinetic energy of the pair is $0.78\, MeV$.Therefore,$E_{\gamma} = (1.0\, MeV) + (0.78\, MeV) = 1.78\, MeV$.

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

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