A $γ$ ray photon produces an electron positron pair. If the rest mass energy of electron is $0.51 M e v$ and the total kinetic energy of electron - positron pair is $0.78 M e V$ then the energy of $γ$ - ray photon is $M e v$ is

0.78

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1.8

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1.28

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0.28

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Solution

The correct option is B $1.8$
Here total energy is that of the photon.
Positron has mass equal to the electron.
Hence its mass-energy also be equal.
Hence Total mass-energy is $1.02 M e_{V}$
KE + this energy $=$ photon energy.
$1.02 + 0.78 = 1.8 M e_{V}$

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A γ ray photon produces an electron positron pair. If the rest mass energy of electron is 0.51 Mev and the total kinetic energy of electron - positron pair is 0.78 MeV then the energy of γ- ray photon is Mev is

The correct option is B 1.8Here total energy is that of the photon.Positron has mass equal to the electron.Hence its mass-energy also be equal.Hence Total mass-energy is 1.02MeVKE + this energy =photon energy.1.02+0.78=1.8MeV

A $γ$ ray photon produces an electron positron pair. If the rest mass energy of electron is $0.51 M e v$ and the total kinetic energy of electron - positron pair is $0.78 M e V$ then the energy of $γ$ - ray photon is $M e v$ is

The correct option is B $1.8$
Here total energy is that of the photon.
Positron has mass equal to the electron.
Hence its mass-energy also be equal.
Hence Total mass-energy is $1.02 M e_{V}$
KE + this energy $=$ photon energy.
$1.02 + 0.78 = 1.8 M e_{V}$