If the rest mass of an electron or positron is $0.51 M e V$ , then the kinetic energy of each particle, in the electron-positron pair produced by a $γ -$ photon of $2.42 M e V$ , will be ?

0.3 M e V

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1.9 M e V

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0.7 M e V

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1.5 M e V

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Solution

The correct option is C $0.7 M e V$
Initial energy is that of the $γ$ photon which is $E = 2.42 M e V$
Energy consumed in forming the electron-positron pair will be $0.51 M e V + 0.51 M e V = 1.02 M e V$
So remaining energy will be $E^{'} = 2.42 M e V - 1.02 M e V = 1.4 M e V$
$This remaining energy will be equally divided in both particles as both have same mass i.e 1.4/2=0.7MeV$
$for each particle in electron-positron pair.$
Option c is correct.

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If the rest mass of an electron or positron is 0.51 MeV, then the kinetic energy of each particle, in the electron-positron pair produced by a γ−photon of 2.42 MeV, will be ?

If the rest mass of an electron or positron is $0.51 M e V$ , then the kinetic energy of each particle, in the electron-positron pair produced by a $γ -$ photon of $2.42 M e V$ , will be ?