1.

A positron with kinetic energy T= 750 keV strikes a stationary free electron. As a result of annihilation, two gamma quanta with equal energies appear. Find the angle of divergence between them.

Answer»

Solution :By momentum conservation
`sqrt(E^(2)-m_(e )^(2)C^(4))=2(E+m_(e )c^(2))/(2)"cos" (THETA)/(2)`
or `"cos "(theta)/(2)= sqrt((E-m_(e )c^(2))/(E+m_(e )c^(2))) =sqrt((T)/(T+2M_(e )c^(2)))`
Substitution GIVES `theta= 98.8^(@)`


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