An electron and a positron at rest annihilate to produce two gamma photons

PHYSICS · Single correct · CBSE · Physics · Nuclei · Nuclei

Problem

An electron and a positron at rest annihilate to produce two gamma photons. Taking the electron mass as

m_e=9.11\times10^{-31}\,\text{kg}

and

c=3.0\times10^{8}\,\text{m/s}

, calculate the total energy released in the process. Choose the nearest value. (a)

8.2\times10^{-14}\,\text{J}

(b)

3.3\times10^{-13}\,\text{J}

(c)

1.6\times10^{-13}\,\text{J}

(d)

5.5\times10^{-14}\,\text{J}