An electron and a positron annihilate while both are at rest

PHYSICS · Subjective · CBSE · Physics · Dual Nature of Radiation and Matter · Dual Nature of Radiation and Matter

Problem

An electron and a positron annihilate while both are at rest. Given

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

c = 3.0\times10^{8}\,\text{m s}^{-1}

and

h = 6.63\times10^{-34}\,\text{J s}

, calculate: (i) the energy of each photon produced, and (ii) the corresponding wavelength.