Consider a hypothetical annihilation of a stationary electron with a stationary positron. What is the wavelength of the resulting radiation?

Options

A. `(h)/(2m_(0)c)`
B. `(h)/(m_(0)c)`
C. `(2h)/(m_(0)c)`
D. `(h)/(m_(0)c^(2))`

Answer

B

Explanation

According to law of conservation of momentum, two identical photon must travel in opposite direction with equal magnitude of momentum and energy `(hc)/(lamda)` From conservation of energy
`(hc)/(lamda) + (hc)/(lamda)= m_(0) c^(2) + m_(0)c^(2)`
`lamda= (h)/(m_(0)c)`