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

Options

A. `(h)/(m_(0)c)`
B. `(h)/(2m_0)c)`
C. `(2h)/(m_(0)c)`
D. `(h)/(4pim_(0)c)`

Answer

1

Explanation

From conservation of momentum two indentical photons must travel in opposite direction with equal maagnitude of momentum and energy `(hc)/(lambda)`. From conservation of energy,
`(hc)/(lambda)+(hc)/(lambda)=m_(0)c^(2)+m_(0)c^(2)orlambda=h//m_(0)c.`