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Consider a hypothetical annihilation of ...

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

A

`(h)/(2m_(0)c)`

B

`(h)/(m_(0)c)`

C

`(2h)/(m_(0)c)`

D

`(h)/(m_(0)c^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
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)`
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