The wavelength `lambda_(e )` of an photon of same energy `E` are related by

Options

A. `lambda_(p) prop lambda_(e )^(2)`
B. `lambda_(p) prop lambda_( e )`
C. `lambda_(p) prop sqrt(lambda_(e ))`
D. `lambda_(p) prop (1)/(sqrt(lambda_(e)))`

Answer

A

Explanation

`lambda_(e) = (h)/(sqrt( 2 mE)) lambda_(e) = (hc)/( E)`
`lambda_(e)^(2) = (h^(2))/( 2m E)`
`lambda_(e)^(2) = (h^(2))/( 2 m (hc)/(lambda_(p))) rArr lambda_( e)^(2) prop lambda_(p)`