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

Options

A. `lambda_p prop lambda_e`
B. `lambda_p prop sqrtlambda_e`
C. `lambda_p prop 1/sqrtlambda_e`
D. `lambda_p prop lambda_e^2`

Explanation

de broglie wavelength of electron , `lambda_e=h/sqrt(2mE)`
`therefore` i.e. `lambda_e prop 1/sqrtE rArr lambda_e^2 prop 1/E` …(1)
de-Broglie wavelength of proton
`lambda_p=(hc)/E`
`lambda_p prop 1/E` …(2)
From (1) and (2)
`lambda_e^2 prop lambda_p` i.e., `lambda_p prop lambda_e^2`