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

Options

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

Answer

A

Explanation

de- Broglie wavelength for an electron
`lambda_(e)=(h)/(sqrt(2mE))or lambda_(e)prop (1)/(sqrt(E))`
`or lambda_(e)^(2)prop (1)/(E) " " `...(1)
Wavelength of photon `rArr lambda_(p)=(hc)/(E)`
`or lambda_(p) prop (1)/(E) " " ` ...(2)
From equation (1) and (2)
`lambda_(e)^(2) prop lambda_(p)`