If m is the mass of an electron and c the speed of light, the ratio of the wavelength of a photon of energy E to that of the electron of the same energy is

Options

A. `csqrt((2m)/E)`
B. `sqrt((2m)/E)`
C. `sqrt((2m)/(cE)`
D. `sqrt((m)/(E)`

Answer

a

Explanation

Energy of photon `E= hupsilon=(hc)/(lamda_(ph))`
where `lamda_(ph)` is the wavelength of photon
`lamda_(ph)=(hc)/E`
Wavelength of the electron `lamda_(e)=h/(sqrt(2mE)) `
`:. lamda_(ph)/(lamda_e) = (hc)/E xx (sqrt(2mE))/(h) = c sqrt((2m)/E)`