A proton and an electron are accelerated by the same potential difference, let `lambda_(e)` and `lambda_(p)` denote the de-Broglie wavelengths of the electron and the proton respectively

Options

A. `lambda_(e)=lambda_(p)`
B. `lambda_(e) lt lambda_(p)`
C. `lambda_(e) gt lambda_(p)`
D. `lambda_(e)` and `lambda_(p)` depends on the accelerating potential difference.

Answer

C

Explanation

`lambda=h/sqrt(2mKE)=h/sqrt(2mqV).`As `q` and `V` are same for both `lambda prop 1/sqrtm rArr lambda_(e) gt lambda_(p)`