An electron and proton move in same direction with equal kinetic energy.Ratio of de-Broglie wavelength will be….

Options

A. `(m_(2))/(m_(p))`
B. `(m_(p))/(m_(e))`
C. `sqrt((m_(p))/(m_(e)))`
D. `m_(p).m_(e)`

Answer

C

Explanation

`lambda=(h)/(p)` but p`=sqrt(2mK)`
`therefore In lambda =(h)/(sqrt(2mK)),(h)/(sqrt(2K))` is constant.
`therefore lambda prop (1)/(sqrt(m))`
`therefore (lambda_(e))/(lambda_(p))=sqrt((m_(p))/(m_(e)))`