The ratio of the de Broglie wavelength of a proton and alpha particles will be `1:2` if their

Options

A. Velocity are in the ratio `1:8`
B. Velocity are in the ratio `8:1`
C. Kinetic energ are in the ratio `1:64`
D. Kinetic energ are in the ratio `1:256`

Explanation

`lambda = (h)/(mv),(lambda_(p))/(lambda_(d)) = (1)/(2) rArr ((mv)_(p))/((mv)_(a)) = (2)/(1)`
`," m_(a) = 4m_(p) rArr (V_(p))/(V_(a)) = (8)/(1)`
`(KE_(p))/(KE_(a))= (1//2m_(p)Vp^(2))/(1//2m_(p)V_(p^(2))) = (8^(2))/(4) = 16:1`