Find the ratio of de-Broglie wavelengths, associated with
(i) Protons, accelerated through a potential of 128 V, and
(ii) `alpha`-particles, accelerated through a potential of 64 V.

Explanation

`lambda=(h)/(sqrt(2meV))`
(i) for problem, `lambda_(1)=(h)/(sqrt(2m_(p)exx128))`….(1)
(ii)For `alpha`-particle , `lambda_(2)=(h)/(sqrt(2m_(alpha).(2e)xx64))`…(2)
Divide eq.(1) by eq.(2)
`(lambda_(1))/(lambda_(2))=sqrt((m_(alpha)xx128)/(m_(p)xx128))`
`=sqrt((m_(alpha))/(m_(p)))`
`=sqrt((4m_(p))/(m_(p)))=sqrt4=(2)/(1)`