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A proton and and alpha - particle are ac...

A proton and and `alpha `- particle are accelerated through a potential difference of `100 V`. The ratio of the wavelength associated with the proton to that associated with an `alpha` - particle is

A

`sqrt(2) : 1`

B

`2 : 1`

C

`2 sqrt(2) : 1`

D

`(1)/( 2 sqrt(2)) : 1`

Text Solution

Verified by Experts

The correct Answer is:
C
`lambda = (h)/(sqrt(2 m QV)) rArr lambda prop (1)/(sqrt(mQ)) rArr (lambda_(p))/(lambda_(alpha)) = sqrt((m_(alpha) Q_(alpha))/( m_(p) Q_(p)))`
`rArr sqrt((4m_(p) xx 2 Q_(p))/( m_(p) xx Q_(p))) = 2 sqrt(2)`
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