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If the de - Broglie wavelengths for a pr...

If the de - Broglie wavelengths for a proton and for a `alpha` - particle are equal , then the ratio of their velocities will be

A

`4:1`

B

`2:1`

C

`1:2`

D

`1:4`

Text Solution

Verified by Experts

The correct Answer is:
A
`lambda=(h)/(p) rArr lambda_(p)=lambda_(alpha) rArr P_(p) = P_(alpha)`
`m_(p) V_(p) = m_(alpha)V_(alpha) = (V_(p))/(V_(alpha))=(m_(alpha))/(m_(p)) = 4`
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