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The ratio of moment of an electron and a...

The ratio of moment of an electron and an `alpha`-particle which are accelerated from rest by a potential difference of `100V` is

A

1

B

`sqrt((2m_(e))/(m_(alpha)))`

C

`sqrt((m_(e))/(m_(alpha)))`

D

`sqrt((m_(e))/(2m_(alpha)))`

Text Solution

Verified by Experts

The correct Answer is:
D

Momentum, `p=mv and v=sqrt((2qV)/(m))`
`p=sqrt(2qmV)=sqrt(qm)`
`(p_(e))/(p_(alpha))=sqrt((em_(e))/(2em_(alpha)))=sqrt((m_(e))/(2m_(alpha)))`
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