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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

`sqrt2:1`

B

`2:1`

C

`2sqrt2:1`

D

`1/(2sqrt2) :1`

Text Solution

Verified by Experts

The correct Answer is:
C
`lamda=(h)/(sqrt(2mqV))implieslamdaprop1/(sqrt(mq))`
`(lamda_(p))/(lamda_(alpha))=sqrt((m_(alpha)q_(alpha))/(m_pq_p))=sqrt8=2sqrt2`
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