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An alpha- particle and a proton are acce...

An `alpha-` particle and a proton are accelerated from rest by a potential difference of 100 V. After this, their de Broglie wavelengths are and `lamda_(a)` and `lamda_(p)` respectively. The ratio `(lamda_(p))/(lamda_(a)` to the nearest integer, is ...............

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
`lambda=(h)/(sqrt(2mE)) " " :. lambda prop(1)/(sqrt(mE))`
`:.(lambda_(p))/(lambda_(a))= sqrt((m_(a)E_(a))/(m_(p)E_(p)))= sqrt((4xx2E)/(E))=2 sqrt(2)~~3`
`:.E_(p)=eV and E_(prop)= 2eV`
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