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A proton and an alpha - Particle ( wit...

A proton and an `alpha -` Particle ( with their masses in the ratio of 1:4 and charges in the ratio of 1:2 ) are accelerated form rest through a potential differeence V, if a uniform magnetic field (B) is set up perpendicular to their velocities , the ratio of the radii `r_(p) : r_(alpha)` of the circular paths described by them will be :

A

`1:2`

B

`1:sqrt(3)`

C

`1:3`

D

`1:sqrt(2)`.

Text Solution

Verified by Experts

The correct Answer is:
D
`r=(mv)/(Bq)=(sqrt(2mvq))/(Bq)`
`r prop sqrt((m)/(q)=sqrt((1)/(4)xx(2)/(1)=(1)/(2)` .
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