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A proton, a deuteron and an alpha-partic...

A proton, a deuteron and an `alpha`-particle with the same KE enter a region of uniform magnetic field, moving at right angles to B. What is the ratio of the radii of their circular paths ?

A

`1:sqrt(2):1`

B

`1:sqrt(2):sqrt(2)`

C

`sqrt(2) :1:1`

D

`sqrt(2):sqrt(2):1`

Text Solution

Verified by Experts

The correct Answer is:
A
`rp=(sqrt(2m_(p)K))/(eB)`
`rd=(sqrt(2(2m_(p))K))/(eB)`
`r_(alpha)=(sqrt(2(4m_(p))K))/((2e)B)`
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