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

A proton, a deuteron and an `alpha`- particle having the same kinetic energy are moving in circular trajectors in a constant magnetic field. If `r_p, r_d` and `r_(alpha)` denote respectively the radii of the trajectories of these particles then

A

`r_a =r_p lt r_d`

B

`r_a gt r_d gt r_p`

C

`r_a =r_d gt r_p`

D

`r_p =r_d = r_a`

Text Solution

Verified by Experts

The correct Answer is:
A
`r=(sqrt2mk)/(qB)implies r prop sqrtm/q`
`r_p = sqrtm/q, r_d =(sqrt2m)/q , r_a = (sqrt4m)/(2q)=sqrtm/q`
`r_p = r_(a) lt r_d`
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