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A proton , a deutron and alpha )- parti...

A proton , a deutron and `alpha )`- particle having the same kinetic energy are moving in circular trajectories 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_(alpha) = r_(p)lt r_(d)`

B

` r_(alpha) gt r_(p) gt r_(p)`

C

` r_(alpha) = r_(d) gt r_(p)`

D

` r_(p) = r_(d) = r_(alpha)`

Text Solution

Verified by Experts

The correct Answer is:
A
Key concept : ` r prop (sqrt(m))/(q)`
:. ` r_(p) :r_(d): r _(alpha) = ( sqrt (1))/(1) : ( sqrt(2))/(1) : (sqrt (4))/(1) = 1 : sqrt (2) : 1 `
rArr `rArr_(alpha) = r_(p) lt r_(d) `
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