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Proton , deuton and alpha particle of sa...

Proton , deuton and alpha particle of same kinetic energy are moving in circular trajectories in a constant magnetic field. The radii of proton , deuteron and alpha particle are respectively `r_(p), r_(d) and r_(alpha)`. Which one of the following relation is correct?

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B

`r = (sqrt(2 mv))/(qB) rArr r xx vsqrt(m)/(q)`
Thus we have , `r_(alpha) = r_(p) lt r_(d)`
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