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If the ratio of time periods of circular...

If the ratio of time periods of circular motion of two charged particles in magnetic field in `1//2`, then the ratio of their kinetic energies must be :

A

`1:sqrt(2)`

B

`sqrt(2):1`

C

`2:1`

D

it can have any value

Text Solution

Verified by Experts

The correct Answer is:
D

`(T_(1))/(T_(2))=(1)/(2)=((2pim_(1))/(q_(1)B_(1)))/((2pim_(2))/(q_(2)B_(2)))=((m_(1))/(q_(1)B_(1)))((q_(2)B_(2))/(m_(2)))`
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