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 :

Options

A. `1:sqrt(2)`
B. `sqrt(2):1`
C. `2:1`
D. it can have any value

Answer

D

Explanation

`(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)))`