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A particle of charge q and mass m moves ...

A particle of charge `q` and mass `m` moves in a circular orbit of radius `r` with angular speed `omega`. The ratio of the magnitude of its magnetic moment to that of its angular momentum depends on

A

`omega and q`

B

`omega,q and m`

C

q and m

D

`omega and m`

Text Solution

Verified by Experts

The correct Answer is:
C
Current (i) `= (qomega)/(2pi) and A = mpi^2`
Magnetic moment `M = iA = 1/2 q omegar^2`
Angular momentum `L = I omega = mr^2 omega`
`:. M/L =q/(2m)`
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