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A particle of the charged q and mass m m...

A particle of the charged `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 q

D

`omega` and m

Text Solution

Verified by Experts

The correct Answer is:
(C)
` M =IA = (qomega)/(2pi) xx pir^(2) = (qomegar^(2))/(2)`
`L = mvr = m (romega)r =momegar^(2)`
`(M)/(L) = (qomegar^(2))/(2momegar^(2)) = (q)/(2m)`
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