Question

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

Answer 1

Correct Answer - (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)`