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Question

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


A

ω and q

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B

ω, q and m

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C

q and m

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D

ω and m

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Solution

The correct option is C

q and m


The angular momentum L of the particle is given by L=mr2ω

where ω=2πn

Frequency n=ω2π

Further i×q×n=ωq2π

Magnetic moment, M=iA=ωq2π×πr2

M=ωqr22ML=ωqr22mr2ω=q2m


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