An electron of charge e mass m moves in an orbit of radius r with an angular velocity ω . The ratio of the magnetic moment of the orbiting electron to its angular momentum is

e/m

2e/m

e/2m

2m/e

A

e/m

B

2e/m

C

e/2m

D

2m/e

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Solution

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angular momentum=mvr

=mr2ω

magnetic moment

=i.π.r2

=(dqdt).π.r2

=e.f.π.r2 =e.(ω2π).π.r2

=e.ω.r22

MagneticmomentAngularmoment=e2m

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