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Question

# 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 ise/m2e/me/2m2m/e

A
e/m
B
2e/m
C
e/2m
D
2m/e
Solution
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#### angular momentum=mvr=mr2ωmagnetic moment =i.π.r2 =(dqdt).π.r2 =e.f.π.r2 =e.(ω2π).π.r2 =e.ω.r22 MagneticmomentAngularmoment=e2m

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