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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 is
  1. e/m
  2. 2e/m
  3. e/2m
  4. 2m/e

A
e/m
B
2e/m
C
e/2m
D
2m/e
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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