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What is the magnetic moment of an electr...

What is the magnetic moment of an electron orbiting in a circular orbit of radius r with a speed v?

A

`evr/2`

B

evr

C

`(er)/(2v)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Magnetic moment M = NiA
Where, N=numberof turns of the current loop and i=current. Since, the orbiting electron behaves as a current loop of current I, we can write
`i=e/T = e/((2piv)/v)= (ev)/(2pir)`
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Knowledge Check

  • The magnetic moment of an electron of charge e moving in a circular orbit of radius r with speed v is given by

    A
    qvR
    B
    `(pi Rqv)/(2(pi+2)`
    C
    `(qvR)/(3)`
    D
    `(qvpiR)/(pi+2)`

  • Magnetic moment of an electron of charge e moving in a circular orbit of radius r with speed v is given by

    A
    `evr`
    B
    `(evr)/4`
    C
    `(evr)/2`
    D
    `(evr)/2`

  • An electron moves in circular orbit of radius r with constant speed v.The force acting in it is

    A
    `(mv^2)/r`
    B
    mvr
    C
    `(m^2v^2)/r`
    D
    zero
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