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JEE Main 202225 JulyMorning Shift
Exam
JEE Main
Year
2022
Date
25 July
Shift
Morning Shift
Subject
Physics
Chapter
Magnetic Effects of Current

JEE Main 2022 · 25 July · Morning Shift · Physics · Magnetic Effects of Current

The magnetic moment of an electron (e) revolving in an orbit around...

The magnetic moment of an electron (e)\left(e\right) revolving in an orbit around nucleus with an orbital angular momentum is given by

Options

  1. Aμ→L=eL2m\overset{\to}{\mu}L = \dfrac{eL}{2m}
  2. Bμ→L=−eL2m\overset{\to}{\mu}L = - \dfrac{eL}{2m}
  3. Cμ→L=−eL→m\overset{\to}{\mu}L = - \dfrac{e\overset{\to}{L}}{m}
  4. Dμ→L=2eL→m\overset{\to}{\mu}L = \dfrac{2e\overset{\to}{L}}{m}

Correct answer

B. μ→L=−eL2m\overset{\to}{\mu}L = - \dfrac{eL}{2m}

Step-by-step solution

When a charged body is rotating in a circle, the ratio of magnetic moment and angular momentum is given by,

μ→L→=q2m\overset{\to}{\mu}\overset{\to}{L} = \dfrac{q}{2m}

The charge of electron q=−eq = - e

μ→=−e2mL→\overset{\to}{\mu} = - \dfrac{e}{2m}\overset{\to}{L}

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