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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Magnetic Properties of Matter

NTA Abhyas 2020 · Physics · Magnetic Properties of Matter

An electron of charge e is moving in a circular orbit of radius r...

An electron of charge ee is moving in a circular orbit of radius rr around a nucleus, at a frequency υυ. The& magnetic moment associated with the orbital motion of the electron is

Options

  1. A2πυer22\piυer^{2}
  2. Bπυr22\dfrac{\piυr^{2}}{2}
  3. C\pieυr2\pieυr^{2}
  4. Dπυr24\dfrac{\piυr^{2}}{4}

Correct answer

C. \pieυr2\pieυr^{2}

Step-by-step solution

The equivalent current due to the motion of the electron is&

i=eυi = eυ

So, the magnetic moment will be

M=i×\pir2=\pieυr2M = i \times \pir^{2} = \pieυr^{2}

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