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MHT CET202526 Apr 2025Evening ShiftPhysicsAtomic PhysicsActual

The magnetic moment of electron due to orbital motion is proportional to ( n = principal quantum number)

Options

  1. An
  2. Bn ^2
  3. C1 n
  4. D1 n ^2

Correct answer

A. n

Step-by-step solution

The orbital magnetic moment _L relates to orbital angular momentum L by _L = e L 2m_e , where e is the electron charge and m_e is the electron mass. Bohr’s quantization condition specifies L = n for principal quantum number n , with = h 2 . Substituting yields _L = e (n ) 2m_e = ( e 2m_e ) n . The constant e 2m_e defines the Bohr magneton _B , so _L = _B n . Since _B is invariant, _L n . Final answer: A

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