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MHT CET 2026 (17 Apr, Shift 1) · Bohr Model: Orbits, Speed & Angular Momentum

Bohr Model: Orbits, Speed & Angular Momentum question from MHT CET 2026 (17 Apr, Shift 1)

Q11MHT CET 2026 · 17 APR · SHIFT 1Easy

Bohr Model: Orbits, Speed & Angular Momentum

The orbital magnetic moment (morb)(m_{orb}) of a revolving electron around the nucleus varies with the principal quantum number (nn) as

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Answer: (b)

  1. morb=IA=ev2πrπr2=evr2=eL2mm_{orb} = IA = \frac{ev}{2\pi r}\pi r^2 = \frac{evr}{2} = \frac{eL}{2m}
  2. L=nh2πL = \frac{nh}{2\pi}, so morb∝nm_{orb} \propto n.
  3. So the answer is (b) morb∝nm_{orb} \propto n.
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