The orbital magnetic moment associated with orbiting electron of charge ' e ' is (a) inversely proportional to angular momentum (b) directly proportional to mass of electron (c) directly proportional to angular momentum (d) inversely proportional to charge on electron

Answer: (c). μ = IA = (ev)/(2π r)π r² = e/2m(mvr) = e/2mL So μ ∝ L; it is inversely (not directly) proportional to m. So the answer is (c) directly proportional to angular momentum.

The orbital magnetic moment associated with orbiting electron of… | MHT CET 2023 (11 May, Shift 2)

Q67MHT CET 2023 · 11 MAY · SHIFT 2Easy

Bohr Model: Orbits, Speed & Angular Momentum

The orbital magnetic moment associated with orbiting electron of charge ' $e$ ' is

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Answer: (c)

$\mu = IA = \frac{ev}{2\pi r}\pi r^2 = \frac{e}{2m}(mvr) = \frac{e}{2m}L$
So $\mu \propto L$ ; it is inversely (not directly) proportional to $m$ .
So the answer is (c) directly proportional to angular momentum.

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