A particle of charge 'q' and mass 'm' moves in a circular orbit of radius 'r' with angular speed ' ω '. The ratio of the magnitude of its magnetic moment to that of its angular momentum depends on (a) ω and q (b) ω and m (c) q and m (d) ω, q and m

Answer: (c). μ = (qω r²)/(2) and L = mω r². μ/L = q/2m: depends only on q and m, so the answer is (c).

A particle of charge 'q' and mass 'm' moves in a circular orbit of… | MHT CET 2021 (24 Sep, Shift 2)

Q49MHT CET 2021 · 24 SEP · SHIFT 2Easy

Current Loop as a Magnetic Dipole

A particle of charge 'q' and mass 'm' moves in a circular orbit of radius 'r' with angular speed ' $\omega$ '. The ratio of the magnitude of its magnetic moment to that of its angular momentum depends on

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Answer: (c)

$\mu = \frac{q\omega r^2}{2}$ and $L = m\omega r^2$ .
$\frac{\mu}{L} = \frac{q}{2m}$ : depends only on $q$ and $m$ , so the answer is (c).

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