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Physics - Magnetism Question with Solution | TestHub

PhysicsMagnetismMagnetic Dipole & MomentEasy2 minPYQ_2020

PhysicsEasysingle choice

Two particles, each of mass $m$ and charge $q$ , are attached to the two ends of a light, rigid rod of length $2 R$ . The rod is rotated at a constant angular speed, about a perpendicular axis passing through its centre. The ratio of the magnitudes of the magnetic moment of the system and its angular momentum about the centre of the rod is

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Answer:

Solution:

Current, $i$ = (frequency) (charge)

$= (\frac{ω}{2 π}) (2 q) = \frac{q ω}{π}$

Magnetic moment,

$M = (i) (A) = (\frac{q ω}{π}) (π R^{2}) = (q ω R^{2})$

Angular momentum,

$L = 2 I ω = 2 ({mR}^{2}) ω$

$∴$ $\frac{M}{L} = \frac{q ω R^{2}}{2 ({mR}^{2}) ω} = \frac{q}{2 m}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:MagnetismSubtopic:Magnetic Dipole & Moment

⏱ 2mℹ️ Source: PYQ_2020

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