9303753286127016 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 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

 The angular momentum L of the particle is given by L=mr2w

where w=2πn.

∴ Frequency n = w/2π

Further i = q × n = wq/2π

Magnetic Moment, M = iA = wq/2π × πr2

∴ M = wqr2/2

So, M/L = wqr2/2mr2w = 2mq

Thus, the required ratio depends upon both q and m.
Balkishan Agrawal

At the helm of GMS Learning is Principal Balkishan Agrawal, a dedicated and experienced educationist. Under his able guidance, our school has flourished academically and has achieved remarkable milestones in various fields. Principal Agrawal’s vision for the school is centered on providing a nurturing environment where every student can thrive, learn, and grow.

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