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JEE Main 2003 (AIEEE) · Moving Charge in a Magnetic Field

Moving Charge in a Magnetic Field question from JEE Main 2003 (AIEEE)

Q121JEE Main 2003 · AIEEEEasy

Moving Charge in a Magnetic Field

A particle of mass $M$ and charge $Q$ moving with velocity $\vec{v}$ describes a circular path of radius $R$ when subjected to a uniform transverse magnetic field of induction $B.$ The net work done by the field when the particle completes one full circle is

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Answer: (b)

Magnetic force $QvB$ always points to the centre, perpendicular to the displacement.
$W = \oint \vec{F} \cdot d\vec{s} = 0$
So the answer is (b) zero.

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