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NEET 2009 (AIPMT) · Moving Charge in a Magnetic Field

Moving Charge in a Magnetic Field question from NEET 2009 (AIPMT)

Q110NEET 2009 · AIPMTEasy

Moving Charge in a Magnetic Field

Under the influence of a uniform magnetic field, a charged particle moves with constant speed v in a circle of radius R. The time period of rotation of the particle

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Answer: (b)

$r = \dfrac{mv}{qB}$ , so $T = \dfrac{2\pi r}{v} = \dfrac{2\pi m}{qB}$
$T$ contains neither $v$ nor $R$ (a faster particle moves on a proportionally larger circle).
So the answer is (b) independent of both $v$ and $R$ .

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