In the cyclotron, as radius of the circular path of the charged particle increases, ( ω = angular velocity, V = linear velocity) (a) V increases, ω decreases. (b) V increases, ω remains constant. (c) only ω increases, V remains constant. (d) both ω and V increase.

Answer: (b). Angular frequency ω = qB/m: independent of radius, so it stays constant. V = ω r, so V increases as r increases. So the answer is (b) V increases, ω remains constant.

In the cyclotron, as radius of the circular path of the charged… | MHT CET 2026 (17 Apr, Shift 2)

Q7MHT CET 2026 · 17 APR · SHIFT 2Easy

Moving Charge in a Magnetic Field

In the cyclotron, as radius of the circular path of the charged particle increases, ( $\omega$ = angular velocity, V = linear velocity)

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Answer: (b)

Angular frequency $\omega = \dfrac{qB}{m}$ : independent of radius, so it stays constant.
$V = \omega r$ , so $V$ increases as $r$ increases.
So the answer is (b) V increases, $\omega$ remains constant.

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