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MHT CET 2020 (16 Oct, Shift 1) · Moving Charge in a Magnetic Field

Moving Charge in a Magnetic Field question from MHT CET 2020 (16 Oct, Shift 1)

Q77MHT CET 2020 · 16 OCT · SHIFT 1Medium

Moving Charge in a Magnetic Field

A charged particle is moving in a uniform magnetic field in a circular path of radius $R$ . When the energy of the particle becomes three times the original, the new radius will be

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Answer: (b)

$r = \dfrac{\sqrt{2mK}}{qB} \Rightarrow r \propto \sqrt{K}$
$K' = 3K \Rightarrow r' = \sqrt{3}\,R$
So the answer is (b) $\sqrt{3}R$ .

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