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JEE Main 2022 (29 Jun, Shift 1) · Moving Charge in a Magnetic Field

Moving Charge in a Magnetic Field question from JEE Main 2022 (29 Jun, Shift 1)

Q52JEE Main 2022 · 29 JUN · SHIFT 1Easy

Moving Charge in a Magnetic Field

A charge particle moves along circular path in a uniform magnetic field in a cyclotron. The kinetic energy of the charge particle increases to 4 times its initial value. What will be the ratio of new radius to the original radius of circular path of the charge particle:

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Answer: (c)

$r = \dfrac{mv}{qB} = \dfrac{\sqrt{2mK}}{qB} \Rightarrow r \propto \sqrt{K}$
$\dfrac{r'}{r} = \sqrt{4} = 2$
So the answer is (c) $2:1$ .

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