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JEE Main 2022 (24 Jun, Shift 2) · Moving Charge in a Magnetic Field

Moving Charge in a Magnetic Field question from JEE Main 2022 (24 Jun, Shift 2)

Q57JEE Main 2022 · 24 JUN · SHIFT 2Medium

Moving Charge in a Magnetic Field

A proton, a deuteron and an $\alpha$ -particle with same kinetic energy enter into a uniform magnetic field at right angle to magnetic field. The ratio of the radii of their respective circular paths is:

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Answer: (d)

Equal $K$ : $r = \dfrac{\sqrt{2mK}}{qB} \Rightarrow r \propto \dfrac{\sqrt{m}}{q}$ .
Proton: $\dfrac{\sqrt{1}}{1} = 1$ ; deuteron: $\dfrac{\sqrt{2}}{1} = \sqrt{2}$ ; alpha: $\dfrac{\sqrt{4}}{2} = 1$ .
So the answer is (d) $1 : \sqrt{2} : 1$ .

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