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JEE Main 2012 (AIEEE) · Moving Charge in a Magnetic Field

Moving Charge in a Magnetic Field question from JEE Main 2012 (AIEEE)

Q105JEE Main 2012 · AIEEEMedium

Moving Charge in a Magnetic Field

Proton, deuteron and alpha particle of same kinetic energy are moving in circular trajectories in a constant magnetic field. The radii of proton, deuteron and alpha particle are respectively $r_p, r_d$ and $r_\alpha$ . Which one of the following relations is correct?

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Answer: (b)

Equal $K$ : $r \propto \dfrac{\sqrt{m}}{q}$ .
Proton: $1$ ; deuteron: $\sqrt{2}$ ; alpha: $\dfrac{\sqrt{4}}{2} = 1$ .
So $r_\alpha = r_p < r_d$ .
So the answer is (b).

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