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  4. A proton, an electron, and a Helium nucleus, have the same energy. They are in circular orbits in a plane due to magnetic field perpendicualr to the plane. Let rp, re and rHe be their respective radii, then,

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Q. A proton, an electron, and a Helium nucleus, have the same energy. They are in circular orbits in a plane due to magnetic field perpendicualr to the plane. Let $r_p, r_e$ and $r_{He}$ be their respective radii, then,

JEE MainJEE Main 2019Moving Charges and Magnetism

Solution:

$r = \frac{mv}{qB} = \frac{\sqrt{2mK}}{qB} $
$ r_{He} = r_{p } > r_{e} $