A proton, an electron, and a Helium nucleus, have same energy. They are in circular orbitals in a pl

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4.Moving Charges and Magnetism

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

A

$r_e > r_p = r_{He}$

B

$r_e > r_p > r_{He}$

C

$r_e < r_p < r_{He}$

D

$r_e < r_p = r_{He}$

(JEE MAIN-2019)

Solution

$r=\frac{m v}{q B}=\frac{\sqrt{2 m K}}{q B}$

$r_{\mathrm{He}}=r_{p}>r_{e}$

Standard 12

Physics

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