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JEE Main 2022 (26 Jun, Shift 1) · Moving Charge in a Magnetic Field

Moving Charge in a Magnetic Field question from JEE Main 2022 (26 Jun, Shift 1)

Q53JEE Main 2022 · 26 JUN · SHIFT 1Easy

Moving Charge in a Magnetic Field

A proton and an alpha particle of the same velocity enter in a uniform magnetic field which is acting perpendicular to their direction of motion. The ratio of the radii of the circular paths described by the alpha particle and proton is:

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Answer: (c)

$r = \dfrac{mv}{qB} \Rightarrow r \propto \dfrac{m}{q}$ for the same $v$
$\dfrac{r_\alpha}{r_p} = \dfrac{4m/2e}{m/e} = 2$
So the answer is (c) $2:1$ .

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