JEE Main · 2022 · 24 Jun 2022 · Shift 2 · Magnetic Effects of Current

A proton, a deuteron and an

α

-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 :

(A) $1 : 2 : 2$
(B) $1 : 1 : 2$
(C) $2 : 1 : 1$
(D) $1 : 2 : 1$ ✓ Correct

Answer: (D)

Solution

Radius of circular path:

R = \frac{m v}{q B} = \frac{2 K m}{q B} \propto \frac{m}{q}

. For proton (m, e), deuteron (2m, e), and

α

-particle (4m, 2e):

R_{p} : R_{d} : R_{α} = \frac{m}{e} : \frac{2 m}{e} : \frac{4 m}{2 e} = 1 : 2 : 1

JEE Main · 2022 · 24 Jun 2022 · Shift 2 · Single correct option

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