A proton and an -particle (with their masses in the ratio of 1 : 4 and charges in the…

PHYSICS · Single correct · CBSE · Physics · Moving Charges and Magnetism · Moving Charges and Magnetism

Problem

A proton and an

\alpha

-particle (with their masses in the ratio of 1 : 4 and charges in the ratio 1 : 2) are accelerated from rest through a potential difference

V

. If a uniform magnetic field (

B

) is set up perpendicular to their velocities, the ratio of the radii

r_p : r_\alpha

of the circular paths described by them will be: (1)

1:\sqrt{2}

(2) 1:2 (3) 1:3 (4)

1:\sqrt{3}