A proton and an $\alpha -$ particle (with their masses in the ratio of $1 : 4$ and charges in the ratio of $1:2$ 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
  • A$1: \sqrt 2$
  • B$1 : 2$
  • C$1 : 3$
  • D$1: \sqrt 3$
JEE MAIN 2019, Medium
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