Magnetic field due to currentHard

Question

A proton, a deutron and an α - particle having the same kinetic energy are moving in circular trajectories in a constant magnetic field. If rp, rd and rα denote respectively the radii of the trajectories of these particles, then

Options

A.rα = rp > rd
B.rα > rd > rp
C.rα = rd > rp
D.rα = rd = rp

Solution

Radius of the circular path is given by

Here, K is the kinetic energy to the particle
Therefore, f K and B are same
∴    rp : rd : rα
Hence, rα = rp < rd.

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