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.

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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