A proton, a deuteron and an α particle with the same kinetic energies enter in a region of uniform transverse magnetic field. The ratio of the radii of their circular paths is

Question

A proton, a deuteron and an α particle with the same kinetic energies enter in a region of uniform transverse magnetic field. The ratio of the radii of their circular paths is, 1 : 2 : 1, 1 : 2 : 2, 2 : 1 : 1, 2 : 2 : 1

MARKS App · Accepted Answer

Radius of circular path of proton, r p = 2 m p K e B Radius of circular path of deuteron, r d = 2 ( 2 m p ) K e B Radius of circular path of α particle, r α = 2 ( 4 m p ) K ( 2 e ) B Therefore r p : r d : r α = 1 : 2 : 1

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