A proton and a deuteron with the same initial kinetic energy enter a magnetic field in a direction perpendicular to the direction of the field. The ratio of the radii of the circular trajectories described by them is

Question

A proton and a deuteron with the same initial kinetic energy enter a magnetic field in a direction perpendicular to the direction of the field. The ratio of the radii of the circular trajectories described by them is, 1 : 4, 1 : 2, 1 : 1, 1 : 2

MARKS App · Accepted Answer

For a moving charge in a perpendicular magnetic field, m v 2 r = B q v ⇒ r = m v B q = p B q = 2 m K q B r p r d = m p m d = 1 2 = 1 2

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