Question

A proton and an alpha particle enter at right angles in to auniform magnetic field of intensity B . Calculate theratio of the radii of their paths , when they enter the field with the same momentum?

Answer 1

solution for your questions

Answer 2

alpha particle - Helium nucleus of mass 4u and charge 2e

proton - hydrogen nucleus of mass 1u and charge 1e

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radius of circle described by charged particle in magnetic field

r = mv/qB [it can be derived by equating centripetal force with Lorentz force]

radius = momentum / charge x magnetic field

since radius is inversely proportional to charge, radius of alpha particle will be half of radius of proton.

rHe : rH = 1 : 2

Hope that it will be helpful to you