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PhysicsMediumMCQ2012 · Offline

Q19.Proton, Deuteron and alpha particle of the same kinetic energy are moving in circular trajectories in a constant magnetic field. The radii of proton, deuteron and alpha particle are respectively rp, rd and rα . Which one of the following relations is correct? (1) rα = rp = rd (2) rα = rp < rd (3) rα > rd > rp (4) rα = rd > rp

What This Question Tests

The problem involves relating the radius of a charged particle's trajectory in a magnetic field to its kinetic energy and then comparing these radii for a proton, deuteron, and alpha particle.

Concepts Tested

Lorentz forceCentripetal forceKinetic energyMomentumMass and charge of subatomic particles

Formulas Used

r = mv/(qB)

KE = p²/(2m)

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