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PhysicsMediumMCQ2018 · 08 Apr

Q21.An electron, a proton and an alpha particle having the same kinetic energy are moving in circular orbits of radii re, rp, rα respectively in a uniform magnetic field B. The relation between re, rp, rα is: (1) re < rα < rp (2) re > rP = rα (3) re < rp = rα (4) re < rp < rα

What This Question Tests

This question tests the ability to derive the expression for the radius of a charged particle's path in a magnetic field in terms of kinetic energy and then compare the radii for different particles.

Concepts Tested

Force on a charged particle in a magnetic fieldRadius of circular pathKinetic energy

Formulas Used

r = mv / (qB)

K = ½mv²

r = √(2Km) / (qB)

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