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PhysicsMediumMCQ2022 · 24 Jun Shift 2

Q16.A proton, a deuteron and an α-particle with same kinetic energy enter into a uniform magnetic field at right angle to magnetic field. The ratio of the radii of their respective circular paths is : (1) 1 : √2 : √2 (2) 1 : √2 : 1 (3) √2 : 1 : 1 (4) None of these

What This Question Tests

This question requires relating the radius of the circular path of a charged particle in a magnetic field to its momentum and charge, then expressing momentum in terms of kinetic energy and mass to find the ratio of radii.

Concepts Tested

Magnetic force on charged particleRadius of circular pathKinetic energyMomentum

Formulas Used

r = mv / (qB)

KE = p² / (2m)

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