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PhysicsMediumMCQ2021 · 27 Aug Shift 1

Q13.Two ions of masses 4 amu and 16 amu have charges +2 e and +3 e respectively. These ions pass through the region of the constant perpendicular magnetic field. The kinetic energy of both ions is the same. Then: (1) lighter ion will be deflected less than heavier ion (2) lighter ion will be deflected more than heavier ion (3) both ions will be deflected equally (4) no ion will be deflected

What This Question Tests

This question tests the relationship between the radius of a charged particle's path in a magnetic field, its kinetic energy, mass, and charge, to compare the deflection of two different ions.

Concepts Tested

Lorentz forceRadius of circular path in magnetic fieldKinetic energy of charged particle

Formulas Used

r = mv / (qB)

K = (1/2)mv²

mv = √(2mK)

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