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PhysicsMediumMCQ2019 · 09 Jan Shift 2

Q19.A particle having the same charge as of electron moves in a circular path of radius 0.5 cm under the influence of a magnetic field of 0.5 T. If an electric field of 100 V/m makes it to move in a straight path, then the mass of the particle is (Given charge of electron = 1.6 × 10−19C ) (1) 9.1 × 10−31 kg (2) 1.6 × 10−27 kg (3) 2.0 × 10−24 kg (4) 1.6 × 10−19 kg

What This Question Tests

This question combines the principles of force balance in combined electric and magnetic fields (velocity selector) to determine the particle's velocity, and then uses the magnetic force as centripetal force for circular motion to find the particle's mass.

Concepts Tested

Lorentz forceMagnetic forceElectric forceCentripetal forceVelocity selector

Formulas Used

F_E = qE

F_B = qvB

qvB = mv²/r

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