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PhysicsHardMCQ2020 · 06 Sep Shift 1

Q12.A particle of charge q and mass m is moving with a velocity −vˆi(v ≠0) → Y −Z plane at distance d. If there is magnetic field B = B0ˆk, the minimum value of v for which the particle will not hit the screen is : (1) qdB0 (2) 2qdB0 3m m (3) qdB0 (4) qdB0 m 2m

What This Question Tests

This question requires analyzing the 3D motion of a charged particle in a uniform magnetic field, specifically determining the minimum velocity required for it to avoid hitting a screen, by calculating the radius of its helical path.

Concepts Tested

Lorentz forceCircular motion in magnetic fieldRadius of curvatureVelocity components

Formulas Used

F = q(v x B)

F_magnetic = mv^2/r

r = mv/(qB)

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