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# A positive charge 'q' of mass 'm' is moving along the +x axis. We wish to apply a uniform magnetic field B for time Δt, so that the charge reverses its direction, crossing the y axis at a distance d. Then:B=mvqd and Δt=πdvB=mv2qd and Δt=πd2vB=2mvqd and Δt=πd2vB=2mvqd and Δt=πdv

A
B=mvqd and Δt=πdv
B
B=2mvqd and Δt=πdv
C
B=mv2qd and Δt=πd2v
D
B=2mvqd and Δt=πd2v
Solution
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#### To change the direction of charge, a force needs to be applied such that,qvB=mv2r where r=d/2Therefore,B=2mvqdTotal displacement is d when charge travels for time, δtTherefore,δt=πd2v

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