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Q.

A positive charge particle of mass m and charge q is projected withvelocity v as shown in figure. If radius of curvature of charge particle in magnetic field region is greater than d, then find the time spent by the charge particle in magnetic field.

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a

2mqBsin-1dqBmv

b

2mqBsin-1mvdqB

c

mqBsin-1dqBmv

d

mqBsin-1mvdqB

answer is C.

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Detailed Solution

R=mvqB,sinθ=dR=dqBmv t=2πmqBθ2π=mqBθ=mqBsin-1dqBmv
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A positive charge particle of mass m and charge q is projected withvelocity v as shown in figure. If radius of curvature of charge particle in magnetic field region is greater than d, then find the time spent by the charge particle in magnetic field.