Question

# A charged particle of charge +q, mass m is moving with initial velocity 'v' as shown in figure in a uniform magnetic field B(−k). Select the correct alternative / alternatives :

A
Time for which the particle was in magnetic field is πm6qB
B
Time for which the particle was in magnetic field is πm3qB
C
Distance travelled in magnetic field is πmv6qB
D
The particle will never come out of magnetic field
Solution
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#### Refer to the figure.angle between the initial velocity and the boundary of the field =300∠AOC=600Thus, the particle trajectory subtends an angle of 600 at the center of the circle.∴ time spent by the particle inside the magnetic field is 16th the time period T.Since T=2πmqB, time spent inside the magnetic field is 16×2πmqB=πm3qB

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