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Q.

A particle of mass m and charge q is lying at the origin in a uniform magnetic field B directed along the x – axis. At time t = 0, It is given a velocity ‘v’ at an angleθ with the y – axis in the xy – plane. The co – ordinates of the particle after one revolution are

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a

(0.0.0)

b

(0,02πmvsinθBq)

c

(2πmvsinθBq,0,0)

d

(0,2πmv2cosθBq,0)

answer is D.

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Detailed Solution

Question Image

x=pitch=TVcos(90−θ)

=TVsinθ   ∵ T = timeperoid = 2πmBq

=2πmBqvsinθ

(x,0,0)=(2πmBqvsinθ,0,0)

The coordinates of particle after one revolution

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