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An α particle is moving along a circle of radius R with a constant angular velocity . Point A lies in the same plane at a distance 2R from the centre. The point A records magnetic field produced by α particle. If the minimum time interval between two successive times at which A records zero magnetic field is ‘t’, the angular speed ω, in terms of t is:

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a

2πt

b

2π3t

c

π3t

d

πt

answer is B.

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Detailed Solution

‘A’ records zero magnetic field when α particle is moving on a line which passes through A, which happen when tangent to path passes through A. Angle covered between two such point B and C=2π3 as shown in figure.Time taken to go from B to C is given as t=T3=2πω13⇒ω=2π3t

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An α particle is moving along a circle of radius R with a constant angular velocity . Point A lies in the same plane at a distance 2R from the centre. The point A records magnetic field produced by α particle. If the minimum time interval between two successive times at which A records zero magnetic field is ‘t’, the angular speed ω, in terms of t is: