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Q.

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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