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An $α - particle$ is moving along a circle of radius R with a constant angular velocity $ω$ . Point A lies in the same plane at a distance 2R from the centre. 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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$\frac{2 π}{t}$

$\frac{2 π}{3 t}$

$\frac{π}{3 t}$

$\frac{π}{t}$

answer is B.

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Detailed Solution

Point A shall record zero magnetic field when the $α - particle$ is at position P and Q as shown in figure. The time taken by $α - particle$ to go from P to Q is

$t = \frac{T}{3} = \frac{1}{3} \times \frac{2 π}{ω} ⇒ω= \frac{2 π}{3 t}$

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