An $\alpha$ particle is moving along a circle of radius $R$ with a constant angular velocity $\omega $. Point $A$ lies in the same plane at a distance $2R$ from the centre. Point $A$ records magnetic field produced by $\alpha$ particle. If the minimum time interval between two successive times at which $A$ records zero magnetic field is $‘t’,$ find the angular speed $\omega $, in terms of $t.$
Diffcult
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$\cos \,\theta = \frac{R}{{2R}} \Rightarrow \frac{\pi }{3};\,\,\,\omega = \frac{{2\theta }}{t} = \frac{{2\pi }}{{3t}}$
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