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In the given figure shown below, a conducting circular loop of radius 'I' is placed in a uniform and perpendicular magnetic field \( B \). A metal rod \( O A \) is pivoted at centre ' \( O \) ' of the loop. The other end \( A \) of rod touches the loop. The rod \( O A \) and loop are resistanceless but a resistance ' \( R \) ' is connected between \( \mathrm{O} \) and fixed point ' \( e \) ' of loop. The rod is rotated with angular velocity \( \omega \). The current in resistance \( \mathrm{R} \) is
(1) \( \frac{\left.B \omega\right|^{2}}{R} \)
(2) \( \frac{\left.B \omega\right|^{2}}{2 R} \)
(3) \( \frac{B \omega^{2} \mid}{R} \)
(4) \( \frac{\left.B \omega^{2}\right|^{2}}{2 R} \)
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