There is a uniform magnetic field B in a circular region of radius R as shown in figure whose magnitude changes at the rate of $\frac{dB}{dt}$ . The e.m.f. induced across the ends of a circular concentric conducting arc of radius R1 having an angle $θ$ as shown $(∠ {OAO}^{'} = θ)$ is

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$\frac{θ}{2 π} R^{2} \frac{dB}{dt}$

$\frac{θ}{2 π} R_{1}^{2} \frac{dB}{dt}$

$\frac{θ}{2} R^{2} \frac{dB}{dt}$

None of these

answer is B.

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Required emf
$I = \frac{dq}{dt} = \frac{1}{2} {πω}^{2} a^{2} CBcos (ωt)$

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