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(C) Magnetic field,$B = 0.025 \, T$. Radius of the loop,$r = 2 \, cm = 2 	imes 10^{-2} \, m$. Constant rate at which the radius of the loop shrinks,$

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$\pi \, \mu V$

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(C) Magnetic field,$B = 0.025 \, T$. Radius of the loop,$r = 2 \, cm = 2 	imes 10^{-2} \, m$. Constant rate at which the radius of the loop shrinks,$\frac{dr}{dt} = 1 	imes 10^{-3} \, m/s$. Magnetic flux linked with the loop is $\phi = B A \cos 	heta = B(\pi r^2) \cos 0^{\circ} = B \pi r^2$. The magnitude of the induced $e.m.f.$ is $|\varepsilon| = \frac{d\phi}{dt} = \frac{d}{dt}(B \pi r^2) = B \pi (2r) \frac{dr}{dt}$. Substituting the values: $|\varepsilon| = 0.025 	imes \pi 	imes 2 	imes (2 	imes 10^{-2}) 	imes (1 	imes 10^{-3})$. $|\varepsilon| = 0.025 	imes \pi 	imes 4 	imes 10^{-5} = 0.1 	imes 10^{-5} 	imes \pi = 1 	imes 10^{-6} \pi \, V$. $|\varepsilon| = \pi \, \mu V$.

$A$ conducting circular loop is placed in a uniform magnetic field,$B = 0.025 \, T$,with its plane perpendicular to the magnetic field. The radius of the loop is made to shrink at a constant rate of $1 \, mm/s$. The induced $e.m.f.$ when the radius is $2 \, cm$ is

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