$(a)\;30\;mA \\ (b)\;6 \pi^2 mA \\(c)\;6 \;mA \\(d)\;30 \pi ^2 mA $

The induced emf $e_o$

$e_o=WNBA$

where $w=2 \pi v$

$\qquad= 2 \times \pi \large\frac{200}{60}$

$R=\pi^2$ ohms,radius $r=0.3\;m$

$i_0=\large\frac{e_o}{R}$

$\qquad= \large\frac{2 \pi \times \Large\frac{200}{60} \times \large 1 \times 10^{-2} \pi (0.3)^2}{\pi^2}$

$\qquad= 6 \times 10^{-3}$

$\qquad= 6\;mA$

Hence c is the correct answer.

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