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A metallic rod of length ' \( l \) ' is tied to a string of length 21 and made to rotate with angular speed \( \omega \) on a horizontal table with one end of the string fixed. If there is a vertical magnetic field ' \( \mathrm{B} \) ' in the region, the
\( \mathrm{P} \) e.m.f. induced across the ends of the rod is:

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- (A) \( \frac{3 \mathrm{~B} \omega l^{2}}{2} \)
(B) \( \frac{4 \mathrm{~B} \omega l^{2}}{2} \)
(C) \( \frac{5 \mathrm{~B} \omega l^{2}}{2} \)
(D) \( \frac{2 \mathrm{~B} \omega l^{2}}{2} \)
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