A metallic rod of length \( \ell \) is tied to a string of length \( 2 \ell \) and made to rot...

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A metallic rod of length \( \ell \) is tied to a string of length \( 2 \ell \) 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 \( B \) in the region, the e.m.f. induced across the ends of the rod is:
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