$A$ metallic rod of length $l$ is tied to a string of length $2l$ 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
- A$\frac{2B\omega l^2}{2}$
- B$\frac{3B\omega l^2}{2}$
- C$\frac{4B\omega l^2}{2}$
- D$\frac{5B\omega l^2}{2}$
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