A metallic semi circular ring of radius \( R \) is hanged such that it is free to rotate about h...

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A metallic semi circular ring of radius \( R \) is hanged such that it is free to rotate about hinge in uniform magnetic field \( B \) as shown in figure. Value of induced emf between the terminal of the ring when its diameter becomes vertical, after we cut the string, will be
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(a) \( 2 B \sqrt{R^{3} g} \)
(b) \( 2 B \sqrt{R^{3} g\left(1-\frac{2}{\pi}\right)} \)
(c) \( 2 B \sqrt{R^{3} g\left(\frac{2}{\pi}\right)} \)
(d) None of these
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