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In the arrangement shown, a gas is filled inside a balloon, which is placed in a vertical magnetic field of intensity \(B\). The initial volume of balloon is \(V_{o}\) and the gas is filled inside it at the rate of \(a~m^{3}/s\). If there is no leakage, the emf induced (in mV) at \(t=\frac{\pi}{8}~sec\), in a conducting ring which is elastic and placed horizontally along the circumference of balloon is \(n\).

[Take \(B=1.5~T,~V_{o}=(20 \pi)m^{3},~a=2\)]

\(\large{Find~n}\)

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