# It happens!!

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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