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An ideal gas is enclosed in a cylinder f...

An ideal gas is enclosed in a cylinder fitted with a frictionless piston. The piston is connected with a light rod to one plate of capacitor whose other plate is fixed as shown. Initially volume of the gas inside the cylinder is `V_0` Atmospheric pressure is `P_0` separation between the plates is L, area of the piston as well as of the capacitor plates is A and emf of battery is `epsilon` . A heater supplies heat to the gas so that pressure of the gas is given as `P=P_(0)-("n"epsilon_0epsilon^2)/L^2` when piston is displaced by a distance `L/2` . Find value of n.

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