WBJEE 2014 Physics Solved Paper

A heating element of resistance r is fitted inside an adiabatic cylinder which carries a frictionless piston of mass mand cross-section A as shown in diagram. The cylinder contains one mole of an ideal diatomic gas. The current flowsthrough the element such tha the temp rature rises with time t as ΔT = αt + βt2 (α and β are constants), whilepressure remains constan The atmospheric pressure above the piston is P0. Then