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WBJEE 2014 Physics Solved Paper

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Question : 59

Total: 60

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

the rate of increase in internal energy is
5
2
R (α + βt)
the current flowing in the element is √
5
2r
R(α+βt)
the piston moves upwards with constant acceleration
the piston moves upwards with constant speed

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