JEE Advanced 2019 Paper 1

A current carrying wire heats a metal rod. The wire provides a constant power P to the rod. The metal rod is enclosed in an insulated container. It is observed that the temperature (T) in the metal rod changes with time (t) as T(t)=T0(1+βt

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) where β is a constant with appropriate dimensions while T0 is a constant with dimensions of temperature. The heat capacity of metal is