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A current carrying wire heats a metal rod. The wire produces a constant power P to the rod. The metal rod is enclosed in an insulated conatainer. It is observed that the temperature (T) in the metal rod changes with time t as T(t)=T0(1+βt1/4) where β is a constant with appropriate dimension of temperature. The heat capacity of the metal is:

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A current carrying wire heats a metal rod. The wire produces a constant power P to the rod. The metal rod is enclosed in an insulated conatainer. It is observed that the temperature (T) in the metal rod changes with time t as T(t)=T0(1+βt1/4) where β is a constant with appropriate dimension of temperature. The heat capacity of the metal is:



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