JEE Advanced 2019 Physics question

PhysicsThermal Properties of MatterJEE Advanced 2019

A current carrying wire heats a metal rod. The wire provides a constant power () to the rod. The metal rod is enclosed in an insulated container. It is observed that the temperature () in the metal rod changes with time () as

T(t)=+β ,

where is a constant with appropriate dimension while is a constant with dimension of temperature. The heat capacity of the metal is,

Answer: (A)

Solution

All the supplied power heats the rod: . . From the given relation $=⇒

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Question ID VK-026810