JEE Mains Model Paper 20

A metal rod of cross- sectional area 2.0 cm2 is being heated at one end. At some instant the temperature gradient is 5.00 C / cm at cross-section. A and in 20 c / cm at cross – section B. The heat capacity of the part AB of the rod in 0.5 J / °C. Thermalconductivity of the material of the rod = 200 w / m °C. Neglect any loss of heat to the atmosphere. Calculate the rate at which the temperature is increasing in the part of AB of the rod.