Two chunks of metal with heat capacities and are interconnected by a rod of length

PHYSICS · Subjective · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

Two chunks of metal with heat capacities C1C_1 and C2C_2 are interconnected by a rod of length ll, cross-sectional area AA, and thermal conductivity kk. The whole system is thermally insulated from the environment. At time t=0t=0, the temperature difference between the chunks is (ΔT)0(\Delta T)_0. Assuming the heat capacity of the rod is negligible, find the temperature difference between the chunks as a function of time.

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