Equal-length cylindrical rods of copper ( ) and steel ( ) connect identical hot ( )…

PHYSICS · Single correct · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

Equal-length cylindrical rods of copper (k=400 W m−1 K−1k = 400\,\text{W}\,\text{m}^{-1}\,\text{K}^{-1}) and steel (k=50 W m−1 K−1k = 50\,\text{W}\,\text{m}^{-1}\,\text{K}^{-1}) connect identical hot (100∘ ⁣C100^{\circ}\!\text{C}) and cold (20∘ ⁣C20^{\circ}\!\text{C}) water reservoirs. After 10 s, the temperature of the cold reservoir attached to the copper rod has risen by 5∘ ⁣C5^{\circ}\!\text{C}. Assuming the temperature difference across each rod remains constant and the rate of energy transfer is directly proportional to thermal conductivity, what temperature rise should be expected for the cold reservoir attached to the steel rod after the same time? (a) 1.0∘C1.0^{\circ}\text{C} (b) 40∘C40^{\circ}\text{C} (c) 0.6∘C0.6^{\circ}\text{C} (d) 2.5∘C2.5^{\circ}\text{C}

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