JEE Main | 2014Heat TransferHard

Question

Three rods of copper, brass and steel are welded together to form a Y-shaped structure. Area of crossseciton of each rod = 4 cm2. End of copper rod is maintained at 100oC whereas ends of brass and steel are kept at 0oC. Lengths of the copper, brass and steel rods are 46, 13 and 12 cm respectively. The rods are thermally insulated from surroundings except at ends. Thermal conductivities of copper, brass and steel are 0.92, 0.26 and 0.12 CGS units respectively. Rate of heat flow through copper rod is

Options

A.1.2 cal/s
B.2.4 cal/s
C.4.8 cal/s
D.6.0 cal/s

Solution

     
Q = Q1 + Q2

⇒     200 - 2T = 2T + T
⇒     T = 40oC
⇒     Q = = 4.8 cal/s

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