Three rods of same dimensions have thermal conductivities 3 K , 2 K and K . They are arranged as shown in the figure below. Then in the steady state the temperature of the junction ' P ' is

Question

Three rods of same dimensions have thermal conductivities 3 K , 2 K and K . They are arranged as shown in the figure below. Then in the steady state the temperature of the junction ' P ' is, 200 3 ° C, 100 3 ° C, 75 ° C, 50 3 ° C

MARKS App · Accepted Answer

Recall the formula of heat transfer is, Q = K A ∆ T L Q 1 = Q 2 + Q 3 3 K A 100 - T L = 2 K A T - 50 L + K A T L 3 × 100 - 3 T = 2 T - 2 × 50 + T 400 = 6 T T = 200 3 ° C

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