Q.

Three rods of same dimensions have thermal conductivities 3K, 2K and K, they are arranged as shown in the figure, then the temperature of the junction (T) in steady state is

Moderate

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By Expert Faculty of Sri Chaitanya

10003C

20003 C

75∘c

503 ∘c

answer is 2.

(Detailed Solution Below)

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Detailed Solution

amount of heat flowing from left to right at the junction is distributed between two rodsamount of heat flow in first rod is Q=2K(A)(T-50)tl+KAT-0tl=3K(A)(100-T)tl----(1)so T=2000c3 Q heat is distributed by the other two rods k is coefficient of thermal conductivity θ2,θ1 are temperatures t is time l is length of the rod

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