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
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a
10003C
b
20003 C
c
75∘c
d
503 ∘c
answer is B.
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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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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