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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

a
10003C
b
20003 C
c
75∘c
d
503  ∘c

detailed solution

Correct option is B

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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