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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

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By Expert Faculty of Sri Chaitanya
a
10003C
b
20003 C
c
75∘c
d
503  ∘c
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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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Two rods of length d1 and d2 and coefficients of thermal conductivities K1 and K2 are kept touching each other. Both have the same area of cross-section. The equivalent of thermal conductivity is

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