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Two rods AB and BC of same cross sectional area but of length $l and 2 l$ are joined end to end as shown in figure. The coefficients of thermal conductivity of the rods are 2K and 3K respectively. Then in steady state temperature of junction B is

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56.2 0C

72.4 0C

42.8 0C

65.7 0C

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detailed solution

Correct option is D

In steady state, 2K.A.100−θl=3K.A.θ−202l⇒4100−θ=3θ−20⇒θ=65.7 0C

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Two rods AB and BC of same cross sectional area but of length l and 2lare joined end to end as shown in figure. The coefficients of thermal conductivity of the rods are 2K and 3K respectively. Then in steady state temperature of junction B is

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Ready to Test Your Skills?

free study material

Two rods AB and BC of same cross sectional area but of length $l and 2 l$ are joined end to end as shown in figure. The coefficients of thermal conductivity of the rods are 2K and 3K respectively. Then in steady state temperature of junction B is