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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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a

56.2  0C

b

72.4  0C

c

42.8  0C

d

65.7  0C

answer is D.

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Detailed Solution

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