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Q.

In the figure, ABC is a B conducting rod whose lateral  surfaces are insulated. The length of the section AB is one-half of that of BC, and the respective thermal conductivities of the two sections are given in the figure. If the ends A and C are maintained at  00C and 700C respectively, the temperature of junction B in the steady state is

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a

300C

b

600C

c

400C

d

500C

answer is A.

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Detailed Solution

Heat currents in both the rods are equal.

or    HCB=HBA

or     θC−θB(2l/3KA)=θB−θA(l/2KA)

∴ 3270−θB=2θB−0

or  θB=30∘C

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