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Q.

Three rods of the same dimensions have thermal conductivities 3 K,2 K and K. They are arranged as shown, with their ends at 100oC, 50oC and 0oC. The temperature of their junction is :

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a

75∘C

b

2003∘C

c

40∘C

d

1003=C

answer is B.

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Detailed Solution

R∝1 Thermal conductivity R1=R3,R2=R2,R3=Ri=i1+i2100−θR/3=θ−50R/2+θ−0R300−3θ=2θ−100+θ6θ=400⇒θ=2003∘C
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