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Q.

Three rods of same dimensions have thermal conductivity 3K, 2K and K. They are arranged as shown in the figure below. Then, the temperature of the junction in steady state is x3C  0. The value of x is

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answer is 200.

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Detailed Solution

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Let, the temperature at of contact of three rod is T

We know that, heat flow  Q=K1A(ΔT)1L=K2A(ΔT)2L+K3A(ΔT)3L

3(100−T)=2(T-50)+T,300−3T=2T-100+T300−3T =3T -100400 =6T T=2003∘C

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