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An iron bar (L(1) = 0.1 m, A(1) = 0.02 m...

An iron bar (`L_(1) = 0.1 m, A_(1) = 0.02 m^(2) , K_(1) = 79 Wm^(-1) K^(-1)`) and a brass bar `(L_(2)=0.1 m , A_(2) = 0.02 m^(2), K_(2) = 109 Wm^(-1)K^(-1)`) are soldered end to end as shown in fig. the free ends of iron bar and brass bar are maintained at 373 K and 273 K respectively. Obtain expressions for and hence compute (i) the temperature of the juction of the two bars, (ii) the equivalent thermal conductivity of the compound bar and (iii) the heat current through the compound bar.
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An iron bar (L_(1)=0.1" m",A_(1)=0.02" m"^(2),K_(1)=97" Wm"^(-1)K^(-1)) and a brass bar (L_(2)=0.1" m",A_(2)=0.02" m"^(2),K_(2)=109" W m"^(-1)K^(-1)) are soldered end to end as shown in figure. The free ends of the iron bar and brass bar are maintained at 373 K and 273 K respectively. Obtain expressions for and hence compute (i) the temperature of the junction of the two bars, (ii) the equivalent thermal conductivity of the compound bar, and (iii) the heat current through the compound bar.

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