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Physics-

General

Easy

Question

Two metal cubes $A$ and $B$ of same size are arranged as shown in the figure. The extreme ends of the combination are maintained at the indicated temperatures. The arrangement is thermally insulated. The coefficients of thermal conductivity of $A$ and $B$ are $300 W divided by m ℃$ and $200 W divided by m ℃$ , respectively. After steady state is reached, the temperature of the interface will be

$45 ℃$
$90 ℃$
$30 ℃$
$60 ℃$

The correct answer is: $60 ℃$

Temperature of interface $T equals fraction numerator K subscript 1 end subscript theta subscript 1 end subscript plus K subscript 2 end subscript theta subscript 2 end subscript over denominator K subscript 1 end subscript plus K subscript 2 end subscript end fraction$
$equals fraction numerator 300 cross times 100 plus 200 cross times 0 over denominator 300 plus 200 end fraction equals 60 ℃$

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