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Physics-

General

Easy

Question

Four identical rods AB,CD,CF and DE are connected as shown in figure. The length, cross- sectional area and thermal conductivity of each rod are L,A, K respectively. The ends A, E, F are maintained at temperature $T subscript 1 end subscript comma text end text T subscript 2 end subscript$ and $T subscript 3 end subscript$ respectively. Assuming no loss of heat to the atmosphere, calculate the temperature at B [CB = BD].

$\frac{T_{1} + T_{2} + T_{3}}{3}$
$\frac{2 T_{1} + 3 T_{2} + 5 T_{3}}{5}$
$\frac{3 T_{1} + 2 T_{2} + 2 T_{3}}{7}$
$\frac{T_{1} + 2 T_{2} + 3 T_{3}}{5}$

The correct answer is: $fraction numerator 3 text end text T subscript 1 end subscript plus 2 text end text T subscript 2 end subscript plus 2 text end text T subscript 3 end subscript over denominator 7 end fraction$

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