three rods of identical cross-sectional area and made from the same material from the sides of an is

Question

three rods of identical cross-sectional area and made from the same material from the sides of an isoscales traangles ABC, right angled at B. The point A and B are maintained at temperatures T and (&#8730;2)T respectively. In the steady state, the temperature of the point C is Tc. Assuming that only head conduction take place, Tc / T is

Accepted Answer

The diagramatic representation of the given problem is shown in figure. Since, T_A / T_B the heat will flow B to A. Similarly, heat will also flow from B to C and C to A. Applying the conduction formula

To the sides CA and BC, we get

⇒

3T = T_C(√2 + 1)
⇒

∴ Correct option is (b).

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