Three rods of identical cross-sectional area and made from the same metal form the sides of an isosceles triangle $ABC$,right-angled at $B$. The points $A$ and $B$ are maintained at temperatures $T$ and $\sqrt{2}T$ respectively. In the steady state,the temperature of point $C$ is $T_C$. Assuming that only heat conduction takes place,$\frac{T_C}{T}$ is equal to
- A$\frac{1}{(\sqrt{2} + 1)}$
- B$\frac{3}{(\sqrt{2} + 1)}$
- C$\frac{1}{2(\sqrt{2} - 1)}$
- D$\frac{1}{\sqrt{3}(\sqrt{2} - 1)}$
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