Physics

Problem

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 the point

C

T_c

. Assuming that only heat conduction takes place,

T_c/T

is [1995S] a.

\frac{1}{2(\sqrt{2}-1)}

\frac{3}{\sqrt{2}+1}

\frac{1}{\sqrt{3}(\sqrt{2}-1)}

\frac{1}{\sqrt{2}+1}