Three rods of identical cross-sectional area and made from the same metal form the sides of an equilateral triangle `ABC` The points `A` and `B` are maintained at temperature `sqrt3 T` and `T` respectively In the steady state, the temperature of the point `C` is `T_(C)` Assuming that only heat conduction takes place, the value of `T_(C)//T` is equal to .

Options

A. `(1+sqrt3)/(2)`
B. `(-1sqrt3)/(2)`
C. `(1+sqrt2)/(2)`
D. `(1-sqrt2)/(2)`

Answer

A

Explanation

`((Q)/(t))_(AC)=((Q)/(t))_(CB),(KA(sqrt3T-T_(C)))/(l)=(KA(T_(C-T)))/(l)`
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