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Three rods of identical cross-sectional area and made from the same metal from the sides of an isosceles triangle ABC, right-angled at B. The point A and B are maintained at temperatures T and `sqrt(2)` T respectively. In the steady state, the temperature of the point C is `T_c.` Assuming that only heat conduction takes places, `T_c//T` is

A

`(1)/(2(sqrt2-1))`

B

`(3)/(sqrt2+1)`

C

`(1)/(sqrt3(sqrt2+1))`

D

`(1)/(sqrt2+1)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • Three rods of identical area of cross-section and made from the same metal from the sides of an isosceles triangle. ABC, right angled at B. The points A and B are maintained at temperatures T and sqrt 2T RESPECTIVELY. In the steady state the temperature of the point C is T_(C) . Assuming that only heat conduction takes place , T_(C) / T is equal to

    A
    `1 / (sqrt2+1)`
    B
    `3 / (sqrt2 + 1)`
    C
    `1 / (2(2sqrt2 - 1)`
    D
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    A
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    B
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    C
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  • Three rods of identical cross-sectional area and made from the same metal form the sides of an insosceles triangle ABC right angled at B The pints A and B are maintained at temperatures T and sqrtT respectively in the steady state Assuming that only heat conduction takes place, temperature of point C is . .

    A
    `(3T)/(sqrt2+1)`
    B
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    C
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