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Three rods of identical area of cross-section 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 2T, respectively. In the steady state, the temperature of the point C is TC. Assuming that only heat conduction takes place, TC/T is equal to

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By Expert Faculty of Sri Chaitanya
a
1(2+1)
b
3(2+1)
c
12(2−1)
d
13(2−1)
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detailed solution

Correct option is B

∵TB>TA⇒Heat will flow B to A via two paths(i) B to A (ii) and along BCA as shown.Rate of flow of heat in path BCA will be samei.e. QtBC=QtCA      ⇒k2T−TCAa=kTC−TA2a      ⇒TCT=31+2


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A copper rod is joined to a steel rod in series. The rods have equal length and equal cross – sectional area. The free end of copper rod is kept at 10°C and that of steel rod is kept at 100°C. If the thermal conductivity of copper is eight times that of steel, what is the temperature at the junction of the rods ?

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