A metal rod of length 2m has cross-sectional areas 2A and A as shown in the following figure. The two ends are maintained at temperatures100^oC and 70^oC. The temperature of middle point C is :

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80^oC

85^oC

90^oC

95^oC

answer is C.

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Detailed Solution

Using steady state condition $\frac{q}{t} = \frac{KA ∆ θ}{l}$
$\frac{2 A (100 - θ)}{1} = \frac{A (θ - 70)}{1}$
200 – 2 $θ$ = $θ$ – 70; 270 = 3 $θ$ ; $θ$ = 90^o

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