Transmission Of Heat Question 343

Question: Twelve conducting rods form the riders of a uniform cube of side ‘l’. If in steady state, B and H ends of the rod are at $ 100{}^\circ C $ and $ 0{}^\circ C $ . Find the temperature of the junction ‘A’:

Options:

A) $ 80^{o}C $

B) $ 60^{o}C $

C) $ 40^{o}C $

D) $ 70^{o}C $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ \frac{100-0}{5/6R}=\frac{100-T}{R/3} $

$ \Rightarrow $ $ \frac{100\times 6}{5R}=\frac{(100-T)3}{R} $

$ \Rightarrow $ $ 40=100-T $

$ \Rightarrow $ $ T=60^{o}C $



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