Transmission Of Heat Question 343
Question: Twelve conducting rods form the riders of a uniform cube of side ĀlĀ. 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 ĀAĀ:
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 $