Transmission Of Heat Question 335

Question: Three conducting rods of same material and cross-section are shown in figure. Temperatures of A, D and C are maintained at $ 20{}^\circ C,90{}^\circ C $ and $ 0{}^\circ C $ . The ratio of lengths of BD and BC if there is no heat flow in AB is:

Options:

A) 2/7

B) 7/2

C) 9/2

D) 2/9

Show Answer

Answer:

Correct Answer: B

Solution:

[b] There is no heat flow through AB. Hence $ {\theta _{B}}=20^{o}C,H _{DB}=H _{BC} $

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Therefore $ $ \frac{(90-20)}{l _{BD}/KA}=\frac{(20-0)}{l _{BC}/KA} $

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Therefore $ $ \frac{l _{BD}}{l _{BC}}=\frac{7}{2} $