Transmission Of Heat Question 304
Question: Two rods A and B are of equal lengths. Their ends are kept between the same temperature and their area of cross-sections are $ A _{1} $ and $ A _{2} $ and thermal conductivities $ K _{1} $ and $ K _{2} $ . The rate of heat transmission in the two rods will be equal, if
Options:
A) $ K _{1}A _{2}=K _{2}A _{1} $
B) $ K _{1}A _{1}=K _{2}A _{2} $
C) $ K _{1}=K _{2} $
D) $ K _{1}A _{1}^{2}=K _{2}A _{2}^{2} $
Show Answer
Answer:
Correct Answer: B
Solution:
$ (\frac{Q}{t})_1$=
$\frac{K_1 A_1 \theta_ 1-\theta_ 2}{l} $ and
$ (\frac{Q}{t})_2$=
$\frac{K _{2}A _{2}({\theta {1}}-{\theta 2})}{l} $
given $ (\frac{Q}{t})_1$=$ (\frac{Q}{t})_2$
$ \Rightarrow $ $ K _{1}A _{1}=K _{2}A _{2} $
BETA
