Transmission Of Heat Question 69

Question: One end of a metal rod of length 1.0 m and area of cross section $ 100cm^{2} $ is maintained at $ 100^{o}C. $ If the other end of the rod is maintained at $ 0^{o}C $ , the quantity of heat transmitted through the rod per minute is (Coefficient of thermal conductivity of material of rod =100W/m-K)

[EAMCET (Engg.) 2000]

Options:

A) $ 3\times 10^{3}J $

B) $ 6\times 10^{3}J $

C) $ 9\times 10^{3}J $

D) $ 12\times 10^{3}J $

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Answer:

Correct Answer: B

Solution:

$ \frac{Q}{t}=\frac{KA({\theta _{1}}-{\theta _{2}})}{l}=\frac{100\times 100\times {{10}^{-4}}(100-0)}{1} $

$ \Rightarrow \frac{Q}{t}=100\ Joule/sec=6\times 10^{3}\ Joule/min $