Transmission Of Heat Question 87

Question: Which of the following circular rods. (given radius r and length l) each made of the same material as whose ends are maintained at the same temperature will conduct most heat

[CBSE PMT 2005]

Options:

A) $ r=2r _{0};\ l=2l _{0} $

B) $ r=2r _{0};\ l=l _{0} $

C) $ r=r _{0};\ l=l _{0} $

D) $ r=r _{0};\ l=2l _{0} $

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Answer:

Correct Answer: B

Solution:

$ \frac{Q}{t}\propto \frac{r^{2}}{l} $ ; from the given options, option (b) has higher value of $ \frac{r^{2}}{l} $ .