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Q.

If the ratio of coefficient of thermal conductivity of silver and copper is $10 : 9$ , then the ratio of the lengths upto which wax will melt in Ingen Hausz experiment will be:

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a

$\sqrt{10} : 3$

b

$6 : 10$

c

$81 : 100$

d

$100 : 81$

answer is B.

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Detailed Solution

According to Ingen Hausz, $K \propto l^{2}$

$\frac{l_{1}}{l_{2}} = \sqrt{\frac{K_{1}}{K_{2}}} = \sqrt{\frac{10}{9}} = \frac{\sqrt{10}}{3} .$

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If the ratio of coefficient of thermal conductivity of silver and copper is 10:9, then the ratio of the lengths upto which wax will melt in Ingen Hausz experiment will be: