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Question: If the ratio of coefficient of thermal conductivity of silver and copper is 10 : 9, then the ratio o...

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 IngenHausz experiment will be

A

6 : 10

B

10:3\sqrt{10}:3

C

100 : 81

D

81 : 100

Answer

10:3\sqrt{10}:3

Explanation

Solution

According to Ingen Hausz, Kl2K \propto l^{2}

l1l2=K1K2=109=103\frac{l_{1}}{l_{2}} = \sqrt{\frac{K_{1}}{K_{2}}} = \sqrt{\frac{10}{9}} = \frac{\sqrt{10}}{3}.