Transmission Of Heat Question 40

Question: 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

[DPMT 2001]

Options:

A) 6 : 10

B) $ \sqrt{10}:3 $

C) 100 : 81

D) 81 : 100

Show Answer

Answer:

Correct Answer: B

Solution:

$ K _{1}:K _{2}=l _{1}^{2}:l _{2}^{2}\Rightarrow \frac{l _{1}}{l _{2}}=\sqrt{\frac{K _{1}}{K _{2}}}=\sqrt{\frac{10}{9}}=\frac{\sqrt{10}}{3} $