Transmission Of Heat Question 60

Question: Two identical rods of copper and iron are coated with wax uniformly. When one end of each is kept at temperature of boiling water, the length upto which wax melts are $ 8.4cm $ and $ 4.2cm $ respectively. If thermal conductivity of copper is 0.92, then thermal conductivity of iron is

[MP PET 1995]

Options:

A) 0.23

B) 0.46

C) 0.115

D) 0.69

Show Answer

Answer:

Correct Answer: A

Solution:

$ \frac{K _{1}}{K _{2}}=\frac{l _{1}^{2}}{l _{2}^{2}} $

$ \

Therefore $ $ K _{2}=\frac{K _{1}l _{2}^{2}}{l _{1}^{2}}=\frac{0.92\times {{(4.2)}^{2}}}{{{(8.4)}^{2}}}=0.23 $