Question

Two containers $A$ and $B$ of similar size and shape is made different material. If same quantity of ice takes $t_1$ and $t_2$ time to melt in the containers $A$ and $B$ respectively, then calculate the ratio of their thermal conductivities.

• A. $\sqrt{\frac{t_1}{t_2}}$
• B. $\sqrt{\frac{t_1^2}{t_2^2}}$
• C. $\frac{t_1}{t_2}$
• D. $\frac{t_2}{t_1}$

Answer 1

Answer: (D)

Heat conduction is given by,
$\frac{Q}{t}=\frac{kA\Delta \theta }{l}\Rightarrow k\propto \frac{1}{t}$
$\frac{k_1}{k_2}=\frac{t_2}{t_1}$