Question

Two vessels A and B of different materials are similar in shape and size. The same quantity of ice filled in them melts in times t₁ and t₂ respectively. The ratio of the thermal conductivities of A and B is –

• A. (a) t₁ : t₂
• A. (b) t₂ : t₁
• A. (c) t₁² : t₂²
• A. (d) t₂² ; t₁²

Answer 1

(b)

$\frac{mL}{t_{1}}$ = $\frac{K_{1}A(T_{1}–T_{2})}{L}$

$\frac{mL}{t_{2}}$ = $\frac{K_{2}A(T_{1}–T_{2})}{L}$

$\frac{K_{1}}{K_{2}}$ = $\frac{t_{2}}{t_{1}}$