Two identical vessels are filled with equal amounts of ice. The vessels are made from different materials. If the ice melts in the two vessels in times `t_(1) and t_(2)` respectively, then their thermal conductivities are in the ratio

Options

A. `t_(1) : t_(2)`
B. `t_(2) : t_(1)`
C. `t_(1)^(2) : t_(2)^(2)`
D. `t_(2)^(2) : t_(2)^(1)`

Answer

B

Explanation

(2) `(i_(1))/(i_(2)) = (t_(2))/(t_(1)) = (K_(A))/(K_(B))`
`Delta Q = mL, (Delta Q)/(Delta t) = I, (Delta Q)/(Delta t) prop K`