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

Answer

A

Explanation

`Q=ML` in both cases
`therefore (K_(1)A(Delta theta)t_(1))/(d)=(K_(2)A(Delta theta)t_(2))/(d)`
`therefore K_(1)//K_(2)=t_(2)//t_(1)`