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

Answer

B

Explanation

As we use
`(Q_(1))/(Q_(2))=(t_(1)k_(1))/(t_(2)k_(2))` `(AsQ=(kADeltaTt)/(l))`
As `Q_(1)=Q_(2)`
`implies k_(1)/(k_(2))=(t_(2))/(t_(1))`