A calorimeter of mass m contains an equal mass of water in it. The temperature of the water and clorimeter is `t_(2).A` block of ice of mass m and temperature `t_(3)lt0^(@)C` is gently dropped into the calorimeter. Let `C_(1),C_(2) and C_(3)` be the specific heats of calorimeter, water and ice respectively and `L` be the latent heat of ice.
The whole maxture in the calorimeter becomes ice if

Options

A. `C_(1)t_(2)+C_(2)t_(2)+L+C_(3)t_(3)gt0`
B. `C_(1)t_(2)+C_(2)t_(2)+L+C_(3)t_(3)lt0`
C. `C_(1)t_(2)+C_(2)t_(2)-L-C_(3)t_(3)gt0`
D. `C_(1)t_(2)+C_(2)t_(2)-L-C_(3)t_(3)lt0`

Answer

B

Explanation

Heat lost by water and container
`mC_(1)(t_(2)-0)+mC_(2)(t_(2)-0)+mL lt mC_(3)(0-t_(3))`
`:. C_(1)t_(2)+C_(2)t_(2)+C_(3)t_(3)+Llt 0`