A calorimeter of mass $$m$$ contains an equal mass of water in it . The temperature of the water and calorimeter is $$t_{2}$$. A block of ice of mass $$m$$ and temperature $$t_{3}<0^{o}C$$ 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 mixture in the calorimeter becomes ice if:
A
$$C_{1}t_{2}+C_{2}t_{2}+L+C_{3}t_{3}>0$$
B
$$C_{1}t_{2}+C_{2}t_{2}+L+C_{3}t_{3}<0$$
C
$$C_{1}t_{2}+C_{2}t_{2}-L-C_{3}t_{3}>0$$
D
$$C_{1}t_{2}+C_{2}t_{2}-L-C_{3}t_{3}<0$$
Correct option is B. $$C_{1}t_{2}+C_{2}t_{2}+L+C_{3}t_{3}<0$$