Transmission Of Heat Question 74

Question: Surface of the lake is at 2°C. Find the temperature of the bottom of the lake

[Orissa JEE 2002]

Options:

A) $ 2^{o}C $

B) $ 3^{o}C $

C) $ 4^{o}C $

D) $ 1^{o}C $

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Answer:

Correct Answer: C

Solution:

A lake cools from the surface down. Above $ 4{}^\circ C, $ the cooled water at the surface flows to the bottom because of it’s greater density. But when the surface temperature drops below $ 4{}^\circ C $ (here it is $ 2{}^\circ C $ ), the water near the surface is less dense than the warmer water below. Hence the downward flow ceases, the water at the bottom remains at $ 4{}^\circ C $ until nearly the entire lake, is frozen.