The formation of ice is started in a lake with water at 0°C. When the atmospheric temperature is –10°C. If time taken for 1 cm of ice to be formed is 7 hours, the time taken for the thickness of ice to increase from 1cm to 2 cm is:
Text Solution
Verified by ExpertsThe correct answer is:
C
We know that the time of formation of ice in a lake from thickness y 1 to y 2 is directly proportional to
(y 2 2 – y 1 2 ) µ t 1 ...
Again , (y 3 2 – y 2 2 ) µ t 2 ...
Given : y 1 = 0 cm, y 2 = 1cm
y 3 = 2 cm, t 1 = 7 hour, t 2 =?
From and , we get
or 
or 
Hence t 2 = 7 × 3 = 21 hour
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