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Ice starts forming in lake with water at...

Ice starts forming in lake with water at `0^(@)C` and when the atmospheric temperature is `-10^(@)C`. If the time taken for `1 cm` of ice be `7` hours. Find the time taken for the thickness of ice to change from `1 cm` to `2 cm`

A

7 hours

B

14 hours

C

Less than 7 hours

D

More than 7 hours

Text Solution

Verified by Experts

The correct Answer is:
D
Time (t) `=(rhoL)/(2K theta)(x_2^2-x_1^2)`
`implies t prop ([x_2^2-x_1^2])/([(x._2)^2-(x._1)^2]) implies (7)/(t.)=(1^2-0^2)/(2^2-1^2)`
`implies t.`=21 hours
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