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In a 10 m deep lake, the bottom is at a ...

In a 10 m deep lake, the bottom is at a constant temperature of `4^(@)C`. The air temperature is constant at `- 4^(@)C. K_(ice) = 3 K_(omega)`. Neglecting the expansion of water on freezing, the maximum thickness of ice will be

A

`7.5 m`

B

`6 m`

C

`5 m`

D

`2.5 m`

Text Solution

Verified by Experts

The correct Answer is:
A
(1) `i = (4 - 0)/(R_(water)) = (0 - (-4))/(R_(ice))`
`R_(water) = R_(ice)`
`((10 - x))/(K_(omega) A) = (x)/(K_(ice) A = 3 K_(omega) A)`
`30 - 3x = x`
`x = 7.5 m`
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