Q.

The density of ice is 917 kg m-3. What fraction of the volume of a piece of ice will be above when floating in freshwater?

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a

0.045

b

0.053

c

0.083

d

0.043

answer is A.

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Detailed Solution

Density of ice ρ=917 kg m-3

 Density of fresh water, ρ=1000 kg m-3

Let V be the total volume of the ice and v be the volume of ice above the water. 

The volume of the water displaced by the immersed part of ice =(V-ν)

Weight of ice = Weight of the water displaced 

V×917×g=(V-v)×1000×g

vV=831000=0.083

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