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Question

An iceberg is floating in an ocean. What fraction of its volume is above the water? (Given: density of ice=900 kg/m3 and density of ocean water =1030 kg/m3)

A
90103
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B
13103
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C
10103
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D
1103
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Solution

The correct option is B 13103
Let V be the volume of iceberg and let x be the fraction of volume above water.
Using law of floatation,
Weight of the floating body = Weight of liquid displaced by part of the floating body inside the liquid.

Therefore, Vρiceg=(1x)Vρwaterg
Using the value of ρice and ρwater, we get
(1x)=9001030
x=13103

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