Question

An iceberg floats on fresh water with a fraction of it outside the water surface. If the density of ice is 920 kg/m3 , calculate the fraction of the volume of the iceberg above the water surface​

Answer 1

Explanation:

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The density of ice is 920kg/m

3

, and that of sea water is 1030kg/m

3

. What fraction of the total volume of an iceberg is outside the water?

Medium

Solution

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Correct option is A)

Let V

L

and V

S

be the volume of water displaced and volume of the ice respectively; ρ

L

and ρ

S

be the density of water and density of ice respectively. Since ice is floating on water, F

B

=W

or ρ

L

V

L

g=ρ

S

V

S

g or ρ

L

V

L

=ρ

S

V

S

or

V

S

V

L

=

ρ

L

ρ

S

This is the fraction of volume of the iceberg that is inside the water. Therefore, the fraction of volume of the iceberg that is outside the water is given by, 1 - 0.893 = 0.107