Question

An iceberg is floating partly immersed in sea water, the density of sea water is `1.03 g cm^(-3)` and that of ice is `0.92 g cm^(-3)`. The fraction of the total volume of the iceberg above the level of sea water is
A. `8.1 %`
B. `11%`
C. `34%`
D. `0.8%`

Answer 1

Correct Answer - B
Let V be the volume of the iceberg and x be the volume of iceberge out of sea water. The iceberge is floating in sea water, then
`Vxx0.92xxg =(V-x)xx1.03xxg`
or `0.92 V =1.03 V -1.03 x` or `(x)/(V)=(0.11)/(1.03)`
`:. %` fraction of the volume of ice berg above the level of sea water
`=(x)/(V)xx100=(0.11xx100)/(1.03) =11%`