Iceberg floats in sea water with a part of it submerged. The percentage fraction of the ice berg submerged is (density of ice = `0.9 g cm^(-3)`, density of sea water = `1.1 g cm^(-3)`)

Options

A. `18%`
B. `12%`
C. `10%`
D. `8%`

Answer

A

Explanation

V be the iceberg, `x` be the volume out of sea water.
The iceberg is floating in sea water then
`V rho_("ice")g=(V-x)rho_("sea water")g`
or `V xx 0.9xxg=(V-x)1.1 g` or `0.9 V=1.1 V-1.1x`
`0.2 V =1.1x`
`therefore (x)/(V)=(0.2)/(1.1)`
Percentage of fraction of the volume of iceberg above the level of sea water
`(x)/(V)xx100=(0.2)/(1.1)xx100=18%`