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 volume of the iceberg, `x be the volume out of sea water.
The iceberg is floating in sea water then
`C rho_(ice) g = (V-x)rho_(sea water) g`
or `V xx 0.9 xx g = (V-x)1.1g`
or `eta = 2.0 xx 10^(-5)kg m^(-1)s^(-1)`
or `0.2 V = 1.1 x`
`:. (x)/(V) = (0.2)/(1.1) `
Percentage of fraction of the volume of iceberg above the level of sea water
`x/V xx 100 = (0.2)/(1.1) xx 100 = 18%`