An iceberg of density `900kg//m^(3)` is floating in water of density `1000 kg//m^(3)`. The percentage of volume of ice cube outside the water is

Options

A. `20%`
B. `35%`
C. `10%`
D. `25%`

Answer

C

Explanation

In flotation
`W = F_B`
`sigma_(ice) Vg = rho_omega V_(i n) g`,
`V_(i n)` : immersed volume
`(V_(i n))/(V) = (sigma_(ice))/(rho_omega) = (900)/(1000) = 0.9`
Fractional volume outside water
=`1 -(V_(i n))/(V) = 1-0.9 = 0.1 i.e., 0.1 xx 100 = 10%`.