Question

A vessel contains oil (density 0.8 g/cm³) over mercury (density 13.6 g/cm³). A sphere of homogeneous composition floats with half its volume immersed in mercury and the other half in oil. The density of the material of the sphere in g/cm³ is ______.

विकल्प

• 3.3

• 6.4

• 7.2

• 12.8

Answer 1

A vessel contains oil (density 0.8 g/cm³) over mercury (density 13.6 g/cm³). A sphere of homogeneous composition floats with half its volume immersed in mercury and the other half in oil. The density of the material of the sphere in g/cm³ is 7.2.

Explanation:

Let m be the mass of sphere.

∴ m = ρ v

Here, ρ = density of sphere

V = volume of sphere

We have m = mass in oil + Mass in mercury

ρ V = `ρ_"oil" "V"/2 + rho_"mercury" "V"/2`

ρ = `(ρ_"oil" + ρ_"mercury")/2 = (0.8 + 13.6)/2 = 7.2 "g cm"^3`.