Fluid MechanicsHard

Question

A metallic sphere floats in an immiscible mixture of water (ρw = 103 kg/m3) and a liquid (ρL = 13.5 × 103) with (1/5)th portion by volume in the liquid. The density of the metal is :

Options

A.4.5 × 103 kg/m3
B.4.0 × 103 kg/m3
C.3.5 × 103 kg/m3
D.1.9 × 103 kg/m3

Solution

103 × 4/5 + 13.5 × 103 × 1/5 = ρ × 1
or   ρ = 3.5 × 103 kg/m3

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