First slide

Fluid statics

Question

A vessel contains oil (density =0.8gm/cm²) over mercury (density =13.6gm/cm²). A homogeneous sphere floats with half of its volume immersed in mercury and the other half in oil. The density of material of tire sphere in gm/cm³ is

Easy

A

3.3
B

6.4
C

7.2
D

2.8

Solution

Weight of the floating body
= Weight of liquid displaced
$Vρg = (V / 2) 13 \cdot 6 g + (V / 2) 0 \cdot 8 g ρ = (13 \cdot 6 + 0 \cdot 8) / 2 = 7 \cdot 2$

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