Question

A vessel contain oil (d = 0.8 g/cc) over mercury (d = 13.6 g/cc). A homogeneous sphere floats with half its volume immersed in mercury and the other half in oil. The density of the material of the sphere in g/cc is -

• A. (a) 3.3
• A. (b) 6.4
• A. (c) 7.2
• A. (d) 12.8

Answer 1

(c)

For equilibrium, the total upward pull will be equal to the gravitational force

$\frac{V}{2}$ × 13.6 × g + $\frac{V}{2}$× (0.8)g = Vrg

r = 7.2 g/cc