A vessel contains oil (density 0.8 g ${cm}^{- 3})$ over mercury (density 136 g ${cm}^{- 3})$. A homogenous sphere floats with half volume immersed in mercury and the other half in oil. The density of the material of the sphere in g ${cm}^{- 3}$ is

Question

Dr. Abubacker · Accepted Answer

(b) Weight the body = Weight of liquids displaced
$V 	imes d 	imes g = \frac{V}{2} 	imes 0.8 	imes g + \frac{V}{2} 	imes 13.6 	imes g$
$d = \frac{0.8}{2} + \frac{13.6}{2} = 0.4 + 6.8$
$= 7.2\ g\ {cm}^{- 3}$

Q. A vessel contains oil (density 0.8 g ${cm}^{- 3})$ over mercury (density 136 g ${cm}^{- 3})$. A homogenous sphere floats with half volume immersed in mercury and the other half in oil. The density of the material of the sphere in g ${cm}^{- 3}$ is

Explanation

Reviewed by Dr. Abubacker

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