## Question

A vessel contains oil of density 0.8 gcm^{–3} floating over mercury of density 13.6 gcm^{–3}. A homogeneous sphere floats with half its volume immersed in mercury and the other half in oil. The density of the sphere in gcm^{–3} is

### Solution

7.2 g cm^{-3}

Let *V* be the volume of the sphere and its density. From the principle of flotation, we have

Weight of sphere = Weight of displaced oil + Weight of

displaced mercury

.

#### SIMILAR QUESTIONS

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