# A block of wood floats in a liquid of density 0.8g/cm sq. with one fourth of its volume submerged. In oil the block floats with 60% of its volume submerged. Find the density of (a) wood? (b) oil?

##### 1 Answer

Let the volume of the block of wood be

So the weight of the block

The block floats in liquid of density

Hence by cindition of floatation

Now let the density of oil be

The block floats in oil with 60% of its volume submerged.So the buoyant force balancing the weight of the block is the weight of displaced oil =

Now applying the condition of floatation we get