Four-fifth of a cylindrical block of wood, floats in a liquid. Assuming the relative density of wood be 0.8 find the density of the liquid.

Explanation

Let volume of wooden block = V
Volume of liquid displaced `=(4)/(5)V`
Weight of the block `=Vxx0.8xx10^(3)g`
As the block floats,
weight of the body = weight of the liquid displaced
`Vxx0.8xx10^(3)xxg=(4V)/(5)xxrho_(1)xxg, therefore rho_(1)=10^(3)kg//m^(3)`