Two bodies are in equilibrium when suspended in water from the arms of a balance.The mass of one body is `28 g` and its density is `5.66 g//cm^3`. If the mass of the other body is `36 g`, what is its density ?

Explanation

Apparent weight of first body `= (28 - (28)/(5.66)) g = 23 g`
Apparent weight of the second body `= (36 - (36)/(rho)) g`
Since the apparent weights of the bodies are equal, `36 - (36)/(rho) =m 23`, whence, `rho = 2.77 g//cm^3`.