CBSE Class 9 Answered
Two bodies with volumes V and 2V are equalized on a balance. The larger body is then immersed in oil of density = 0.9 g/cc. what must be the density of the liquid in which the smaller body simultaneously immersed so as not to disturb the equilibrium of the balance ?
Given:
V1 = V
V2 = 2 V
both have the same mass.
Therefore, their densities are,
M1 = M2 and d2 = ½ × d1
M2 is immersed in oil of density 0.9 g/cc
Buoyancy force on the larger body, M2 = V2 × 0.9 × g
let the density of the liquid in which the smaller body M1 is immersed be d g/cc
Buoyancy force on the smaller body, M1 = V1 × d × g
For the balance to remain at equilibrium, M2 = M1
V2 × 0.9 × g = V1 × d × g
The density of the liquid in which the smaller body simultaneously immersed is 1.8 g/cc