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Plz answer this question on fluids.

Two bodies with volumes V and 2V are equalized on a balance. The larger body is then immersed in oil of density r = 0.9 g/cc. What must be the density of the liquid in which the smaller body is simultaneously immersed so as not to disturb the equilibrium of the balance?



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V1 = V
V2 = 2 V
They have same mass.  Hence their densities are :
M1 = M2      and    d2 = 1/2 * 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:   V2 * 0.9 * g = V1 * d * g
           d = 0.9 V2 / V1 = 0.9 * 2 V/ V = 1.8 g/cc

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