A body weighs 75 g in air ,70.5 g in water and 66 g in liquid.Calculate relative density of liquid

Dear Student!!

Consider that ρ_a , ρ_w, ρ_l and ρ are the density of air, water, liquid and body respectively.

Apparent weight of the body = True weight - buoyant force (Vρg)

V is the volume of the body.

ρ_a = 1 kg/m³ , ρ_w = 10³ kg/m³ 

According to the problem,

Solving equation (i) and (ii), we get

m = 75.0045 kg  ,  V = 0.0045 kg/m³

substituting the values in equation (iii),we get

 ρ_l = 2001.00 kg