Question

A body floats in water with $40$% of its volume outside water. When the same body floats in an oil, $60$% of its volume remains outside oil. The relative density of oil is

• A. $0.9$
  
• B. $1.0$
  
• C. $1.2$
  
• D. $1.5$
  

Answer 1

The correct option is D $1.5$

Relative density = fraction of body immersed

Relative density w.r.t. water = 0.6

Relative density w.r.t oil = 0.4

Relative density of oil w.r.t. water = $\frac{0.6}{0.4}=\frac{3}{2}=1.5$