WBJEE · Physics · Mechanical Properties of Fluids
A body floats in water with \(40 \%\) of its volume outside water. When the same body floats in oil, \(60 \%\) of its volume remains outside oil. The relative density of the oil is
- A 0.9
- B 1.2
- C 1.5
- D 1.8
Answer & Solution
Correct Answer
(C) 1.5
Step-by-step Solution
Detailed explanation
Hints : Fraction of immersed part \(f=\frac{d}{\rho}\) Case-1, \(f=1-0.4=0.6\) \(0.6=\frac{d}{1}\) \(d=0.6\) Case-2, \[ \begin{aligned} & f=1-0.6=0.4 \\ & f=\frac{d}{\rho_{\text {oil }}} \\ & 0.4=\frac{0.6}{\rho_{\text {oil }}} \\ & \rho_{\text {oil }}=1.5 \end{aligned} \]
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