Question

Two solids $P$ and $Q$ float in water. It is observed that $P$ floats with half of its volume immersed and $Q$ floats with $\frac{2}{3^{rd}}$ of its volume is immersed. The ratio of densities of $P$ and $Q$ is

• A. 44654
• B. 44624
• C. 44595
• D. 44622

Answer 1

Answer: (B)

44624

Answer 2

The given situation can be shown as

$\therefore \frac{v d \,P g}{V d\, Q g}=\frac{\frac{V}{2} \rho \,g}{\frac{2 V}{3} \rho \,g}$
$\Rightarrow \frac{d P}{d Q}=\frac{3 V \rho g}{4 V \rho g}$
$\Rightarrow \frac{d P}{d Q}=\frac{3}{4}$