Q. An ice berg of density $900\ kg/m^{3}$ is floating in water of density $1000\ kg/m^{3}$. The percentage of volume of ice-cube outside the water is

A) 20%
B) 35%
C) 10%
D) 25%
Explanation

(c) Let the total volume of ice-berg is $V$ and its density is $\rho$. If this ice-berg floats in water with volume $V_{in}$ inside it then $V_{in}\sigma g = V\rho g \Rightarrow V_{in} = \left( \frac{\rho}{\sigma} \right)V\ \lbrack\sigma =$ density of water]
$\Rightarrow V_{out} = V - V_{in} = \left( \frac{\sigma - \rho}{\sigma} \right)V$
$\Rightarrow \frac{V_{out}}{V} = \left( \frac{\sigma - \rho}{\sigma} \right) = \frac{1000 - 900}{1000} = \frac{1}{10}$
$\therefore V_{out} = 10\%$ of $V$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.