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 ...... $\%$
Diffcult
Download our app for free and get started
(c) Let the total volume of ice-berg is $V$ and its density is $\rho$. If this ice-berg floats in water with volume Vin inside it then ${V_{in}}\sigma g = V\rho g$ ==> ${V_{in}} = \left( {\frac{\rho }{\sigma }} \right)\;V$[$\sigma = $density of water]
or ${V_{out}} = V - {V_{in}} = \left( {\frac{{\sigma - \rho }}{\sigma }} \right)\;V$
==> $\frac{{{V_{out}}}}{V} = \left( {\frac{{\sigma - \rho }}{\sigma }} \right) = \frac{{1000 - 900}}{{1000}} = \frac{1}{{10}}$
${V_{out}} = 10\% $ of $V$
or ${V_{out}} = V - {V_{in}} = \left( {\frac{{\sigma - \rho }}{\sigma }} \right)\;V$
==> $\frac{{{V_{out}}}}{V} = \left( {\frac{{\sigma - \rho }}{\sigma }} \right) = \frac{{1000 - 900}}{{1000}} = \frac{1}{{10}}$
${V_{out}} = 10\% $ of $V$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1A cubical block of wood of specific gravity $0.5$ and a chunk of concrete of specific gravity $2.5$ are fastened together. The ratio of the mass of wood to the mass of concrete which makes the combination to float with its entire volume submerged under water isView Solution
- 2A ball of mass $m$ and radius $ r $ is gently released in a viscous liquid. The mass of the liquid displaced by it is $m' $ such that $m > m'$. The terminal velocity is proportional toView Solution
- 3Figure here shows the vertical cross section of a vessel filled with a liquid of density $\rho$. The normal thrust per unit area on the walls of the vessel at the point $P$, as shown, will beView Solution
- 4A particle released from rest is falling through a thick fluid under gravity. The fluid exerts a resistive force on the particle proportional to the square of its speed. Which one of the following graphs best depicts the variation of its speed $v$ with time $t$ ?View Solution
- 5What is the pressure on a swimmer $20 \,m$ below the surface of water ........ $atm$View Solution
- 6View SolutionIn a laminar flow the velocity of the liquid in contact with the walls of the tube is
- 7A $U-$ tube containing a liquid moves with a horizontal acceleration a along a direction joining the two vertical limbs. The separation between these limbs is $d$ . The difference in their liquid levels isView Solution
- 8View SolutionA beaker containing a liquid is kept inside a big closed jar. If the air inside the jar is continuously pumped out, the pressure in the liquid near the bottom of the liquid will
- 9The area of cross-section of the wider tube shown in figure is $800$ $cm^2$. If a mass of $12$ $ kg $ is placed on the massless piston, the difference in heights $h$ in the level of water in the two tubes is ........ $cm$View Solution
- 10When a large bubble rises from the bottom of a lake to the surface. Its radius doubles. If atmospheric pressure is equal to that of column of water height $H$, then the depth of lake isView Solution