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$25$
Diffcult
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C$10$
c (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 $V$
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