Question

An ice-berg is floating in sea water. What percentage of volume of the ice - berg is above the water? (Relative density of sea water $=1.20$ and relative density if ice $=0.9$)

• A. $20\%$
• B. $25\%$
• C. $33.3\%$
• D. $50\%$

Answer 1

The correct option is B $25\%$

Acc. to Archimedes Principal

$l_i=$ density of ice $=0.9$

${\rho }_w=$ density of wote $x=1.2$

$v_i=$ Total vol. of ice

$v_{\omega }=$ immersed vol. of ice

We Know that

$\begin{array}{cc}{\rho }_{i}g{v}_i& ={\int }_{\omega }g{v}_w\\ \frac{v_w}{V_i}& =\frac{0.9}{1.2}=0.75\end{array}$

$\%$ immersed $=75\%$

$\%$ unimmersed $=25\%$