AFMC AFMC Solved Paper-2010

  • question_answer
    An ice- berg of density 900 kgm-3 is floating in water of density 1000 kgm-3. The percentage of volume of ice-berg outside the water is

    A) 20%                                       

    B) 35%

    C) 10%                                         

    D) 11%

    Correct Answer: C

    Solution :

    Let the volume of ice-berg is V and its density is \[\rho .\]If this ice-berg floats in water with volume \[{{V}_{in}}\]n inside it, then \[{{V}_{in}}\,\,\sigma g=V\rho g\] \[\Rightarrow \]  \[{{V}_{in}}=\left( \frac{\rho }{\sigma } \right)V\][\[\sigma \]= 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


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