NEET Sample Paper NEET Sample Test Paper-12

  • question_answer
    An iceberg of density\[900\text{ }kg/{{m}^{3}}\]is floating in water of density\[1000\text{ }kg/{{m}^{3}}.\] The percentage of volume of ice cube outside the water is

    A)  20%                            

    B)  35%

    C)  10%                            

    D)  25%

    Correct Answer: C

    Solution :

     Let the total volume of iceberg is V and its density is\[\rho .\]If this iceberg floats in water with volume \[{{V}_{in}}\] inside it, then \[{{V}_{in}}\sigma g=V\rho g\Rightarrow {{V}_{in}}=\left( \frac{\rho }{\sigma } \right)V\]  [\[\sigma =\]density of water] or \[{{V}_{out}}=V-{{V}_{in}}=\left( \frac{\sigma -\rho }{\sigma } \right)V\] \[\Rightarrow \]\[\frac{{{V}_{out}}}{V}=\left( \frac{\sigma -\rho }{\sigma } \right)=\frac{1000-900}{1000}=\frac{1}{10}\] \[\therefore \]      \[{{V}_{out}}=10%\]of V


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