JEE Main & Advanced Physics Fluid Mechanics, Surface Tension & Viscosity / द्रव यांत्रिकी, भूतल तनाव और चिपचिपापन Question Bank Pascal's Law and Archimedes Principle

  • question_answer
    An ice berg of density 900 Kg/m3 is floating in water of density 1000 Kg/m3. The percentage of volume of ice-cube outside the water is                                                     [CPMT 2004]

    A)            20%                                          

    B)            35%                                          

    C)            10%                                          

    D)             25%

    Correct Answer: C

    Solution :

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


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