JEE Main & Advanced Physics Fluid Mechanics, Surface Tension & Viscosity / द्रव यांत्रिकी, भूतल तनाव और चिपचिपापन Question Bank Pressure Difference

  • question_answer
    When a large bubble rises from the bottom of a lake to the surface, its radius doubles. If atmospheric pressure is equal to that of column of water height H, then the depth of lake is [AIIMS 1995; AFMC 1997]

    A) H        

    B)             2H

    C)             7H      

    D)             8H

    Correct Answer: C

    Solution :

                    \[{{P}_{1}}{{V}_{1}}={{P}_{2}}{{V}_{2}}\] Þ\[(H+h)\rho g\times \frac{4}{3}\pi {{r}^{3}}\]\[=H\times \frac{4}{3}\pi {{(2r)}^{3}}\]             \[\Rightarrow H+h=8H\]\ \[h=7H\] 


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