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

  • 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 \[({{P}_{0}}+h+g)\times \frac{4}{3}\pi {{r}^{3}}\]=\[{{P}_{0}}\times \frac{4}{3}\pi {{(2r)}^{3}}\] Where, h = depth of lake Þ \[h\rho g=7{{P}_{0}}\]Þ \[h=7\times \frac{H\rho g}{\rho g}=7H.\]


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