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

  • question_answer
    The volume of an air bubble becomes three times as it rises from the bottom of a lake to its surface. Assuming atmospheric pressure to be 75 cm of Hg and the density of water to be 1/10 of the density of mercury, the depth of the lake is                                                                          [AMU 1995]

    A)            5 m

    B)            10 m                                        

    C)            15 m                                        

    D)            20 m

    Correct Answer: C

    Solution :

     \[{{P}_{1}}{{V}_{1}}={{P}_{2}}{{V}_{2}}\]Þ \[({{P}_{0}}+h\rho g)V\]=\[{{P}_{0}}\times \frac{4}{3}\pi {{(2r)}^{3}}\] Þ \[h\rho g=2{{P}_{0}}\]Þ \[h=\frac{2\times 75\times 13.6\times g}{\frac{13.6}{10}\times g}\]= 15 m


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