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

  • question_answer
    The pressure inside a small air bubble of radius 0.1 mm situated just below the surface of water will be equal to [Take surface tension of water \[70\times {{10}^{-3}}N{{m}^{-1}}\] and atmospheric pressure = \[1.013\times {{10}^{5}}N{{m}^{-2}}\]] [AMU (Med.) 2002]

    A)             \[2.054\times {{10}^{3}}Pa\]

    B)                      \[1.027\times {{10}^{3}}Pa\]

    C)             \[1.027\times {{10}^{5}}Pa\]

    D)                      \[2.054\times {{10}^{5}}Pa\]

    Correct Answer: C

    Solution :

                    Excess pressure inside the air bubble \[=\frac{2T}{r}\]             \[\Rightarrow {{P}_{in}}-{{P}_{out}}=\frac{2T}{r}=\frac{2\times 70\times {{10}^{-3}}}{0.1\times {{10}^{-3}}}=1400Pa\] Þ \[{{P}_{in}}=1400+1.013\times {{10}^{5}}\]\[=0.014\times {{10}^{5}}+1.013\times {{10}^{5}}=1.027\times {{10}^{5}}Pa\]


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