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

  • question_answer
    A drop of mercury of radius 2 mm is split into 8 identical droplets. Find the increase in surface energy. (Surface tension of mercury is \[0.465\ J/{{m}^{2}}\])            [UPSEAT 2002]

    A)             \[23.4\mu J\]   

    B)             \[18.5\mu J\]

    C)             \[26.8\mu J\]

    D)                      \[16.8\mu J\]

    Correct Answer: A

    Solution :

        Increase in surface energy or work done in splitting a big drop \[=4\pi {{R}^{2}}T({{n}^{1/3}}-1)\]             \[\Rightarrow W=4\pi \times {{(2\times {{10}^{-3}})}^{2}}\times 0.465({{8}^{1/3}}-1)=23.4\ \mu J\]


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