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

  • question_answer
    A mercury drop of 1 cm radius is broken into \[{{10}^{6}}\] small drops. The energy used will be (surface tension of mercury is \[35\times {{10}^{-3}}N/cm)\]                                    [Roorkee 1984]

    A)             \[4.4\times {{10}^{-3}}J\]

    B)                      \[2.2\times {{10}^{-4}}J\]

    C)             \[8.8\times {{10}^{-4}}J\]

    D)                      \[{{10}^{4}}J\]       

    Correct Answer: A

    Solution :

                    \[E=4\pi {{R}^{2}}T({{n}^{1/3}}-1)\]              \[=4\times 3.14\times {{10}^{-4}}\times 35\times {{10}^{-1}}({{10}^{6/3}}-1)\]\[=4.4\times {{10}^{-3}}J\]


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