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

  • question_answer
    Energy needed in breaking a drop of radius R into n drops of radii r is given by         [CPMT 1982, 97]

    A)             \[4\pi T(n{{r}^{2}}-{{R}^{2}})\]

    B)              \[\frac{4}{3}\pi ({{r}^{3}}n-{{R}^{2}})\]

    C)             \[4\pi T({{R}^{2}}-n{{r}^{2}})\]

    D)                      \[4\pi T(n{{r}^{2}}+{{R}^{2}})\]

    Correct Answer: A

    Solution :

        Energy needed = Increment in surface energy = (surface energy of n small drops) ? (surface energy of one big drop)             \[=n4\pi {{r}^{2}}T-4\pi {{R}^{2}}T=4\pi T(n{{r}^{2}}-{{R}^{2}})\]


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