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 radius 1cm is sprayed into \[{{10}^{6}}\]drops of equal size. The energy expended in joules is (surface tension of Mercury is \[460\times {{10}^{-3}}N/m)\]                    [EAMCET 2001]

    A) 0.057  

    B)             5.7

    C)             \[5.7\times {{10}^{-4}}\]    

    D)             \[5.7\times {{10}^{-6}}\]

    Correct Answer: A

    Solution :

                    \[W=T\Delta A=4\pi {{R}^{2}}T({{n}^{1/3}}-1)\]             \[=4\times 3.14\times {{({{10}^{-2}})}^{2}}\times 460\times {{10}^{-3}}\times [{{({{10}^{6}})}^{1/3}}-1]\]\[=0.057\]


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