RAJASTHAN PMT Rajasthan - PMT Solved Paper-2010

  • question_answer
    Work done in splitting a drop of water of 1 mm radius into 10 droplets is (surface tension of water \[=72\,\times {{10}^{-3}}J/{{m}^{2}}\])

    A)  \[9.58\,\times {{10}^{-5}}J\]                      

    B)  \[8.95\,\times {{10}^{-5}}J\]

    C)  \[5.89\,\times {{10}^{-5}}J\]      

    D)         \[5.98\,\times {{10}^{-6}}J\]

    Correct Answer: B

    Solution :

    Work done in splitting a water drop of radius \[R\] into \[n\] drops of equal size \[=4\pi {{R}^{2}}T({{n}^{1/3}}-1)\] \[=4\pi \times {{({{10}^{-3}})}^{2}}\times 72\times {{10}^{-3}}\times ({{10}^{6/3}}-1)\] \[=4\pi \times {{10}^{-6}}\times 72\times {{10}^{-3}}\times 99\] \[=8.95\times {{10}^{-5}}J\]


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