Uttarakhand PMT Uttarakhand PMT Solved Paper-2006

  • question_answer
    The radius R of the soap bubble is doubled under isothermal condition. If T be the surface tension of soap bubble. The work done in doing so is given by :

    A)  \[32{{\pi }^{2}}T\]         

    B)  \[24\pi {{R}^{2}}T\]

    C)  \[8\pi {{R}^{2}}T\]          

    D)  \[4\pi {{R}^{2}}T\]

    Correct Answer: A

    Solution :

     Initial surface energy \[{{\omega }_{1}}=2\times 4\pi {{R}^{2}}T=8\pi {{R}^{2}}T\] Final surface energy \[{{\omega }_{2}}=2\times 4\pi {{(2R)}^{2}}T=32\pi {{R}^{2}}T\]


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