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MGIMS WARDHA MGIMS WARDHA Solved Paper-2003

  • question_answer
    The surface tension of the soap solution is T. The work done in forming a soap bubble of radius r, is:

    A) \[8\pi {{r}^{2}}T\]                            

    B) \[4\pi {{r}^{2}}T\]

    C) \[\frac{4}{3}\pi {{r}^{2}}T\]                         

    D) \[\frac{8}{3}\pi {{r}^{2}}T\]        

    Correct Answer: A

    Solution :

    The work done in making a soap bubble is given by \[W=T\times A\] where, T= surface tension \[A=2\times 4\pi {{r}^{2}}\] Therefore, \[W=T\times 8\pi {{r}^{2}}\]                 \[=8\pi {{r}^{2}}T\]


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