Manipal Medical Manipal Medical Solved Paper-2015

  • question_answer
    The amount of work done in blowing a soap bubble such that its diameter increases from d to D is (S = surface tension of the solution)

    A) \[2\pi ({{D}^{2}}-{{d}^{2}})S\]       

    B) \[\pi ({{D}^{2}}-{{d}^{2}})S\]

    C) \[4\pi ({{D}^{2}}-{{d}^{2}})S\]       

    D) \[8\pi ({{D}^{2}}-{{d}^{2}})S\]

    Correct Answer: A

    Solution :

    Change in surface area \[=2\times 4\pi \left[ {{\left( \frac{D}{2} \right)}^{2}}-{{\left( \frac{d}{2} \right)}^{2}} \right]=2\pi ({{D}^{2}}-{{d}^{2}})\] \[\therefore \] Work done = surface tension \[\times \] change in area \[=2\pi S({{D}^{2}}-{{d}^{2}})\]


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