JEE Main & Advanced Physics Fluid Mechanics, Surface Tension & Viscosity / द्रव यांत्रिकी, भूतल तनाव और चिपचिपापन Question Bank Surface Energy

  • question_answer
    Radius of a soap bubble is 'r', surface tension of soap solution is T. Then without increasing the temperature, how much energy will be needed to double its radius [CPMT 1991; Pb. PMT 2000; RPET 2001]

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

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

    C)             \[12\pi {{r}^{2}}T\]

    D)                      \[24\pi {{r}^{2}}T\]

    Correct Answer: D

    Solution :

                    \[W=8\pi T(R_{2}^{2}-R_{1}^{2})=8\pi T[{{(2r)}^{2}}-{{(r)}^{2}}]=24\pi {{r}^{2}}T\]


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