Manipal Medical Manipal Medical Solved Paper-2011

  • question_answer
    A metallic wire of density d of floats in water. The maximum radius of the wire, so that it may not sink is

    A)  \[\sqrt{2\pi dgT}\]

    B)  \[\sqrt{\frac{2T}{\pi dg}}\]

    C)  \[\sqrt{\frac{\pi dg}{2T}}\]

    D)  \[\sqrt{\frac{2Tg}{\pi d}}\]

    Correct Answer: B

    Solution :

     The wire does not sink, so net force on it will be zero \[\therefore \] \[mg=T.2l\] \[\Rightarrow \] \[{{\pi }^{2}}ldg=T.2l\] \[\therefore \] \[r=\sqrt{\frac{2R}{\pi dg}}\]


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