Uttarakhand PMT Uttarakhand PMT Solved Paper-2010

  • question_answer
    A simple pendulum has time period T. The pendulum is completely immersed in a non-viscous liquid whose density is one-tenth, of that of the material of the bob. The time period of the pendulum immersed in liquid is

    A)  \[T\]

    B)  \[\sqrt{\frac{9}{10}}T\]

    C)  \[\sqrt{\frac{10}{9}T}\]

    D)  \[\frac{T}{10}\]

    Correct Answer: C

    Solution :

     Net weight of pendulum equals \[w=w-{{w}_{th}}\] \[\Rightarrow \] \[w=V\rho g-\frac{V\rho g}{10}\] \[\Rightarrow \] \[w=\frac{9}{10}w\] \[\Rightarrow \] \[w=\frac{9}{10}mg\] \[(\because w=mg)\] \[\Rightarrow \] \[g=\frac{9}{10}g\] \[\therefore \] \[T=2\pi \sqrt{\frac{l}{g}}\Rightarrow T\sqrt{\frac{10}{9}}T\]


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