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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2009

  • 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 \[W=W-{{U}_{th}}\] \[\Rightarrow \]               \[W={{V}_{eg}}-\frac{Veg}{10}\] \[\Rightarrow \]               \[W=\frac{9}{10}W\] \[\Rightarrow \]               \[mg=\frac{9}{10}mg\]                  \[(\because W=mg)\] \[\Rightarrow \]               \[g=\frac{g}{10}mg\] \[\therefore \]  \[T=2\pi \sqrt{\frac{l}{g}}\] \[\Rightarrow \]               \[T=\sqrt{\frac{10}{9}}T\]


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