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JIPMER Jipmer Medical Solved Paper-1996

  • question_answer
    A artificial satellite is going round the earth assumed to be uniform sphere. Its period t will depend on the density \[\rho \] by the relation (k is numerical constant)

    A)  \[t=k{{\rho }^{1/2}}\]                   

    B)  \[t=k\rho \]      

    C)  \[t=k{{\rho }^{-1}}\]     

    D)         \[t=k{{\rho }^{-1/2}}\]

    Correct Answer: D

    Solution :

    Time period of satellite is given by \[t=2\pi \sqrt{\frac{{{R}^{3}}}{GM}}=2\pi \sqrt{\frac{{{R}^{3}}}{G\left( \frac{4}{3} \right)\pi {{R}^{3}}\rho }}\] \[\Rightarrow \]               \[t\propto \frac{1}{\sqrt{\rho }}\]


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