RAJASTHAN ­ PET Rajasthan PET Solved Paper-2009

  • question_answer
    Satellites A and B are revolving around the orbit of earth. The mass of A is 10 times to mass of B. The ratio of time period \[\left( \frac{{{T}_{A}}}{{{T}_{B}}} \right)\] is

    A)  \[10\]

    B)  \[1\]

    C)  \[\frac{1}{5}\]

    D)  \[\frac{1}{10}\]

    Correct Answer: C

    Solution :

     Time period of satellite \[T=2\pi \sqrt{\frac{{{({{R}_{e}}+h)}^{2}}}{gR_{e}^{2}}}\] where,  \[{{R}_{e}}=\]Radius of earth \[h=\]Height from earth surface Time period does not depend on mass. So, time period of both satellite will be equal. \[\because \] \[{{T}_{A}}={{T}_{B}}\] \[\therefore \] \[{{T}_{A}}={{T}_{B}}=2\pi \sqrt{\frac{{{({{R}_{e}}+h)}^{3}}}{gR_{e}^{2}}}\] Therefore, ratio of time periods \[\frac{{{T}_{A}}}{{{T}_{B}}}=1\]


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