JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2010

  • question_answer
        Geostationary satellite orbits around the earth in a circular orbit of radius 36000 km. Then the time period of a spy satellite orbiting a 500 km above the earths surface (radius of earth = 6400 km) will approximately be

    A)  \[\frac{1}{2}h\]                               

    B)  \[1\,h\]

    C)  \[2\,h\]                                              

    D)  \[4\,h\]

    Correct Answer: C

    Solution :

                    \[{{T}_{2}}={{T}_{1}}{{\left( \frac{{{r}_{2}}}{{{r}_{1}}} \right)}^{3/2}}\] \[=24{{\left( \frac{6400}{36000} \right)}^{3/2}}\] \[=1.7h\] For spy satellite h is slightly greater than\[{{R}_{e}}\]. So,     \[{{T}_{1}}>{{T}_{2}}\] hence,\[{{T}_{s}}=2h\]


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