AIIMS AIIMS Solved Paper-2000

  • question_answer
    Potential energy of a satellite having mass m and rotating at a height of \[6.4\times {{10}^{6}}m\] from the earth centre is :

    A) -0.2\[I-D,II-C,III-A,IV-B\],    

    B)                        -2\[I-C,II-D,III-A,IV-B\],

    C)                        -0.5\[I-B,II-D,III-A,IV-C\]              

    D)         -\[I-A,II-B,III-C,IV-D\], 

    Correct Answer: C

    Solution :

                    Gravitational potential energy of a body at a height h from earths surface is given by \[[M{{L}^{-1}}{{T}^{-1}}]\] where \[[{{M}^{-1}}{{L}^{3}}{{T}^{-2}}]\] is mass of earth and \[2\times {{10}^{-4}}J\] its radius of height satellite from earth is \[2\times {{10}^{-8}}N{{m}^{-1}}\] Also   \[2\times {{10}^{-2}}N{{m}^{-1}}\] \[2\times {{10}^{-4}}N{{m}^{-1}}\]  \[y=a\sin (0.01x-2t)\] \[\frac{M}{81}\]


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