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NEET Sample Paper NEET Sample Test Paper-86

  • question_answer
    A satellite of mass m is put into a circular orbit of height h from the surface of the earth (mass \[={{M}_{e}},\] radius \[={{R}_{e}}\] ). The orbital speed of satellite is

    A) \[\sqrt{\frac{2G{{M}_{e}}h}{{{R}_{e}}({{R}_{e}}+h)}}\]                    

    B) \[\sqrt{\frac{2G{{M}_{e}}}{{{R}_{e}}+h}}\]

    C) \[\sqrt{\frac{G{{M}_{e}}}{({{R}_{e}}+{{h}^{3}})}}\]

    D)        \[\sqrt{\frac{G{{M}_{e}}}{2({{R}_{e}}+h)}}\]

    Correct Answer: C

    Solution :

    [c] \[V=\sqrt{\frac{G{{M}_{e}}}{{{R}_{e}}+h}}\]\[\Rightarrow \]\[W({{R}_{e}}+h)=\sqrt{\frac{G{{M}_{e}}}{({{R}_{e}}+h)}}\] \[\Rightarrow \]\[W=\sqrt{\frac{G{{M}_{e}}}{{{({{R}_{e}}+h)}^{3}}}}\]


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