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MGIMS WARDHA MGIMS WARDHA Solved Paper-2011

  • question_answer
    If the height of a satellite from the earth is negligible in comparison to the radius of the earth R, the orbital velocity of the satellite is

    A) \[gR\]                                   

    B) \[\frac{gR}{2}\]

    C)  \[\sqrt{\frac{g}{R}}\]                                    

    D) \[\sqrt{gR}\]

    Correct Answer: D

    Solution :

                     Orbital velocity, \[{{v}_{0}}=\sqrt{\frac{g{{R}^{2}}}{R+h}}\] if\[R>>h\] \[{{v}_{0}}=\sqrt{\frac{g{{R}^{2}}}{R}}=\sqrt{gR}\]


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