JEE Main & Advanced Physics Gravitation / गुरुत्वाकर्षण Question Bank Motion of Satellite

  • question_answer
    If \[{{v}_{e}}\] and \[{{v}_{o}}\] represent the escape velocity and orbital velocity of a satellite corresponding to a circular orbit of radius R, then   [CPMT 1982; MP PMT 1997; KCET (Engg./Med.) 1999; AIIMS 2002]

    A)             \[{{v}_{e}}={{v}_{o}}\]

    B)             \[\sqrt{2}{{v}_{o}}={{v}_{e}}\]

    C)             \[{{v}_{e}}={{v}_{0}}/\sqrt{2}\]

    D)             \[{{v}_{e}}\] and \[{{v}_{o}}\] are not related

    Correct Answer: B

    Solution :

                    \[{{v}_{e}}=\sqrt{2gR}\] and \[{{v}_{0}}=\sqrt{gR}\]\ \[\,\sqrt{2}\,{{v}_{0}}={{v}_{e}}\]


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