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JEE Main & Advanced Physics Gravitation / गुरुत्वाकर्षण Question Bank Kepler's Laws of Planetary Motion

  • question_answer
    If orbital velocity of planet is given by \[v={{G}^{a}}{{M}^{b}}{{R}^{c}}\], then      [EAMCET 1994]

    A)             \[a=1/3,\,b=1/3,\,c=-1/3\]

    B)             \[a=1/2,\,b=1/2,\,c=-1/2\]

    C)               \[a=1/2,\,b=-1/2,\,c=1/2\]

    D)             \[a=1/2,\,b=-1/2,\,c=-1/2\]

    Correct Answer: B

    Solution :

                    \[v=\sqrt{\frac{GM}{R}}\] \[={{G}^{1/2}}{{M}^{1/2}}{{R}^{-1/2}}\]


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