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

  • question_answer
    The period of a satellite in a circular orbit of radius R is T, the period of another satellite in a circular orbit of radius 4R is             [CPMT 1982; MP PET/PMT 1998; AIIMS 2000; CBSE PMT 2002]

    A) 4T

    B)               T/4

    C)             8T       

    D)              T/8

    Correct Answer: C

    Solution :

                    \[\frac{{{T}_{1}}}{{{T}_{2}}}={{\left( \frac{{{R}_{1}}}{{{R}_{2}}} \right)}^{3/2}}={{\left( \frac{R}{4R} \right)}^{3/2}}\Rightarrow \,{{T}_{2}}=8{{T}_{1}}\]


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