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

  • question_answer
    The distance of neptune and saturn from sun are nearly \[{{10}^{13}}\] and \[{{10}^{12}}\] meters respectively. Assuming that they move in circular orbits, their periodic times will be in the ratio          [NCERT 1975; CBSE PMT 1994; MP PET 2001]

    A)             \[\sqrt{10}\]    

    B)             100

    C)             \[10\sqrt{10}\]

    D)               \[1/\sqrt{10}\]

    Correct Answer: C

    Solution :

                    \[\frac{{{T}_{1}}}{{{T}_{2}}}={{\left( \frac{{{R}_{1}}}{{{R}_{2}}} \right)}^{3/2}}={{\left( \frac{{{10}^{13}}}{{{10}^{12}}} \right)}^{3/2}}={{(1000)}^{1/2}}\]\[=10\sqrt{10}\]


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