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

  • question_answer
     If a new planet is discovered rotating around Sun with the orbital radius double that of earth, then what will be its time period (in earth's days)                            [DCE 2004]

    A) 1032   

    B)             1023

    C)             1024   

    D)              1043

    Correct Answer: A

    Solution :

                    \[{{T}^{2}}\propto {{R}^{3}}\] Þ\[{{\left( \frac{{{T}_{P}}}{{{T}_{E}}} \right)}^{2}}={{\left( \frac{{{R}_{P}}}{{{R}_{E}}} \right)}^{3}}={{\left( \frac{2{{R}_{E}}}{{{R}_{E}}} \right)}^{3}}\] Þ \[\frac{{{T}_{P}}}{{{T}_{E}}}={{(2)}^{3/2}}=2\sqrt{2}\] Þ \[{{T}_{P}}=2\sqrt{2}\times 365=1032.37\]= 1032 days


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