JEE Main & Advanced Physics Gravitation / गुरुत्वाकर्षण Question Bank Self Evaluation Test - Gravitation

  • question_answer
    The distance of Neptune and Saturn from the sun is nearly \[1{{0}^{13}} and 1{{0}^{12}}\] meter respectively. Assuming that they move in circular orbits, their periodic times will be in the ratio

    A) 10

    B) 100  

    C) \[10\sqrt{10}\]

    D) 1000

    Correct Answer: C

    Solution :

    [c] \[{{T}^{2}}\propto {{R}^{3}}\] (According to Kepler's law) \[{{T}_{1}}^{2}\propto {{\left( {{10}^{13}} \right)}^{3}}and\,\,{{T}_{2}}^{2}\propto {{\left( {{10}^{12}} \right)}^{3}}\] \[\therefore \frac{{{T}_{1}}^{2}}{{{T}_{2}}^{2}}={{\left( 10 \right)}^{3}}or\,\frac{{{T}_{1}}}{{{T}_{2}}}=10\sqrt{10}\]


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