RAJASTHAN PMT Rajasthan - PMT Solved Paper-2006

  • question_answer
    The radius of the orbit of a planet is two rimes that of the earth. The time period of planet is:

    A)  4.2 T                                     

    B)         2.8 T                     

    C)         5.6 T                                     

    D)         8.4 T

    Correct Answer: B

    Solution :

    Applying Kepler s third law                 \[{{T}^{2}}\propto {{R}^{3}}\] Hence,\[{{\left( \frac{{{T}_{1}}}{{{T}_{2}}} \right)}^{2}}={{\left( \frac{{{R}_{1}}}{{{R}_{2}}} \right)}^{3}}={{\left( \frac{R}{2\,\,R} \right)}^{3}}\]                 \[\frac{T}{{{T}_{2}}}={{\left( \frac{1}{2} \right)}^{3/2}}\] So,          \[{{T}_{2}}=2.8\,\,T\]


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