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

  • question_answer
    If the earth is at one-fourth of its present distance from the sun, the duration of the year will be        [EAMCET 1987]

    A) Half the present year

    B)             One-eighth the present year

    C)             One-fourth the present year

    D)             One-sixth the present year

    Correct Answer: B

    Solution :

                    Since \[{{T}^{2}}\propto {{r}^{3}}\]\[\therefore \,\,{{\left( \frac{{{T}'}}{T} \right)}^{2}}={{\left( \frac{1}{4} \right)}^{3}}\,\Rightarrow \,{T}'=\frac{1}{8}T\]


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