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

  • question_answer
    In planetary motion the areal velocity of position vector of a planet depends on angular velocity \[(\omega )\] and the distance of the planet from sun (r). If so the correct relation for areal velocity is    [EAMCET 2003]

    A)             \[\frac{dA}{dt}\propto \omega r\]

    B)             \[\frac{dA}{dt}\propto {{\omega }^{2}}r\]

    C)             \[\frac{dA}{dt}\propto \omega {{r}^{2}}\]

    D)               \[\frac{dA}{dt}\propto \sqrt{\omega r}\]

    Correct Answer: C

    Solution :

                    \[\frac{dA}{dt}=\frac{L}{2m}=\frac{dA}{dt}\propto vr\propto \omega {{r}^{2}}\]


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