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

  • question_answer
    A planet revolves about the sun in elliptical orbit. The areal velocity \[\left( \frac{dA}{dt} \right)\] of the planet is\[4.0\times 1{{0}^{16}} m/s\]. The least distance between planet and the sun is\[2\times {{10}^{12}}m\]. Then the maximum speed of the planet in km/s is

    A) 10

    B) 20   

    C) 30

    D) 40

    Correct Answer: D

    Solution :

    [d] \[\frac{L}{2m}=\frac{dA}{dt}\](L= angular momentum) \[\frac{m{{v}_{\max }}{{r}_{\min }}}{2m}=\frac{dA}{dt};{{v}_{\max }}=\frac{2dA/dt}{{{r}_{\min }}}=40\]


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