2. Questions Bank
  3. JEE Main & Advanced
  4. Physics
  5. Gravitation / गुरुत्वाकर्षण

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

  • 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

    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 :

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


You need to login to perform this action.
You will be redirected in 3 sec spinner