MGIMS WARDHA MGIMS WARDHA Solved Paper-2011

  • question_answer
    A satellite is revolving round me earth in an elliptical orbit. Its speed

    A)  will be same at all points of the orbit

    B)  will be maximum when it is at maximum distance from earth

    C)  will be maximum when its distance from the earth will be minimum

    D)  goes on  increasing or decreasing continuous in dependines upon the mass of the satellite

    Correct Answer: C

    Solution :

                     According to Kepler's law \[{{T}^{2}}\propto {{r}^{3}}\] \[\omega =\frac{2\pi }{T}\]or\[T=\frac{2\pi }{\omega }\] \[\frac{4{{\pi }^{2}}}{{{\omega }^{2}}}\propto {{T}^{3}}\]or\[{{\omega }^{2}}\propto \frac{1}{{{r}^{3}}}\] So, speed\[\omega \]will be maximum when distance from the earth r is minimum.


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