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

  • question_answer
    A satellite can be in a geostationary orbit around earth at a distance r from the centre. If the angular velocity of earth about its axis doubles, a satellite can now be in a geostationary orbit around earth if its distance from the centre is

    A) \[\frac{r}{2}\]               

    B)        \[\frac{r}{2\sqrt{2}}\]

    C) \[\frac{r}{{{\left( 4 \right)}^{1/3}}}\]     

    D)        \[\frac{r}{{{\left( 2 \right)}^{1/3}}}\]

    Correct Answer: C

    Solution :

    [c] Angular speed of earth = angular speed of geostationary satellite. If \[\omega \] is double, time period become half using \[{{T}^{2}}\propto r{{'}^{3}}r'=\frac{r}{{{4}^{1/3}}}\]


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