Gravitation Question 360

Question: 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

Options:

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}}}] $

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Answer:

Correct Answer: C

Solution:

  • 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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