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}}}] $
Show Answer
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}}}] $
