Correct Answer - Option 1 : 1 : 1
CONCEPT:
Satellite:
- Satellites are natural or artificial bodies describing an orbit around a planet under its gravitational attraction.
The time period of a satellite
- The time taken by the satellite to make one complete rotation around the earth is called the time period.
- Time-period of the satellite is given as,
\(⇒ T=\frac{2\pi}{R}\left [ \frac{r^{3}}{g} \right ]^{\frac{1}{2}}\)
Where T = time period, R = radius of the earth, r = radius of the orbit, and g = gravitational acceleration
EXPLANATION:
- The time period of the satellite is given as,
\(⇒ T=\frac{2\pi}{R}\left [ \frac{r^{3}}{g} \right ]^{\frac{1}{2}}\) -----(1)
Where T = time period, R = radius of the earth, r = radius of the orbit, and g = gravitational acceleration
- By equation 1 it is clear that the time period of the satellite depends on the parameters R, g, and r, but it is independent of the mass of the satellite.
- We know that the parameters R, g, and r will be the same in a particular orbit for all the satellites.
- So all the satellites which are rotating in the same orbit will have the same time period. Hence, option 1 is correct.
