A satellite is revolving round the earth in circular orbit, which of the following is true ?
- if mass of earth is made four times, keeping other factors constant, orbital speed of satellite will become two times
- corresponding to change in part(a), times period of satellite will remain half
- when value of G is made two times orbital speed increases and time period decreases
- G has no effect on orbital speed and time period and time period
Answer & explanation
Correct answer: option 3
\(v \propto \sqrt{m}\)
\(v_2 = 2 v_1\)
\(\Rightarrow T \propto \frac{1}{v}\)
\(\Rightarrow T_2 = \frac{1}{2} T_1\)
as \(v \propto \sqrt{G}\) so wth increase in G, v increase and T decreases.