Question

The orbit of geo-stationary satellite is circular, the time period of satellite depends on -
(i) Mass of the satellite
(ii) Mass of the earth
(iii) Radius of the orbit
Which of the following is correct?

• A. (i) only
• B. (i) and (ii)
• C. (i), (ii) and (iii)
• D. (ii) and (iii)

Answer 1

The correct option is D (ii) and (iii)

time period $T$ of satellite $T=\frac{2\pi r}{v}$

$r=$ Radius of orbit

$v=$ velocity of satellite

$v=\sqrt{\frac{GM}{r}}$

$T=\frac{2\pi r}{v}$=$\frac{2\pi r\sqrt{r}}{\sqrt{GM}}$

Hence time period $T$ depends on mass of earth and radius of orbit