$A$ geostationary satellite:

$A$ satellite is orbiting the earth in a circular orbit of radius $r$. Which of the following is true?

$A$ satellite is revolving very close to a planet of density $\rho$. The period of revolution of the satellite is

The speed of a satellite in a circular orbit of radius $R_0$ around the earth is $v_0$. Another satellite is in an elliptic orbit around the earth. If the minimum and maximum speeds of the second satellite are $\alpha v_0$ and $\beta v_0$ respectively,then its time period is

The kinetic energy of a revolving satellite of mass $m$ at a height equal to thrice the radius of the Earth $R$ is:

The time period $T$ of a satellite is related to the density $(\rho)$ of the planet around which it is orbiting close to the surface as: