Time Period of Satellite — MCQ Practice

A satellite orbits the Earth in a circular path at a height $h$ from the surface. If the radius of the Earth is $R_E$ and the mass of the Earth is $M_E$, what is the time period of the satellite?

Two satellites, S1 and S2, are orbiting a planet in circular orbits. Satellite S1 has an orbital radius $r$ and a time period $T$. If satellite S2 has an orbital radius of $4r$, what is its time period?

A geostationary satellite orbits Earth. Which of the following statements about its time period is correct?

A satellite of mass $m$ orbits a planet of mass $M$ at an orbital radius $r$. If the mass of the satellite is doubled to $2m$, what will be its new time period, assuming the orbital radius remains the same?

A satellite is orbiting Earth at a height of $3R_E$ from the surface, where $R_E$ is the radius of Earth. If the time period of a satellite orbiting just above the Earth's surface (i.e., $h \approx 0$) is $T_0$, what is the time period of the first satellite?

A satellite is in a circular orbit around a planet. If the orbital velocity of the satellite is $v$ and the orbital radius is $r$, what is its time period?