Orbital Velocity — MCQ Practice

A satellite orbits the Earth at a height $h$ above its surface. If $R$ is the radius of the Earth and $g$ is the acceleration due to gravity on the Earth's surface, what is the orbital velocity of the satellite?

Two satellites $A$ and $B$ are orbiting the Earth. Satellite $A$ is at a height $R$ above the Earth's surface, and satellite $B$ is at a height $2R$ above the Earth's surface, where $R$ is the radius of the Earth. What is the ratio of their orbital velocities, $v_A : v_B$?

If a satellite is orbiting very close to the Earth's surface (i.e., $h \ll R$), what is its approximate orbital velocity? (Given: $g = 9.8,\text{m/s}^2$, $R = 6.4 \times 10^6,\text{m}$)

A satellite of mass $m$ is orbiting a planet of mass $M$ in a circular orbit of radius $r$. If the mass of the satellite is doubled to $2m$, what will be its new orbital velocity at the same orbital radius $r$?

The orbital velocity of a satellite revolving around a planet at a height $h$ from its surface is $v_o$. If the radius of the planet is $R$, and the escape velocity from the planet's surface is $v_e$, what is the relationship between $v_o$ and $v_e$ if the satellite is orbiting very close to the surface ($h \approx 0$)?

A satellite is in a circular orbit around a planet. If the orbital radius is increased by a factor of 4, how will its orbital velocity change?