Question

If $v_e$ and $v_o$ represent the escape velocity and orbital velocity of a satellite corresponding to a circular orbit of radius R, then

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

The escape velocity $\left(v_e\right)$ is the minimum speed needed for an object to escape from the gravitational influence of a massive body. The escape velocity from the earth is about 11.186 km/s.

Orbital Velocity $\left(v_o\right)$: objects that travel in uniform circular motion around the earth are said to be "in orbit".The velocity of this orbit depends on the distance from the object to the center of the earth. A satellite is orbiting the earth with an orbital velocity of 3200 m/s.

So, here $v_e=\sqrt{\frac{2gM}{R}}and{v}_0=\sqrt{\frac{gM}{R}}\therefore \sqrt{2}{v}_o=v_e$