A satellite moves in a stable circular orbit round the earth if… | MHT CET 2023 (10 May, Shift 1)

Q28MHT CET 2023 · 10 MAY · SHIFT 1Easy

Satellites - Orbital Velocity & Period

A satellite moves in a stable circular orbit round the earth if (where $V_H, V_c$ and $V_e$ are the horizontal velocity, critical velocity and escape velocity respectively)

Show answer and solution

Answer: (c)

A stable circular orbit needs gravity to supply exactly the centripetal force: $\frac{mV_H^2}{r} = \frac{GMm}{r^2}$ .
This gives $V_H = \sqrt{\frac{GM}{r}} = V_c$ , the critical velocity.
If $V_H < V_c$ it falls back; if $V_c < V_H < V_e$ the orbit is elliptical; if $V_H \ge V_e$ it escapes.
So the answer is (c) $V_H = V_c$ .

Report a mistake

More questions on Satellites - Orbital Velocity & Period

Two satellites A and B move round the earth in the same orbit. The mass of A is twice the…JEE Main 2023 (12 Apr, Shift 1)
Two satellites of masses m and 3m revolve around the earth in circular orbits of radii r…JEE Main 2023 (10 Apr, Shift 1)
A satellite is orbiting just above the surface of the earth with period T. If d is the…NEET 2023
The time period of a satellite of earth is 24 hours. If the separation between the earth…JEE Main 2023 (29 Jan, Shift 2)
The radius of the orbit of a geostationary satellite is (mean radius of earth is ' R '…MHT CET 2023 (11 May, Shift 2)
Periodic time of a satellite revolving above the earth's surface at a height equal to…MHT CET 2023 (9 May, Shift 2)
The time period of a satellite, revolving above earth's surface at a height equal to R…JEE Main 2023 (10 Apr, Shift 2)
Consider a light planet revolving around a massive star in a circular orbit of radius ' r…MHT CET 2023 (12 May, Shift 1)

Satellites - Orbital Velocity & Period question from MHT CET 2023 (10 May, Shift 1)

More questions on Satellites - Orbital Velocity & Period