JEE Advanced · PhysicsEasy

The orbital velocity of a satellite revolving near the surface of the Earth depends on which of the following?

  1. A.Mass of the satellite
  2. B.Radius of the Earth
  3. C.Mass of the satellite and Earth
  4. D.None of these
Show correct answer & step-by-step solution

Correct answer: BRadius of the Earth

Solution

  1. The orbital velocity of a satellite is defined by the formula , where is the gravitational constant, is the mass of the Earth, and is the radius of the orbit.
  2. Since the satellite is revolving near the surface of the Earth, the orbital radius is approximately equal to the radius of the Earth.
  3. The formula shows that depends on the mass of the Earth () and the radius of the Earth (), but it is independent of the mass of the satellite.
  4. Hence the answer is (B).

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