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NEETPhysicsGravitation

Statement (A) Two artificial satellites revolving in the same circular orbit have same period of revolution. Statement (B) The orbital velocity is inversely proportional to the square root of radius of the orbit. Statement (C) The escape velocity of the body is independent of the altitude of the point of projection.

Options

  1. AA, B, C are true
  2. BA, B true C false
  3. CA, C true B false
  4. DB, C true A false

Correct answer

B. A, B true C false

Step-by-step solution

Time period of satellite moving around a planet with angular velocity is given as, T= 2 Since, the two artificial satellites revolving in the same circular orbit, then their angular velocities will be same. Hence, both satellites revolve with same period of revolution. Orbital velocity of revolving satellite, v= G m r i.e v 1 r Where, m= mass of the planet G= Universal gravitational constant r= radius of circular orbit. Escape velocity depends on the gravitational potential at the point from where the body is launc

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