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NTA Abhyas JEE Main2020PhysicsGravitationPractice

An artificial satellite is moving in a circular orbit around the earth with a speed equal to half the magnitude of escape velocity from the earth. The height of satellite above the surface of earth is -(where R = r a d i u s o f e a r t h )

Options

  1. AR
  2. B2 R
  3. C3 R
  4. D4 R

Correct answer

A. R

Step-by-step solution

escape velocity V s = 2 G m R orbital velocity V 0 = G m r given V 0 = 1 2 V e ⇒ G m R + h = 1 2 2 G m R ⇒ R + h = 2 R or h = R

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