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JEE Main2016PhysicsGravitationActual

A satellite is revolving in a circular orbit at a height h from the earth's surface (radius of earth R ; h << R ). The minimum increase in its orbital velocity required, so that the satellite could escape from the earth's gravitational field, is close to (Neglect the effect of atmosphere.)

Options

  1. Ag R 2
  2. Bg R 2 - 1
  3. C2 g R
  4. Dg R

Correct answer

B. g R 2 - 1

Step-by-step solution

Since, h << R , V e = 2 g R & V 0 = g R ∴ The minimum increase in velocity required, V e - V 0 = 2 g R - g R = 2 - 1 g R

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