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JEE Main20204 Sep 2020Evening ShiftPhysicsGravitationActual

A body is moving in a low circular orbit about a planet of mass M and radius R . The radius of the orbit can be taken to be R itself. Then the ratio of the speed of this body in the orbit to the escape velocity from the planet is:

Options

  1. A1 2
  2. B2
  3. C1
  4. D2

Correct answer

A. 1 2

Step-by-step solution

The orbital velocity of the body in an orbit of the radius R is v o = G m R The escape velocity from the surface is v e = 2 G m R Ratio, v 0 v e = G m R 2 G m R = 1 2

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