A body is moving in a low circular orbit about a planet of mass M and radius R . The radius of the orbit can…

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: 
  1. 12
  2. 2
  3. 1
  4. 2

Solution

The orbital velocity of the body in an orbit of the radius R is vo=GmR

The escape velocity from the surface is ve=2GmR

Ratio, v0ve=GmR2GmR=12

Asked in: JEE Main 2020 (04 Sep Shift 2)

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