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JEE Main20238 Apr 2023Evening ShiftPhysicsGravitationActual

The orbital angular momentum of a satellite is L , when it is revolving in a circular orbit at height h from earth surface. If the distance of satellite from the earth centre is increased by eight times to its initial value, then the new angular momentum will be

Options

  1. A8   L
  2. B9   L
  3. C4   L
  4. D3   L

Correct answer

D. 3   L

Step-by-step solution

For a satellite revolving around the Earth in a circular orbit, it can be written that m v 2 r = G M m r 2       . . . 1 ( r = R + h is the distance from the centre of the Earth) Simplify equation (1) to obtain the linear speed of the satellite. v = G M r Thus, the angular momentum of the satellite is given by L = m v r = m r G M r = m G M r       . . . 2 Similarly, for distance r ' from the centre of the Earth, the angular momentum is given by L ' = m G M r '    

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