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MHT CET20225 Aug 2022Morning ShiftPhysicsGravitationActual

A satellite of mas ' m ' is revolving around the earth of mass ' M ' in an orbit of radius ' r '. The angular momentum of the satellite about the centre of orbit will of

Options

  1. AGMmr
  2. BMvr
  3. CGMm
  4. DGMm ^2 r

Correct answer

D. GMm ^2 r

Step-by-step solution

The correct option is (D). Considering force balance in the orbit: GMm r ^2 = mv ^2 r Gravitational force balances the centrifugal force. The orbital velocity can be obtained as: v= G M r Therefore, angular momentum is equal to, L = mvr = GMm ^2 r

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