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Question: Answered & Verified by Expert
The satellite of mass m revolving in a circular orbit of radius r around the earth has kinetic energy E. Then its angular momentum will be
PhysicsGravitationNEET
Options:
  • A Emr2
  • B E2mr2
  • C 2 Emr2
  • D 2 Emr
Solution:
2218 Upvotes Verified Answer
The correct answer is: 2 Emr2
If m is the mass and v is the orbital velocity of the satellite, then kinetic energy.

                   E=12mv2

or           Em=12m2v2

or       m2v2=2Em

or            mv=2Em                           .i

 If r is the radius of the orbit of the satellite, then its angular momentum

                   L=mvr

Using Eq. (i),

         L=2Emr=2Emr2

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