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IAT IISER2019PhysicsGravitation

A particle of mass m is rotating in a circular orbit of radius r under the action of gravity in the presence of another stationary particle of very large mass M(M m) . Consider that the gravitational potential energy is zero at infinite separation. If the total energy of the rotating particle is E , then, which of the following expressions correctly represents the angular momentum of the particle?

Options

  1. Ar 2 E m
  2. Br -2 E m
  3. Cr -E m / 2
  4. Dr E m / 2

Correct answer

B. r -2 E m

Step-by-step solution

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