The angular momentum of a planet of mass M moving around the sun in an elliptical orbit is L → . The…

The angular momentum of a planet of mass M moving around the sun in an elliptical orbit is L. The magnitude of the areal velocity of the planet is :
  1. 4LM
  2. LM
  3. 2LM
  4. L2M

Solution

For small displacement ds of the planet its area can be written as

dA=12rdl

=12rdsinθ

A.vel =dAdt=12rsinθdsdt=Vrsinθ2

dAdt=12mVrsinθm=L2 m

Asked in: JEE Main 2021 (18 Mar Shift 2)

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