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Manipal MET2016PhysicsGravitation

In a planetary motion, the areal velocity of position vector of a planet depends on angular velocity ( ) and distance (r) of the planet from the sun. The correct relation for areal velocity ( d A d t ) is

Options

  1. Ad A d t r
  2. Bd A d t ^2 r
  3. Cd A d t r^2
  4. Dd A d t r

Correct answer

C. d A d t r^2

Step-by-step solution

Areal velocity, d A d t = L 2 m where, L= angular momentum d A d t = m r^2 2 m [ L=m r^2 ] r^2

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