AP EAMCET202017 Sep 2020Morning ShiftPhysicsGravitationActual
Kepler's second law (law of areas) is nothing but a statement of
Options
- Awork-energy theory
- Bconservation of linear momentum
- Cconservation of angular momentum
- Dconservation of energy
Correct answer
C. conservation of angular momentum
Step-by-step solution
According to Kepler's second law of planetary motion, the radius vector joining planet to the sun sweeps out equal areas, in equal interval of time. i.e., ( A t = constant ) According to figure, ( r ) be the position vector of the planet w.r.t sun and ( F ) be the gravitational force on the planet due to the sun. Then, torque exerted on the planet by this force about the sun is ( aligned = r F =0 [ r and F are oppositely directed ] aligned ) But ( array ll But & = d L d t & d L d t =0 L = constant array ) Angular m