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KCET2025PhysicsGravitation

If r_p, v_p, L_p and r_a, v_a, L_a are radii, velocities and angular momenta of a planet at perihelion and aphelion of its elliptical orbit around the Sun respectively, then

Options

  1. Ar_p r_a, v_p v_a, L_a L_p
  2. Br _ p r _ a , v _ p v _ a , L _ a = L _ p
  3. Cr _ p r _ a , v _ p v _ a , L _ a = L _ p
  4. Dr _ p r _ a , v _ p v _ a , L _ a L _ p

Correct answer

B. r _ p r _ a , v _ p v _ a , L _ a = L _ p

Step-by-step solution

Angular momentum is conserved L_p=L_a Perihelion is point closet to the sun. r _ p r _ a Also, mv _ p r _ p = mv _ a r _ a v _ p v _ a

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