JEE Main202529 Jan 2025Evening ShiftPhysicsGravitationActual
Two planets, A and B are orbiting a common star in circular orbits of radii R_A and R_B , respectively, with R_B=2 R_A . The planet B is 4 2 times more massive than planet A . The ratio ( L_B L_A ) of angular momentum (L_B ) of planet B to that of planet A (L_A ) is closest to integer ________.
Correct answer
0
Step-by-step solution
L = mv ₀ R = m GM R R = m GMR here M is mass of star aligned & L _ B ~L _ A = m _ B ~m _ A R _ B R _ A & =4 2 2 1 & ~L _ B ~L _ A =8 aligned