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AP EAMCET202315 May 2023Evening ShiftPhysicsGravitationActual

The orbital velocity of a body near the surface of a planet ' A ' is equal to escape velocity of a body from the planet ' B '. If the masses of planets A and B are same, the ratio of their radii is

Options

  1. A1
  2. B1 2
  3. C1 3
  4. D2

Correct answer

B. 1 2

Step-by-step solution

Orbital velocity of a body of planet A, V _ A = GM _ A r _ A Escape velocity of a body of planet B, aligned & V _ B = 2 GM _ B r _ B & V _ A = V _ B & GM _ A r _ A = 2 GM _ B r _ B ( M _ A = M _ B ) & r _ A r _ B = 1 2 aligned

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