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JEE Main202310 Apr 2023Morning ShiftPhysicsGravitationActual

Two satellites of masses m and 3 m revolve around the earth in circular orbits of radii r & 3 r respectively. The ratio of orbital speeds of the satellites respectively is

Options

  1. A3 : 1
  2. B3 : 1
  3. C9 : 1
  4. D1 : 1

Correct answer

A. 3 : 1

Step-by-step solution

The orbital velocity is given V = G M r where M is the mass of earth and r is the radius of the orbit of satellite. The velocity of the satellite with mass m is V 1 = G M r and the velocity of the satellite with mass 3 m is V 2 = G M 3 r Hence, the ratio of the velocities is V 1 V 2 = 3 r r = 3 1

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