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MHT CET202521 Apr 2025Evening ShiftPhysicsGravitationActual

The radii of circular orbits of two satellites A and B of the earth are ' 4 R ' and ' R ' respectively, where R is the radius of earth. If the speed of satellite B is 6 V , then the speed of satellite A will be

Options

  1. A3 V
  2. B4 V
  3. C12 V
  4. D3 4 ~V

Correct answer

A. 3 V

Step-by-step solution

The orbital speed for a satellite is given by v = GM r , where r is the orbital radius. For satellite B with r_B = R and v_B = 6V , we have 6V = GM R . Satellite A orbits at r_A = 4R , so its speed is v_A = GM 4R = 1 2 GM R . Substituting from the satellite B expression gives v_A = 1 2 (6V) = 3V . Final answer: 3V

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