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MHT CET202522 Apr 2025Morning ShiftPhysicsGravitationActual

Two satellites P and Q go round a planet in circular orbits having radii ' 3 R ' and ' R ' respectively. If the speed of satellite P is ' 2 V ', the speed of the satellite Q will be

Options

  1. A2 3 V
  2. B2 ~V 3
  3. CV 2
  4. DV 3

Correct answer

A. 2 3 V

Step-by-step solution

The orbital speed for any satellite in circular orbit is given by v = GM r . For satellite P with radius r_P = 3R and speed v_P = 2V , we have 2V = GM 3R . For satellite Q at radius r_Q = R , the speed becomes v_Q = GM R = 3 GM 3R . Substituting from the expression for satellite P yields v_Q = 3 2V = 2 3 V .

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