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MHT CET202619 April 2026Evening ShiftPhysicsGravitationActual

A satellite is revolving around a planet in a circular orbit close to its surface. Let be mean density and R be the radius of the planet; then the period of the satellite is ( G = Universal constant of gravitation).

Options

  1. A4 G
  2. B2 G
  3. CG
  4. D3 G

Correct answer

D. 3 G

Step-by-step solution

The time period of a satellite revolving close to the surface of a planet is given by T = 2 R^3 GM . The mass of the planet can be expressed in terms of its mean density and radius R as M = 4 3 R^3 . Substituting the value of M in the expression for T : T = 2 R^3 G ( 4 3 R^3 ) T = 2 3 4 G T = 4 ^2 3 4 G T = 3 G Answer: 3 G

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