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MHT CET202014 Oct 2020Evening ShiftPhysicsGravitationActual

The radius of the orbit of a geostationary satellite is (mean radius of the earth is R , angular velocity about an axis in and accleration due to gravity on earth's surface is g)

Options

  1. A( g R² ² )^ 1 / 3
  2. Bg R² ²
  3. C( g R² ² )^ 2 / 3
  4. D( g R² ² )^ 1 / 2

Correct answer

A. ( g R² ² )^ 1 / 3

Step-by-step solution

aligned m r ² &= G M m r² r ² &= G M r² r³ &= G M ² = G M R² R² ² =g R² ² r &= ( R² g ² )^ 1 / 3 aligned

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