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MHT CET20227 Aug 2022Evening ShiftPhysicsGravitationActual

A geostationary satellite is revolving around the earth. If radius of the earth is ' R ' and the angular speed about its own axis is ' ' then the radius of the orbit of the geostationary satellite is ( g = acceleration due to gravity)

Options

  1. A[ R ^2 ^2 ~g ]^ 1 / 3
  2. B[ Rg ^2 ]^ 1 / 3
  3. C[ R ^2 ~g ]^ 1 / 3
  4. D[ R ^2 g ^2 ]^ 1 / 3

Correct answer

D. [ R ^2 g ^2 ]^ 1 / 3

Step-by-step solution

Considering force balance: Centrifugal force = Gravitation force, aligned & m ^2 r= G M m r^2 & r= G M ^2 ^ 1 / 3 aligned We know, g= G M R^2 r = ( R ^2 ~g ^2 )^ 1 / 3

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