The mean radius of the earth is R, its angular speed on its own axis is \[\omega \] and the acceleration due to gravity at earth's surface is g. The cube of the radius of the orbit of a geostationary satellite will be [CBSE PMT 1992]

• A.             \[{{R}^{2}}g/\omega \]
• B.               \[{{R}^{2}}{{\omega }^{2}}/g\]
• C.             \[Rg/{{\omega }^{2}}\]       
• D.             \[{{R}^{2}}g/{{\omega }^{2}}\]