The mean radius of the earth is \( R \), its angular speed on its own axis is \( \omega \) and t...

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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) \( R g / \omega^{2} \)
(d) \( R^{2} g / \omega^{2} \)
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