A) \[{{R}^{2}}g/\omega \]
B) \[{{R}^{2}}{{\omega }^{2}}/g\]
C) \[Rg/{{\omega }^{2}}\]
D) \[{{R}^{2}}g/{{\omega }^{2}}\]
Correct Answer: D
Solution :
Orbital velocity \[{{v}_{0}}=\sqrt{\frac{GM}{r}}=\sqrt{\frac{g{{R}^{2}}}{r}}\] and \[{{v}_{0}}=r\omega \] This gives \[{{r}^{3}}=\frac{{{R}^{2}}g}{{{\omega }^{2}}}\]You need to login to perform this action.
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