A particle moves in a 3-dimensional space in a central potential V (r)=k r4, where k is a constant. The angular frequency \(\omega \) for a circular orbit depends on its radius R as?
1
\(\omega \propto R \)
2
\(\omega \propto R^{-1} \)
3
\(\omega \propto R^{1/4} \)
4
\(\omega \propto R^{-2/3} \)