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A particle of mass \( m \) moves in a circular orbit in a central potential field \( U(\mathrm{r})=\frac{1}{2} \mathrm{kr}^{2} \). If Bohrs quantization conditions are applied, radii of possible orbitals and energy levels vary with quantum number \( n \) as
(1) \( r_{n} \propto \sqrt{n}, E_{n} \propto \frac{1}{n} \)
(2) \( r_{n} \propto n^{2}, E_{n} \propto \frac{1}{n^{2}} \)
(3) \( r_{n} \propto \sqrt{n}, E_{n} \propto n \)
(4) \( r_{n} \propto n, E_{n} \propto n \)
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