A particle of mass \( m \) moves in a circular orbit in a central p...

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A particle of mass \( m \) moves in a circular orbit in a central potential field \( U\left({ }^{r}\right)=U_{0} r^{4} \). If Bohr's quantization conditions are applied, radii of possible orbital \( r_{n} \) vary with \( n^{\frac{1}{\alpha}} \), where \( \alpha \) is
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