A particle of mass $m$ moves in a circular orbit in a central potential field $U ( r ) = \frac { 1 } { 2 } k r ^ { 2 }$. If Bohr's quantization conditions are applied, radii of possible orbitals and energy levels vary with quantum number $n$ as: (1) $r _ { n } \propto n ^ { 2 } , E _ { n } \propto \frac { 1 } { n ^ { 2 } }$ (2) $r _ { n } \propto \sqrt { n } , E _ { n } \propto n$ (3) $r _ { n } \propto n , E _ { n } \propto n$ (4) $r _ { n } \propto \sqrt { n } , E _ { n } \propto \frac { 1 } { n }$
A particle of mass $m$ moves in a circular orbit in a central potential field $U ( r ) = \frac { 1 } { 2 } k r ^ { 2 }$. If Bohr's quantization conditions are applied, radii of possible orbitals and energy levels vary with quantum number $n$ as:\\
(1) $r _ { n } \propto n ^ { 2 } , E _ { n } \propto \frac { 1 } { n ^ { 2 } }$\\
(2) $r _ { n } \propto \sqrt { n } , E _ { n } \propto n$\\
(3) $r _ { n } \propto n , E _ { n } \propto n$\\
(4) $r _ { n } \propto \sqrt { n } , E _ { n } \propto \frac { 1 } { n }$