A particle of mass `m` moves along a circular orbit in centrosymmetrical potential field `U(r )=kr^(2)//2`. Using the Bohr quantization condition, find the permissible orbital radii and energy levels to that particle.

Answer

`[r_(n) = sqrt((nh)/(m omega))` and `E_(n)=` where `h = (h)/(2pi)` and `omega = sqrt((k)/(m))]`