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[" A particle of mass "m" moves in a circular orbit in a central "],[" potential field "U(r)=(1)/(2)kr^(2)" .If Bohr's quantization "],[" conditions are applied,radii of possible orbitals and energy "],[" levels vary with quantum number "n" as "],[[" (a) "r_(n)prop n^(2),E_(n)prop(1)/(n^(2))," (b) "r_(n)prop sqrt(n),E_(n)prop n],[" (c) "r_(n)oo sqrt(n),E_(n)prop(1)/(n)," (d) "r_(n)prop n,E_(n)oo n],[" (January "2019)]]

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A particle of mass m moves in a circular orbit in a central potential field U(r )=U_(0)r^(4) . If Bohr's quantization conditions are applied, radü of possible orbitals r_(n) vary with n^((1)/(alpha)) , where alpha is _________.

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