A particle of mass moves in a circular orbit in a central potential field U (r )=U_0r^4. If Bohr's quantization conditions are applied, radii of possible orbitals r_nvary with n^ 1 , where is ______

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Correct answer: 3. (3) F= - dU dr=-4U_0r^3= mv^2r mv^2=4U_0r^4 v ∝r^2 mvr= nh2 r^3 ∝n r ∝n 13 =3

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

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