Diatomic Molecules Such as H₂ and O₂ Undergo Simple Harmonic $\times$

Multiple Choice

Diatomic molecules such as H₂ and O₂ undergo simple harmonic motion with frequencies that obey Hooke's Law with the effective mass being half the atomic mass.If the mass of a hydrogen atom is 1.627 $\times$ 10^-27 kg and that of fluorine is 3.17 $\times$ 10^-26 kg,what is the ratio of oscillation frequencies of H₂ to that of F₂,assuming that the bond strength between the atoms of hydrogen is the same as that between fluorine atoms?

A) 360
B) 19
C) 38
D) 4.4
E) 9.5