Diatomic Molecules Such as H₂ and F₂ Undergo Simple Harmonic

Multiple Choice

Diatomic molecules such as H₂ and F₂ undergo simple harmonic motion with frequencies that obey Hooke's Law, with an effective mass equal to half the atomic mass. If the mass of a hydrogen atom is 1.627 × 10⁻²⁷ kg and the mass of a fluorine atom is 3.17 × 10⁻²⁶ kg, what is the approximate ratio of the oscillation frequency of H₂ to that of F₂, assuming the bond strengths are the same?

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