Diatomic Molecules Such as H₂ and O₂ Undergo Simple Harmonic

Multiple Choice

Diatomic molecules such as H₂ and O₂ 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 1.67 × 10⁻²⁷ kg and the observed frequency of oscillation is 1.25 × 10¹⁴ Hz, what is the effective spring constant associated with the bond between the hydrogen atoms?

A) 1030 N/m
B) 515 N/m
C) 164 N/m
D) 82 N/m
E) 13 N/m