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 an oxygen atom is 2.66 × 10⁻²⁶ kg and the observed frequency of oscillation is 4.66 × 10¹³ Hz, what is the effective spring constant associated with the bond between the atoms in an oxygen molecule (O₂) ?

A) 1140 N/m
B) 182 N/m
C) 116 N/m
D) 29 N/m
E) 2280 N/m