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 an oxygen atom is 2.66 $\times$ 10^-26 kg,and the observed frequency of oscillation is 4.66 $\times$ 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) 2290 N/m

Question

Quizplus · Accepted Answer

The effective mass for O2 is half the atomic mass, so m = 1.33 x 10^-26 kg. Using the formula for frequency in SHM, f = (1/2π)√(k/m), solve for k: k = (2πf)^2 * m. Substituting the given values, k ≈ 1140 N/m.

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

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