# Problem: Consider the spacing of vibrational energy levels of Pb and Al based on the quantum harmonic oscillator model for the interatomic bound. Pb has a stiffness of ks ∼ 5N/m and an atomic mass of 207 mN (where mN is the mass of a nucleon). For Al, the stiffness is ks ∼ 17N/m, and the atomic mass is 27 mN. Determine the ratio of the energy level spacings, ΔEAl / ΔEPb. Choose one: 1. 0.5 2. 1 3. 6 4. 1.33 5. 2 6. 5.11 7. 3.33 8. 4

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Consider the spacing of vibrational energy levels of Pb and Al based on the quantum harmonic oscillator model for the interatomic bound. Pb has a stiffness of ks ∼ 5N/m and an atomic mass of 207 mN (where mN is the mass of a nucleon). For Al, the stiffness is ks ∼ 17N/m, and the atomic mass is 27 mN. Determine the ratio of the energy level spacings, ΔEAl / ΔEPb. Choose one:

1. 0.5

2. 1

3. 6

4. 1.33

5. 2

6. 5.11

7. 3.33

8. 4