Question

This is a challenging multi-step problem. Solve it on paper, writing out each step carefully. When doing calculations, do not round intermediate values. Note: If you have approached the problem in a principled way, do not abandon your approach if your numerical answer is not accepted; check your calculations! A particular solid metal has a Young's modulus of 20 × 10^10 N/m2; the mass of one mole of this metal is 59 g. Assume that in this metal the interatomic bond length is 2.22 × 10^-10 m. You observe a hot bar of this metal glowing a dull red. Using our simple model of a solid (see figure below, and note below), answer the following questions. (For the following questions, assume the wavelength of dull red light is 700 nm. Use the following fundamental constants: 1.602 × 10-19 J/eV for the conversion factor between joules and electron-volts, 1.055 × 10-34 J · s for ℏ , and 6.022 × 1023 for Avogadro's number.) The figure of intermolecular force of the metal is given only.

1. What is the energy of the lowest-energy spectral emission line, in eV? (Enter your answer to five decimal places.)
2. What is the approximate energy of the highest-energy spectral emission line?
3. What is the quantum number of the highest-energy occupied state?
4. Predict the energies of two other lines in the emission spectrum of the glowing iron bar.

Answer 1