de Broglie and PIB

1. de Broglie's derivation of the Bohr assumption for a H atom involves setting the wavelength of the electron equal to circumference of the orbit times a) n b) 1/n c) 1/n² d) n²

2. Show de Broglie's derivation of the Bohr assumption for a H atom. (mvr = nh/2p)

3. Show the "derivation" of the deBroglie equation ( l = h/mv) from Einstein and Plank equations.

4. Derive the energy of a particle in a one dimensional box from the de Broglie equation for the wave length of a particle.

5. What is the lowest energy level available to an electron confined to one dimensional box of length 10^-10 m in length?

6. Write a MathCad program to calculate the energy of H-atom like transition. Do it for He⁺ and for the transition n=3 to n=2 but have a program flexible enough that you can easily change the quantum numbers or the single electron atom.