Question

1. Review questions, must show your work:
   1. A scientist is trying to eject electrons from a metal by shining a light on it. The electrons are bound inside the metal need energy of 2.0 eV to escape. Which wavelength will eject electrons? a. 350 nm b. 420 nm c. any of these d. 600 nm e. none of these
   2. (Write a possible answer in …) The Pauli Exclusion Principle says that…
   3. The orbital quantum number l determines the (a) direction of the electron's orbital angular momentum, (b) z-component of the electron's angular momentum, (c) magnitude of the electron's spin, (d) magnitude of the electron's orbital angular momentum.
   4. A phenomenon that demonstrates that electron has wavelike properties is: a) the black body spectrum, b) the photo electric effect, c) electron diffraction, d) all of them
   5. Sketch the n = 1, and n = 2 energy levels for a hydrogen atom in a magnetic field. Indicate three possible transitions with solid lines. Indicate three forbidden (or at least highly suppressed) transitions with dotted lines, and state why they are forbidden. (Ignore fine and hyperfine structure.)

6. Derive quantized energy levels E

= -13.6 / n²eV of H atom based on Bohr quantization.

7. Two electrons are ejected in opposite directions from a radioactive material at rest in the laboratory. Each electron has a speed of 0.8c as measured by a laboratory observer. What is the speed of one electron as measured by the other? Write 4-momentum equations and comment about invariant property of 4-momentum.

Answer 1

(al fo =zev Using d=1240 ev (um) Folev) =) 12 40 ₂ 620 to energy com .: All of these wavelengths can eject electrons, all these wavelengths correspond > Eo. (6) Paulis exclusión principle states that no two electrons in atom have identical set of quantum numbers. (c) felt I Combital quantum number) determines the magnitude of electrons orbital angular III =(Jece id) h (d) Let Election diffraction tells that election has ware like properties and hence its bends about sharp edges (obstacles). momentum given by :-