Problems Due Monday, October 24 (Tuesday is OK)
If a typical photon from the sun has a wavelength given by Lambda(max) =
.3/T cm, find the number of photons (all assumed to have wavelength =
Lambda(max)) radiated by the sun each second. How many of those photons
hit the earth?
Problems: Chapter 4: 11, 16b, 26, 36, 37, 47, 60, 61, 72 and
1. In a neutral sodium atom (11 protons and 11 electrons) - ten of the electrons live in the orbits with n=1 and n=2. The eleventh lives way out in the orbit with n=3. The Bohr one-electron atom gives us a crude model for this atom - a core with 11 protons and 10 electrons, and a lone electron with n=3. To remove that 11th electron takes 5.1 eV (to get it from n=3 to E=0 (n = infinity), this is called the ionization energy). Use this information to find the effective charge of the core - certainly not 11e, but probably not 1e either - more on this later!).
2. See figure 5 in Chapter 7, which shows the result we found for the Bohr atom, then compute the following
a. The photon wavelength for the lowest energy Lyman transition
b. The photon wavelength for the highest energy Balmer transition
c. The photon energies for the two lowest energy Balmer transitions
some for your notebook - 18, 20, 41 (we did 46 in class)
Video link: The Double Slit - with Dr. Quantum
1. Using the method discussed in class, find the cube root of i, and the cube root of -1 and write them in (a + ib) form. Show that when you cube (a + ib), you get i and -1, respectively.
and extra credit: 30
(And some simple ones to do in your notebook: 26 and 27)
Problems - Chapter 7: 18, 21, 22a, (we did 24 in class), 37, 44, 45, 53, 56, 67
Chapter 8: 29, 41
2-d Infinite Square well wavefunctions: 12, 12 squared, 13, 13 squared, 23, 23 squared
Link to the H-atom orbitals, and more