1. An FM station broadcasts music at 93.5 MHz (megahertz, or 106 Hz). Find the wavelength (in m, nm, and Å) of these waves.
2. x-ray has a wavelength of 1.3 Å. Calculate the energy (in J) of one photon of this radiation. (1 A = 1X10-10m)
3. Use the Rydberg equation to find the wavelength (in nm) of the photon emitted when an electron in an H atom undergoes a transition from n =5 to n=2.
4. A 232-lb fullback runs 40 yd at 19.8±0.1 mi/h.
(a)What is his de Broglie wavelength (in meters)? (b) What is the uncertainty in his position?
5. How many orbitals in an atom can have each of the following designations:
(a) 1s; (b) 4d; (c) 3p; (d) n =3?
6. Give all possible mlvalues for orbitals that have each of the following:
(a) l = 2; (b) n = 1; (c) n =4, l = 3.
7. For each of the following, give the sublevel designation, the allowable m
values, and the number of orbitals:
(a) n = 4, l = 2 (b) n = 5, l = 1 (c) n = 6, l = 3
8. Are the following combinations allowed? If not, show two ways to correct them:
(a) n =1; l = 0; ml= 0
(b) n =2; l =2; ml= +1
(c) n= 7; l =1; ml =+2
(d) n = 3; l = 1; ml= -2
9. How many electrons in an atom can have each of the following quantum number or sublevel designations?
(a) 4p (b) n =3, l = 1, ml= +1 (c) n =5, l = 3
10.Write the full electron configuration for each also show how electron will stay at each orbital using Hunds rule.
(a) Rb (b) Ge (c) Ar (d) Cs