Quantum Mechanics Review

Define the following in your own words.

1. Double Slit Experiment2. Interference Pattern3. Blackbody Radiation4. Photoelectric Effect5. Compton Effect6. de Broglie Equation7. Classical Physics8. EMR Wave9. Max Planck10. Electron Volt11. Heinrich Hertz12. Threshold Frequency13. Work Function14. Robert Millikan15. Heisenberg Uncertainty Principle16. Principle Quantum Number (n)17. Angular Momentum Number (l)18. Magnetic Quantum Number (ml)19. Spin Quantum Number (ms)20. As you decrease the wavelength of a light, you increase the _______________ and the

_________________.

Region Wavelength(meters)

Frequency(Hz)

Energy(eV)

Radio > 1.0 x 10-1 < 3 x 109 < 10-5

Microwave 1.0 x 10-1 - 1.0 x 10-4 3 x 109 - 3 x 1012 10-5 - 0.01

Infrared 1.0 x 10-4- 7 x 10-7 3 x 1012 - 4.3 x 1014 0.01 - 2

Visible 7 x 10-7 - 4 x 10-7 4.3 x 1014 - 7.5 x 1014 2 - 3

Ultraviolet 4 x 10-7 - 10-9 7.5 x 1014 - 3 x 1017 3 - 103

X-Rays 10-9 - 10-11 3 x 1017 - 3 x 1019 103 - 105

Gamma Rays < 10-11 > 3 x 1019 > 105

Write out the following equations, and define each equation with their proper units and notation.

1. What are the different ways you can describe the energy of light/photon?2. What is the de Broglie equation?3. What is the work function equation?4. What is the photoelectric equation?5. What is the Heisenberg’s uncertainty principle equation?

Problem Solving

1. What is the energy range (in joules and eV) of photons that have a wavelength of 400 nm to 750 nm? What type of EMR does this range cover?

2. What order, from lowest energy level to highest energy level, are the colours of visible light?

3. About 0.1 eV is required to break a “hydrogen bond” in a protein molecule. Calculate the minimum frequency and maximum wavelength of a photon that can accomplish this.

4. What minimum frequency of light is needed to eject electrons from a metal whose work function is 4.3 x 10-9 J?

5. What is the maximum kinetic energy of electrons ejected from barium (W= 2.48 eV) when illuminated by white light, λ = 400 to 750 nm?

6. Zinc’s work function is 4.31 eV.a. What kind of EMR do we need to liberate an electron from Zinc. b. What is the velocity of a photoelectron that has been liberated from a zinc metal surface by a

photon that has a wavelength of 275 nm?c. What is the EMR of the photon with a wavelength of 275 nm?

7. An electron has a de Broglie wavelength of 5.0 x 10-10 m.a. What is its momentum? b. What is its speed?c. Using Heisenberg’s uncertainty principle, what is the position of this electron?

8. If n = 2, l = 1, ml = 0 and ms = -1/2, what element is this?

9. If n = 5, l = 2, ml = 2 and ms = -1/2, what element is this?