1. Explain how Quantum Mechanics changes the deterministic view of Nature that existed in Newtonian physics.
2. Consider the electromagnetic spectrum:
Arrange photons of the following types of radiation according to the energy of the individual photons. From highest to lowest energy: infrared, blue light, yellow light, ultraviolet, γ rays, AM radio waves, X-rays, microwaves.
3. Suppose that you were doing the Young double-slit experiment, and that you could decrease the intensity of the light greatly (so much that individual photons were impacting the screen). What would you see and why?
4. Suppose that a green light beam has a controllable intensity (i.e., it can be made more of less bright). As you increase the intensity (i.e., the number of photons in the beam), do the energies of the photons of green light increase, decrease, or stay the same? Explain
5. Suppose that a proton and an electron have both the same speed of 1X106 m/s. What are their respective deBroglie wavelengths?
6. What is the deBroglie wavelength of a 2 kg bowling ball moving with a speed of 4.5 m/s?
Discuss whether you would expect to be able to observe diffraction phenomena for the bowling ball.
7. What is the energy of a photon of wavelength 400 nanometers?
And that of a photon of wavelength 700 nanometers? (These correspond to violet and red light, respectively).
8. An electron has a speed v. Another electron has speed (1/3)v. What is the ratio of the deBroglie wavelengths of these two electrons?
9. What would happen with the quantization of energy if we were able to change, at will, Planck's constant and make it 0?
10. If Planck's constant, h, were smaller than it is, how would the uncertainty principle be affected? What if h were zero?
11. An electron has an uncertainty in its velocity of 0.1 m/s. The mass of the electron is 9.1x10-31 kg. Calculate the uncertainty in its momentum. Using this result, calculate what the minimum uncertainty in the position of this electron must be in order to obey the Heisenberg Uncertainty principle.
12. Now consider a proton with an uncertainty in its velocity of 0.1 m/s. The mass of the proton is 1.7x10-27 kg. Calculate the uncertainty in its momentum. Using this result, calculate what the minimum uncertainty in the position of this proton must be in order to obey the Heisenberg Uncertainty principle.
Compare the results of problems 11 and 12: can you arrive at some general conclusion?
13. Among the 10 quantum jumps between the five energy levels of hydrogen shown in Figure 13.21, which one produces the photon with the lowest frequency?
14. Among the 10 quantum jumps shown in the figure, which produces a photon with the highest frequency?
15. The energy difference
E2-E1 is 16x10-19 J. Determine the frequency of the photon emitted in the transition from state 2 to state 1. Determine the wavelength of the photon. Determine to which region of the electromagnetic radiation spectrum does this photon belong to.
