1. Let a and b be any two vectors that commute with = îôx + joy + kô₂. Show that (*.a)(ở b)=(a-b)l+iô. (āxb).
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- 9. T/F a. Perfect absorbers of electromagnetic radiation are also perfect emitters. b. At any instant in time, it is possible to specify simultaneously the position and the momentum of a particle to arbitrarily high precision. C. The ground state is the lowest energy level in an atom. d. Certain types of sunglasses are very effective at diminishing light reflected from surfaces because of polarization. e. A light ray bends when it goes from one medium to another because of diffraction.200 5 Wave Packets 6 The Heisenberg Uncertainty Principle 11. Approximately what range of frequencies must be superimposed to create this wave packet? 12. A telecommunication system uses pulses with a duration of 5 ns. a. About how many such pulses can be transmitted per second? b. What is the minimum bandwidth needed to transmit these pulses? 13. Wave packets are shown for particles 1, 2, and 3. MA ^^^^^ M. Particle 1 AMA Particle 2 $(1) Which particle can have its velocity known most precisely? Explain. 1 ps Hollo Aff Particle 31. It's a quantum mechanics problem.
- 3. In the Bohr model of a hydrogen atom, electron revolving in the second excited state. If the electron drops into ground state, calculate: photons. b- The angular momentum of the electron in the second excited a-The wavelength of the emitted state. c- The minimum possible lifetime.9B. a) Do particles of matter have wave properties? b). Who was the first physicist to give a convincing answer to the question? c). As the speed of a particle increases, does its associated wavelength increase or decrease? Your answer1. An electron initially moves in first excited state, if it absorb energy with frequency 5x10te Hz. Find the momentum of this electron before and after interaction with photon energy.
- B69. Which of the following describes the transition of an electron from an excited state to the ground state? A. An absorption of energy B. An emission of energy C. No change in energynains nstan 5. A photon of wavelength A has energy E. If its wavelength were doubled, its energy would be A. 4E. В. 2Е. C. ĮE. D. E.
- Q2. Hydrogen atom Lets have a non-relativistic description of the hydrogen atom using pointlike electron and nucleus without any spin. a. What are the quantum numbers and their range of values of the energy levels? Which energy levels are degenerate?124. For a 1-kg ball in a l-m² square two-dimensional box (i.e., L = 1 m), what is the lowest quantum energy allowed? If the ball had this kinetic energy, how long would it take to travel from one side of the box to the other? Is this time something that you think you could measure?2. I have a question about the wave theory of light and quantum theory. ●My understanding so far, light has wave and particle properties at the same time. Here is my question Wave theory and quantum theory appear. Does wave theory apply to electromagnetic waves and quantum theory to particle waves? ●Since electromagnetic waves are light, they are made up of photons. So, in the photoelectric effect, it is said that this electromagnetic wave takes on a flow of particles. Does this have anything to do with the role photons play?