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Chapter 39: Q.18 (page 1137)
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So the length of the pulse will be
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A pulse of light is created by the superposition of many waves that span the frequency range , wherc is called thc center frequency of thc pulsc. Lascr technology can generate a pulse of light that has a wavelength of and lasts a mere fs femtosecond localid="1650804865678" .
a. What is the center frequency of this pulse of light?
b. How many cycles, or oscillations, of the light wave are completed during the fs pulse?
c. What range of frequencies must be superimposed to create this pulse?
d. What is the spatial length of the laser pulse as it travels through space?
e. Draw a snapshot graph of this wave packet.
a. Starting with the expression for a wave packet, find an expression for the product for a photon.
b. Interpret your expression. What does it tell you?
c. The Bohr model of atomic quantization says that an atom in an excited state can jump to a lower-energy state by emitting a photon. The Bohr model says nothing about how long this process takes. You'll learn in Chapter 41 that the time any particular atom spends in the excited state before cmitting a photon is unprcdictablc, but the average lifetime of many atoms can be determined. You can think of as being the uncertainty in your knowledge of how long the atom spends in the excited state. A typical value is ns. Consider an atom that emits a photon with a wavelength as it jumps down from an excited state. What is the uncertainty in the energy of the photon? Give your answer in eV.
d. What is the fractional uncertainty in the photon's energy?
Consider a single-slit diffraction experiment using electrons. Using Figure 39.5 as a model, draw
a. A dot picture showing the arrival positions of the first or electrons.
b. A graph of for the electrons on the detection screen.
c. A graph of for the electrons. Keep in mind that , as a wave-like function, oscillates between positive and negative.
1.0x 1010 photons pass through an experimental apparatus. How many of them land in a 0.10-mm-wide strip where the probability density is 20 m-1?
What is the value of the constant a in FIGURE Q39.5?
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