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Chapter 4: Q63E (page 138)
A 1 fs pulse of laser light would be long. What is the range of wavelengths in a 0.3Imlong pulse of (approximately)600nmlaser light?
The range of wavelength=95.5nm
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A brag diffraction experiment is conducted using a beam of electrons accelerated through apotential difference. (a) If the spacing between atomic planes in the crystal is, at what angles with respect to the planes will diffraction maximum be observed? (b) If a beam of-rays products diffraction maxima at the same angles as the electron beam, what is the-ray photon energy?
The position of a neutron in a nucleus is known within an uncertainty of -5x10-13 m. At what speeds might we expect to find it moving?
In Section 4.3, it is shown thatsatisfies the free-particle Schr枚dinger equation for alland, provided only that the constants are related by. Show that when the function,is plugged into the Schrodinger equation, the result cannot possibly hold for all values of x and t, no matter how the constants may be related.
Question: An electron beam strikes a barrier with a single narrow slit, and the electron flux number of electrons per unit time per unit area detected at the very center of the resulting intensity pattern is . Next, two more identical slits are opened, equidistant on either side of the first and equally 鈥渋lluminated鈥� by the beam. What will be the flux at the very center now? Does your answer imply that more than three times as many electrons pass through three slits than through one? Why or why not?
Equation (4-21) expresses a function as a sum of plane waves, each with a coefficient . Equation (4-22) finds the coefficients from the given function . The equations aren't independent statements; in fact, one is the inverse of the other. Equation (4-22) giveswhen is known, and (4-21) does the reverse. Example 4.7calculates from a specific. Show that when this is inserted into (4-21) , the original is returned. Use the Euler formula and the symmetry properties of odd and even functions to simplify your work.
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