Chapter 3: Problem 1
The backslash is itself a meta-character. Suppose that you want to match a string that contains a backslash character. How do you suppose you would represent the backslash in the regular expression?
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Chapter 3: Problem 1
The backslash is itself a meta-character. Suppose that you want to match a string that contains a backslash character. How do you suppose you would represent the backslash in the regular expression?
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A function \(f(\alpha)\) is nonzero only in the region of width \(2 \delta\) centered at \(\alpha=0\) $$ f(\alpha)=\left\\{\begin{array}{ll} C & |\alpha| \leq \delta \\ 0 & |\alpha|>\delta \end{array}\right. $$ where \(C\) is a constant. (a) Find and plot versus \(\beta\) the Fourier transform \(A(\beta)\) of this function. (b) The function \(f \alpha\) ) might represent a pulse occupying either finite distance \((\alpha=\) position) or finite time \((\alpha\) = time). Comment on the wave number spectrum if \(\alpha\) is position and on the frequency spectrum if \(\alpha\) is time. Specifically address the dependence of the width of the spectrum on \(\delta\).
A photon has the same momentum as an electron moving at \(10^{6} \mathrm{~m} / \mathrm{s}\). (a) Determine the photon's wavelength \(\mathrm{N}\). (b) What is the ratio of the kinetic energies of the two?
The average intensity of an electromagnetic wave is \(\frac{1}{2} s_{0} c E_{0}^{2}\). where \(E_{0}\) is the amplitude of the electric-field portion of the wave. Find a general expression for the photon flux \(j\) (measured in photons/s \(-m^{2}\) ) in terms of \(E_{0}\) and wavelength \(\lambda .\)
At what wavelength does the human body emit the maximum electromagnetic radiation? Use Wien's law from Exercise 14 and assume a skin temperature of \(70^{\circ} \mathrm{F}\).
Show that the laws of momentum and enargy corservadion forbid the complete absorprion of a photon by a free electron. (Note: This is not the photoelectric effect In the pholoelectric effect, the electron is not free: the metal participates in momentum and eoergy onservation.)
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