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# HW3 - calculate the intensity intensity level pressure...

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Physics 214 Summer 1993 This week's lab: Experiment #4 (Microwaves) Assignment #3 (due Friday, July 9) 1. The wavefunction of a spherical wave has the form y(r,t) = (A/r) sin (kr - wt + q), where A is a constant and r is the distance from the source. (a) Using this wavefunction, verify that the intensity of a spherical wave decreases with distance as 1/r 2 . ( i.e. Tipler eq. 14-19) (b) Show that y(r,t) satisfies the 3-dimensional wave equation. (Use the identity given in class.) 2. A loudspeaker receives 8.0 W of electrical power from an audio amplifier and converts 3.0% of this power into sound waves. Assuming that the loudspeaker radiates the sound uniformly over a hemisphere (a vertical and horizontal angular spread of 180º),

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Unformatted text preview: calculate the intensity, intensity level, pressure amplitude, and displacement amplitude at distances of 5.0 m and 10.0 m from the speaker. Also calculate the ratio of the amplitude at 5 m to that at 10 m. 3. 14-74. 4. Calculate the Fourier coefficients of the square wave of Fig. 14-23. For coefficients that are zero, explain (by referring to the shape of the square wave) why they must be zero. Compare your results to Fig. 14-24. 5. The phase velocity of deep-water waves is v ph = (gl/2p) 1/2 . Calculate the group velocity of a deep-water wave pulse with predominant wavelength l. Comment on the relationship between the two velocities. 6. 14-35. 7. 14-62....
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