WaveNotes

# WaveNotes - Physics 21 Fall 2004 Mechanical Waves Homework...

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Physics 21 Fall, 2004 Mechanical Waves Homework assignment HW-19 (due Thursday, October 28) is to work the problems given below. The problems cover the material on mechanical waves presented in the attached notes. Problem 1. A wave on a string travels at 5 m/s to- ward the right (labeled the positive x direction). The transverse displacement of the string at a point arbi- trarily labeled x = 0 is observed to be y 0 ( t )=0 . 03 e 0 . 6 t cos(50 t ) , where t is in seconds and y is in meters. (a) What is the mathematical expression for the traveling wave on the string as a function of x and t ? (b) Answer part (a) for a wave moving toward the left rather than toward the right. Problem 2. What is the frequency of yellow light with a wavelength of 5 . 9 × 10 7 m in empty space? Problem 3. The mathematical expression for a trav- eling wave on a string is given by y ( x, t )=0 . 03 sin(40 πt +8 πx ) where x and y are in meters, t is in seconds, and x 0. (a) In what direction does the wave propagate? (b)

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WaveNotes - Physics 21 Fall 2004 Mechanical Waves Homework...

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