HW #2 Interference & Diffraction Due Feb 5 2019.doc - Physics 2213a Modern Physics Problem Set#2 Professor Rick Trebino Interference and Diffraction

HW #2 Interference & Diffraction Due Feb 5 2019.doc -...

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Physics 2213a, Modern PhysicsProfessor Rick Trebino Problem Set #2Interference and Diffraction1.I have very bad acoustics in my gym, where I have a sound system. To model my gym’s sound system, imagine that the gym is 4m wide in, say, the x direction. Ignore the y- and z-directions, approximate the gym as an essentially empty room, and assume that the walls are perfectly flat and reflect sound perfectly, as a laser mirror does with light (an acousticalworst-case scenario!).Compute the longest sound wavelength that can occur in the room and itsfrequency (recall that the speed of sound is 350m/s). Write down expres-sions for all the wavelengths and frequencies that can occur in the room. Now imagine that you’re standing with your head precisely at the center of the room. Notice that you’re at a “node” for some frequencies and so won’t be able to hear them. Which frequencies are those? If you’ve everbeen in a theater with poor acoustics, where your friends beside you
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