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A pair of speakers connected to the same sound system face eachother, one at x =

ID: 1663107 • Letter: A

Question

A pair of speakers connected to the same sound system face eachother, one at x = 0 and the other at x =4.20 m. If they are playing a sound withfrequency 405 Hz, what are the first threepoints of constructive interference between the two speakersstarting from x = 0? (Take the speed of sound as 343 m/s.) points 1st closest to x = 0 1 m 2nd closest to x = 0 2 m 3rd closest to x = 0 3 m points 1st closest to x = 0 1 m 2nd closest to x = 0 2 m 3rd closest to x = 0 3 m points 1st closest to x = 0 1 m 2nd closest to x = 0 2 m 3rd closest to x = 0 3 m

Explanation / Answer

d = 4.20 m, f = 405 Hz, v = 343 m/s, = v/f = 0.847 m (d - x) - x = n x = (d - n)/2 > 0 n
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