Question

I have trouble understanding the previous posts of the problem. Could a diagram be used to showcase and formulas explained to showcase answer as well. Much will be appreciated for detailed response. Thank you!

A) You attend an open-air concert with a friend on a hot day with an air temperature of 25.3°C, and the arena has two speakers, one on each side of the stage. Suppose you sit in a seat which is 7 meters from one speaker and 9.1 meters from the other, and your friend sits in a seat 7 meters from one speaker and 8.75 meters from the other. If a musician plays a single 494 Hz tone through the speakers, then under ideal conditions, which one of you would hear the tone at its loudest? Which one would not hear it at all? Consider the speakers to be point sources. (15 pts)

Answer 1

frequency f= 49442 Sohiavelength » DEU = 346.23 07m f 494 S, - Sbeakert How position of observer SIP=7m SZP-91 m berre Р Se speakers Now path difference SIP-SIP=21m. 1820-7 which is 3 times of Pg (30) 3) - 3X0.7 20:21 condition of maxima hence you hear foruder Sound. Now popition of your friends- SIP=7m 3 Now path difference S2 P= 8.757 Sa 'p-S, P= 1.75m Condition of destructive interference:- pota difference Odd multiple of 2 means 1252 on ta en to 1.75m 52 = 5x0.7 which is condition of minima ② distructive interference bence your friend will hear no sound. #2 23 24 2

This question 10 baped on Constructive and distanctive niter ference A Constructive interference occurs when there is a path difference of ri i where n=o, zt, 12 and ware lengtei in deforiedas i f. fall st speed of scrund at 25. 3 U = 346:23 mio