Two in-phase speakers 2.0 m apart in a plane are emitting 1800 Hz sound waves into a room where the speed of sound is 340m/s . Is the point 4.0m in front of one of the speakers, perpendicular to the plane of the speakers, a point of maximum constructive interference, perfect destructive interference, or something in between? pick one of those 3 and say why: 1) This is the point of maximum constructive interference. 2) This is the point of perfect destructive interference.3) This point is something between maximum constructive interference and perfect destructive interference.



Answer :

The point of destructive interference occurs when the result is within an integer value of +0.5.

The resultant distance between the speakers is determined by the preceding parameters:

distance between the speakers, d = 2.0 m,

frequency, f = 1800 Hz,

speed of the sound, v = 340 m/s,

and distance below the speakers, c = 4 m.

L= [tex]\sqrt{4 + 16}[/tex]

L= 4.47 m.

The wavelength of the sound wave is by:

Wavelength (λ)= V /F.

λ=340/1800

λ= .188 m

constructive interference, perfect destructive interference are

x= (4.7-4)/.188

x= 2.5

In what way does wavelength relate to sound?

The higher frequency and the higher pitch are produced by sounds with shorter the wavelengths. So, long waves the sound are low and short waves sound is high.

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