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AT&T; 11:11 PM session. masteringphysics.com C Problem 12.30 MasteringPhysics 20

ID: 1795603 • Letter: A

Question

AT&T; 11:11 PM session. masteringphysics.com C Problem 12.30 MasteringPhysics 20 of 29 Problem 12.30 Two small speakers A and B are driven in step at 725 Hz by the same audio oscillator. These speakers both start out 4.50 m from the listener, but speaker A is slowly moved away. (See the figure Q Tap image to zoom . The speed of sound in air is 344 m/s Part A At what distance d will the sound from the speakers first produce destructive interference at the location of the listener? Express your answer in meters to three significant figures. Submit Give Up

Explanation / Answer

If path difference is multiple of wavelength/2 ,it will be constructive interference .

Wavelength=x=344/725=0.474

First destructive intereference=4.5+d-4.5=0.474/2

d=0.237 m

Part B

Next time

d=1.5*x=0.712m

First interference

d=0.474m