Two identical loudspeakers separated by distance d emit 170 Hz sound waves along the x-axis. As you walk along the axis, away from the speakers, you don't hear anything even though both speakers are on. What are three possible values for d? Assume a sound speed of 340 m/s.

Question

Two identical loudspeakers separated by distance d emit 170 Hz sound waves along the x-axis. As you walk along the axis, away from the speakers, you don&#039;t hear anything even though both speakers are on. What are three possible values for d? Assume a sound speed of 340 m/s.

Kaeden Bishop · Accepted Answer

The wavelength of the wave:  λ  =      v    f    =      340    170    =  2  mThe destructive interference condition is:  △  d  =  (  m  +      1    2    )  λ where m=0,1,2,3,...For the minimum destructive interference, the value of m is equal to zero:  △  d  =  (  0  +      1    2    )  ×  2  =  1  mFor m=1:  △  d  =  (  1  +      1    2    )  ×  2  =  3  mFor m=2:  △  d  =  (  2  +      1    2    )  ×  2  =  5  mResult:1m, 3m, 5m

Two identical loudspeakers separated by distance d emit 170 Hz sound waves along the x-axis. As you walk along the axis, away from the speakers, you don't hear anything even though both speakers are on. What are three possible values for d? Assume a sound speed of 340 m/s.

Open question

Answer & Explanation

New Questions in Wave motion