Respuesta :
Answer:
D) You wouldn't hear any sound since the waves are canceling each other out.
Explanation:
Suppose two sound waves with same amplitude,frequency and [tex]\phi[/tex] phase difference are given by as follows,
[tex]y_1=A \ sin\ ( wt+ \phi)[/tex]
[tex]y_2=A\ sin\ wt[/tex]
Since waves are out of phase by [tex]= \frac{\lambda}{2}[/tex], phase difference [tex]\phi[/tex] =[tex]\pi[/tex]
hence, resultant displacement
[tex]y=y_1+y_2[/tex] = [tex]A\ sin\ wt + A\ sin\ (wt +\pi )[/tex] = [tex]A\ sin\ wt\ - A\ sin\ wt[/tex] =0
Hence we wouldn't hear any sound since the waves are canceling each other out.