Answer :
Answer:
Explanation:
Given
Two speaker with frequency of [tex]f=441\ Hz[/tex]
Listener is standing in front of them
For destructive interference of sound waves i.e. when two waves with opposite signs of amplitude combines give destructive interference
for destructive interference path length difference is
[tex]\Delta =|d_1-d_2|=(m+\frac{1}{2})\lambda [/tex]
where [tex]\lambda =wavelength[/tex]
for [tex]m=0[/tex]
[tex]\Delta =\frac{\lambda }{2}[/tex]
[tex]velocity=frequency\times wavelength[/tex]
[tex]\lambda =\frac{v}{\nu }[/tex]
[tex]\lambda =\frac{341}{441}=0.773\ m[/tex]
Smallest separation is [tex]\frac{\lambda }{2}=0.38\ m[/tex]