Answer:
the minimum distance between two speakers that produce sounds that arrive at noticeably different times is [tex]0.34meters[/tex]
Explanation:
Time: Δt=1.00ms, Δt=1.00*[tex]10^{-3} m[/tex], Δt[tex]=0.001s[/tex]
Speed: [tex]v=340m/s[/tex]
Distance between two speakers: d is unknown
Now to find the minimum distance between two speakers:
velocity is the rate of change of distance with time.
[tex]velocity=\frac{distance }{time}[/tex]
make d the subject of the formula.
[tex]distance =velocity *time[/tex]
substitute the values
[tex]distance =(340m/s)*(0.001s)\\distance =0.34m[/tex]
so the minimum distance between two speakers that produce sounds that arrive at noticeably different times is [tex]0.34meters[/tex]
