Answer :
Answer:
The third lowest frequency is 1489.27 Hz.
Explanation:
Given that,
Distance of person from one speaker= 4.50 m
Distance of person from the other = 3.80 m
The longest wavelength is the shortest frequency.
We need to calculate the difference between the speakers
The difference between the speakers d= 4.50-3.80 =0.7 m
We know that,
The longest wavelength is such that one wavelength
[tex]\lambda = d[/tex]
So, The third longest wavelength is
[tex]3\lambda=d[/tex]
Put the value of d
[tex]\lambda=\dfrac{0.7}{3}[/tex]
[tex]\lambda=0.233\ m[/tex]
We need to calculate the lowest frequency
Using formula of frequency
[tex]f=\dfrac{v}{\lambda}[/tex]
[tex]f=\dfrac{347}{0.233}[/tex]
[tex]f=1489.27\ Hz[/tex]
Hence, The third lowest frequency is 1489.27 Hz.