Answer:
8.40 m/s
Explanation:
Slope of the plot is 0.119
Slope of a plot is given by the change in y direction divided by the change in x direction
Here, the y axis represents inverse wavelength and the x axis represents frequency.
f = Frequency (Hz, assumed)
v = Phase velocity (m/s, assumed)
λ = Wavelength (m, assumed)
So, slope
[tex]m=\frac{\frac{1}{\lambda}}{f}[/tex]
Now,
[tex]\lambda=\frac{v}{f}\\\Rightarrow \lambda^{-1}=\frac{f}{v}[/tex]
[tex]\\\Rightarrow m=\frac{\frac{f}{v}}{f}\\\Rightarrow 0.119=\frac{1}{v}\\\Rightarrow v=\frac{1}{0.119}\\\Rightarrow v=8.40\ m/s[/tex]
The speed of sound travelling in the tube is 8.40 m/s
