The speed of the wave with the given frequency and wavelength is 1.2m/s.
Given the data in the question;
- Wavelength of the wave; [tex]\lambda = 0.4m[/tex]
- Frequency; [tex]f = 3Hz = 3s^{-1}[/tex]
- Speed of the wave; [tex]v = \ ?[/tex]
Wavelength
Wavelength is the distance over which the shapes of waves are repeated. It is the spatial period of a periodic wave.
It is expressed as;
[tex]\lambda = \frac{v}{f}[/tex]
Where v is velocity/speed and f is frequency.
Now, we can easily get the speed of the wave by substituting our given values into the expression above.
[tex]\lambda = \frac{v}{f} \\\\0.4m = \frac{v}{3s^{-1}}\\ \\v = 0.4m * 3s^{-1}\\\\v = 1.2ms^{-1}\\\\v = 1.2m/s[/tex]
Therefore, the speed of the wave with the given frequency and wavelength is 1.2m/s.
Learn more about Speed, Frequency and Wavelength here: brainly.com/question/27120701
