The velocity of the wave with the given wavelength and frequency is 340m/s.
Given the data in the question;
- Wavelength; [tex]\lambda = 2m[/tex]
- Frequency; [tex]f = 170Hz = 170 s^{-1}[/tex]
Velocity; [tex]v =\ ?[/tex]
To determine the velocity of the wave, we use the expression for the relations between wavelength, frequency and speed.
[tex]\lambda = \frac{v}{f}[/tex]
Where [tex]\lambda[/tex] is wavelength, f is frequency and v is speed.
We substitute our given values into the equation
[tex]2m = \frac{v}{170s^{-1}}\\\\v = 2m * 170s^{-1}\\\\v = 340m/s[/tex]
Therefore, the velocity of the wave with the given wavelength and frequency is 340m/s.
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