Answer: The correct answer is 1.29 m/s.
Explanation:
The expression for the velocity of the wave is as follows;
[tex]v=f\lambda[/tex]
Here, f is the frequency of the wave, v is the velocity of the wave and [tex]\lambda[/tex] is the wavelength of the wave.
It is given in the problem that a sound wave in the air has a frequency of 256 hertz and is traveling at a speed of 331 meters/second.
Calculate the wavelength of the wave by rearranging the above expression.
Put v= 331 m/s and f= 256 Hz by rearranging the above expression.
[tex]\lambda =\frac{331}{256}[/tex]
[tex]\lambda =1.29 m[/tex]
Therefore, the wavelength of the wave is 1.29.
