Answer:
Wavelength, [tex]\lambda=1.4\ m[/tex]
Explanation:
Given that,
The fundamental frequency of the B key on a piano, f = 242 Hz
The speed of sound in air, v = 340 m/s
To find,
The corresponding wavelength of the sound waves.
Solution,
Let [tex]\lambda[/tex] is the wavelength of the sound waves. We know that the speed of sound is equal to the product of frequency and wavelength. Its expression is given by :
[tex]v=f\times \lambda[/tex]
[tex]\lambda=\dfrac{v}{f}[/tex]
[tex]\lambda=\dfrac{340\ m/s}{242\ Hz}[/tex]
[tex]\lambda=1.4\ m[/tex]
So, the corresponding wavelength of the sound wave is 1.4 meters.
