Answer:
The possible range of wavelengths in air produced by the instrument is 7.62 m and 0.914 m respectively.
Explanation:
Given that,
The notes produced by a tuba range in frequency from approximately 45 Hz to 375 Hz.
The speed of sound in air is 343 m/s.
To find,
The wavelength range for the corresponding frequency.
Solution,
The speed of sound is given by the following relation as :
[tex]v=f_1\lambda_1[/tex]
Wavelength for f = 45 Hz is,
[tex]\lambda_1=\dfrac{v}{f_1}[/tex]
[tex]\lambda_1=\dfrac{343}{45}=7.62\ m[/tex]
Wavelength for f = 375 Hz is,
[tex]\lambda_2=\dfrac{v}{f_2}[/tex]
[tex]\lambda_2=\dfrac{343}{375}=0.914\ m/s[/tex]
So, the possible range of wavelengths in air produced by the instrument is 7.62 m and 0.914 m respectively.
