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The range of human hearing is roughly from twenty hertz to twentykilohertz. Based on these limits and a value of 305 m/s for the speed of sound, what are thelengths of the longest and shortest pipes (open at both ends andproducing sound at their fundamental frequencies) that you expectto find in a pipe organ?
1 ___________m (shortest pipe)
2 __________m (longest pipe)

Respuesta :

Answer:

1.[tex]L_s=0.0076\ m[/tex]

2.[tex]L_l=7.62\ m[/tex]

Explanation:

Given that

f₁= 20 Hz

f₂= 20 KHz

C= 305 m/s

For open pie organ :

[tex]L=\dfrac{C}{2f}[/tex]

Shortest length :

[tex]L_s=\dfrac{C}{2f_2}[/tex]

[tex]L_s=\dfrac{305}{2\times 20000}[/tex]

[tex]L_s=0.0076\ m[/tex]

Longest length :

[tex]L_l=\dfrac{C}{2f_1}[/tex]

[tex]L_l=\dfrac{305}{2\times 20}[/tex]

[tex]L_l=7.62\ m[/tex]

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