contestada

Two air columns, one open at both ends (A) and one closed at one end (B) have the same fundamental frequency. If the length of column A is 0.74 m, determine the length of column B.

Respuesta :

Answer:

0.37 m

Explanation:

The fundamental frequency of an open tube or pipe is

[tex]f_0 = \dfrac{v}{2l}[/tex]

where v is the velocity of sound and l is the length of the column.

For a closed pipe,

[tex]f_0 = \dfrac{v}{4l}[/tex]

For column A,

[tex]f_0 = \dfrac{v}{2\times0.74\text{ m}} = \dfrac{v}{1.48\text{ m}}[/tex]

For column B,

[tex]\dfrac{v}{1.48\text{ m}} = \dfrac{v}{4l}[/tex]

[tex]4l = 1.48\text{ m}[/tex]

[tex]l = 0.37\text{ m}[/tex]