The longest pipe found in most medium size pipe organs is 4.88 (16 ft) long. What is the frequency of the note corresponding to the fundamental mode if the pipe is open at one end and closed at the other?

A) 17.6 Hz

B) 14.3 Hz

C) 19.8 Hz

D) 25.1 Hz

Respuesta :

Answer:

option A

Explanation:

given,

length of the longest pipe = L = 4.88 m

speed of sound = 344 m/s

pipe is open at one end and closed at the other

frequency = ?

frequency of standing wave for the pipe opened at the one end and closed at the other.

[tex]f = n \dfrac{v}{4L}[/tex]

v = velocity of wave

n = nth harmonic  n = 1

L is the length of pipe

f is frequency

[tex]f =1 \times \dfrac{344}{4\times 4.88}[/tex]

[tex]f =17.63\ Hz[/tex]

Hence, the correct answer is option A

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