Question

this stationary wave is what we call the first harmonic of the first normal mode of the system. in units of l, the length of the wire, what is λ1, the wavelength of the first harmonic?

Answer 1

First harmonic of a closed pipe is determined as velocity, v, to four times length (4L), F₀ v/4L.

First harmonic of a closed pipe

The first harmonic of a closed pipe is the fundamental frequency of the closed of the closed pipe.

L = λ/4

where;

• L is the length of the pipe
• λ is the wavelength of sound

λ = 4L

But, v = F₀λ

v = F₀(4L)

F₀ = v/4L

where;

• F₀ is the first harmonic
• v is speed of sound

Thus, first harmonic of a closed pipe is determined as velocity, v, to four times length (4L), F₀ v/4L.

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