The wavelength of the first overtone of a note in a closed pipe of length 33 cm is?
Question
The wavelength of the first overtone of a note in a closed pipe of length 33 cm is?
Solution
Sure, here's how to calculate the wavelength of the first overtone in a closed pipe:
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First, it's important to understand that in a closed pipe, the first overtone is the third harmonic. This means that the pipe length is 1/4 of the wavelength of the fundamental frequency, and 3/4 of the wavelength of the first overtone.
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Given that the length of the pipe is 33 cm, we can set up the following equation to solve for the wavelength (λ) of the first overtone:
L = 3/4 λ
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Plugging in the given length (L) into the equation gives us:
33 cm = 3/4 λ
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To solve for λ, we can multiply both sides of the equation by 4/3:
λ = (4/3) * 33 cm
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This gives us λ = 44 cm.
So, the wavelength of the first overtone of a note in a closed pipe of length 33 cm is 44 cm.
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