P18_037 - v is the speed of sound. The speed of sound is...

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37. The top of the water is a displacement node and the top of the well is a displacement antinode. At the lowest resonant frequency exactly one-fourth of a wavelength Fts into the depth of the well. If d is the depth and λ is the wavelength then λ =4 d . The frequency is f = v/λ = v/ 4 d ,where
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Unformatted text preview: v is the speed of sound. The speed of sound is given by v = p B/ , where B is the bulk modulus and is the density of air in the well. Thus f = (1 / 4 d ) p B/ and d = 1 4 f s B = 1 4(7 . 00 Hz) s 1 . 33 10 5 Pa 1 . 10 kg / m 3 = 12 . 4 m ....
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