In a liquid with a density of 1350 k g / m 3 , longitudinal waves with a frequen

Question

In a liquid with a density of 1350kg/m3 , longitudinal waves with a frequency of 430Hz are found to have a wavelength of 7.60m . Calculate the bulk modulus of the liquid.
In a liquid with a density of 1350kg/m3 , longitudinal waves with a frequency of 430Hz are found to have a wavelength of 7.60m . Calculate the bulk modulus of the liquid.
In a liquid with a density of 1350kg/m3 , longitudinal waves with a frequency of 430Hz are found to have a wavelength of 7.60m . Calculate the bulk modulus of the liquid.

Explanation / Answer

Ans:-

The Bulk Modulus is a material property characterizing the compressibility of a fluid - how easy a unit volume of a fluid can be changed when changing the pressure working upon it.

given:- Density (D) = 1350 kg/m3

frequency (f) = 430 Hz

Wavelength (w) = 7.60m

Bulk modulus of the liquid (B) = ?

Using the formula:-

v = sqrt (B/D) ; v =f*w

=> f*w = sqrt (B/D)

=> 430 Hz * 7.60m = sqrt (B/1350 kg/m3)

=> B = (430 Hz * 7.60m )2 / 1350 kg/m3

=> B = (3268)2 * 1350

=> B = 10679824 *1350

=> B = 144 * 108 N/ m2

Bulk modulus of the liquid (B) = 144 * 108 N/ m2

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