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Question

Calculate the speed of longitudinal sound wave in a liquid. The bulk modulus for the liquid is $$20\times10^9 N/m^2$$ and its density is $$9.5\times10^3kg/m^3$$.

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Q1

(a) In a liquid with density 1300 kg/m3, longitudinal waves with frequency 400Hz are found to have wavelength 4m. calculate the bulk modulus of the liquid.
(b) A metal bar with a length of 2m has density 6400 kg/m3. Longitudinal sound waves take 3.90×104s to travel from one end of the bar to the other. What is Young’s modulus for this metal?

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Q2

In a liquid with density 1300 kgm3, longitudinal waves with frequency 400 Hz are found to have wavelength 8.00 m. Calculate the bulk modulus of the liquid.

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Q3

In a liquid with density 1300 kgm3, longitudinal waves with frequency 400 Hz are found to have wavelength 8.00 m. Calculate the bulk modulus of the liquid.

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Q4
In a liquid with density 900kg/m3, longitudinal waves with frequency 250 Hz are found to have wavelength 8.0 m. Calculate the bulk modulus of the liquid. (in 10 to the power of 9 Pascals)
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Q5
Calculate the wavelength of a longitudinal wave vibrating with 400 vibrations/second in a metal of density $$5.5 \times 10^3 \ kg/m^3$$. The Young's modulus of metal is $$Y = 8.8 \times 10^{10} \ N/m^2$$.
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