When sound travels through the ocean, where the bulk modulus is 2.34 x 10^9 N/m^2, the wavelength associated with 1000.0 Hz waves is 1.51 m. 1) Calculate the density of seawater. (Express your answer to three significant figures.)

Respuesta :

Answer:

1.03×10³ kg/m³

Explanation:

β = Bulk modulus = 2.34×10⁹ N/m²

f = Frequency = 1000 Hz

λ = Wavelength = 1.51 m

ρ = Density

Speed of the wave

v = fλ

⇒v = 1000×1.51

⇒v = 1510 m/s

Speed of sound

[tex]v=\sqrt{\frac{\beta}{\rho}}\\\Rightarrow \rho=\frac{\beta}{v^2}\\\Rightarrow \rho=\frac{2.34\times 10^9}{1510^2}\\\Rightarrow v=1026.27\ kg/m^3[/tex]

Density of seawater is 1.03×10³ kg/m³ or 1.03 g/cm³ (rounding)