The variation in the pressure of helium gas, measured from its equilibrium value, is given by ΔP = 2.9 × 10−5 cos (6.20x − 3 000t), where x and t have units m and s, and ΔP is measured in N/m2. Determine the wavelength (in m) of the wave.

Respuesta :

aachen

Answer:

The wavelength of this wave is 1.01 meters.

Explanation:

The variation in the pressure of helium gas, measured from its equilibrium value, is given by :

[tex]\Delta P=2.9\times 10^{-5}\ cos(6.2x-3000t)[/tex]..............(1)

The general equation is given by :

[tex]\Delat P=P_o\ cos(kx-\omega t)[/tex]...........(2)

On comparing equation (1) and (2) :

[tex]k=6.2[/tex]

Since, [tex]k=\dfrac{2\pi}{\lambda}[/tex]

[tex]\dfrac{2\pi}{\lambda}=6.2[/tex]

[tex]\lambda=1.01\ m[/tex]

So, the wavelength of this wave is 1.01 meters. Hence, this is the required solution.