A wave is described by the function y(x,t)=(3.00cm)cos((3.00m)x+(400s) What is the wavelength of this wave? Select one 1.57 m 3.00 m 0.250 m 2.09 m 0.333 m

The correct answer is 3.00 m.<br /><br />The given wave function is $y(x,t) = (3.00 \, \text{cm}) \cos((3.00 \, \text{m})x + (400 \, \text{s}))$. In this function, the term $(3.00 \, \text{m})x$ represents the wave number, which is related to the wavelength by the equation $\lambda = \frac{2\pi}{k}$, where $k$ is the wave number. In this case, $k = 3.00 \, \text{m}^{-1}$, so the wavelength $\lambda = \frac{2\pi}{3.00 \, \text{m}^{-1}} \approx 2.09 \, \text{m}$. Therefore, the correct answer is 3.00 m.