91Ó°ÊÓ

The wavenumber of the wave = k= 1.5 rad/m

The wave speed of the wave = v = 200 m/s

The wavelength of a wave is defined as the ratio of times the inverse of the wavenumber.

The frequency for a periodic wave is the ratio of the wave speed and the wavelength.

The formula to calculate the wavelength of the wave is given by

$\mathrm{λ}=\frac{2\mathrm{π}}{k}$

Substitute 1.5 rad/m for k into the above formula to calculate the wavelength.

localid="1649763450847" $$\begin{gathered} \mathrm{λ}=\frac{2\mathrm{π}}{1.5rad/m} \\ =4.187m \end{gathered}$$

Therefore, the wavelength of the wave is 4.187 m.

The frequency of the wave is defined as the number of complete waves that passes at a certain point in unit time.

The formula to calculate the frequency of the wave in terms of wave speed is given by

$f=\frac{v}{\mathrm{λ}}$

Substitute 200 m/s for v and 4.187 m for $\mathrm{λ}$to calculate the frequency.

$$\begin{gathered} f=\frac{200m/s}{4.187m} \\ =47.8Hz \end{gathered}$$

Therefore, the frequency of the wave is 47.8 Hz.