What are the amplitude, frequency, and wavelength of the wave in the given figure?

From the given graph:

The wave is periodic.

The time period is given as T=0.6s

The velocity of the wave is given as v= 2m/s.

A history graph shows the wave’s displacement as a function of time at a single point in space.

Amplitude is defined as the maximum displacement from its equilibrium position.

From the graph , the amplitude(A) is 6cm

$A=6cm$

Frequency is defined as the number of complete waves in unit second.

It is the inverse of time period.

$T=\frac{1}{f}$

Substitute 0.6 s for T to calculate f.

$$\begin{gathered} f=\frac{1}{0.6s} \\ =1.67Hz \end{gathered}$$

Therefore, the frequency of the wave is 1.67 Hz.

The distance between consecutive crests or troughs of an wave is called as the wavelength.

The formula to calculate the wavelength in terms of velocity in a periodic wave is given as

$\lambda =\frac{v}{f}$

Substitute 2 m/s for v and 1.67 Hz for f to calculate the wavelength.

$$\begin{gathered} \lambda =\frac{2m/s}{1.67Hz} \\ =1.2m \end{gathered}$$

Therefore, the wavelength is 1.2 m.