The drawing shows a transverse waves displacement vs distance graph. The wave is traveling at a speed of 2.50 m/s. Determine a) the wavelength, b)the frequency of the wave, c) the amplitude of the wave The image depicts a graph of a sinusoidal wave. The horizontal and vertical axes are both labeled in meters (m).**Graph Details:**- **Horizontal Axis (x-axis):** - The scale is marked from -3 to 3 meters. - **Vertical Axis (y-axis):** - The scale is marked from 0 to 6 meters.**Wave Characteristics:**- The wave oscillates around the vertical axis, showing periodic crests and troughs.- The wave completes approximately two full cycles along the vertical axis from 0 to 6 meters.- Each cycle has an approximately equal amplitude and wavelength, representing uniform oscillations.This graph can be used to study wave properties such as amplitude, wavelength, frequency, and phase. Understanding this sinusoidal wave helps in applications across physics and engineering, particularly in analyzing sound waves, light waves, and alternating current circuits.

Given: The traveling speed of the wave is 2.50 m/s. Introduction: The distance between two consecutive crests of the wave is called the wavelength of the transverse wave. The maximum displacement from the mean position of the wave is called the amplitude of the wave. Explanation: (a) Calculate the wavelength from the given diagram. The distance between two consecutive crests of the wave is 2 m. Thus, the wavelength of the wave is 2 m.(b) Write the expression for the frequency of the wave. f=vλ Here, f is the frequency, v is the velocity and λ is the wavelength of the wave. Substitute, 2 m for λ and 2.50 m/s for v in the above expression. f=2.50 m/s2 mf=1.25 Hz Thus, the frequency of the wave is 1.25 Hz. (c) Calculate the amplitude of the wave. The maximum displacement of the wave from the equilibrium position is 3 m. Thus, the amplitude of the wave is 3 m.