Instructions: Read the passage discussing waves with varying wavelengths, frequencies, and amplitudes.

A student is curious about the reasons behind the differences in volume and pitch among sounds. To explore this, he embarks on research to uncover the wave properties responsible for these variations.

Initially, he grasps that a wave constitutes a recurring pattern characterized by specific wavelength, frequency, and amplitude. The amplitude of a wave represents the maximum distance above or below the equilibrium point. The energy of a wave is determined by squaring its amplitude. Frequency denotes how often the wave pattern repeats, and the energy transferred by the wave is proportional to its frequency. For instance, in sound waves, the amplitude correlates with loudness, while frequency correlates with pitch.

During his investigation, the student encounters graphs that aid his comprehension of how wave properties influence their energy.

Graph 1 depicts the amplitudes (measured in meters) of three waves (labeled wave 1, 2, and 3) as they travel through a medium over time (measured in seconds).

Graph 2 displays an alternative set of three waves (labeled as wave X, Y, and Z) traversing through a medium.



Which option organizes the waves presented in Graph 1 in ascending order of energy?

(1 point)
Responses

wave 2, wave 3, wave 1
wave 2, wave 3, wave 1

wave 3, wave 2, wave 1
wave 3, wave 2, wave 1

wave 1, wave 3, wave 2
wave 1, wave 3, wave 2

wave 1, wave 2, wave 3

1 answer

To determine the ascending order of energy for the waves in Graph 1 based on their amplitudes, we need to recall that the energy of a wave is proportional to the square of its amplitude. Thus, the wave with the smallest amplitude will have the least energy, and the wave with the largest amplitude will have the most energy.

  1. Assess the amplitude of each wave (wave 1, wave 2, wave 3) from the graph.
  2. Square the amplitude values to evaluate their energies.
  3. Organize the waves in ascending order based on their energy values derived from their amplitudes.

Since I do not have access to the specific values or visual details of the graph, I cannot definitively state the order. However, if you analyze the amplitudes represented in Graph 1, you will be able to identify the correct ascending order of energy based on which wave has the smallest to largest amplitude.

Please review the amplitudes of wave 1, wave 2, and wave 3 in the graph, and select the corresponding option based on your analysis.