Directions: Read the passage about waves of different wavelengths, frequencies, and amplitudes.

Question

A student wonders why some sounds are louder than others and some music notes are softer and at a lower pitch than others. He decides to do some research to find out what properties of waves cause these changes.

First, he learns that a wave is a repeating pattern with a specific wavelength, frequency, and amplitude. The amplitude of a wave is the maximum distance above or below the equilibrium. The energy of one wave is found by calculating the square of the wave's amplitude. Frequency is the number of times the wave pattern repeats. The amount of energy transferred by the wave is proportional to its frequency. For example, in sound waves the amplitude of the wave is related to its loudness and the frequency is related to its pitch.

In his research, the student discovers some graphs that help him to understand how the properties of waves affect their energy.

Graph 1 shows the amplitudes (in meters) of three waves (labeled wave 1, 2, and 3) traveling through a medium over time (in seconds).

Graph 2 shows a different set of three waves (labeled wave X, Y, and Z) traveling in a medium.

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Multiple Choice Question
Which answer choice arranges the waves shown in Graph 1 by increasing order of energy?

A.
wave 1, wave 2, wave 3

B.
wave 2, wave 3, wave 1

C.
wave 1, wave 3, wave 2

Answer 1

To determine the correct order of the waves in Graph 1 by increasing order of energy, we need to consider the amplitude of each wave. The energy of a wave is proportional to the square of its amplitude. Therefore, a larger amplitude corresponds to a higher energy level.

The correct arrangement can be established as follows:

1. Identify the amplitudes of waves 1, 2, and 3 from the graph.
2. Square the amplitude values to find the energy for each wave.
3. Arrange the waves from lowest energy to highest energy based on their amplitudes.

Without the actual graph data, I can't provide the explicit answer, but follow these steps with the given data to find the right order. If you have the values for the amplitudes, I can help you determine which answer choice is correct based on the calculations.