The figure shows three waves that are separately sent along a string that is stretched under a certain tension along an x axis. AX In the following questions, you will need to rank the various waves. If multiple waves rank equally, use the same rank for each, then exclude the intermediate ranking (i.e. if objects A, B, and C must be ranked, and A and B must both be ranked first, the ranking would be A:Greatest, B:Greatest, C:Third greatest). If all waves rank equally, rank each as 'Greatest:
The figure shows three waves that are separately sent along a string that is stretched under a certain tension along an x axis. AX In the following questions, you will need to rank the various waves. If multiple waves rank equally, use the same rank for each, then exclude the intermediate ranking (i.e. if objects A, B, and C must be ranked, and A and B must both be ranked first, the ranking would be A:Greatest, B:Greatest, C:Third greatest). If all waves rank equally, rank each as 'Greatest:
College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:**Title: Analysis of Waves on a Stretched String**
**Introduction:**
The figure shows three waves that are separately sent along a string that is stretched under a certain tension along an x-axis.
**Figure Description:**
The provided figure depicts three different waveforms labeled numerically as 1, 2, and 3. These waves are presented on a standard x-y coordinate system, where the x-axis represents the direction of the wave propagation and the y-axis represents the displacement of the string.
- **Wave 1:** This is shown in purple and appears to have the longest wavelength and lowest amplitude.
- **Wave 2:** This is shown in yellow and has a medium wavelength and a medium amplitude.
- **Wave 3:** This is shown in blue and has the shortest wavelength with the highest amplitude.
**Instructions:**
In the following questions, you will need to rank the various waves. If multiple waves rank equally, use the same rank for each, then exclude the intermediate ranking (i.e., if objects A, B, and C must be ranked, and A and B must both be ranked first, the ranking would be A: Greatest, B: Greatest, C: Third Greatest). If all waves rank equally, rank each as 'Greatest'.
**Study Notes:**
- When analyzing the waves, consider factors such as wavelength (the length of one complete wave cycle), amplitude (the maximum displacement from the rest position), and frequency (how often the wave cycles repeat per unit time).
- The tension in the string affects wave speed, with higher tension leading to faster wave propagation.
- Understanding the properties of the waves will aid in accurately ranking them based on the criteria provided in the questions.
Transcribed Image Text:### Ranking Waves by Speed
In this exercise, you are asked to rank three different waves based on their speeds. The waves are displayed in a graph and numbered from 1 to 3. Each wave has a distinct amplitude and frequency, which can be used to gauge its speed.
#### Graph Description:
- **Axes**: The graph uses Cartesian coordinates with the x-axis representing time or distance and the y-axis representing the wave's displacement.
- **Waves**:
- **Wave 1** is shown in yellow.
- **Wave 2** is shown in magenta.
- **Wave 3** is shown in cyan.
Each wave's speed can be deduced by considering its frequency; higher frequency generally indicates higher speed for a wave of the same type in the same medium.
#### Ranking:
Based on the frequency observed in the graph:
- **Wave 2 (Magenta)**: Greatest speed, as it has the highest frequency.
- **Wave 3 (Cyan)**: Second greatest speed, with a frequency lower than wave 2 but higher than wave 1.
- **Wave 1 (Yellow)**: Third greatest speed, having the lowest frequency among the three waves.
Using the drop-down selections provided:
- **Wave 1**: Third greatest.
- **Wave 2**: Greatest.
- **Wave 3**: Second greatest.
This ranking helps identify how the frequency of a wave correlates with its speed.
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