% www na nc 2013 Pearson Education Inc In the figure O Vb>VaVc O Vb Va> Vc O Vb < VaVc Vb = Va > Vc

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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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### Educational Content on Wave Propagation

**Understanding Wave Propagation: Velocity and Frequency Relationships**

#### Analysis of the Graph:

The provided figure shows three sections of a wave traveling through different media or conditions. Each segment is labeled with a velocity (`v`) and a medium (`n`). 

- The section labeled `v_a` and `n_a` represents the wave traveling through the first medium with velocity `v_a`.
- The section labeled `v_b` and `n_b` represents the wave traveling through the second medium with velocity `v_b`.
- The section labeled `v_c` and `n_c` represents the wave traveling through the third medium with velocity `v_c`.

#### Key Observations:

- The wavelength decreases from left to right, indicating changes in the wave's velocity through different media.
- The wavelengths in each medium suggest different relationships between the velocity and the frequency of the waves.

#### Question:

"In the figure"

- **Option 1:** \( v_b > v_a > v_c \)
- **Option 2:** \( v_b < v_a > v_c \)
- **Option 3:** \( v_b < v_a < v_c \)
- **Option 4:** \( v_b = v_a > v_c \)

The correct relationship among the wave velocities (`v_a`, `v_b`, and `v_c`) can be inferred based on the wavelength depicted in each medium. Since the frequency of the wave remains constant across different media, the velocity is proportional to the wavelength. Hence, the medium with the longest wavelength indicates the highest velocity, and the medium with the shortest wavelength indicates the lowest velocity.

#### Detailed Explanation:

The figure illustrates that the wavelength is in the sequence decreasing from `n_a` to `n_c`. This implies that the velocity follows the trend of the wavelengths:

1. **First Section (n_a)**: The wavelength is longest implying `v_a` is the highest.
2. **Second Section (n_b)**: The wavelength is intermediate indicating `v_b` is between `v_a` and `v_c`.
3. **Third Section (n_c)**: The wavelength is the shortest implying `v_c` is the lowest.

Thus, the correct relationship is likely to be:
- **Option 1:** \( v_b < v_a > v_c \)

This is consistent with the observed wavelengths in the graph.

### Conclusion:

The graph and its interpretation help illustrate the concept of
Transcribed Image Text:### Educational Content on Wave Propagation **Understanding Wave Propagation: Velocity and Frequency Relationships** #### Analysis of the Graph: The provided figure shows three sections of a wave traveling through different media or conditions. Each segment is labeled with a velocity (`v`) and a medium (`n`). - The section labeled `v_a` and `n_a` represents the wave traveling through the first medium with velocity `v_a`. - The section labeled `v_b` and `n_b` represents the wave traveling through the second medium with velocity `v_b`. - The section labeled `v_c` and `n_c` represents the wave traveling through the third medium with velocity `v_c`. #### Key Observations: - The wavelength decreases from left to right, indicating changes in the wave's velocity through different media. - The wavelengths in each medium suggest different relationships between the velocity and the frequency of the waves. #### Question: "In the figure" - **Option 1:** \( v_b > v_a > v_c \) - **Option 2:** \( v_b < v_a > v_c \) - **Option 3:** \( v_b < v_a < v_c \) - **Option 4:** \( v_b = v_a > v_c \) The correct relationship among the wave velocities (`v_a`, `v_b`, and `v_c`) can be inferred based on the wavelength depicted in each medium. Since the frequency of the wave remains constant across different media, the velocity is proportional to the wavelength. Hence, the medium with the longest wavelength indicates the highest velocity, and the medium with the shortest wavelength indicates the lowest velocity. #### Detailed Explanation: The figure illustrates that the wavelength is in the sequence decreasing from `n_a` to `n_c`. This implies that the velocity follows the trend of the wavelengths: 1. **First Section (n_a)**: The wavelength is longest implying `v_a` is the highest. 2. **Second Section (n_b)**: The wavelength is intermediate indicating `v_b` is between `v_a` and `v_c`. 3. **Third Section (n_c)**: The wavelength is the shortest implying `v_c` is the lowest. Thus, the correct relationship is likely to be: - **Option 1:** \( v_b < v_a > v_c \) This is consistent with the observed wavelengths in the graph. ### Conclusion: The graph and its interpretation help illustrate the concept of
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