What is the period of the wave? (Both graphs represent the same wave.) Your answer: O 0.3 s 0.5 s O 2 s

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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### Question:
What is the period of the wave? (Both graphs represent the same wave.)

### Your answer:
- ⭕ 0.3 s
- ⭕ 0.5 s
- ⭕ 2 s
- ⭕ 3 s
Transcribed Image Text:### Question: What is the period of the wave? (Both graphs represent the same wave.) ### Your answer: - ⭕ 0.3 s - ⭕ 0.5 s - ⭕ 2 s - ⭕ 3 s
## Understanding Wave Representation

### Displacement vs. Time for a Super-Special Wave

The graph titled "Displacement vs. Time for a Super-Special Wave" shows the relationship between the displacement of the wave (in centimeters) and time (in seconds). 

- **X-Axis (Time):** The horizontal axis represents time in seconds (s), ranging from 0 to 5 seconds.
- **Y-Axis (Displacement):** The vertical axis represents the displacement in centimeters (cm), ranging from -4 cm to 4 cm.

The waveform displayed is a sine wave, indicating periodic oscillations over time. Notably:
- At t = 0s, displacement starts at 0 cm.
- At t ≈ 1.25s, the wave reaches its maximum positive displacement (around 3 cm).
- At t ≈ 2.5s, the wave crosses back through 0 cm.
- At t ≈ 3.75s, the wave reaches its maximum negative displacement (around -3 cm).

### Displacement vs. Position for a Super-Special Wave

The second graph, titled "Displacement vs. Position for a Super-Special Wave," displays the relationship between the displacement of the wave and its position in space (in meters).

- **X-Axis (Position):** The horizontal axis represents position in meters (m), ranging from 0 to 5 meters.
- **Y-Axis (Displacement):** The vertical axis represents displacement in centimeters (cm), ranging from -4 cm to 4 cm.

Similar to the first graph, this is also a sine wave indicating periodic oscillations along the spatial position of the wave. Specifically:
- At Position = 0 m, displacement starts at 0 cm.
- At Position ≈ 1.25 m, the wave reaches its maximum positive displacement (around 3 cm).
- At Position ≈ 2.5 m, the wave returns to 0 cm discontinuity.
- At Position ≈ 3.75 m, the wave reaches its maximum negative displacement (around -3 cm).

Both of these graphs visually demonstrate the characteristics of periodic waves, adhering to regular intervals in time and space respectively. These illustrations are fundamental in understanding the behavior of waves in different contexts, essential for learning wave dynamics in physics.
Transcribed Image Text:## Understanding Wave Representation ### Displacement vs. Time for a Super-Special Wave The graph titled "Displacement vs. Time for a Super-Special Wave" shows the relationship between the displacement of the wave (in centimeters) and time (in seconds). - **X-Axis (Time):** The horizontal axis represents time in seconds (s), ranging from 0 to 5 seconds. - **Y-Axis (Displacement):** The vertical axis represents the displacement in centimeters (cm), ranging from -4 cm to 4 cm. The waveform displayed is a sine wave, indicating periodic oscillations over time. Notably: - At t = 0s, displacement starts at 0 cm. - At t ≈ 1.25s, the wave reaches its maximum positive displacement (around 3 cm). - At t ≈ 2.5s, the wave crosses back through 0 cm. - At t ≈ 3.75s, the wave reaches its maximum negative displacement (around -3 cm). ### Displacement vs. Position for a Super-Special Wave The second graph, titled "Displacement vs. Position for a Super-Special Wave," displays the relationship between the displacement of the wave and its position in space (in meters). - **X-Axis (Position):** The horizontal axis represents position in meters (m), ranging from 0 to 5 meters. - **Y-Axis (Displacement):** The vertical axis represents displacement in centimeters (cm), ranging from -4 cm to 4 cm. Similar to the first graph, this is also a sine wave indicating periodic oscillations along the spatial position of the wave. Specifically: - At Position = 0 m, displacement starts at 0 cm. - At Position ≈ 1.25 m, the wave reaches its maximum positive displacement (around 3 cm). - At Position ≈ 2.5 m, the wave returns to 0 cm discontinuity. - At Position ≈ 3.75 m, the wave reaches its maximum negative displacement (around -3 cm). Both of these graphs visually demonstrate the characteristics of periodic waves, adhering to regular intervals in time and space respectively. These illustrations are fundamental in understanding the behavior of waves in different contexts, essential for learning wave dynamics in physics.
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