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Shaking a slinky with a wavespeed = 250 m/s at different frequencies will show what kind of relationship between frequency and wavelength. 2 1

Shaking a slinky with a wavespeed = 250 m/s at different frequencies will show what kind of relationship between frequency and wavelength. 2 1

College Physics
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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### Understanding Wave Speed and Frequency #### Problem 1 **Question:** A student shakes a single slinky at a frequency of 5 Hz. The wave speed is 250 m/s. Then the student shakes the same slinky at different frequencies and measures the speed each time. What will be the speed of the wave when the frequency is 50 Hz? **Solution:** *[Show Your Work]* *(Students can enter their detailed solution steps in the provided text box)* #### Diagram Explanation There is a placeholder for students to display their detailed solution process, encouraging step-by-step problem-solving and written explanations. --- #### Problem 2 **Question:** If the frequency of a wave traveling at 250 m/s is 5 Hz, what would be its period? **Solution:** *[Show Your Work]* *(Students can enter their detailed solution steps in the provided text box)* #### Diagram Explanation There is a sidebar for students to present their work methodically, ensuring clarity and comprehension in their calculations. ### Key Concepts: 1. **Wave Speed (v):** The speed at which the wave propagates through the medium. 2. **Frequency (f):** The number of waves that pass a given point per second. 3. **Period (T):** The time it takes for one complete wave cycle to pass a point; it is the reciprocal of frequency (T = 1/f). These questions will help you understand the relationship between wave speed, frequency, and wavelength. By solving them, you will gain a clearer understanding of wave dynamics in different scenarios.
Transcribed Image Text:### Understanding Wave Speed and Frequency #### Problem 1 **Question:** A student shakes a single slinky at a frequency of 5 Hz. The wave speed is 250 m/s. Then the student shakes the same slinky at different frequencies and measures the speed each time. What will be the speed of the wave when the frequency is 50 Hz? **Solution:** *[Show Your Work]* *(Students can enter their detailed solution steps in the provided text box)* #### Diagram Explanation There is a placeholder for students to display their detailed solution process, encouraging step-by-step problem-solving and written explanations. --- #### Problem 2 **Question:** If the frequency of a wave traveling at 250 m/s is 5 Hz, what would be its period? **Solution:** *[Show Your Work]* *(Students can enter their detailed solution steps in the provided text box)* #### Diagram Explanation There is a sidebar for students to present their work methodically, ensuring clarity and comprehension in their calculations. ### Key Concepts: 1. **Wave Speed (v):** The speed at which the wave propagates through the medium. 2. **Frequency (f):** The number of waves that pass a given point per second. 3. **Period (T):** The time it takes for one complete wave cycle to pass a point; it is the reciprocal of frequency (T = 1/f). These questions will help you understand the relationship between wave speed, frequency, and wavelength. By solving them, you will gain a clearer understanding of wave dynamics in different scenarios.
### Question 2: **Shaking a slinky with a wavespeed of 250 m/s at different frequencies will show what kind of relationship between frequency and wavelength.** **Options:** 1. **Option 1:** - Description: This graph shows an exponential increase. As the x-values increase, the y-values also increase rapidly, exhibiting a nearly vertical ascent in the positive quadrant. - Appearance: The curve starts from a low point and sharply rises upward as it moves to the right. 2. **Option 2:** - Description: This graph depicts a horizontal line. The y-values remain constant regardless of changes in x-values, indicating no change in one variable despite changes in another. - Appearance: The line is completely flat, stretching horizontally from left to right. 3. **Option 3:** - Description: This graph shows a linear relationship, where the y-values increase proportionally with the x-values. Both the variables increase at a constant rate. - Appearance: A straight line that extends from the bottom left to the top right. 4. **Option 4:** - Description: This graph demonstrates a hyperbolic decrease. As the x-values increase, the y-values decrease sharply, approaching zero but never quite reaching it. - Appearance: The curve starts high on the y-axis and descends steeply as it moves to the right. To select the correct graph, identify the mathematical relationship between the frequency and wavelength when the wavespeed remains constant.
Transcribed Image Text:### Question 2: **Shaking a slinky with a wavespeed of 250 m/s at different frequencies will show what kind of relationship between frequency and wavelength.** **Options:** 1. **Option 1:** - Description: This graph shows an exponential increase. As the x-values increase, the y-values also increase rapidly, exhibiting a nearly vertical ascent in the positive quadrant. - Appearance: The curve starts from a low point and sharply rises upward as it moves to the right. 2. **Option 2:** - Description: This graph depicts a horizontal line. The y-values remain constant regardless of changes in x-values, indicating no change in one variable despite changes in another. - Appearance: The line is completely flat, stretching horizontally from left to right. 3. **Option 3:** - Description: This graph shows a linear relationship, where the y-values increase proportionally with the x-values. Both the variables increase at a constant rate. - Appearance: A straight line that extends from the bottom left to the top right. 4. **Option 4:** - Description: This graph demonstrates a hyperbolic decrease. As the x-values increase, the y-values decrease sharply, approaching zero but never quite reaching it. - Appearance: The curve starts high on the y-axis and descends steeply as it moves to the right. To select the correct graph, identify the mathematical relationship between the frequency and wavelength when the wavespeed remains constant.
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