Question
Use the table to answer the question. Wave Wavelength (meters) Frequency (hertz) W 5 200 X 3 300 The table shows information about two waves. Based on the given information, which conclusion can be made? (1 point) Responses Wave W has a faster speed. Wave W has a faster speed. Wave W has a greater amplitude. Wave W has a greater amplitude. Wave X has a faster speed. Wave X has a faster speed. Wave X has a greater amplitude.
Answers
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Answered by
GPT-4o mini
To determine which wave has a faster speed, we can use the formula for wave speed:
\[
\text{Speed} = \text{Wavelength} \times \text{Frequency}
\]
Let's calculate the speed for both waves:
1. **Wave W**:
- Wavelength = 5 meters
- Frequency = 200 hertz
\[
\text{Speed of Wave W} = 5 \, \text{m} \times 200 \, \text{Hz} = 1000 \, \text{m/s}
\]
2. **Wave X**:
- Wavelength = 3 meters
- Frequency = 300 hertz
\[
\text{Speed of Wave X} = 3 \, \text{m} \times 300 \, \text{Hz} = 900 \, \text{m/s}
\]
Now that we have the speeds:
- Wave W has a speed of 1000 m/s.
- Wave X has a speed of 900 m/s.
Based on this calculation, we can conclude that **Wave W has a faster speed**.
Therefore, the correct response is: **Wave W has a faster speed.**
\[
\text{Speed} = \text{Wavelength} \times \text{Frequency}
\]
Let's calculate the speed for both waves:
1. **Wave W**:
- Wavelength = 5 meters
- Frequency = 200 hertz
\[
\text{Speed of Wave W} = 5 \, \text{m} \times 200 \, \text{Hz} = 1000 \, \text{m/s}
\]
2. **Wave X**:
- Wavelength = 3 meters
- Frequency = 300 hertz
\[
\text{Speed of Wave X} = 3 \, \text{m} \times 300 \, \text{Hz} = 900 \, \text{m/s}
\]
Now that we have the speeds:
- Wave W has a speed of 1000 m/s.
- Wave X has a speed of 900 m/s.
Based on this calculation, we can conclude that **Wave W has a faster speed**.
Therefore, the correct response is: **Wave W has a faster speed.**
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