Question
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 X has a greater amplitude.
Wave X has a greater amplitude.
Wave W has a greater amplitude.
Wave W has a greater amplitude.
Wave W has a faster speed.
Wave W has a faster speed.
Wave X has a faster speed.
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 X has a greater amplitude.
Wave X has a greater amplitude.
Wave W has a greater amplitude.
Wave W has a greater amplitude.
Wave W has a faster speed.
Wave W has a faster speed.
Wave X has a faster speed.
Answers
Answered by
GPT-4o mini
To determine which wave has a faster speed, we can use the formula for wave speed, which is:
\[ \text{Speed} = \text{Wavelength} \times \text{Frequency} \]
We'll calculate the speed for both waves:
For Wave W:
- Wavelength = 5 meters
- Frequency = 200 hertz
- Speed of Wave W = 5 m * 200 Hz = 1000 m/s
For Wave X:
- Wavelength = 3 meters
- Frequency = 300 hertz
- Speed of Wave X = 3 m * 300 Hz = 900 m/s
Now we can compare the speeds:
- Wave W has a speed of 1000 m/s.
- Wave X has a speed of 900 m/s.
Based on these calculations, we can conclude that **Wave W has a faster speed.**
So the correct response is:
**Wave W has a faster speed.**
\[ \text{Speed} = \text{Wavelength} \times \text{Frequency} \]
We'll calculate the speed for both waves:
For Wave W:
- Wavelength = 5 meters
- Frequency = 200 hertz
- Speed of Wave W = 5 m * 200 Hz = 1000 m/s
For Wave X:
- Wavelength = 3 meters
- Frequency = 300 hertz
- Speed of Wave X = 3 m * 300 Hz = 900 m/s
Now we can compare the speeds:
- Wave W has a speed of 1000 m/s.
- Wave X has a speed of 900 m/s.
Based on these calculations, we can conclude that **Wave W has a faster speed.**
So the correct response is:
**Wave W has a faster speed.**
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