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.

Answer 1

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.