Waves Unit Test

Question

3 of 163 of 16 Items

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 faster speed.
Wave X has a faster speed.

Wave X has a greater amplitude.
Wave X has a greater amplitude.

Wave W has a faster speed.
Wave W has a faster speed.

Wave W has a greater amplitude.

Answer 1

To determine the speed of the waves, we can use the wave speed formula:

\[ \text{Speed} (v) = \text{Wavelength} (\lambda) \times \text{Frequency} (f) \]

Let's calculate the speed for each wave:

1. For Wave W: \[ v_W = \text{Wavelength} \times \text{Frequency} = 5 , \text{m} \times 200 , \text{Hz} = 1000 , \text{m/s} \]

2. For Wave X: \[ v_X = \text{Wavelength} \times \text{Frequency} = 3 , \text{m} \times 300 , \text{Hz} = 900 , \text{m/s} \]

Now we compare the speeds:

• Wave W has a speed of \( 1000 , \text{m/s} \).
• Wave X has a speed of \( 900 , \text{m/s} \).

Conclusion: Wave W has a faster speed than Wave X.

Therefore, the correct response is:

Wave W has a faster speed.