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 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. Wave X has a faster speed. Wave X has a greater amplitude. Wave X has a greater amplitude. Skip to navigation

Answer 1

To determine which wave has a faster speed, we can use the wave speed formula:

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

Using the information from the table:

• For Wave W:

  • Wavelength \( \lambda_W = 5 \) meters
  • Frequency \( f_W = 200 \) hertz
  • Speed \( v_W = 5 , \text{m} \times 200 , \text{Hz} = 1000 , \text{m/s} \)

• For Wave X:

  • Wavelength \( \lambda_X = 3 \) meters
  • Frequency \( f_X = 300 \) hertz
  • Speed \( v_X = 3 , \text{m} \times 300 , \text{Hz} = 900 , \text{m/s} \)

Now we can compare the speeds:

• Speed of Wave W = 1000 m/s
• Speed of Wave X = 900 m/s

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

The correct answer is: Wave W has a faster speed.