Ask a New Question
Menu

Use the table to answer the question.

Wave # Frequency (Hz) Wavelength (m)
1 120 5
2 90 7
3 140 2
4 70 8
The table shows the frequency and wavelength of four different waves. Which wave has the fastest speed?

(1 point)
Responses

wave 2
wave 2

wave 1
wave 1

wave 3
wave 3

wave 4

1 answer

The speed of a wave can be calculated using the formula:

\[ \text{Speed} = \text{Frequency} \times \text{Wavelength} \]

Let's calculate the speed for each wave:

  • Wave 1:

    • Frequency = 120 Hz
    • Wavelength = 5 m
    • Speed = 120 Hz × 5 m = 600 m/s

  • Wave 2:

    • Frequency = 90 Hz
    • Wavelength = 7 m
    • Speed = 90 Hz × 7 m = 630 m/s

  • Wave 3:

    • Frequency = 140 Hz
    • Wavelength = 2 m
    • Speed = 140 Hz × 2 m = 280 m/s

  • Wave 4:

    • Frequency = 70 Hz
    • Wavelength = 8 m
    • Speed = 70 Hz × 8 m = 560 m/s

Now, we compare the speeds:

  • Wave 1: 600 m/s
  • Wave 2: 630 m/s
  • Wave 3: 280 m/s
  • Wave 4: 560 m/s

The wave with the fastest speed is Wave 2, which has a speed of 630 m/s.

So, the correct response is: wave 2