Question

Question
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

Answer 1

To determine which wave has the fastest speed, we can use the formula for wave speed:

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

Let's calculate the speed for each wave.

1. **Wave 1**:
- Frequency = 120 Hz
- Wavelength = 5 m
- Speed = \( 120 \, \text{Hz} \times 5 \, \text{m} = 600 \, \text{m/s} \)

2. **Wave 2**:
- Frequency = 90 Hz
- Wavelength = 7 m
- Speed = \( 90 \, \text{Hz} \times 7 \, \text{m} = 630 \, \text{m/s} \)

3. **Wave 3**:
- Frequency = 140 Hz
- Wavelength = 2 m
- Speed = \( 140 \, \text{Hz} \times 2 \, \text{m} = 280 \, \text{m/s} \)

4. **Wave 4**:
- Frequency = 70 Hz
- Wavelength = 8 m
- Speed = \( 70 \, \text{Hz} \times 8 \, \text{m} = 560 \, \text{m/s} \)

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** with a speed of **630 m/s**.

**Response: wave 2**