Question

Wave# Frequency Wavelength
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?

Answer 1

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

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

Now, let's calculate the speed for each wave:

1. **Wave 1:**
\[
\text{Speed} = 120 \, \text{Hz} \times 5 \, \text{m} = 600 \, \text{m/s}
\]

2. **Wave 2:**
\[
\text{Speed} = 90 \, \text{Hz} \times 7 \, \text{m} = 630 \, \text{m/s}
\]

3. **Wave 3:**
\[
\text{Speed} = 140 \, \text{Hz} \times 2 \, \text{m} = 280 \, \text{m/s}
\]

4. **Wave 4:**
\[
\text{Speed} = 70 \, \text{Hz} \times 8 \, \text{m} = 560 \, \text{m/s}
\]

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**.