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 4
wave 4

wave 3
wave 3

wave 1

Answer 1

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

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

Let's calculate the speed for each wave using the values from the table:

1. **Wave 1:**
\[
v_1 = 120 \, \text{Hz} \times 5 \, \text{m} = 600 \, \text{m/s}
\]

2. **Wave 2:**
\[
v_2 = 90 \, \text{Hz} \times 7 \, \text{m} = 630 \, \text{m/s}
\]

3. **Wave 3:**
\[
v_3 = 140 \, \text{Hz} \times 2 \, \text{m} = 280 \, \text{m/s}
\]

4. **Wave 4:**
\[
v_4 = 70 \, \text{Hz} \times 8 \, \text{m} = 560 \, \text{m/s}
\]

Now, comparing the speeds:
- **Wave 1:** 600 m/s
- **Wave 2:** 630 m/s
- **Wave 3:** 280 m/s
- **Wave 4:** 560 m/s

The fastest wave is **wave 2** with a speed of 630 m/s.

So, the correct response is:

**wave 2**