Use the table to answer the question.

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