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