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