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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 4
wave 4

wave 3
wave 3

wave 1
wave 1

wave 2

1 answer

To determine which wave has the fastest speed, we can use the formula for wave speed, which is given by:

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

Now, we can calculate the speed of each wave using the data provided in the table:

  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 can 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.

So, the answer is: wave 2.