Question

The table lists the frequency and wavelength of different waves.

Wave Frequency (f) Wavelength (λ)
A 10 Hz 30 m
B 20 Hz 15 m
C 50 Hz 6 m


Calculate the speed (v) of each wave using v=fλ, and identify which wave is the fastest. (Hint: Unit 5 Lesson 7)

(2 points)
Responses

Wave A is the fastest.
Wave A is the fastest.

Wave B is the fastest.
Wave B is the fastest.

Wave C is the fastest.
Wave C is the fastest.

All waves have the same speed.

Answer 1

To calculate the speed \( v \) of each wave, we use the formula:

\[ v = f \cdot \lambda \]

where \( f \) is the frequency and \( \lambda \) is the wavelength.

Let's calculate the speed for each wave:

1. **Wave A:**
\[
v_A = f_A \cdot \lambda_A = 10 \, \text{Hz} \cdot 30 \, \text{m} = 300 \, \text{m/s}
\]

2. **Wave B:**
\[
v_B = f_B \cdot \lambda_B = 20 \, \text{Hz} \cdot 15 \, \text{m} = 300 \, \text{m/s}
\]

3. **Wave C:**
\[
v_C = f_C \cdot \lambda_C = 50 \, \text{Hz} \cdot 6 \, \text{m} = 300 \, \text{m/s}
\]

Now that we have the speeds:

- \( v_A = 300 \, \text{m/s} \)
- \( v_B = 300 \, \text{m/s} \)
- \( v_C = 300 \, \text{m/s} \)

All three waves have the same speed of \( 300 \, \text{m/s} \).

Thus, the correct response is:

**All waves have the same speed.**