Question

If a wave has a wavelength of 13 meters and a period of 0.005, what's the velocity of the wave?
Question 6 options:

A)

2,600 m/s

B)

260 m/s

C)

1,560 m/s

D)

1,300 m/s

Answer 1

To find the velocity of a wave, you can use the formula:

\[
v = \lambda f
\]

where:
- \( v \) is the velocity,
- \( \lambda \) is the wavelength,
- \( f \) is the frequency.

First, we need to find the frequency (\( f \)). The frequency is the inverse of the period (\( T \)), given by:

\[
f = \frac{1}{T}
\]

Given the period \( T = 0.005 \) seconds, we can calculate the frequency:

\[
f = \frac{1}{0.005} = 200 \text{ Hz}
\]

Now, we have:
- Wavelength \( \lambda = 13 \) meters,
- Frequency \( f = 200 \) Hz.

Now we can calculate the wave velocity:

\[
v = \lambda f = 13 \, \text{m} \times 200 \, \text{Hz} = 2600 \, \text{m/s}
\]

So the velocity of the wave is **2600 m/s**.

The correct answer is:

**A) 2,600 m/s**.