Question

A wave has a wavelength of 3.3 m and a speed of 5.6 m/s. What is the frequency of this wave?

0.59 Hz
1.7 Hz
3.4 Hz
18 Hz

Answer 1

To find the frequency of a wave, you can use the equation:

\[
v = f \cdot \lambda
\]

where:
- \( v \) is the speed of the wave,
- \( f \) is the frequency,
- \( \lambda \) is the wavelength.

Given:
- Wavelength \( \lambda = 3.3 \) m
- Speed \( v = 5.6 \) m/s

We can rearrange the equation to solve for frequency \( f \):

\[
f = \frac{v}{\lambda}
\]

Now, substitute in the values:

\[
f = \frac{5.6 \, \text{m/s}}{3.3 \, \text{m}} = \frac{5.6}{3.3} \approx 1.69697 \, \text{Hz}
\]

Rounding to two decimal places, we get:

\[
f \approx 1.7 \, \text{Hz}
\]

Therefore, the frequency of the wave is approximately **1.7 Hz**.