Question
Ms. Lawson is making a video about waves. In the video she wiggled a string to create a transverse wave. The wave had a wavelength of 2.0 m and speed of 1.5 m/s. What was the frequency of the wave?
A.
3.00 Hz
B.
3.50 Hz
C.
1.33 Hz
D.
0.75 Hz
A.
3.00 Hz
B.
3.50 Hz
C.
1.33 Hz
D.
0.75 Hz
Answers
GPT-4o mini
To find the frequency of a wave, you can use the formula:
\[
\text{Frequency} (f) = \frac{\text{Wave speed} (v)}{\text{Wavelength} (\lambda)}
\]
In this case, the wave speed \(v\) is 1.5 m/s and the wavelength \(\lambda\) is 2.0 m. Plugging these values into the formula gives:
\[
f = \frac{1.5 \, \text{m/s}}{2.0 \, \text{m}} = 0.75 \, \text{Hz}
\]
Therefore, the frequency of the wave is:
**D. 0.75 Hz**
\[
\text{Frequency} (f) = \frac{\text{Wave speed} (v)}{\text{Wavelength} (\lambda)}
\]
In this case, the wave speed \(v\) is 1.5 m/s and the wavelength \(\lambda\) is 2.0 m. Plugging these values into the formula gives:
\[
f = \frac{1.5 \, \text{m/s}}{2.0 \, \text{m}} = 0.75 \, \text{Hz}
\]
Therefore, the frequency of the wave is:
**D. 0.75 Hz**