Question

For a wave with a wavelength of 2.3 m
, traveling at 1.5×103 m/s
through water, someone claims that the frequency is 650 Hz
. What can be said about this claim? (1 point)
Responses

The claim is true because the frequency is 0.65 Hz
.
The claim is true because the frequency is 0 point 6 5 Hz .

The claim is false because the frequency is 3.45 Hz
.
The claim is false because the frequency is 3 point 4 5 Hz .

The claim is false because the frequency is 3,450 Hz
.
The claim is false because the frequency is 3450 Hz .

The claim is true because the frequency is 650 Hz
.

Answer 1

To determine the frequency of the wave, we can use the wave equation:

\[
\text{Frequency} (f) = \frac{\text{Wave Speed} (v)}{\text{Wavelength} (\lambda)}
\]

Given:
- Wave Speed \( v = 1.5 \times 10^3 \) m/s
- Wavelength \( \lambda = 2.3 \) m

Now, we can calculate the frequency:

\[
f = \frac{1.5 \times 10^3 \text{ m/s}}{2.3 \text{ m}} \approx 652.17 \text{ Hz}
\]

This can be rounded to approximately 650 Hz. Therefore, the claim that the frequency is 650 Hz is actually true.

So the correct response is:

**The claim is true because the frequency is 650 Hz.**