Question

A sound signal traveling underwater has a frequency of 230 hertz. The speed of sound under water is 1.45 × 103 meters/second. What is the wavelength of the sound signal?
A.
6.3 meters
B.
2.3 meters
C.
3.0 meters
D.
1.2 meters
E.
9.3 meters

Answer 1

To calculate the wavelength of the sound signal, you can use the formula:

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

Given:
- Speed of sound under water, \( v = 1.45 \times 10^3 \, \text{m/s} \)
- Frequency, \( f = 230 \, \text{Hz} \)

Now, plug in the values:

\[
\lambda = \frac{1.45 \times 10^3 \, \text{m/s}}{230 \, \text{Hz}}
\]

Calculating:

\[
\lambda = \frac{1450 \, \text{m/s}}{230 \, \text{Hz}} \approx 6.3043 \, \text{meters}
\]

Rounding to one decimal place, we get:

\[
\lambda \approx 6.3 \, \text{meters}
\]

The correct answer is:

**A. 6.3 meters**