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?

Question

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