California sea lions communicate underwater at frequencies ranging from 500 to 4,000 hertz. The speed of sound in sea water is approximately 1,500 m/s. What are the approximate wavelengths of sound with which the California sea lions communicate?(1 point)

Question

Responses

2,000 to 5,500 meters
2,000 to 5,500 meters

0.33 to 2.66 meters
0.33 to 2.66 meters

0.375 to 3 meters
0.375 to 3 meters

750,000 to 6,000,000 meters

Answer 1

To calculate the wavelength of sound, we can use the formula:

\[ \text{Wavelength} = \frac{\text{Speed of Sound}}{\text{Frequency}} \]

Given that the speed of sound in sea water is approximately 1,500 m/s, we can find the wavelengths for the frequency range of 500 Hz to 4,000 Hz.

1. For 500 Hz: \[ \text{Wavelength} = \frac{1500 , \text{m/s}}{500 , \text{Hz}} = 3 , \text{meters} \]

2. For 4,000 Hz: \[ \text{Wavelength} = \frac{1500 , \text{m/s}}{4000 , \text{Hz}} = 0.375 , \text{meters} \]

Now, we have the wavelengths ranging from:

• 0.375 meters at 4,000 Hz to
• 3 meters at 500 Hz.

Therefore, the approximate wavelengths of sound with which California sea lions communicate are 0.375 to 3 meters. Thus, the correct response is:

0.375 to 3 meters.