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

0.375 to 3 meters
0.375 to 3 meters

750,000 to 6,000,000 meters
750,000 to 6,000,000 meters

0.33 to 2.66 meters
0.33 to 2.66 meters

Answer 1

To find the wavelength of the sound, you can use the formula:

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

Given that the speed of sound in seawater is approximately \(v = 1500 , \text{m/s}\) and the frequencies range from \(500 , \text{Hz}\) to \(4000 , \text{Hz}\), we can calculate the wavelengths for both frequencies.

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

2. For \(f = 4000 , \text{Hz}\): \[ \lambda = \frac{1500 , \text{m/s}}{4000 , \text{Hz}} = 0.375 , \text{meters} \]

Therefore, the approximate wavelengths of sound with which the California sea lions communicate range from \(0.375 , \text{meters}\) to \(3 , \text{meters}\).

The correct response is 0.375 to 3 meters.