Question

Определите длину волны звука в слышимой области на частоте 1,5 кГц, распространяющуюся в воде со скоростью 1483 м/с и в воздухе со скоростью 343,1 м/с (при температуре 20 ˚С). Определите, в какой среде длина волны звука больше?

Answer 1

Λ=vT
T=1/u
T=0,0006
λ=0,0006*1483=0,98

Answer 2

Calculation of Sound Wavelength in Water and Air

To determine the wavelength of sound in the audible range at a frequency of 1.5 kHz, we need to use the formula:

Wavelength = Speed of Sound / Frequency

Given the following speeds of sound: - Speed of sound in water: 1483 m/s - Speed of sound in air: 343.1 m/s

We can calculate the wavelengths in water and air.

1. Wavelength in Water: - Speed of Sound in Water: 1483 m/s - Frequency: 1.5 kHz = 1500 Hz

Using the formula, we can calculate the wavelength in water:

Wavelength in Water = Speed of Sound in Water / Frequency

Wavelength in Water = 1483 m/s / 1500 Hz

2. Wavelength in Air: - Speed of Sound in Air: 343.1 m/s - Frequency: 1.5 kHz = 1500 Hz

Using the formula, we can calculate the wavelength in air:

Wavelength in Air = Speed of Sound in Air / Frequency

Wavelength in Air = 343.1 m/s / 1500 Hz

Calculation Results

Now, let's calculate the wavelengths in water and air.

1. Wavelength in Water: - Speed of Sound in Water: 1483 m/s - Frequency: 1.5 kHz = 1500 Hz

Wavelength in Water = 1483 m/s / 1500 Hz = 0.9887 meters

2. Wavelength in Air: - Speed of Sound in Air: 343.1 m/s - Frequency: 1.5 kHz = 1500 Hz

Wavelength in Air = 343.1 m/s / 1500 Hz = 0.2287 meters

Comparison of Wavelengths

Comparing the calculated wavelengths, we find that the wavelength of sound in water (0.9887 meters) is larger than the wavelength of sound in air (0.2287 meters).

Therefore, the wavelength of sound is greater in water than in air at a frequency of 1.5 kHz.

Please note that the calculations are based on the given speeds of sound and frequency.