Question

Скорость звука в воде 1450 м/с. Источник колебаний, находящийся в воде, имеет частоту 200 Гц. Определить длину звуковой волны в воде; расстояние между близкими точками, совершающими колебания в противоположных фазах; разность фаз двух точек, находящихся на расстоянии 1м друг от друга.

Answer 1

L=V/v=1450/200=7,25 м
В противофазах: l=L/2=3,625 м    x=1 м
dф=arcsin(x/L)=arcsin(1/7,25)= 8 градусов

Answer 2

Calculation of the Length of the Sound Wave in Water

To determine the length of the sound wave in water, we can use the formula:

Length of sound wave (λ) = Speed of sound (v) / Frequency (f)

Given that the speed of sound in water is 1450 m/s and the frequency of the source is 200 Hz, we can substitute these values into the formula:

λ = 1450 m/s / 200 Hz

Calculating this, we find:

λ = 7.25 meters.

Therefore, the length of the sound wave in water is 7.25 meters.

Calculation of the Distance between Points in Opposite Phases

To calculate the distance between points in opposite phases, we need to consider that one complete wavelength consists of two points in opposite phases. Therefore, the distance between these points is equal to half the wavelength.

Using the previously calculated wavelength of 7.25 meters, we can calculate the distance between points in opposite phases:

Distance between points in opposite phases = λ / 2

Substituting the value of the wavelength, we find:

Distance between points in opposite phases = 7.25 meters / 2

Calculating this, we find:

Distance between points in opposite phases = 3.625 meters.

Therefore, the distance between points in opposite phases is 3.625 meters.

Calculation of the Phase Difference between Two Points

To calculate the phase difference between two points that are 1 meter apart, we need to consider that the phase difference is equal to the distance between the points divided by the wavelength.

Using the previously calculated wavelength of 7.25 meters and the distance between the points of 1 meter, we can calculate the phase difference:

Phase difference = Distance between points / Wavelength

Substituting the values, we find:

Phase difference = 1 meter / 7.25 meters

Calculating this, we find:

Phase difference = 0.1379 radians.

Therefore, the phase difference between two points that are 1 meter apart is approximately 0.1379 radians.