A sound wave with a frequency of 260 Hz moves with a velocity of 343 m/s through air. What is the distance from one condensation region (area of maximum pressure) to the next?

1.31

To find the distance between two condensation regions (also known as the wavelength), you can use the formula:

wavelength = velocity / frequency

In this case, the velocity of the sound wave is 343 m/s and the frequency is 260 Hz.

Substituting the values into the formula, we get:

wavelength = 343 m/s / 260 Hz

Calculating the value gives us:

wavelength ≈ 1.319 m

Therefore, the distance from one condensation region to the next is approximately 1.319 meters.

To find the distance between two condensation regions of a sound wave, we need to calculate the wavelength of the wave. The wavelength (λ) is the distance between two consecutive condensation regions or any two corresponding points of a wave.

The relationship between wavelength, frequency, and velocity of a wave can be described by the wave equation:

v = λ × f

Where:
- v is the velocity of the wave
- λ is the wavelength
- f is the frequency of the wave

We are given the frequency (f) as 260 Hz and the velocity (v) as 343 m/s. We can rearrange the equation to solve for the wavelength (λ):

λ = v / f

Substituting the given values:

λ = 343 m/s / 260 Hz
≈ 1.32 m

Therefore, the distance from one condensation region to the next, or the wavelength of the sound wave, is approximately 1.32 meters.