What is the relationship between the wavelength and frequency of a sound wave?
The relationship between the wavelength and frequency of a sound wave can be explained using the formula:
Speed of Sound = Wavelength x Frequency
The speed of sound is a constant value, so when the frequency of a sound wave increases, the wavelength decreases, and vice versa. In other words, as the frequency increases, the distance between consecutive peaks or troughs of the wave reduces, resulting in a shorter wavelength. Conversely, when the frequency decreases, the wavelength becomes longer.
To calculate the relationship between wavelength and frequency, you can rearrange the formula to solve for either quantity:
Wavelength = Speed of Sound / Frequency
or
Frequency = Speed of Sound / Wavelength
By using the speed of sound value, which is around 343 meters per second in dry air at room temperature, you can substitute the given values into the equation to find the relationship between the wavelength and frequency of a sound wave.
The relationship between the wavelength (λ) and frequency (f) of a sound wave can be described by the equation:
v = f * λ
Where "v" is the speed of sound in the medium the wave is passing through. According to this equation, the wavelength and frequency of a sound wave are inversely proportional. In other words, if the frequency of a sound wave increases, the wavelength decreases, and vice versa.