The wavelength of a sound wave with a speed of 250 m/s and a frequency of 400 Hz is 0.625 meters. This calculation is performed by dividing the speed of the sound wave by its frequency and applying the formula λ = v / f.
To determine the wavelength of a sound wave given its speed and frequency, we use the formula λ = v / f, where λ is the wavelength, v is the speed of the sound wave, and f is the frequency. Plugging the values into the formula: λ = 250 m/s / 400 Hz = 0.625 m. Therefore, the wavelength is 0.625 meters.
The wavelength of the sound wave is 0.625 meters (a).
Explanation in 150 words: The relationship between wavelength, frequency, and speed of sound is linear and direct. As the frequency increases, with a constant speed, the wavelength decreases and vice versa. In this exercise, the speed of sound is constant at 250 m/s, and the frequency is given as 400 Hz. To find the wavelength (λ), we divide the speed (v) by the frequency (f), which yields 0.625 meters. Knowing this relationship is important to understand the behavior of sound waves in different media.
Given the speed of a sound wave and its frequency, we can calculate its wavelength by dividing the speed by the frequency, yielding a wavelength of 0.625 meters for this particular sound wave.