Question:

A sound wave travels through air with a frequency of 440 Hz. The speed of sound in air is approximately 343 m/s. Calculate the wavelength of this sound wave.

Answer:

The formula to calculate the wavelength of a sound wave is given by:

wavelength = speed of sound / frequency

Given: Frequency (f) = 440 Hz Speed of sound (v) = 343 m/s

Substituting these values into the formula, we can calculate the wavelength:

wavelength = 343 m/s / 440 Hz

Calculating the value:

wavelength ≈ 0.78 m

Hence, the wavelength of the sound wave is approximately 0.78 meters.

Note: The speed of sound in air can vary depending on factors such as temperature, humidity, and altitude. The given value of 343 m/s is an average value at room temperature.