Question

Sound waves are longitudinal waves in air. The speed of sound depends on temperature; at 20℃ it is 344 m/s. What is the wavelength of a sound wave in air at 20℃ if the frequency is 262 Hz?

Answer 1

The wavelength of a sound wave with a frequency of 262 Hz in air at 20°C and a sound speed of 344 m/s is approximately 1.31 meters.

Step-by-step explanation:

Sound waves are longitudinal waves in air, and their speed can vary with temperature. At 20°C, the speed of sound in air is 344 m/s. The wavelength of a sound wave can be calculated using the formula v = fλ, where v is the speed of sound, f is the frequency, and λ (lambda) is the wavelength. Given a frequency of 262 Hz for the sound wave, we can rearrange the formula to calculate the wavelength as λ = v/f.

Thus, the wavelength λ = 344 m/s / 262 Hz = approximately 1.31 meters.