A 780 Hz sound wave passes through 37.0°F air. What is the wavelength in meters?

Answer 1

1. Convert Fahrenheit to Kelvin

temperature_kelvin = (37.0 + 459.67) 5/9 ≈277.59K

2. Calculate Speed of Sound

speed_of_sound} = 331.3 ×√277.59 ≈348.2 m/s

3. Use the Wavelength Formula

wavelength = speed_of_sound

—————————

frequency

wavelength = 348.2 m/s

——————— ≈ 0.446 meters

780Hz

Therefore, the wavelength of the sound wave is approximately 0.446 meters.