What is the wavelength of a 340-Hz tone in air? What is the wavelength of a 34,000-Hz ultrasonic wave in air?
Solution 1P Step 1 : We need the speed of sound in the air to solve this problem. Consider the speed of sound in air as, v = 340 m/s air Provided, the frequency of the sound, f = 340 Hz. We have to find out the wavelength of the sound wave in air having a frequency 340 Hz. The equation connecting the wavelength “” , frequency “f” and the speed of a wave “v” is, v = f Rearranging this equation to get the wavelength. = v / f Substituting the values of v and f in this equation we get, = 340 m/s / 340 Hz = 1 m/s /Hz We know that, the unit Hertz, Hz = 1 / second Therefore, = 1 m/s/ (1/s) = 1 metre.