a musical tones pitch varies inversely with its wavelength. if a tone has a pitch o 400 vibrations each second when the wavelength is 2 meters find the wavelength of a tone that has a pitch of 700 vibrations each second
Inverse variation has the form: y = k / x
For this problem: pitch = k / wavelength
400 = k / 2 ---> k = 800
Formula for this problem: pitch = 800 / wavelength
700 = 800 / wavelength
700 x wavelength = 800
wavelength = 8/7 m
