Three resonant frequencies of a string are 90, 150 and 210 Hz.
(a) Find the highest possible fundamental frequency of vibration of this string.
(b) Which harmonics of the fundamental are the given frequencies ?
(c) Which overtones are these frequencies.
(d) If the length of the] string is 80 cm, what would be the speed of a transverse wave on this string?

The resonant frequencies of a string are F base 1 = 90 Hz, f base 2 = 150 Hz, f base 3 = 120 Hz a) The highest possible fundamental frequency of the string is f = 30 Hz [because f base 1, f base 2 and f base 3 are integral multiple of 30 Hz] b) The frequencies are f base 1 = 3f, f base 2 = 5f, f base 3 = 7f So, f base 1, f base 2 and f base 3 are 3^rd harmonic, 5^th harmonic and 7th harmonic respectively