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 ?

Answer

48 m/s

Explanation

For fundmental frequency we use
`n_(0) = (v)/(2l)`
`v = 2n_(0)l = 2 xx 30 xx 0.8 = 48 m//s`