A string of length 1.20m is fixed at both ends and kept under a tension of 180N. The linear mass density of the string is 1.0×10−2kgm−1. When plucked, the string vibrates in its third overtone.
(i) What is the harmonic number corresponding to the third overtone?
(ii) Calculate the wavelength of the standing wave produced.
(iii) Determine the frequency of vibration for this mode.
(iv) Compute the separation between any two successive nodes for this standing‐wave pattern.