A guitar string of length 0.65m has a mass per unit length of 1.2×10−3kg/m and is under a tension of 180N. Both ends of the string are rigidly fixed. After the string is plucked, standing waves form and the fundamental mode is produced. The sound generated by the vibrating string travels through the surrounding air at 343m/s.
(a) Calculate the speed of transverse waves on the string.
(b) Determine the fundamental frequency of vibration of the string.
(c) Calculate the wavelength of the sound wave in air that corresponds to this fundamental frequency.