One string of a certain musical instrument is 50 cm long and has a mass of 11.75 g. It is being played in a room where the speed of sound is 343 m/s. The speed of a wave travelling on a stretched string of mass per unit length μ and under tension F is v = √F/μ
a) To what tension must you adjust the string so that, when vibrating in its fourth harmonic, it produces sound of wavelength 1.2 m?
b) What frequency sound does this string produce in its fundamental mode of vibration?