A stretched elastic string of length 1.2 m is held firmly at both ends. It is made to oscillate so that a standing wave is set up in the first harmonic mode at a frequency of 440 Hz.
(a) Determine the speed at which waves travel along the string. Give your answer to an appropriate number of significant figures.
(b) What are the wavelengths and frequencies at which the following harmonics will occur?
- i second harmonic
- ii third harmonic
- iii n th harmonic
(c) If you listened to the vibrating string, what would the wavelength of the sound be? (The speed of sound in air is 330 ms−1 .)