An organ pipe open at both ends has a length of 66cm. It is vibrating in its third overtone when the speed of sound in air is 330m s−1.
(i) Calculate the frequency of the sound produced in this mode.
(ii) Determine the wavelength of the sound wave in air for this mode.
(iii) Measured from one open end, locate the positions of all nodes and antinodes inside the pipe for this mode. Give your answers in centimetres.
(iv) What is the distance between two successive nodes in this mode of vibration?