A microphone placed along the line of travel of a sound wave records the following successive values of air density (arbitrary units) at positions 1.0cm apart: 1.30, 1.00, 0.70, 1.00, 1.30, 1.00, 0.70, 1.00.
(a) Taking the first reading as position 0 cm, list the positions that correspond to compressions and those that correspond to rarefactions.
(b) Determine the wavelength of the wave from the given data.
(c) If the speed of the wave is 325m/s, calculate its frequency.
(d) Explain qualitatively how the regions of maximum and minimum density identified in part (a) relate to regions of high and low pressure in the sound wave.