Inside a long horizontal tube a longitudinal sound wave is produced at one instant. The centre of the first compression is at x=0.08m and the centre of the fifth rarefaction is at x=1.52m.
(i) Show that the wavelength of the wave is 0.32m.
(ii) Draw a neat, labelled transverse sketch of the same wave over a length of two complete wavelengths, marking amplitude and wavelength clearly.
(iii) If the amplitude of particle oscillation is 5mm, state how the loudness of the sound will change when the amplitude is increased to 10mm while keeping the wavelength unchanged. Give a reason.
(iv) The time required for one complete oscillation of a particle is 0.0010s. Calculate the speed of the wave.