Ocean waves slow down when they move from deep to shallow water, but their frequency remains nearly the same.
(i) In deep water a certain set of waves has a wavelength of 12m and a frequency of 0.5Hz. Calculate the speed of these waves in deep water.
(ii) On entering a shallow region the speed of the waves is reduced to 4ms−1. Determine their wavelength in this region.
(iii) Find the ratio of the wavelength in deep water to that in shallow water.
(iv) A floating buoy in the shallow region records the passage of crests for 5 minutes. How many crests will it count during this period?