1. A wave of frequency 8 Hz has a wave speed of 24 m/s.

What is its wavelength?

2. Find the velocity of a wave in a ripple tank if its frequency is12 Hz and its wavelength 3 cm.

3. The speed of a wave is 1.5 m/s and its wavelength is 0.25m.

What is its frequency?

5. A source produces 400 waves every minute. If the speed of the waves is 8 mm/s, calculate the distance between adjacent troughs.

6.  The diagram shows part of an experimental wave tank used to test model oil rigs.

There is a wave generator at one end of the tank. Two depth markers, P and Q, are fixed to the bottom of the tank.

(a)

(i) Ten waves are made in 5 seconds. Calculate the frequency of the waves.
(ii) The distance from the wave generator to the other end of the tank is 12 metres. Eight complete waves are made in this distance. Calculate the wavelength of the waves.
(iii) Calculate the speed of the waves.
(b)
(i) As the waves travel along the tank, the length of depth marker P seen above the water changes from 15 centimetres to 13 centimetres. Calculate the amplitude of the waves at depth marker P.
(ii) Why is the amplitude of the waves at depth marker Q smaller than at P?