1.1. Frequency and wavelength are fundamental properties of all waves. The relationship between them depends on the context of interaction and on the type of wave in question. 

Sketch a graph showing the relationship between the frequency and wavelength of an electromagnetic wave.

1.2. Figure 1 shows the variation of air pressure with time of a sound wave.

Figure 1

Sketch on Figure 1 separate graphs to show another sound wave of: 

(i) The same loudness but higher pitch. Label this graph X.

(ii) The same pitch but quieter. Label this graph Y.

1.3. Figure 2a and Figure 2b shows the cross-sections of water waves produced by a plane wave vibration generator in a ripple tank. These waves are measured to move across the ripple tank at 20 cm s^–1, travelling from left to right. 

A small fishing boat is shown on the water surface at O in Figure 2a. The same boat is then shown 0.2 seconds later at O’ in Figure 2b.

Figure 2a

Figure 2b

Calculate the wavelength of the water waves generated by the plane wave vibration generator.

1.4. Discuss the motion of the boat during the next 0.2 s. 

State clearly any assumptions you make in your answer.