(a) State the difference between progressive waves and stationary waves in terms of the transfer of energy along the wave. (b) A progressive wave travels from left to right along a stretched string. Fig. 4.1 shows part of the string at one instant. [Figure 4.1] P, Q and R are three different points on the string. The distance between P and R is 0.48 m. The wave has a period of 0.020 s.

1. (a)State the difference between progressive waves and stationary waves in terms of the transfer of energy along the wave.[1]
2. (b)(i)Use Fig. 4.1 to determine the wavelength of the wave.[1]
3. (b)(ii)Calculate the speed of the wave.[2]
4. (b)(iii)Determine the phase difference between points Q and R.[1]
5. (b)(iv)Fig. 4.1 shows the position of the string at time t = 0. Describe how the displacement of point Q on the string varies with time from t = 0 to t = 0.010s.[2]
6. (c)(i)Explain what is meant by a node of a stationary wave.[1]
7. (c)(ii)State the number of antinodes of the wave shown in Fig. 4.2.[1]
8. (c)(iii)State the phase difference between points W and Z on the string.[1]
9. (c)(iv)A new stationary wave is now formed on the string. The new wave has a frequency that is half of the frequency of the wave shown in Fig. 4.2. The speed of the wave is unchanged. On Fig. 4.3, draw a position of the string, for this new wave, when each point is at its maximum displacement. [Figure 4.3][1]

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