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CAPE Physics Unit 1 · May/June 2022 · Paper 2 · Question 2(c)(iii)

Investigation of standing waves on a 2.76 m string.

Using the equation in (c)(ii), show that the relationship between the frequency of the vibrator and the number of antinodes, n, is given by f = (v / 2l)n, where v is the wave velocity and l is the length of the string.

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Other parts of this question

  1. 2(a)(i)State ONE similarity and ONE difference between a transverse wave and a longitudinal wave.[2 marks]
  2. 2(a)(ii)Give ONE example of a transverse wave and ONE example of a longitudinal wave.[2 marks]
  3. 2(b)Explain how a stringed instrument, such as a guitar, produces a sound.[3 marks]
  4. 2(c)(i)A standing wave with three antinodes is set up on the string. In the space provided, sketch and label a diagram to show how the string would look when this…[3 marks]
  5. 2(c)(ii)Write an equation for the wavelength when the string has n antinodes and use this equation to calculate the wavelength of the wave sketched in (c)(i).[4 marks]
  6. 2(d)(i)On the grid provided in Figure 3 on page 15, plot a graph of f against n. Draw the line of best fit through the points.[4 marks]
  7. 2(d)(ii)Using the graph in (d)(i), determine the velocity of the waves on the string.[4 marks]
  8. 2(e)(i)List the order of the media through which the sound arrives at the other end of the pier. Give ONE reason for your response.[3 marks]
  9. 2(e)(ii)Calculate the time taken for the sound waves to travel through the water to reach the other end of the pier, given that the speed of sound in water is 1482 m…[2 marks]

More practice: the rest of this paper · more Properties of Waves questions · all CAPE Physics Unit 1 past papers