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3 marksPhysical Quantities

CAPE Physics Unit 1 · 2018 · Paper 2 · Question 2(b)(iii)

The tone heard when blowing across the top of a partially filled bottle (Figure 2) is due to cavity resonance. The frequency, f, depends on the air volume, V, in the bottle, related by the formula f = (c / (2π)) * sqrt(A / (V*L)), where c is the velocity of sound, A is the cross-sectional area of the neck, L is the neck length, and V is the air volume. An experiment to investigate cavity resonance yielded values for f and V in Table 2.

Determine the gradient of the graph.

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Other parts of this question

  1. 2(a)(i)Define Loudness.[1 mark]
  2. 2(a)(ii)Define Pitch.[1 mark]
  3. 2(a)(iii)Define Quality.[1 mark]
  4. 2(b)(i)Complete Column 3 in Table 2 on page 12.[2 marks]
  5. 2(b)(ii)Using an appropriate scale, plot a graph of f against 1/sqrt(V) on the grid provided in Figure 3 on page 13. Draw the line of best fit through the points.[4 marks]
  6. 2(c)Use this data along with your answer in (b)(iii) to determine the velocity of sound in the bottle.[3 marks]

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