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CAPE Physics Unit 1 · 2011 · Paper 2 · Question 2(b)(iii)

The frequency f of a vibrating string is given by f = (1/(2l)) * sqrt(T/μ), where T is tension, μ is mass per unit length, and l is length. The tension T is kept constant at 100 N. The string's length is varied to tune it to tuning forks, and the results are in Table 2.

Use the graph to determine the frequency of an unmarked fork which was in tune with 41.7 cm of the string.

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Other parts of this question

  1. 2(a)(i)Describe and explain what is heard at a certain level as the water runs out at the lower end.[2 marks]
  2. 2(a)(ii)What name is given to this phenomenon?[1 mark]
  3. 2(b)(i)Complete the table by filling in the values for 1/l.[1 mark]
  4. 2(b)(ii)On page 9, plot a graph of frequency f vs 1/l.[3 marks]
  5. 2(b)(iv)Calculate the gradient of the graph.[3 marks]
  6. 2(b)(v)Determine the value of the mass per unit length, μ, of the wire.[3 marks]

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