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4 marksHarmonic Motion

CAPE Physics Unit 1 · 2003 · Paper 2 · Question 6(c)

An air column is formed using a glass tube closed at one end, with length variable between 0.50 m to 1.80 m. A tuning fork of 280 Hz is used, and the speed of sound is 340 m s⁻¹.

Calculate the lengths at which a tuning fork of 280 Hz would produce resonance. Ignore end connections. (Speed of sound = 340 m s⁻¹)

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Other parts of this question

  1. 6(a)(i)Define the terms 'longitudinal wave' and 'frequency'.[5 marks]
  2. 6(a)(ii)Sketch and label graphs to represent displacement against position for the wave above.[1 mark]
  3. 6(a)(ii)b)Sketch and label graphs to represent displacement against time, for the wave above.[1 mark]
  4. 6(a)(iii)For EACH graph drawn in (a)(ii) insert the scale on the horizontal axis.[1 mark]
  5. 6(b)(i)Explain the terms 'intensity of sound' and 'threshold of hearing'. State the intensity level, in dB, for the threshold of hearing.[8 marks]
  6. 6(b)(ii)a)Deduce the intensity of the sound from a motor-bike where the intensity level is 80 dB.[1 mark]
  7. 6(b)(ii)b)A person's ear collects sound from an effective area of 0.4 cm². What is the power incident on the ear at the threshold of hearing?[1 mark]
  8. 6(d)For a string of mass 1.6 x 10⁻³ kg and length 0.80 m find its fundamental frequency when a mass of 1 kg is hung from its end.[3 marks]

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