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CAPE Physics Unit 1 · 2014 · Paper 2 · Question 2(b)

The speed of ocean waves in deep water is given by v = sqrt(gλ / (2π)), where g is the acceleration of free fall and λ is the wavelength of the waves.

Show that T, the period of the waves, in terms of g and λ is given by T = sqrt(2πλ / g).

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Other parts of this question

  1. 2(a)(i)What is the approximate range of frequencies which can be heard by a young adult with normal hearing?[1 mark]
  2. 2(a)(ii)A fifteen-year-old girl frequently listens to her iPod via a single earphone placed in her right ear. Describe an experiment which you could do in the physics…[3 marks]
  3. 2(c)Calculate the value of T when the wavelength is 0.8 m.[2 marks]
  4. 2(d)(i)Complete the diagram below to show the different regions of the electromagnetic spectrum.[2 marks]
  5. 2(d)(ii)Write down approximate values for the following: λ_1, λ_2, λ_3, λ_4.[3 marks]

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