Rayleigh Distribution and Deep Water Waves Quiz

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Questions and Answers

What distribution is used to describe wave heights in deep water when waves are not too steep?

  • Rayleigh distribution (correct)
  • Exponential distribution
  • Uniform distribution
  • Normal distribution

What is the probability density function for the Rayleigh distribution of wave heights?

  • $p(H) = \dfrac{H}{4\sigma} e^{-\tfrac{H^2}{8\sigma^2}}$
  • $p(H) = \dfrac{H}{2\sigma^2} e^{-\tfrac{H^2}{8\sigma^2}}$
  • $p(H) = \dfrac{H^2}{4\sigma^2} e^{-\tfrac{H}{8\sigma^2}}$
  • $p(H) = \dfrac{H}{4\sigma^2} e^{-\tfrac{H^2}{8\sigma^2}}$ (correct)

In practice, what is often ignored when considering the wave heights' distribution?

  • Wave steepness
  • Wave refraction
  • Wave period variability (correct)
  • Wave interference

For what type of spectrum is the Rayleigh distribution theoretically valid?

<p>Narrow spectrum (A)</p> Signup and view all the answers

What do observations show about the wave heights in broader spectra?

<p>They more or less obey a Rayleigh distribution (B)</p> Signup and view all the answers

What distribution is used to describe the wave heights in deep water with waves not too steep?

<p>Rayleigh distribution (D)</p> Signup and view all the answers

What is the probability density function for the Rayleigh distribution of wave heights?

<p>$p(H) = \dfrac{H}{4\sigma^2} e^{-\tfrac{H^2}{8\sigma^2}}$ (B)</p> Signup and view all the answers

For what type of spectrum is the Rayleigh distribution theoretically valid?

<p>Narrow spectrum (A)</p> Signup and view all the answers

What parameter can be related to each other using the Rayleigh distribution according to the text?

<p>Parameters determined by wave-by-wave analysis and spectral analysis (C)</p> Signup and view all the answers

What type of distribution have observations shown the wave heights to more or less obey, even for broader spectra?

<p>Rayleigh distribution (D)</p> Signup and view all the answers

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