Rayleigh Distribution and Deep Water Waves Quiz

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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?

Narrow spectrum Signup and view all the answers

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

They more or less obey a Rayleigh distribution Signup and view all the answers

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

Rayleigh distribution Signup and view all the answers

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

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

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

Narrow spectrum Signup and view all the answers

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

Parameters determined by wave-by-wave analysis and spectral analysis 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?

Rayleigh distribution Signup and view all the answers

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?

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

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

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

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

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

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

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

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

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

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