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The energy per unit surface area of a linear wave is proportional to

  • A.the wave period alone, without any dependence on the height
  • B.the square of the wave height, times density and gravity terms
  • C.the wave height itself, times the density and gravity terms
  • D.the cube of the wave height, times density and gravity terms

Answer: B

Total energy per unit area is one eighth of rho g H squared, split equally between kinetic and potential. Doubling the wave height therefore quadruples the energy the wave carries. Loading on a structure scales with the energy, not the height.

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