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Deep water conditions are conventionally taken to apply where the depth exceeds

  • A.ten times the wavelength
  • B.half the wavelength
  • C.twice the wavelength
  • D.one twentieth of the wavelength

Answer: B

Correct answer: half the wavelength

At \( d = L/2 \), \( \tanh(kd) = \tanh(\pi) = 0.996 \), close enough to unity that the deep water forms may be used. Below about \( L/20 \) the shallow water approximations apply, and the range between is intermediate depth, where the full dispersion relation must be solved.

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