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In deep water, the celerity of a wave depends on

  • A.the water depth, and not on the period of the wave at all
  • B.the wave height, and not on the period of the wave at all
  • C.neither the wave period nor the depth of the water present
  • D.the wave period, and not on the depth of the water at all

Answer: D

The hyperbolic tangent approaches one, so celerity reduces to g times the period over two pi. Deep water waves are therefore dispersive while shallow water waves are not. Dispersion is the defining property of the deep water regime.

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