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Formula for the Speed of Ocean Waves

  1. Apr 19, 2015 #1
    1. The problem statement, all variables and given/known data

    Which formula could be correct for the speed v of ocean waves in terms of the density ρ of sea-water, the acceleration of free fall g, the depth h of the ocean and the wavelength λ?

    The possible answers listed are:

    1. [itex]v = \sqrt{gλ}[/itex]
    2. [itex]v = \sqrt{g/h}[/itex]
    3. [itex]v = \sqrt{ρgh}[/itex]
    4.[itex]v = \sqrt{g/ρ}[/itex]

    2. Relevant equations

    [itex]v = fλ[/itex]

    3. The attempt at a solution

    I seem to think that [itex]v = fλ[/itex] is relevant to this question, and I have tried to apply it but haven't ended up with any of the possible answer
     
  2. jcsd
  3. Apr 19, 2015 #2

    Orodruin

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    Have you considered that the question may be much more basic than that? Which is the only answer that is a velocity?
     
  4. Apr 19, 2015 #3
    I hadn't realised that before, no, and now I can see why A is the only possible answer.

    However, is there a more conceptual reason for this, which could be used to work out the answer without the given options?

    Thanks! :)
     
  5. Apr 19, 2015 #4

    Orodruin

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