# Formula for the Speed of Ocean Waves

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1. Apr 19, 2015

### Charles W

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?

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

2. Relevant equations

$v = fλ$

3. The attempt at a solution

I seem to think that $v = fλ$ is relevant to this question, and I have tried to apply it but haven't ended up with any of the possible answer

2. Apr 19, 2015

### Orodruin

Staff Emeritus
Have you considered that the question may be much more basic than that? Which is the only answer that is a velocity?

3. Apr 19, 2015

### Charles W

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! :)

4. Apr 19, 2015

### Orodruin

Staff Emeritus