Speed of Surface Waves on Deep Water: G, D, λ

[coldpay]

Homework Statement

the speed of surface waves on deep water might depend on the gravitational acceleration has a constant magnitude g,density of water d,and the wavelength of the wave λ.Which one of the following could be how this speed depends on these parameters?(hint:use the dimesional analysis)

there are options for V speed.
the answer is V=√gλ

Homework Equations

The Attempt at a Solution

This was my exam question and i couldn't solve it.Still i have no idea how to solve it. :)

 

[rock.freak667]

If the units of g is m/s² and λ is m. Then what is the units of gλ? (Hint: The unit of force x distance = N x m = Nm, use a similar idea to get the combined unit).

After you get the unit, just raise it to the power of 1/2. Treat the m and s like an indicies type problem.

 

[coldpay]

thanks :)