A capillary wave is a wave traveling across the surface of a fluid that is driven by the surface tension within the fluid.  The speed v of a capillary wave depends on the density of the fluid ?ρ , the wavelength of the wave ?λ, and the surface tension ?σ .  The SI units of surface tension are J/m2.  The capillary wave speed can be written as  ?=???????v=kσaρbλc  , where k is some unitless constant.  What must be the value of c?

A capillary wave is a wave traveling across the surface of a fluid that is driven by the surface tension within the fluid.  The speed v of a capillary wave depends on the density of the fluid ?ρ , the wavelength of the wave ?λ, and the surface tension ?σ .  The SI units of surface tension are J/m².  The capillary wave speed can be written as 

?=???????v=kσaρbλc  ,

where k is some unitless constant.  What must be the value of c?