The velocity of water wave `v` may depend on their wavelength `lambda`, the density of water `rho` and the acceleration due to gravity `g`. The method of dimensions gives the relation between these quantities as

Experiments reveal that the velocity v of water waves may depend on their wavelength lambda , density of water rho , and acceleration due to gravity g . Establish a possible relation between v and lambda , g, rho .

Experiments reveal that the velocity v of water waves may depend on their wavelength lambda , density of water rho , and acceleration due to gravity g . Establish a possible relation between v and lambda , g, rho .

The velocity of the wave v depends upon the wave length, density of water 'd' and acceleration due to gravity g Then :

The wave velocity (v) inside water depends on the wavelength (lambda) of the wave the density ( sigma ) of water and acceleration due to gravity (g). Work out the relation among the quantities from dimensional analysis.

The velocity of a freely falling body is a function of the distance fallen through (h) and acceleration due to gravity g . Show by the method of dimensions that v = Ksqrt(gh) .