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 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

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

What do you understand by gravity and acceleration due to gravity. Establish a relation between g and G .

The velocity of water waves (v) may depend on their wavelength lamda , the density of water rho and the acceleration due to gravity g. The method of dimensions gives the relation between these quantities as v^(2)=kg^(x)lamda^(x)rho^(y) . The value of x is (Here k is a constant).

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.