The velocity of water waves v may depend upon their wavelength λ , the density of water ρ and the acceleration due to gravity g . The method of dimensions gives the relation between these quantities a

Question

The velocity of water waves v may depend upon their wavelength λ , the density of water ρ and the acceleration due to gravity g . The method of dimensions gives the relation between these quantities as

TestHub · Accepted Answer

Let v x = k g y λ z ρ δ . Now by substituting the dimensions of each quantities and equating the powers of M , L and T we get δ = 0 and x = 2 , y = 1 , z = 1 .

Physics - Unit & Dimension Question with Solution | TestHub

Options:

Doubts & Discussion