Question

The velocity of water waves may depend on their wavelength ${\lambda }_2$ the density of water $\rho$ and the acceleration due to gravity g. The method of dimensions gives between these quantities as

• A. $V^2=k{\lambda }^{-1}{g}^{-1}{\rho }^{-1}$
• B. $V^2=kg\lambda$
• C. $V^2=kg\lambda \rho$
• D. $V^2=k{\lambda }^3{g}^{-1}{\rho }^{-1}$

Answer 1

The correct option is B $V^2=kg\lambda$