The velocity of water waves $v$ may depend upon 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 waves $v$ may depend upon 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
- A
${v^2} \propto \lambda {g^{ - 1}}{\rho ^{ - 1}}$
- B
${v^2} \propto g\lambda \rho $
- C
${v^2} \propto g\lambda $
- D
${v^2} \propto {g^{ - 1}}{\lambda ^{ - 3}}$
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