In the relation $y = a\cos (\omega t - kx)$, the dimensional formula for $k$ is
$[{M^0}{L^{ - 1}}{T^{ - 1}}]$
$[{M^0}L{T^{ - 1}}]$
$[{M^0}{L^{ - 1}}{T^0}]$
$[{M^0}LT]$
if Energy is given by $U = \frac{{A\sqrt x }}{{{x^2} + B}},\,$, then dimensions of $AB$ is
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
What is Dimensional Analysis ? State uses of Dimensional Analysis.