In the relation y = acos (ω t - kx), the d

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In the relation $y = a\cos (\omega t - kx)$, the dimensional formula for $k$ is

$[{M^0}{L^{ - 1}}{T^{ - 1}}]$

$[{M^0}L{T^{ - 1}}]$

$[{M^0}{L^{ - 1}}{T^0}]$

$[{M^0}LT]$

In the relation $y = a\cos (\omega t - kx)$, the dimensional formula for $k$ is

$[Kx]$ = Dimension of $\omega t = $(dimensionless)

hence $K = \frac{1}{X} = \frac{1}{L} = \left[ {{L^{ - 1}}} \right]$

$⇒$ $[K] = [{L^{ - 1}}]$

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