In relation y = acos (omega t - kx) , dimensional formula for k is

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1.Units, Dimensions and Measurement

easy

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

A

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

B

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

C

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

D

$[{M^0}LT]$

Solution

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

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

$⇒$ $[K] = [{L^{ – 1}}]$

Standard 11

Physics

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