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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