The equation of a wave is given by y = a sin ω ( v x − k ) where, ω is angular velocity and v is the linear velocity. The dimensions of k will be

ωk is dimensionless (the argument of sine), so [ k ] = [ ω 1 ] = [ T ] .

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PhysicsUnit & DimensionMiscellaneousMedium2 minQB

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The equation of a wave is given by $y = a sin ω (\frac{x}{v} - k)$ where, $ω$ is angular velocity and $v$ is the linear velocity. The dimensions of $k$ will be

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Solution:

$ωk$ is dimensionless (the argument of sine), so
$[k] = [\frac{1}{ω}] = [T]$ .

Stream:JEESubject:PhysicsTopic:Unit & DimensionSubtopic:Miscellaneous

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