Physics

# The equation of a wave is given by $y=a sin\omega \left (\dfrac {x}{v}-k\right )$, where $\omega$ is angular velocity and $v$ is linear velocity. The dimensions of $K$ will be

$[T]$

##### SOLUTION
The quantity $\left (\dfrac {\omega x}{v}-\omega k\right )$ inside the sine function has dimension of angle and hence $\omega k$ is dimensionless being angle.
But $[\omega ]$ $=[T^{-1}]$, therefore $[k]=[T]$

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Single Correct Medium Published on 18th 08, 2020
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