Question

The equation of a wave is given by $Y=Asin\omega (\frac{x}{v}-k)$ where $\omega$ is the angular velocity and $v$ is the linear velocity. The dimensions of $k$ is ?

• A. $[LT]$
• B. $[T]$
• C. $\left[T^{-1}\right]$
• D. $\left[T^2\right]$

Answer 1

Answer: (B)

$[T]$

Since terms being added/subtracted have same dimensions, thus $|k|=|\frac{x}{v}|=\frac{L}{L{T}^{-1}}=\left[T\right]$.