The equation of a wave is given by `Y = A sin omega ((x)/(v) - k)`, where `omega` is the angular velocity and `v` is the linear velocity. Find the dimension of `k`.

Explanation

To find the dimension of \( k \) in the wave equation \( Y = A \sin \left( \omega \left( \frac{x}{v} - k \right) \right) \), we need to ensure that the argument of the sine function is dimensionless. Let's break down the solution step by step:

### Step 1: Understand the Argument of the Sine Function
The argument of the sine function is given by:
\[ \omega \left( \frac{x}{v} - k \right) \]
For this entire expression to be dimensionless, both \( \frac{x}{v} \) and \( k \) must have the same dimensions.
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