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 will use the principle of dimensional homogeneity. Here are the steps to derive the dimension of \( k \):

### Step 1: Understand the Equation
The equation of the wave is given as:
\[ Y = A \sin \left( \omega \left( \frac{x}{v} - k \right) \right) \]
In this equation, \( \omega \) is the angular velocity, \( v \) is the linear velocity, \( x \) is the position, and \( k \) is the term we need to find the dimension for.
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