The equation of a wave is given by $Y\ = \ A\sin\omega\left( \begin{array}{r} \frac{x}{\upsilon} - k \ \ \end{array} ight)$ where $\omega$ is the angular velocity and $\upsilon$ is the linear velocity. The dimension of $k$ is

Question

The equation of a wave is given by $Y\ = \ A\sin\omega\left( \begin{array}{r} \frac{x}{\upsilon} - k \ \ \end{array} ight)$ where $\omega$ is the angular velocity and $\upsilon$ is the linear velocity. The dimension of $k$ is

Dr. Abubacker · Accepted Answer

From the principle of homogenity $\left( \frac{x}{v} \right)$ has dimensions of $T$

Q. The equation of a wave is given by $Y\ = \ A\sin\omega\left( \begin{array}{r} \frac{x}{\upsilon} - k \\ \ \end{array} \right)$ where $\omega$ is the angular velocity and $\upsilon$ is the linear velocity. The dimension of $k$ is

Explanation

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