Question

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

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

Answer 1

The correct option is B $\left[T\right]$

$\frac{x}{v}$ have the same dimension as of $k$.

$\therefore$Dimension formula of $k=\frac{\left[L\right]}{\left[L{T}^{-1}\right]}=\left[T\right]$