Question

The equation of a wave is given by $y= A \sin \omega\left(\frac{x}{v}=k\right)$, where $\omega$ is angular velocity, $v$ be linear velocity. Then dimension off $c$ is

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

Answer 1

Answer: (B)

$y=\sin \omega\left(\frac{x}{v}-k\right)$ Comparing this equation with $y=A \sin \omega\left(\frac{x}{v}-t\right)$ Dimension of
$k =$ dimension of $t$
$=[T]$