Write the equation of the relation between wave speed $(v)$,angular frequency $(\omega)$,and angular wave number $(k)$.
(N/A) The wave speed $(v)$ of a traveling wave is defined as the product of its frequency $(f)$ and wavelength $(\lambda)$,i.e.,$v = f \lambda$.
We know that angular frequency is given by $\omega = 2\pi f$,which implies $f = \frac{\omega}{2\pi}$.
We also know that the angular wave number is given by $k = \frac{2\pi}{\lambda}$,which implies $\lambda = \frac{2\pi}{k}$.
Substituting these expressions into the wave speed formula:
$v = \left( \frac{\omega}{2\pi} \right) \times \left( \frac{2\pi}{k} \right)$.
Simplifying the expression,we get the relation:
$v = \frac{\omega}{k}$.
We know that angular frequency is given by $\omega = 2\pi f$,which implies $f = \frac{\omega}{2\pi}$.
We also know that the angular wave number is given by $k = \frac{2\pi}{\lambda}$,which implies $\lambda = \frac{2\pi}{k}$.
Substituting these expressions into the wave speed formula:
$v = \left( \frac{\omega}{2\pi} \right) \times \left( \frac{2\pi}{k} \right)$.
Simplifying the expression,we get the relation:
$v = \frac{\omega}{k}$.
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