Question

What is the relation between frequency, wavelength and wave velocity of a wave?

Answer 1

1. Wavelength is the distance traveled by the wave in one time period, i.e., in T second.
2. Wavelength = Wave velocity x Time period, $\lambda =v\times T$
3. We know that the frequency and time period are inversely proportional to each other, $frequency\left(n\right)=\frac{1}{Timeperiod\left(T\right)}$
4. $$\begin{gathered} \lambda =v\times \frac{1}{n} \\ \Rightarrow \lambda =\frac{v}{n} \\ \Rightarrow v=n\lambda \end{gathered}$$
5. Therefore, Wave velocity $\left(\nu \right)$ = Frequency $\left(n\right)$ x wavelength $\left(\lambda \right)$