Question

A wave of frequency $512Hz$ propagates with a speed of $340m{s}^{-1}$. Calculate the wavelength of the wave.

Answer 1

Relationship between Frequency, Velocity and Wavelength:

Step 1: Given Data:

$$\begin{gathered} Frequencyf=512Hz \\ Velocity\left(Speed\right)v=340m{s}^{-1} \end{gathered}$$

Step 2: Formula:

$v=f\times \lambda$

Here,

$$\begin{gathered} v=velocity \\ f=frequency \\ \lambda =wavelength \end{gathered}$$

Step 3: Calculation:

$$\begin{gathered} v=f\times \lambda \\ Hence, \\ \lambda =\frac{v}{f} \\ \lambda =\frac{340m{s}^{-1}}{512Hz} \\ =0.6641m \\ \lambda =0.6641m \end{gathered}$$

Thus, wavelength of wave with frequency $512Hz$ and speed of $340m{s}^{-1}$is $\lambda =0.6641m$.