Question

What is the relation between frequency and wavelength?

Answer 1

Step 1: Definition

1. The distance between the crests as well as troughs of a wave motion has been specified as the wavelength of light. It is denoted by $\mathrm{\lambda }$.
2. A repeated event seems to be the number of observations per time interval is called frequency. It is denoted by $\mathrm{f}$ and measured in $\mathrm{hertz}\left(\mathrm{Hz}\right)$

Step 2: Finding the relation between frequency and wavelength

We know the formula of frequency,

$\mathrm{f}=\frac{1}{\mathrm{t}}$

The distance traveled by a wave per unit of time would be described as its wave speed (v). If we suppose that perhaps the wave traverses one wavelength throughout one time.

then,

$\mathrm{\nu }=\frac{\mathrm{\lambda }}{\mathrm{T}}$

As we know that $\mathrm{T}=\frac{1}{\mathrm{f}}$,

Hence we can express the above equation as,

$\mathrm{V}=\mathrm{f\lambda }$

The wave speed is approximately equivalent to the product of its frequency as well as wavelength, implying the frequency-wavelength connection.

Therefore, the relation between frequency and wavelength is $\mathrm{V}=\mathrm{f\lambda }$.