Question

The wavelength of light that has a frequency of $1.20\times {10}^{13}{s}^{-1}$ is __________ m

Answer 1

Step1: Given that

Frequency of the light = $f$ = $1.20\times {10}^{13}{s}^{-1}$

Speed of light = $c$ = $3\times {10}^{8}m/s$

Step2: Formula used -

$c=f\times \lambda$

Where,

$c$ = velocity of light

$f$ = frequency of light

$\lambda$= wavelength of the light

Step3: Finding the wavelength of the light

$$\begin{gathered} c=f\times \lambda \\ \lambda =\frac{c}{f} \\ \lambda =\frac{3\times {10}^8}{1.2\times {10}^{13}} \\ \lambda =2.5\times {10}^{-5}m \end{gathered}$$

Hence, The wavelength of the given light is $2.5\times {10}^{-5}m$