Question

What are the wavelengths of electromagnetic wave in free space that have the following frequencies?

Answer 1

Explanation:

Given that,

(a) Frequency, $f_1=4\times 10^{19}\ Hz$

All electromagnetic wave moves with the speed of light. It is given by :

$c=f\lambda$

$\lambda_1=\dfrac{c}{f_1}\\\\\lambda_1=\dfrac{3\times 10^8}{4\times 10^{19}}\\\\\lambda_1=7.5\times 10^{-12}$

(b) Frequency, $f_2=5.5\times 10^{1=9}\ Hz$

All electromagnetic wave moves with the speed of light. It is given by :

$c=f\lambda$

$\lambda_2=\dfrac{c}{f_2}\\\\\lambda_2=\dfrac{3\times 10^8}{5.5\times 10^{9}}\\\\\lambda_2=0.054\ m$

Hence, this is the required solution.