Answer:
The wavelength of electromagnetic wave in free space are 4.28 pm and 20 cm.
Explanation:
Given that,
Frequency [tex]f_{1}=7.00\times10^{19}\ Hz[/tex]
We need to calculate the wavelength
Using formula of wavelength
[tex]\lambda=\dfrac{v}{f}[/tex]
Where, v = velocity
f = frequency
Put the value into the formula
[tex]\lambda=\dfrac{3\times10^{8}}{7.00\times10^{19}}[/tex]
[tex]\lambda=4.28\times10^{-12}\ m[/tex]
[tex]\lambda=4.28\ pm[/tex]
(II). For, frequency [tex]f_{2}=1.50\times10^{9}\ Hz[/tex]
Using formula of wavelength
[tex]\lambda=\dfrac{v}{f}[/tex]
Put the value into the formula
[tex]\lambda=\dfrac{3\times10^{8}}{1.50\times10^{9}}[/tex]
[tex]\lambda=0.2\ m[/tex]
[tex]\lambda=20\ cm[/tex]
Hence, The wavelength of electromagnetic wave in free space are 4.28 pm and 20 cm.