Respuesta :
If the electromagnetic radiation is travelling in vacuum, the velocity of the wave should be 3×10^8 m/s
Using the wave formula,
Velocity=wavelength×frequency,
frequency=(3×10^8)/(0.0107)
Using the wave formula,
Velocity=wavelength×frequency,
frequency=(3×10^8)/(0.0107)
Answer : The frequency of electromagnetic radiation will be [tex]2.804\times 10^{10}s^{-1}[/tex]
Explanation :
As we are given the wavelength = 1.07 cm
conversion used : [tex](1m=100cm)[/tex]
So, wavelength is [tex]1.07\times 10^{-2}m[/tex]
The relation between frequency and wavelength is shown below as:
[tex]Frequency=\frac{c}{Wavelength}[/tex]
Where, c is the speed of light having value = [tex]3\times 10^8m/s[/tex]
So, Frequency is:
[tex]Frequency=\frac{3\times 10^8m/s}{1.07\times 10^{-2}m}[/tex]
[tex]Frequency=2.804\times 10^{10}s^{-1}[/tex]
Therefore, the frequency of electromagnetic radiation will be [tex]2.804\times 10^{10}s^{-1}[/tex]