What is the frequency (in reciprocal seconds) of electromagnetic radiation with a wavelength of 1.07 cm?
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)
Answer : The frequency of electromagnetic radiation will be \(2.804\times 10^{10}s^{-1}\)
Explanation :
As we are given the wavelength = 1.07 cm
conversion used : \((1m=100cm)\)
So, wavelength is \(1.07\times 10^{-2}m\)
The relation between frequency and wavelength is shown below as:
\(Frequency=\frac{c}{Wavelength}\)
Where, c is the speed of light having value = \(3\times 10^8m/s\)
So, Frequency is:
\(Frequency=\frac{3\times 10^8m/s}{1.07\times 10^{-2}m}\)
\(Frequency=2.804\times 10^{10}s^{-1}\)
Therefore, the frequency of electromagnetic radiation will be \(2.804\times 10^{10}s^{-1}\)