Answer:
The frequency of infrared wave is 35.385 GHz
Explanation:
Given data:
Wavelength of infrared light = 8.45 mm = 8.45 x [tex]10^{-3}[/tex] m
Velocity of infrared light = 2.99 x [tex]10^{8}[/tex] m/s
To find: frequency of the infrared wave = ?
We know that the wavelength and frequency are inversely proportional and the formula to derive frequency with velocity and wavelength is:
c = μλ, where
c is velocity of light
μ is frequency of light
λ is wavelength of light
Hence the frequency of light μ = c/λ
= [tex]\frac{2.99 x 10^{8} m/s }{8.45 x 10^{-3}m }[/tex]
= [tex]\frac{299}{8.45}[/tex] x [tex]10^{9}[/tex] [tex]s^{-1}[/tex]
= 35.385 x [tex]10^{9}[/tex] Hz (since 1 [tex]s^{-1}[/tex] = 1 Hz)
= 35.385 GHz
