Question

When we look into the sky every day we get to see the results of all the behaviors of waves. The blue color of the sky results from the scattering of sunlight by the air molecules. The blue light has a frequency of about 7.5 X 10^14 Hertz. What is the wavelength (nm) of this radiation

Answer 1

λ = 0.4 x 10⁻⁶ m = 400 nm

Step-by-step explanation:

The relationship between frequency, wavelength and speed of an electromagnetic wave is given as follows:

`c = f\lambda`

where,

c = speed of light = 3 x 10⁸ m/s

f = frequency of the light wave = 7.5 x 10¹⁴ Hz

λ = wavelength of the light = ?

Therefore,

`3\ x\ 10^8\ m/s = (7.5\ x\ 10^(14)\ Hz)\lambda\\\\\lambda = (3\ x\ 10^8\ m/s)/(7.5\ x\ 10^(14)\ Hz)`

λ = 0.4 x 10⁻⁶ m = 400 nm