Question

Light of a certain color has a wavelength of 4.8 x 10-7m. Determine the frequency and color of the light wave.

Answer 1

The frequency is $6.3\cdot 10^{14}$ and it is blue light

Explanation:

The relationship between the speed, the frequency and the wavelength of an electromagnetic wave is given by:

$c=f \lambda$

where

$c=3.0\cdot 10^8 m/s$ is the speed of light

f is the frequency of the wave

$\lambda$ is its wavelength

In this problem, the wavelength of the wave is

$\lambda = 4.8\cdot 10^{-7} m$

Therefore, its frequency is:

$f=\frac{c}{\lambda}=\frac{3.0\cdot 10^8}{4.8\cdot 10^{-7}}=6.3\cdot 10^{14} Hz$

The wavelength of this wave is

$\lambda = 480 nm$

And by looking at the table of the wavelengths of the colors, we notice that this corresponds to the blue light, which has a range of wavelength of

[450 - 495] nm

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