# Colour and light  (Page 2/3)

 Page 2 / 3

The wavelength of green light ranges between 500 nm an d 565 nm. Calculate the range of frequencies that correspond to this range of wavelengths.

1. Use

$c=f×\lambda$

to determine $f$ .

2. $\begin{array}{ccc}\hfill c& =& f×\lambda \hfill \\ \hfill f& =& \frac{c}{\lambda }\hfill \\ & =& \frac{3×{10}^{8}\phantom{\rule{0.166667em}{0ex}}\mathrm{m}·{\mathrm{s}}^{-1}}{565×{10}^{-9}\phantom{\rule{0.166667em}{0ex}}\mathrm{m}}\hfill \\ & =& 5,31×{10}^{14}\phantom{\rule{0.277778em}{0ex}}\mathrm{Hz}\hfill \end{array}$
3. $\begin{array}{ccc}\hfill c& =& f×\lambda \hfill \\ \hfill f& =& \frac{c}{\lambda }\hfill \\ & =& \frac{3×{10}^{8}\phantom{\rule{0.166667em}{0ex}}\mathrm{m}·{\mathrm{s}}^{-1}}{500×{10}^{-9}\phantom{\rule{0.166667em}{0ex}}\mathrm{m}}\hfill \\ & =& 6,00×{10}^{14}\phantom{\rule{0.277778em}{0ex}}\mathrm{Hz}\hfill \end{array}$
4. The range of frequencies of green light is $5,31×{10}^{14}\phantom{\rule{0.277778em}{0ex}}\mathrm{Hz}$ to $6,00×{10}^{14}\phantom{\rule{0.277778em}{0ex}}\mathrm{Hz}$ .

## Calculating wavelengths and frequencies of light

1. Calculate the frequency of light which has a wavelength of 400 nm. (Remember to use S.I. units)
2. Calculate the wavelength of light which has a frequency of $550×{10}^{12}$ Hz.
3. What colour is light which has a wavelength of $470×{10}^{-9}$ m and what is its frequency?
4. What is the wavelength of light with a frequency of $510×{10}^{12}$ Hz and what is its color?

## Dispersion of white light

White light, like the light which comes from the sun, is made up of all the visible wavelengths of light. In other words, white light is a combination of all the colours of visible light.

You learnt that the speed of light is different in different substances. The speed of light in different substances depends on the frequency of the light. For example, when white light travels through glass, light of the different frequencies is slowed down by different amounts. The lower the frequency, the less the speed is reduced which means that red light (lowest frequency) is slowed down less than violet light (highest frequency). We can see this when white light is incident on a glass prism.

Have a look at the picture below. When the white light hits the edge of the prism, the light which travels through the glass is refracted as it moves from the less dense medium (air) to the more dense medium (glass).

• The red light which is slowed down the least , is refracted the least .
• The violet light which is slowed down the most , is refracted the most .

When the light hits the other side of the prism it is again refracted but the angle of the prism edge allows the light to remain separated into its different colours. White light is therefore separated into its different colours by the prism and we say that the white light has been dispersed by the prism.

The dispersion effect is also responsible for why we see rainbows. When sunlight hits drops of water in the atmosphere, the white light is dispersed into its different colours by the water.

## Addition and subtraction of light

The primary colours of light are red , green and blue . When all the primary colours are superposed (added together), white light is produced. Red, green and blue are therefore called the additive primary colours . All the other colours can be produced by different combinations of red, green and blue.

## Subtractive primary colours

The subtractive primary colours are obtained by subtracting one of the three additive primary colours from white light. The subtractive primary colours are yellow , magenta and cyan . Magenta appears as a pinkish-purplish colour and cyan looks greenish-blue. You can see how the primary colours of light add up to the different subtractive colours in the illustration below.

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