Showing posts with label visible spectrum. Show all posts
Showing posts with label visible spectrum. Show all posts

Sunday, July 1, 2018

Chapter 13.6 - The Electromagnetic spectrum

In the previous section we saw colour of transparent objects. In this section, we will see the electromagnetic spectrum. We will write the details in steps:

1. We have seen that, the white light is composed of seven colours:
Violet, Indigo, Blue, Green, Yellow, Orange and Red.
2. All these seven coloured lights, travel in the form of waves
3. We have seen some basics about wave motion (Details here)
• The distance between any to consecutive crests is the wave length
4. Consider the red light. The distance between any two consecutive crests of it's wave is approximately 700 nm. 
♦ 'nm' stands for nanometer
♦ One nanometer is (1× 10-9) metre
• So we can see that wave length the red light is very small
5. Similarly, wave length of violet is approximately 400 nm
Let us plot these values on a graph. It is shown in fig.13.19(a) below:
Fig.13.19
• 700 nm is marked on the x axis. At that point red colour is shown
• 400 nm is marked on the x axis. At that point violet colour is shown
6. Normally, as we move from left to right on the x axis, the values increase
• But here, the values decreases. Let us see the reason:
• We know that, wavelength is inversely proportional to frequency
• That is., when wave length decreases, frequency increases.
• So if we consider frequency, the values indeed increase when we move from left to right along the x axis in fig.13.19(a) above
7. The other five colours can be arranged in order between red and violet. 
• This is shown in fig.b above 
8. Now two questions arise:
(i) Is there any wave which has 'wave length greater than 700 nm'? 
(ii) Is there any wave which has 'wave length less than 400 nm'? 
9. The answers:
(i) There are indeed waves which have 'wave length greater than 700 nm'
• But human eyes cannot see 'waves with wave lengths greater than 700 nm'
♦ In other words they are 'invisible waves'
• 'Waves with wave lengths ranging from 1 millimetre to 700 nm' are called infrared waves
• Since those wave lengths are greater than 700 nm, we plot them on the left side of red
• This is shown in fig.13.20(a) below. 
(ii) There are indeed waves which have 'wave length less than 400 nm'
• But human eyes cannot see 'waves with wave lengths less than 400 nm'
♦ In other words, just like infra red, these are also 'invisible waves'
• 'Waves with wave lengths ranging from 400 nm to 1 nm' are called ultraviolet waves
• Since those wave lengths are less than 400 nm, we plot them on the right side of violet
• This is shown in fig.13.20(a) below:
Fig.13.20
10. We know that white light comes from the sun
• The two new waves that we saw (infrared and ultraviolet) also come from the sun 
• So we have a group consisting of three items:
(i) infrared waves
(ii) White light waves
(iii) ultraviolet waves 
11. This group is given a special name: solar spectrum
12 If we allow the 'waves from the sun' to pass through a prism, they will undergo refraction
♦ The components will thus get separated from each other
• But we are not able to see the infrared and ultraviolet waves
• We can see only the seven colours
• So these seven colours together is known as visible spectrum
13. In the fig.13.20(a), the seven colours are shown distinct from each other. This is for a better understanding only.  
• In the actual case, there is a 'gradual gradation' from one colour to the next. An example is shown in fig.13.20(b).  
• The red colour at the extreme left gradually merges into the next colour orange. 
• We can see that the red colour is fading as we move to the right.
• As we move to the right, it becomes more and more orange.
• This indicates that, the wavelength of the red light is not the same everywhere.  
• As we move to the right, the wavelength also decreases.
• Indeed experiments indicate that wavelength of red light varies from 700 to 620 nm
■ Some features of infrared waves:
• When objects are heated, the molecules in them vibrate. Those vibrating molecules emit heat in the form of infrared waves. We cannot see those waves. But we can feel it
• The heat from the sun reaches us in the form of infrared waves
• Infrared waves are used in remote controls and night vision cameras 
■ Some features of visible light:
• Causes sense of vision
• Helps to produce energy by photosynthesis
• Used in solar cells 
■ Some features of ultraviolet waves:
• Exposure to UV rays can cause skin cancer. 
• It can also affect our vision.  
• The UV rays from the sun is absorbed by the ozone layer.  So most of the UV rays do not reach the earth.  
• UV rays in suitable doses can help to produce vitamin D in the skin
14. We have seen that the visible spectrum is a part of the solar spectrum. This is clear from fig.13.20(a) above.
• Now two questions arise:
(i) Is there any wave which has 'wave length greater than 1 mm'? 
(ii) Is there any wave which has 'wave length less than 1 nm'? 
15. The answers:
(i) There are indeed waves which have 'wave length greater than 1 mm' 
• 'Waves with wave lengths ranging from 0.1 m to 1 mm' are called microwaves
• 'Waves with wave lengths greater than 0.1 m are called radiowaves
• Since those wave lengths are greater than 1 mm, we plot them on the left side of infrared
• This is shown in fig.13.21 below.
(ii) There are indeed waves which have 'wave length less than 1 nm' 
• 'Waves with wave lengths ranging from 1 nm to 10-3 nm' are called X-rays
• 'Waves with wave lengths less than 10-3 nm are called Gamma rays
• Since those wave lengths are less than 1 nm, we plot them on the right side of ultraviolet
• This is shown in fig.13.21 below:
Fig.13.21
■ Some features of radio waves:
• Used for very high frequency radio transmission
• Used for Ultra high frequency television transmission
■ Some features of microwaves:
• Used in radar and mobile phone
• Used in microwave oven
■ Some features of x-rays:
• Penetrate through flesh
•  Helps to detect defects of bones breakage of pipes in industries etc
•  Dissociates DNA . Hence excessive exposure causes cancer
■ Some features of gamma rays:
•  Causes damage to living cells
•  Comes out in large quantities during nuclear fission
•  Used in cancer treatment
•  Useful in sterilizing surgical instruments
■ The waves ranging from radio waves to gamma rays is called electromagnetic spectrum  

In the next section, we will see scattering of light.

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Wednesday, June 20, 2018

Chapter 13 - Colours of Light

In the previous chapter we completed a discussion on power transmission and distribution. In this section, we will see colours of light.

• We have learned about refraction of light in a previous chapter. Based on that discussion, we will now see some advanced topics.
• Consider fig.13.1 below. A ray of white light falls on a glass prism.
Fig.13.1 Source: https://en.m.wikipedia.org/wiki/File:Dispersion_prism.jpg
• The ray passes through the prism and emerges from the other side. 
• But the emerging ray is not white. It is composed of different colours. 
• We want to know the reason for the splitting up of white light into different colours. Let us write an analysis. We will write it in steps:
1. First of all, the incident ray should fall on the prism obliquely. 
• 'Obliquely' means, 'at an angle'. This can be explained based on fig.13.2 below:
Fig.13.2
• The magenta line is drawn perpendicular to the surface of the prism. 
• Such a perpendicular is called the 'normal of the surface'. 
• The ray of light should make an angle with the normal. We shall call this angle as 'θ'. This 'θ' can take any value.
• If there is no angle (that is., if θ = 0), then the ray will be passing exactly along the normal. In that case, we will not get different colours.
2. Now consider the black dashed line in the fig.13.2.
• It is the original path of the light. The light should have passed along that line. 
• But it cannot do so. This is because, the glass material of the prism bends the light. 
• We have seen the details when we learned about refraction. 
3. But the glass is not able to bend all lights to the same extent
• Violet is bent more
• Red is bent less
4. The other colours that fall in between are: indigo, blue, green, yellow and orange
• The order of bending can be arranged in decreasing order:
■ Violet, Indigo, Blue, Green, Yellow, Red
■ Because of this difference in bending, components of the white light gets separated from each other.


■ Any light that is composed of more than one colour is called a composite light
■ So we can write: White light is a composite light. 
■ A composite light will undergo dispersion when it passes through a prism.
■ Dispersion is the phenomenon of splitting up of a composite light into it's constituent colours. 
■ The components obtained by dispersion will appear as a regular array. 
■ This regular array of colours is called visible spectrum


Now we will see the reason for 'violet being bent more than red' 
1. Consider the table given below:
• It gives the Wave lengths of different colours.
• We have seen some basics about waves in an earlier chapter (Details here)
2. Wave lengths are arranged in ascending order. 
• We can see that, the violet which undergoes most bending is at the top of the list. 
• Red which undergoes least bending is at the bottom of the list.
3. So we can write:
• The deviation from the original path depends on the wave length of the colour
• The colour which has more wave length deviates less
• The colour which has less wave length deviates more
• The other colours fall in between in regular order.


Light undergoes refraction when it enters the prism obliquely and when it comes out of the prism.  The extent of deviation depends on the wavelength.  Therefore waves undergo deviation at different angles and get separated.  This is the reason for dispersion.

The formation of rainbows in the sky can be explained based on dispersion. We will see it in the next section.

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