Tracing the Path of the Rays of Light through a Glass Prism

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Collegedunia Team

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Prism is a triangular, transparent, optical object used primarily to study the movement and behaviour of a white light and its separation into a spectrum of light. When a light passes through a glass prism, due to some scientific phenomenon, it changes its direction and produces a colourful band of light emerging from the other side of the prism.This phenomenon is known as the refraction and dispersion of light. The incident ray, refracted ray and the emergent ray are the important particulars of this experiment.

Read Also: Difference Between Reflection and Refraction

Key Terms: Glass Prism, Refraction, Dispersion, Wavelengths, Incident Ray, Refracted Ray, Emergent Ray.


What is a Prism?

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A Prism is a transparent optical object usually made of glass. A prism is in the shape of a pyramid deriving its name from the geometric prism as shown in the figure with two triangular bases and three rectangular lateral surfaces, inclined at an angle which is called the angle of the prism. 

Angle of the prism, also known as the refracting angle, is the angle made by any two refracting surfaces of the prism with each other. For an equilateral prism, the refracting angle is an acute angle of sixty degrees. When light is made to pass through a prism, these refracting surfaces separate this white light into a spectrum of colours. This process is known as Dispersion of Light.

What is a Prism?

What is Refraction of Light?


What is Refraction of Light?

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Refraction is the phenomenon in which there is a change in the direction of a wave or a propagation of light when passing from one medium to another due to its change in speed.

To put simply, when light is made to travel from one medium to another, its speed changes due to factors such as density of the mediums, causing it to slow down and thus change its direction. Therefore, when light travels from air and passes through the prism glass, its speed changes due to the difference between the refraction index of air and glass causing the light to bend. 

Fun Fact: The different colours of the spectrum of light have different wavelengths respectively. Therefore, each colour or band of light refract differently. The colour with longer wavelength refracts or bends lesser, whereas, the colour with a shorter wavelength bends more. Thereby, when light passes through a glass prism, the colour violet having the shortest wavelength bends the most and the colour red bends the least as it has the longest wavelength.

Examples- Refraction is a common phenomenon that we witness in our daily lives. Some examples are twinkling of stars due to light refracting as it passes through various layers of the atmosphere, occurrence of rainbows, experiences of mirage, etc.

What is Refraction of Light

What is Refraction of Light

Read Also: Advanced Sunrise and Delayed Sunset 


Difference Types of Angles formed in Prism

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Different Types of Angles

According to Snell’s Law, when light travels from a rarer medium to a denser medium it bends towards the normal, and vice versa. Thus, when light passes from air to the prism glass it bends towards the normal, glass being denser than air. In the above figure, the incident ray PE is falling on the surface AB of the prism glass at the point E and is getting refracted towards the normal NE.

Similarly, after travelling through the glass the refracted ray travels from glass to air and due to change in density, the emergent ray FS bends away from the normal.

  1. The bending of the light depends upon the angle of incidence, normal and refractive indices.
  2. The angles that are formed during the experiment in the prism are the angle of incidence at point ‘P’, angle of emergence at point ‘Q’, the angle of prism at point ‘A’ and the angle of deviation at point ‘D’.
  3. The angle formed between the incident ray and the emergent ray is called the angle of deviation.
  4. Angle of deviation depends on the angle of the prism, angle of incidence, and material of the prism.


Experiment

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Objective - To trace the path of the rays of light through a glass prism.

Materials Required

  • A white sheet
  • Soft Board
  • Thumb pins
  • 4-6 all pins
  • Prism
  • Pencil
  • Scale
  • Protractor
  • Drawing board

Procedure

  1. Paste a white sheet on top of the soft board using the thumb pins.
  2. Place the glass prism on top of the paper with its triangular base resting on the paper and draw the outline of the prism using a pencil. Mark the boundary points as A, B and C. Remove the prism.
  3. Draw a normal or a perpendicular line NEN’ at E on the surface AB of the prism. Then, draw a line PE making the angle PEB of 30 degrees to the normal. PE is the incident ray on surface AB.
  4. Now, on the line PE mark two points P and Q at a distance of 5 cm from each other and fix them with pins.
  5. Place the prism back on the paper on the assigned points ABC and try to see the points P and Q from the other opposite side of the prism on the surface AC.
  6. Now, with that view, fix the points R and S in such a way that it appears to be vertically on the same straight line as P and Q from the surface AC side of the prism.
  7. Remove the prism and all the pins and mark the points of P, Q, R and S.
  8. Now, join the points R and S and then extend the line RS upto the refracting side of the prism AC to meet at the point F. The line FS now represents the emergent ray.
  9. Now join the points E and F, making the line EF the path of the refracted ray.
  10. Now we can repeat the experiment with different degrees of incident ray ranging from 30 degrees to 60 degrees.

Read Also: Refraction At Spherical Surfaces and By Lenses

Observation

We observe that:

  1. On the surface AB, the ray of light passes from air to glass resulting in a bend towards the normal after refraction.
  2. And on the surface AC, the ray of light travels from glass to air and hence bends away from the normal due to difference in density of the mediums
  3. We can see that the emergent ray bends at an angle towards the incident ray forming the angle of deviation.

Result

The path PEFS represents the path of the light passing through the prism.

Conclusion

  1. The incident ray bends towards the normal when entering the glass prism, and conversely it bends away from the normal during exit from the prism.
  2. When angle of incidence increases, simultaneously the angle of deviation decreases upto the minimum value. After attaining the minimum value, it increases with an increase in incidence angle.

Read Also: Interference of light waves and young's experiment


Precautions

  1. Make sure that the pins are fixed at the correct point and in a straight line.
  2. Use a good and sharp pencil to draw the boundary of the prism.
  3. Hold the prism firmly while doing the experiment for accurate results.
  4. Maintain a minimum distance of 5 cm between the points.
  5. Draw and mark arrows properly to indicate the directions of incident ray, refracted ray and the emergent ray.
  6. The angle of incidence should be within 30 degrees and 60 degrees and must not exceed above that.
  7. The surface of the glass prism should be flat, smooth and transparent for proper experiment. 

Things to Remember

  1. Prism is a transparent optical instrument used to study behaviour of white light.
  2. Prism consists of two triangular bases and three rectangular surfaces.
  3. Dispersion of Light is the process of white light separating into a spectrum of colours when passed through a prism.
  4. Refraction is the phenomenon of change in direction of a wave of light due to change in speed and density. 
  5. Refraction through a prism forms various angles- angle of incidence, angle of prism, ang of emergence and angle of deviation.
  6. The rays that pass through the prism are known as the incident ray, refracted ray and emergence ray.

Read Also: Difference Between Echo and Reverberation


Sample Questions

Ques. What is a prism? Who was the first person to experiment with a glass prism and why?  ( 2 marks)

Ans. A prism is a triangular, transparent, optical object used primarily to study the movement and behaviour of a white light.

Sir Isaac Newton was the first person to use a glass prism to study the phenomenon of refraction and dispersion of light by letting sunlight pass through the prism and observe and understand the process of dispersion of this light into a spectrum of colours.

Ques. What is a Refractive Index?   (1 mark)

Ans. Refractive Index is the ratio between the angle of Incident ray ‘i’ in vacuum and the angle of refracted ray ‘r’ in any given medium. Refractive index can be represented mathematically as 

n= sin i/sin r .

Ques. “The refractive index of diamond is 2.42”. What is the meaning of this statement in relation to the speed of light? [Delhi]  (1 mark)

Ans. As we know,

v=c/n,

Where, "c" is the speed of light in a vacuum, "v" is the speed of light in that substance and "n" is the index of refraction.

Therefore, n=2.42 means that the speed of light in diamond is  1/2.42  times the speed of light in free space.

Read Also: Class 12 Total Internal Reflection

Ques. Define the process of Dispersion of Light.   (1 mark)

Ans. When light is made to pass through a prism, these refracting surfaces separate this white light into a spectrum of colours. This process is known as Dispersion of Light.

Ques. Define:  ( 3 marks)
(1) Angle of Prism
(2) Angle of Refraction
(3) Angle of Emergence

Ans.

  1. Angle of Prism- It is the angle of inclination formed between the any two rectangular refracting faces of the prism.
  2. Angle of Refraction- The angle formed between the refracted ray and the normal at the first refracting face or side of the prism is called the angle of refraction.
  3. Angle of Emergence- The angle formed between the emergent ray and normal at the second refracting face of the prism is called the angle of emergence.

Ques. What are the factors on which the angle of deviation is dependent on?  [NCERT] (2 mark)

Ans. The angle of deviation is dependent on the following factors:

  1. angle of the prism, 
  2. angle of incidence, 
  3. and the behaviour of the material of the prism.

Ques. If the emergent ray makes an angle of 40° with the second refracting surface of the prism, what is the angle of emergence?  (1 mark)

Ans. The angle of the emergence, is calculated as:

∠e = 90° – 40° = 50°.

Read Also: Relation Between Phase Difference and Path Difference

Ques. Explain in brief what happens when a wave of incident ray enters a glass prism? (2 marks)

Ans. When an incident ray falls on the surface of a glass prism, it gets refracted for the first time and bends toward the normal. This refracted ray then goes out of the prism and gets refracted again by moving away from the normal, This ray is then called the emergent ray.

Ques. A ray of light travelling in air enters obliquely into water. Does the light ray bend towards the normal or away from the normal? Why? [NCERT]   (2 marks)

Ans. According to Snell's law of refraction, when a ray of light travels from a rarer medium ( in this case, air) to a denser medium (water), it bends towards the normal.

Therefore, when a ray of light travels from air into water obliquely, it bends towards the normal as the speed of light decreases.

Ques. Explain the process of formation of a rainbow.  (1 mark)

Ans. A rainbow is formed by the dispersion of white sunlight by raindrops or water drops. As the sunlight enters and leaves the raindrops, the ray is refracted and gets dispersed into a spectrum of colourful rays forming the rainbow.

Read Also: Transmission, Adsorption and reflection of light

Ques. Define angle of deviation.   [NCERT]   (1 mark)

Ans. The angle formed between the incident ray produced in the forward direction and the emergent ray produced in the backward direction is called the angle of deviation.

Ques. Why does the white light not split into different colours when it passes through a glass slab?  [NCERT]  (1 mark)

Ans. For white light to pass through a glass slab or a glass prism and split into different colours, it should get refracted not once, but twice. It first travels from air to glass and then from glass to air. But in the case of a glass slab, all the light rays slow down and speed up at the same rate because both the surfaces are parallel. And hence, to an observer, it would seem as if white light has entered and left the slab. 

Ques. When we place a glass prism in the path of a narrow beam of white light, a spectrum is obtained. What happens when a second identical prism is placed in an inverted position with respect to the first prism?   [NCERT]  (1 mark)

Ans. When a beam of white light passes through a glass prism it gets dispersed into a band of seven different colours due to the phenomenon of refraction. When a second identical prism is placed in an inverted position, it performs the inverse effect of dispersion and recombines all the different colours to produce back the white light.

Ques. State the laws of refraction of light.  [NCERT]  (2 Marks)

Ans. The laws of refraction of light are-

 (i) The incident ray, the refracted ray and the normal to the interface of two transparent media at the point of incidence, all lie in the same plane.

(ii) The ratio of sine of angle of incidence to the sine of angle of refraction is a constant, for the light of a given colour and for the given pair of media. This law is also known as Snell’s law of

Refraction.

Read Also: 

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