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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

Answer the following question. Under what conditions are total internal reflection possible? Explain it with a suitable example.

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प्रश्न

Answer the following question.

Under what conditions are total internal reflection possible? Explain it with a suitable example.

थोडक्यात उत्तर
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उत्तर

Conditions for total internal reflection:

  1. The light ray must travel from denser medium to rarer medium.
  2. The angle of incidence in the denser medium must be greater than critical angle for the given pair of media.

Total internal reflection in optical fibre:

  1. Consider an optical fibre made up of the core of refractive index n1 and cladding of refractive index n2 such that, n1 > n2.
  2. When a ray of light is incident from a core (denser medium), the refracted ray is bent away from the normal.
  3. At a particular angle of incidence ic in the denser medium, the corresponding angle of refraction in the rarer medium is 90°.
  4. For angles of incidence greater than ic, the angle of refraction becomes larger than 90° and the ray does not enter into the rarer medium at all but is reflected totally into the denser medium as shown in the figure.
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पाठ 9: Optics - Exercises [पृष्ठ १८५]

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संबंधित प्रश्‍न

Name the factors affecting the critical angle for the pair of media.


State the relation between the critical angle and the absolute refractive index of a medium.


Which colour of light has a higher critical angle? Red light or green light.


One day Chetan’s mother developed a severe stomach ache all of a sudden. She was rushed to the doctor who suggested for an immediate endoscopy test and gave an estimate of expenditure for the same. Chetan immediately contacted his class teacher and shared the information with her. The class teacher arranged for the money and rushed to the hospital. On realizing that Chetan belonged to a below average income group family, even the doctor offered concession for the test fee. The test was conducted successfully.

Answer the following questions based on the above information:

(a) Which principle in optics is made use of in endoscopy?

(b) Briefly explain the values reflected in the action taken by the teacher.

(c) In what way do you appreciate the response of the doctor on the given situation?


(a) A ray of monochromatic light enters glass PQRS as shown in the fig. Complete the path of ray till it emerges from the glass. (Critical angle of glass is 420). 

(b) Draw diagram of a prism periscope.
(c) What are the advantages of total internal reflecting prism over plane mirror?


In the following figure, show two rays A and B travelling from water to air. If the critical angle for water- air surface is 48°, complete the ray diagram showing the refracted rays for each. State conditions when the ray will suffer total internal reflection.


How does a ray of light bend when it travels from rarer to denser medium


Can light be ‘piped’ like sound in a doctor’s stethoscope?


Write down the relationship between the critical angle and the refractive index of the medium.


State one factor on which a critical angle for a given pair of media depends. The critical angle for the glass-air interface is 45° for the yellow light. Will it be equal to, less than or greater than 45° for (i) red light, (ii) blue light?


How is the critical angle of a material related to its refractive index?


What is meant by the term ‘critical angle’?


The adjacent diagram shows two right-angled isosceles prisms A and B. Complete the diagram to show the path of rays P and Q emerging out of the prism B. What principles have you used to complete the diagram?


Complete the following diagram to show the path of the ray of a single colour in the diagram as if enters in and emerges out of the prism. Mark the angles wherever necessary. (Critical angle for glass = 42°).


A ray of light is incident on a glass surface at an angle of 50° with the corresponding angle of refraction 30°. Find the value of the R.I. of glass.


A ray of light is incident as a normal ray on the surface of separation of two different mediums. What is the value of the angle of incidence in this case?


Choose the correct option.

Consider the following phenomena/ applications: P) Mirage, Q) rainbow, R) Optical fibre and S) glittering of a diamond. Total internal reflection is involved in


A spherical marble, of refractive index 1.5 and curvature 1.5 cm, contains a tiny air bubble at its centre. Where will it appear when seen from outside?


Which of the following is not involved in formation of a rainbow?


Answer the following question.

Define the critical angle of incidence and obtain an expression for it.


Describe the construction and working of an optical fibre.


Solve Numerical example.

From the given data set, determine angular dispersion by the prism and dispersive power of its material for extreme colours. nR = 1.62 nV = 1.66, δR = 3.1°


For the same angle of incidence, the angle of refraction in four media A, B, C and D are 25°, 30°, 35° and 40° respectively. The speed of light is least in medium ______.


Which one of the following is NOT the correct formula for refractive index of glass w.r.t. air (aμg) (i = angle of incidence, r = angle of refraction)


For total internal reflection to take place, the angle of inddence i and the refractive index µ of the medium must satisfy the inequality ____________.


Optical fibre communication uses the principle of ______.


The twinkling effect of star light is due to ______.


A particle is projected such that the horizontal range and vertical height are equal. Then the angle of projection is :


The entire light is reflected back into the denser medium is called ______.


Optical Fibres are based on the phenomenon of dispersion.


What is a mirage? How does it occur?


What is the phenomenon used in optical fiber? Explain.


A green light is incident from the water to the air-water interface at the critical angle (θ). Select the correct statement. 


A jar of height h is filled with a transparent liquid of refractive index µ (Figure). At the centre of the jar on the bottom surface is a dot. Find the minimum diameter of a disc, such that when placed on the top surface symmetrically about the centre, the dot is invisible.


A Rainbow is a beautiful natural phenomenon formed because of the following:


A ray of light passes through a prism of refractive index `sqrt2` as shown in the figure. Find:

  1. The angle of incidence (∠r2) at face AC.
  2. The angle of minimum deviation for this prism.

A ray of light passes from vacuum into a medium of refractive index µ, the angle of incidence is found to be twice the angle of refraction. Then the angle of incidence is ______.


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