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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

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

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प्रश्न

Answer the following question.

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

टीपा लिहा
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उत्तर

  • The critical angle for a pair of refracting media can be defined as that angle of incidence in the denser medium for which the angle of refraction in the rarer medium is 90°.
  • Let n be the relative refractive index of a denser medium with respect to the rarer.
  • Then, according to Snell’s law,
    n = `"n"_"denser"/"n"_"rarer"=(sin"r")/(sin"i"_"c")=(sin90°)/(sin"i"_"c")`
    ∴ sin (ic) = `1/"n"`
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पाठ 9: Optics - Exercises [पृष्ठ १८५]

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बालभारती Physics [English] Standard 11 Maharashtra State Board
पाठ 9 Optics
Exercises | Q 2. (ix) | पृष्ठ १८५

व्हिडिओ ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्‍न

You are given prisms made of crown glass and flint glass with a wide variety of angles. Suggest a combination of prisms which will

(a) deviate a pencil of white light without much dispersion,

(b) disperse (and displace) a pencil of white light without much deviation.


State the conditions required for total internal reflection of light to take place.


The figure shows a ray of light falling normally on the face AB of an equilateral glass prism having refractive index`3/2`, placed in water of refractive index `4/3`.Will this ray suffer total internal reflection on striking the face AC? Justify your answer.


What do you understand by the deviation produced by a prism? Why is it caused? 


A light ray does not bend at the boundary in passing from one medium to the other medium if the angle of incident is ______.


Name two factors which affect the critical angle for a given pair of media. State how do the factors affect it.


Total internal reflection occurs only when a ray of light passes from a ______ medium to a ______ medium.


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?


Plot a graph between

Angle of incidence versus angle of refraction.


Define the terms critical angle and total internal reflection. State two conditions necessary for total internal reflection to occur. Write down the relation for the critical angle in terms of refractive index.

Make the correct choices for each of the following : 

Total Internal reflection takes place when 

(where ∠i = angle of incidence,  ∠r = angle of refraction, ∠C = critical angle)


How are critical angles related to the refractive index of the medium?


A ray of light incident at an angle of incidence ‘i’ passes through an equilateral glass prism such that the refracted ray inside the prism is parallel to its base and emerges from the prism at an angle of emergence ‘e’.

How is the angle of emergence ‘e’ related to the angle of incidence ‘i’?


What is meant by the term ‘critical angle’?


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.


Explain ‘mirage’ as an illustration of refraction.


Solve Numerical example.

A monochromatic ray of light is incident at 37° on an equilateral prism of refractive index 3/2. Determine angle of emergence and angle of deviation. If angle of prism is adjustable, what should its value be for emergent rays to be just possible for the same angle of incidence?


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


Which of the following statements about total internal reflection is true?


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


The phenomena involved in the reflection of radiowaves by ionosphere is similar to ______.


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.


State the condition under which total internal reflection occurs. Give the mathematical expression for total internal reflection.


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


  • Assertion (A): Propagation of light through an optical fibre is due to total internal reflection taking place at the core-cladding interface.
  • Reason (R): Refractive index of the material of the cladding of the optical fibre is greater than that of the core.

An endoscope uses optic fiber to transmit high resolution images of internal organs without loss of information. The principle of light that is used by the optic fiber is based on ______.


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