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

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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

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संबंधित प्रश्‍न

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In the given figure PQ and PR are the two light rays emerging from an object P. The ray PQ is refracted as QS. 

 

  1. State the special name given to the angle of incidence ∠PQN of the ray PQ.
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  3. Name the phenomenon that occurs if the angle of incidence ∠PQN is increased.
  4. The ray PR suffers partial reflection and refraction on the water-air surface. Give reason.
  5. Draw in the diagram the refracted ray for the incident ray PR and hence show the position of image of the object P by the letter P’ when seen vertically from above.  

Write the relation between the refractive index and critical angle for a given pair of optical media?


Total internal reflection can take place only if ______.


The diagram below shows a light source P embedded in a rectangular glass block ABCD of critical angle 42°. Complete the path of the ray PQ till it emerges out of the block. [Write necessary angles].


Name the phenomenon which enables an empty test tube placed inside water shine like a mirror.

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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 statement, ‘the critical angle for diamond is 24°’?


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


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


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What is the phenomenon used in optical fiber? Explain.


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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.


Find the value of θ in the given figure.


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The diagram below shows a fish in the tank and its image seen on the surface of the water.

Name the phenomenon responsible for the formation of this image.


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