हिंदी

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.

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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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अध्याय 9: Optics - Exercises [पृष्ठ १८५]

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

वीडियो ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्न

Draw the diagram of a right-angled isosceles prism which is used to make an invented image erect.


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


Draw diagram to illustrate the total internal reflection.


Calculate the speed of light in a medium whose critical angle is 30° ?


The observation made by Swarali while doing the experiment is given below. Based on these write answers to the questions:

Swarali found that the light ray travelling from the denser medium to rarer medium goes away from the normal. If the angle of incidence (i) is raised by Swarali, the angle of refraction (r) went on increasing. However, after certain value of the angle of incidence the light ray is seen to return back into the denser medium.

Questions:

  1. What is the specific value of∠i called?
  2. What is the process of reflection of incident rays into denser medium called?
  3. Draw the diagrams of three observations made by Swarali.

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].


Plot a graph between

Angle of incidence versus angle of refraction.


State two factors which affect the critical angle for a given pair of media.

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


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


State two advantages of using a right-angle prism as a reflector, rather than a plane mirror.


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


The diagram shows a point source P inside a water container. Three rays A, B, and C starting from P are shown up to the water surface. Show in the diagram the path of these rays after striking the water surface. The critical angle for the water-air pair is 48°.


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.


Answer the following question.

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


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?


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°


Critical angle of light passing from glass to air is maximum for ____________.


The angle of minimum deviation produced by a thin glass prism in air is 'δ'. If that prism is immersed in water, the angle of minimum deviation will be ______.

( aμg = refractive index of glass w.r.t, air aμw = refractive index of water w.r.t. air)


The twinkling effect of star light is due to ______.


The angle of incidence at which the angle of refraction is Q£ is called the critical angle.


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


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


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 ______.


  • 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.

Name any two phenomena which take place in the formation of a rainbow.


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