English

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

Advertisements
Advertisements

Question

Answer the following question.

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

Short/Brief Note
Advertisements

Solution

  • 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"`
shaalaa.com
  Is there an error in this question or solution?
Chapter 9: Optics - Exercises [Page 185]

APPEARS IN

Balbharati Physics [English] Standard 11 Maharashtra State Board
Chapter 9 Optics
Exercises | Q 2. (ix) | Page 185

RELATED QUESTIONS

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.


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.


Angle of deviation is the angle which the ______ ray makes with the direction of ______ray. 


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


Two isosceles right-angle glass prisms P and Q are placed near each other as shown in Fig. Complete the path of the light ray entering the prism P till it emerges out of the prism Q.

 


i) Observe the given figure and answer the following questions.
a) Identify and write the natural process shown in the figure.
b) List the phenomena which are observe in this process.
c) Redraw the diagram and show above phenomena in it.


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

Plot a graph between

Sine of angle of incidence versus sine of angle of refraction,


If a light ray does not undergo, refraction at the boundary between two media, the angle of incidence is:


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.

Express the refractive index μ of a medium in terms of the angle of incidence i in air and the angle of refraction r in a denser 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’.

What can you say about the value of the angle of deviation in such a situation?


Draw a diagram, properly labelled, to illustrate the use of a total reflecting prism (a right-angled isosceles prism) to turn a ray of light through 180°. Name an instrument in which this device is used.


PQ and PR are two light rays emerging from the object as shown in the figure below:

(i) What is the special name given to the angle of incidence (∠PQN) of ray PQ?
(ii) Copy the ray diagram and complete it to show the position of the image of the object P when seen obliquely from above.
(iii) Name the phenomenon that occurs if the angle of incidence ∠PQN is increased still further.


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?


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


Observe the given figure and write appropriate phenomenon of light in the box.


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


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)


Optical fibre communication uses the principle of ______.


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


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


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


Write any two uses of total internal reflection.


What are the examples of total internal reflection in nature?


A ray of light incident at an angle θ on a refracting face of a prism emerges from the other face normally. If the angle of the prism is 5° and the prism is made of a material of refractive index 1.5, the angle of incidence is ______.


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 ______.


Find the value of θ in the given figure.


  • 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.

State two differences between normal reflection and total internal reflection.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×