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

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


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.


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


Swarali has got the following observations while doing an experiment. Answer her questions with the help of observations.

Swarali observed that the light bent away from the normal, while travelling from dense medium to rarer medium. When Swarali increased the values of angle of incidence (i), the values of angle of refraction (r) went on increasing. But at a certain angle of incidence, the light rays returned into the dense medium.

So, Swarali has some questions. Answer them –
a) Name this certain value of ‘i ’. What is the value of ‘r’ at that time ?
b) Name this process of returning of light in dense medium. Explain the process.

 


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.

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

Plot a graph between
 Angle of incidence versus angle of reflection,


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.

How does a ray of light bend when it travels from when it is normal to the interface of the two media.


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


A ray of light passes through a right-angled prism as shown in the figure. State the angles of incidence at the faces AC and BC.


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.


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


Answer the following question.

Why is prism binoculars preferred over traditional binoculars? Describe its working in brief.


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)


The twinkling effect of star light is due to ______.


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 ______.


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


A rectangular block of glass ABCD has a refractive index 1.6. A pin is placed midway on the face AB (Figure). When observed from the face AD, the pin shall ______.

  1. appear to be near A.
  2. appear to be near D.
  3. appear to be at the centre of AD.
  4. not be seen at all.

Which of the following is used in optical fibres?


A given ray of light suffers minimum deviation in an equilateral prism P. Additional prism Q and R of identical shape and of the same material as P are now added as shown in the figure. The ray will now suffer ______.


The angle made by incident ray of light with normal of the reflecting surface is called ______.


  • 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.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×