Skip to content
← Physics

Physics · Class 12 Science

Ch 10Wave Optics — Class 12 Physics, concept-first.

WBCHSE's Unit 6, "Optics", is built in two sub-topics. SUB TOPIC 1 treats light within the ray (geometrical) picture -- reflection and refraction at plane and curved surfaces, lenses, mirrors, and the optical instruments built from them -- where light is followed as straight-line rays and a wavefront never explicitly a…

46

Q&A

12

Concepts

~5m

Unit weightage

Start learning — read this chapter →

Key concepts

Hover a concept to preview it and jump to its most relevant Q&A.

Chapter contents

The NCERT structure, section by section. Open a section to see its questions, then read the concept-first solution.

10.1

Introduction

WBCHSE's Unit 6, "Optics", is built in two sub-topics. SUB TOPIC 1 treats light within the ray (geometrical) picture -- reflection and refraction at plane and curved surfaces, lenses, mirrors, and the…

10.2

Wavefronts and Huygens' Principle

A wavefront is defined as the locus of all the points in a medium that are vibrating in the same phase at a given instant of time -- every point lying on one wavefront is, at that instant, at the iden…

10.3

Reflection of a Plane Wave by Huygens' Construction

Consider a plane wavefront travelling through a medium and about to strike a plane reflecting surface , making an angle of incidence with the normal to the surface at the point where it first touches…

10.4

Refraction of a Plane Wave by Huygens' Construction

The same construction, applied at a refracting interface separating two media of speeds (medium 1, where the wave is incident) and (medium 2, where it is transmitted), yields Snell's law.

10.5

Coherent Sources and the Condition for Sustained Interference

When light waves from two (or more) sources overlap in a region of space, the resultant intensity at any point depends on the phase relationship between the waves arriving there, a phenomenon called i…

10.6

Young's Double Slit Experiment

In Young's arrangement, a narrow slit illuminated by a monochromatic source sends out a single expanding wavefront, which is allowed to fall symmetrically on two further narrow slits and , cut very cl…

10.7

Path Difference, Phase Difference and Conditions for Maxima and Minima

Let be a point on the screen at a distance from the central point , in a Young's double slit set-up with slit separation and screen distance .

10.8

Expression for Fringe Width

The position of the th bright fringe above the central point is found by setting the path-difference condition for a maximum, , equal to the geometrical expression for path difference derived above:

10.9

Fraunhofer Diffraction at a Single Slit and the Width of the Central Maximum

When a plane monochromatic wavefront falls normally on a single narrow slit of width , Huygens' principle again applies -- but now every point across the width of the same slit acts as a source of sec…

10.10

Resolving Power of a Microscope

Because light bends around edges (diffracts) at any finite aperture, the image of even a perfect point object formed by any real optical instrument is not a point but a small diffraction pattern -- a…

10.11

Resolving Power of an Astronomical Telescope

For an astronomical telescope, the same Rayleigh criterion is applied to the diffraction pattern formed at the circular aperture of the objective (lens or mirror), of diameter , rather than to a slit…

10.12

Polarization of Light and Malus's Law

Light is a transverse electromagnetic wave, meaning the oscillating electric field associated with it always points in a direction perpendicular to the direction the wave is travelling in -- but in or…

10.13

Brewster's Law and Uses of Polaroid

Ordinary reflection also produces partial polarization, and at one particular angle of incidence, called the polarizing angle (or Brewster's angle) , the reflected ray becomes completely (100 percent)…

Summary

Huygens' principle -- every point on a wavefront is a source of secondary wavelets, and the new wavefront is their forward common tangent -- lets the laws of reflection () and refraction (, Snell's la…

Sample & Board Papers

Sample papers and previous-year board questions for this subject.

+Show 19 questions19 questions
  1. Q1What is meant by interference of light? Write down the conditions of sustained interference. **OR** What is an optical fibre? Mention its us…Preview
  2. Q2Which of the following phenomenon does not occur to both sound and light waves? (a) Interference (b) Diffraction (c) Coherence (d) Polarisat…Preview
  3. Q3a) What is wavefront of a wave? b) Prove the laws of reflection by using Hygens' principle. **OR** In Young's double slit experiment, what i…Preview
  4. Q4a) Two convex lenses of focal lengths f1 and f2 respectively are placed in contact with each other. Then what will be power of their equival…Preview
  5. Q5(a) In Young's double slit experiment, describe briefly how bright and dark fringes are obtained on the screen kept in front of a double sli…Preview
  6. Q6Two sources of intensity I and 4I are used in an interference experiment. The intensity at the point where the waves from two sources superi…Preview
  7. Q7What is the phase difference between two points on a wavefront? **OR** What is the shape of the wavefront emitted by a light source in the f…Preview
  8. Q8The condition for containing secondary maxima in the diffraction pattern due to single slit is (a) a sinθ = nλ (b) a sinθ = (2n + 1)λ/2 (c)…Preview
  9. Q9(a) Using Huygens' construction, draw a figure showing the propagation of plane wave refracting at a plane surface separating two media. Hen…Preview
  10. Q10In Young's double slit experiment, if a thin glass plate is placed in the path of one of the interfering beams, then (a) the fringe width de…Preview
  11. Q11Name the shape of a wave-front originating from a line source. **OR** Which plane is defined as the plane of polarisation in a plane-polaris…Preview
  12. Q12In a single slit diffraction, how does the angular width of the central maximum change when — (a) slit width is decreased? (b) distance betw…Preview
  13. Q13If the width of the two slits in Young double slit experiment have ratio 4 : 1, then the intensity ratio of maxima and minima in the interfe…Preview
  14. Q14Using Huygens' principles, prove the laws of reflection of light.Preview
  15. Q15Mention two major differences between interference and diffraction of light.Preview
  16. Q16How will polaroid be used to distinguish between unpolarised light and linearly polarised light?Preview
  17. Q17Two coherent sources of intensity I produce interference pattern. What will be the intensity where path difference is λ/6? (where λ = wavele…Preview
  18. Q18i) How does the angular width of the central maxima in a single slit Fraunhofer diffraction pattern change when the distance between the sli…Preview
  19. Q19i) State Huygens' principle. What do you mean by coherent source? ii) In Young's double slit experiment fringes are produced due to light of…Preview

More questions

27 Q
+Show 9 questions9 questions
  1. Example 1State Huygens' principle. What is meant by a wavefront, and how does its shape differ for a point source close to the observer compared with…Free
  2. Example 2Using Huygens' geometrical construction, show that when a plane wavefront is reflected at a plane surface, the angle of incidence is equal t…Free
  3. Example 3A plane wavefront travelling in a rarer medium of speed $v_1$ is incident on the plane boundary of a denser medium of speed $v_2$ (with $v_2…Free
  4. Example 4Explain why two independent sodium vapour lamps, even though they emit light of the same wavelength, cannot produce a sustained (observable)…Preview
  5. Example 5Describe the arrangement used in Young's double slit experiment, and explain, in terms of path difference, why the point on the screen direc…Preview
  6. Example 6In Young's double slit experiment, slits $S_1$ and $S_2$ are separated by a distance $d$, and a screen is placed at a distance $D\gg d$ from…Preview
  7. Example 7Monochromatic light of wavelength $\lambda$ is incident normally on a single slit of width $a$, and the diffraction pattern is observed on a…Preview
  8. Example 8Define the resolving power of a microscope. Derive the expression $d_{\min}=1.22\lambda/(2n\sin\beta)$ for the smallest separation between t…Preview
  9. Example 9State Brewster's law. Derive the relation $n=\tan\theta_B$ between the refractive index of a medium and its polarizing angle $\theta_B$, sta…Preview
+Show 9 questions9 questions
  1. Q10Distinguish between a wavefront and a ray. What is the shape of the wavefront (a) close to a point source, and (b) very far from a point sou…Free
  2. Q11State the two conditions that two light sources must satisfy to be called coherent sources, and explain why coherence is essential for a sus…Free
  3. Q12In the diffraction pattern produced by a single slit, explain why the central maximum is very much brighter than any of the secondary maxima…Free
  4. Q13What is meant by the resolving power of an astronomical telescope? State the factor on which it depends, and explain why astronomical telesc…Preview
  5. Q14Distinguish between unpolarized light and plane polarized light. How does a single polaroid convert one into the other?Preview
  6. Q15List four everyday or technical uses of polaroid material, briefly explaining the physical basis of any one of them.Preview
  7. Q16State Malus's law in words and in mathematical form. At what angle between the transmission axes of the polarizer and the analyzer is the tr…Preview
  8. Q17How does the fringe pattern produced by interference at Young's double slit differ from the diffraction pattern produced at a single slit, i…Preview
  9. Q18In Young's double slit experiment, if the monochromatic source is replaced by a source of white light, what is observed at the central fring…Preview
+Show 9 questions9 questions
  1. Q19In a Young's double slit experiment, the two slits are separated by $d=0.5\ \text{mm}$ and the screen is placed $D=1\ \text{m}$ away. If lig…Free
  2. Q20In a two-slit interference experiment using light of wavelength $\lambda=6000\ \text{\AA}$, state whether a bright or a dark fringe is forme…Free
  3. Q21In a Young's double slit arrangement with slit separation $d=0.5\ \text{mm}$ and screen distance $D=1.2\ \text{m}$, the 4th bright fringe fr…Free
  4. Q22Light of wavelength $\lambda=6000\ \text{\AA}$ is incident normally on a single slit of width $a=0.2\ \text{mm}$, and the diffraction patter…Preview
  5. Q23Light of wavelength $\lambda=6000\ \text{\AA}$ is incident normally on a single slit of width $a=0.3\ \text{mm}$. Calculate the total angula…Preview
  6. Q24A microscope objective has a numerical aperture $n\sin\beta=1.25$ and is used with light of wavelength $\lambda=5000\ \text{\AA}$. Calculate…Preview
  7. Q25The objective of an astronomical telescope has a diameter of $D=5\ \text{m}$. Taking the wavelength of light used as $\lambda=5000\ \text{\A…Preview
  8. Q26The polarizing angle for light incident on a certain transparent medium from air is found to be $53^\circ$. Calculate the refractive index o…Preview
  9. Q27Unpolarized light of intensity $I_i$ is incident on a polaroid. The plane polarized light transmitted by this polaroid then falls on a secon…Preview