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Coherence of Light

NEET > Physics > Optics > Wave Optics > Coherence of Light

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Overview content

Topic 4 of 9 โ€ข Chapter: Wave Optics โ€ข Physics

Coherence of Light โ€“ Complete Notes, Revision, Important Questions & Downloads

Coherence of Light makes interference possible by fixing what NEET means by Temporal Coherence, Spatial Coherence, and Methods of Obtaining Coherent Sources. NEET tests this topic through direct questions on coherence time and coherence length, through experiment-matching items that separate division of wavefront from division of amplitude, and through short checks on whether a stable interference pattern can survive. The chapter moves from the coherence time tau_c and coherence length L = c tau_c to the physical requirement that the phase relation between two light waves must remain steady long enough to survive on a screen. A standard comparison is that neon gives L about 0.03 m, cadmium about 0.3 m, and lasers can reach kilometres, so the quality of phase memory is not the same for all sources.

โฌ‡ Download Notes PDFView Important Questions โ†’
Interference BaseTheory + NumbersNEET Core
Expected QuestionsQ
1
usually as a coherence-condition or source-generation concept check
Time Requiredโฑ
1.5 hrs
to lock the coherence definitions, lengths, and coherent-source methods
Difficultyโšก
Medium
the formulas are short, but NEET mixes them with source setup and interference feasibility
NRI USA Curriculum GapUS
Moderate
many courses discuss interference setups without explicitly training coherence length and coherent-source generation as testable facts
3Subtopics
30+Practice Questions
4Free Downloads
1.5 hrsPrep Time
โฌ‡ Get Free Downloads

NEET Weightage & Exam Pattern

Wave Optics
NEET YearQuestions from this TopicBarMarks
20241
ย 
1 Q
4
20230
ย 
0 Q
0
20221
ย 
1 Q
4
20210
ย 
0 Q
0
20201
ย 
1 Q
4
Topic Weightage3ย 12
Coherence is rarely asked as pure theory only; it usually supports a question about whether interference can be sustained.
Temporal coherence is often paired with the formula L = c tau_c or Delta lambda approximately lambda^2/L in short numerical form.

Division of wavefront and division of amplitude are classic source-generation methods that NEET expects you to match with experiments such as YDSE, Fresnel biprism, Newton's rings, and thin films.
๐Ÿ“Š
0.6
Avg Questions / Year
๐ŸŽฏ
12
Total Marks (6 yrs)
๐Ÿ“ˆ
Mixed
Pattern
โš ๏ธ
Medium
Difficulty

Preparation Strategy

1

Link Coherence Time and Coherence Length Do not memorise tau_c and L separately. Always read L = c tau_c as the physical distance over which phase memory survives. That makes the numbers for neon, cadmium, and laser meaningful instead of decorative.

2

Separate Time Coherence From Space Coherence Temporal coherence is about how long one emitted wave remains phase-consistent, while spatial coherence is about whether two different points receive waves with a constant phase difference. NEET likes to mix these in options, so keep the distinction crisp.

3

Match Each Experiment to Its Source Method Memorise YDSE, Lloyd's mirror, and Fresnel's biprism under division of wavefront; keep Newton's rings, Michelson interferometer, and thin films under division of amplitude. This is a high-yield matching block.

4

Use Coherence to Test Feasibility Whenever a question asks whether a stable interference pattern can form, first ask if the source pair is coherent and whether the phase relation remains constant long enough. This is faster than jumping to fringe formulas.

Download Topic Notes

PDF ยท Cheat Sheet ยท MCQ Set ยท PYQ
๐Ÿ“„
Full Topic Notes
Notes on temporal coherence, spatial coherence, coherence length, and the two ways of producing coherent sources.
PDF6 Pages
Download Notes
๐Ÿ“
Formula Sheet
Compact sheet for L = c tau_c, Delta lambda relations, and experiment-method mapping.
PDF1 Page
Download Formulas
๐ŸŽฏ
MCQ Practice
Question set focused on coherence conditions, source generation, and phase-memory comparisons across light sources.
PDF30 Questions
Download MCQs
โณ
Previous Year Questions
PYQ-style revision on coherent sources, sustained interference, and coherence-length logic.
PDF11 Questions
Download PYQs

Topic Coverage

2-Column Table
Column AColumn B
Temporal Coherenceโ†—
Spatial Coherenceโ†—
Methods of Obtaining Coherent Sourcesโ†—

Quick Revision

Concept โ†’ Trap โ†’ Example

1) Temporal Coherence

Phase Memory in Time

A light wave emitted by an excited atom remains sinusoidal for coherence time tau_c, and the definite phase relation is maintained over coherence length L = c tau_c.

  • Use temporal coherence when the question asks how long or how far a source preserves a steady phase relation for interference.
  • The spectral line width is tied to that phase memory: Delta lambda approximately lambda^2/(c tau_c) or lambda^2/L.
  • Trap: treating coherence length as the physical size of the source instead of the distance over which phase relation stays definite.
Example (NEET-style)If tau_c = 10^-10 s, then L = c tau_c is about 3 x 10^8 x 10^-10 = 3 x 10^-2 m = 0.03 m, which matches the order quoted for neon light.

2) Spatial Coherence

Phase Memory in Space

Two points in space are spatially coherent if the waves reaching them maintain a constant phase difference; practically PP' must be much less than c tau_c.

  • Use this idea when the problem compares two observation points or two parts of the same wavefront rather than the lifetime of one emitted wave.
  • Points at equal distance from a common source stay in phase, which is why source geometry matters for fringe formation.
  • Trap: confusing spatial coherence with equal intensity. Constant phase difference is the deciding condition, not equal brightness alone.
Example (NEET-style)If a source has coherence length 0.03 m, then two points separated by 1 mm can still behave coherently because 10^-3 m is much smaller than 3 x 10^-2 m.

3) Methods of Obtaining Coherent Sources

Source Generation

Coherent sources are produced from a single source by division of wavefront or division of amplitude.

  • Division of wavefront gives imaginary coherent sources and appears in Fresnel's biprism, Lloyd's mirror, and Young's double slit.
  • Division of amplitude gives real coherent sources through partial reflection and transmission, as in Newton's rings, Michelson interferometer, and thin films.
  • Trap: placing Newton's rings under division of wavefront or YDSE under division of amplitude.
Example (NEET-style)In YDSE one original monochromatic source is split into two narrow slits, so the coherent pair comes from division of wavefront; in thin-film interference the split happens by partial reflection and transmission, so it is division of amplitude.

US Curriculum Gaps

Note for NRI/OCI students studying abroad.

Coherence Length Is Often Mentioned but Not Used

Students may hear that lasers are more coherent without being asked to compute or compare coherence length from tau_c values.

  • L = c tau_c must be numerically usable
  • laser coherence should be contrasted with ordinary discharge sources

Experiment Mapping Is More Explicit in NEET

NEET likes source-method matching where one experiment must be placed under division of wavefront and another under division of amplitude.

  • YDSE and Fresnel biprism under division of wavefront
  • thin films and Newton's rings under division of amplitude

Concept IQ Check

3 Concept MCQs
1A source has coherence time 10^-9 s. What is the corresponding coherence length in vacuum?Temporal Coherence
0.03 m
0.3 m
3 m
3 km
Use L = c tau_c. With c about 3 x 10^8 m/s and tau_c = 10^-9 s, L = 3 x 10^-1 m = 0.3 m. Option A corresponds to tau_c about 10^-10 s, which is the order quoted for neon. Option D belongs to laser-scale coherence, not ordinary discharge sources. The question checks whether you can convert the qualitative phrase 'phase memory' into a direct length estimate.
2Two observation points receive light of equal intensity from a source, but the phase difference between them changes randomly with time. Which statement is correct?Spatial Coherence
They are spatially coherent because the intensities are equal.
They are spatially coherent because they are in the same medium.
They are not spatially coherent because the phase difference is not constant.
Spatial coherence depends only on wavelength, not on phase relation.
Spatial coherence is defined through constant phase difference between the waves reaching two spatial points. Equal intensity alone does not guarantee coherence, so option A fails. The same medium does not rescue a random phase relation, so option B also fails. Option D is incomplete because wavelength matters only through coherence length or related constraints; the actual definition still depends on phase stability. Option C is therefore the only correct interpretation.
3Which pair is correctly matched with division of amplitude?Coherent Sources
Young's double slit and Lloyd's mirror
Fresnel's biprism and Lloyd's mirror
Newton's rings and thin films
Young's double slit and Fresnel's biprism
Division of amplitude creates coherent beams through partial reflection and transmission. Newton's rings and thin-film interference are textbook examples of that mechanism, so option C is correct. Young's double slit, Lloyd's mirror, and Fresnel's biprism come from division of wavefront, not amplitude. NEET often turns this into a matching question because students remember the experiments but forget the physical way coherence was produced.

Practice Questions

Click "Reveal Answer" after attempting
1For cadmium light, tau_c = 10^-9 s. What is the coherence length?
0.03 m
0.3 m
3 m
30 m
๐Ÿ‘ Reveal Answer
Correct option: B. Coherence length is L = c tau_c. With c = 3 x 10^8 m/s and tau_c = 10^-9 s, L = 0.3 m. This is larger than the neon example because the phase relation survives longer.
2A question says two points P and P' satisfy PP' much less than c tau_c. What should you infer?
They must have equal amplitudes only.
They are spatially coherent.
They must lie on different wavefronts.
They cannot show any interference effect.
๐Ÿ‘ Reveal Answer
Correct option: B. The local text states that two points are spatially coherent if the separation is much less than the coherence length c tau_c. The statement is about phase stability in space, not only about equal amplitude.
3Which arrangement gives imaginary coherent sources?
Thin film interference
Newton's rings
Fresnel's biprism
Michelson interferometer
๐Ÿ‘ Reveal Answer
Correct option: C. Division of wavefront gives imaginary coherent sources, and Fresnel's biprism is one of the classic examples. Thin films, Newton's rings, and Michelson interferometer belong to division of amplitude.
4If Delta lambda decreases for a fixed wavelength, what happens to coherence length?
It decreases.
It increases.
It becomes zero.
It becomes independent of wavelength.
๐Ÿ‘ Reveal Answer
Correct option: B. Since Delta lambda is approximately lambda^2/L, a smaller spectral width means a larger coherence length. Physically that means the source maintains phase relation over a longer distance.
5Which is the best coherent-source method for YDSE according to the chapter?
Division of amplitude
Division of wavefront
Scattering only
Random phase superposition
๐Ÿ‘ Reveal Answer
Correct option: B. In YDSE the wavefront from a single narrow source is divided into two parts at the slits, so the coherent pair comes by division of wavefront. That is why the phase relation is preserved well enough to produce stable fringes.

Physics Revision Checklist Revision Checklist

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Use this section for quick chapter tracking before mocks, part tests, and final NEET revision.

Tip: Mark a chapter complete only after revising formulas, solving PYQs, and reviewing your error log for that chapter.

Frequently Asked Questions

Notes ยท Downloads ยท Revision ยท Important Questions
What is the simplest definition of coherence for NEET?
Coherence means a definite phase relationship. If the phase relation between two waves stays fixed, the waves are coherent enough to produce a sustained interference effect. This definition is short, but it controls everything that follows in interference problems.
How are temporal coherence and spatial coherence different?
Temporal coherence asks how long one emitted wave preserves phase regularity, while spatial coherence asks whether two different points receive waves with a constant phase difference. One is about time memory, the other is about space correlation. NEET often gives options that swap these meanings, so the distinction must stay sharp.
Why do lasers usually show greater coherence length?
Because their phase relation survives for much longer coherence times than ordinary sources. Since L = c tau_c, a larger coherence time automatically gives a larger coherence length. That is why laser light can maintain a steady phase relation over far larger distances.
Why can two independent ordinary bulbs not act as coherent sources?
Because their phases change independently and randomly, so the phase difference does not remain constant. Without a fixed phase relation, any interference contribution averages out and a stable fringe pattern cannot survive. This is why coherent sources are generated from a single original source instead.
What is the exam-useful difference between division of wavefront and division of amplitude?
Division of wavefront splits one wavefront into two parts and usually gives imaginary coherent sources. Division of amplitude splits one beam by reflection and transmission and gives real coherent beams. NEET uses experiment matching to test whether you know that physical distinction rather than only the names.
Is equal intensity enough for coherence?
No. Equal intensity may improve contrast in interference, but coherence is decided by whether the phase difference remains constant. Two beams can have equal intensity and still fail to form a sustained pattern if their phase relation wanders randomly.
Why is coherence length connected to spectral line width?
A source with a narrow spectral line behaves more nearly like a single clean frequency, so its phase relation survives longer. Mathematically this appears as Delta lambda approximately lambda^2/L. Smaller spectral spread therefore means larger coherence length and better interference stability.
Which experiments should I remember under division of amplitude immediately?
Thin-film interference, Newton's rings, and Michelson interferometer are the safest three. They all arise from partial reflection and transmission, so the coherent beams come from division of amplitude rather than direct splitting of one wavefront into two narrow branches.
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Temporal Coherence

Spatial Coherence

Methods of Obtaining Coherent Sources

Subtopics

Temporal Coherence

Spatial Coherence

Methods of Obtaining Coherent Sources

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