Note: This chapter was removed from the NCERT curriculum in the 2022 rationalization. Retained here as optics — mirrors, lenses, total internal reflection — underlies fibre optic communications, solar concentrators, telescopes, and cameras — key GS3 science & technology topics.

Why this chapter matters for UPSC: Optics is not abstract physics — it is the science behind India's digital connectivity (optical fibre in BharatNet), space telescopes (JWST, ISRO's CARTOSAT), medical instruments (endoscopy), and renewable energy (parabolic solar concentrators in CSP plants). GS3 questions on science and technology regularly require understanding of why these technologies work.


PART 1 — Quick Reference Tables

Spherical Mirrors — Image Formation Summary

Mirror TypeObject PositionImage TypeImage PropertiesApplication
ConcaveBeyond CReal, invertedDiminished
ConcaveAt CReal, invertedSame size
ConcaveBetween C and FReal, invertedMagnifiedProjectors
ConcaveAt FRealAt infinityTorch/headlight reflectors
ConcaveInside F (between F and P)Virtual, erectMagnifiedDentist's mirror, shaving mirror
ConvexAnywhereVirtual, erectDiminishedRear-view mirrors, security mirrors

Refraction and Total Internal Reflection

ConceptDescriptionKey FormulaApplication
Snell's LawRelationship between angles at interfacen₁ sin θ₁ = n₂ sin θ₂All refraction calculations
Refractive index (n)How much medium slows lightn = c/v (c = speed in vacuum; v = speed in medium)Material identification
Critical angleAngle above which TIR occurssin θ_c = n₂/n₁ (light going dense→less dense)Optical fibre design
TIRComplete internal reflection; no refracted rayMust exceed critical angleOptical fibres, diamond brilliance, mirages

Lenses — Summary

Lens TypeFocal LengthPowerImage (object beyond F)Corrects
Convex (converging)Positive (+)Positive (+D)Real, invertedHypermetropia (farsightedness)
Concave (diverging)Negative (−)Negative (−D)Virtual, erect, diminishedMyopia (nearsightedness)

PART 2 — Detailed Notes

1. Reflection of Light

Laws of Reflection:

  1. The angle of incidence (i) equals the angle of reflection (r): ∠i = ∠r
  2. The incident ray, reflected ray, and the normal to the surface at the point of incidence all lie in the same plane.

Types of reflection:

  • Regular (specular) reflection: Smooth, polished surface (mirror) — parallel rays reflect as parallel rays → clear image.
  • Diffuse reflection: Rough surface — parallel rays reflect in many directions → no image but illuminates the area. This is how we see most objects (walls, paper, skin).

2. Spherical Mirrors

Key Term

Key terms for spherical mirrors:

  • Pole (P): Centre of the mirror's reflecting surface.
  • Centre of curvature (C): Centre of the sphere of which the mirror is a part.
  • Radius of curvature (R): Distance from P to C.
  • Principal focus (F): Point where rays parallel to the principal axis converge (concave) or appear to diverge from (convex) after reflection.
  • Focal length (f): Distance from P to F. Relationship: f = R/2
  • Mirror formula: 1/v + 1/u = 1/f (where v = image distance, u = object distance)
  • Magnification: m = −v/u (negative → real inverted image; positive → virtual erect image)

Concave mirror (converging mirror): Reflecting surface curves inward. Used where a large, real, or magnified image is needed.

Convex mirror (diverging mirror): Reflecting surface curves outward. Always produces a virtual, erect, diminished image regardless of object position. The key advantage: wider field of view — a single convex mirror can show a larger area than a flat mirror.

UPSC Connect

UPSC GS3 — Renewable Energy / Science & Technology:

Parabolic solar concentrators (CSP — Concentrated Solar Power): Use parabolic concave mirrors to focus sunlight onto a receiver tube at the focal line. The concentrated heat generates steam → drives turbine → generates electricity. India's CSP plants:

  • Rajasthan (Jodhpur region): Highest solar insolation in India.
  • NTPC and private players operate CSP plants.
  • India's solar capacity: ~150 GW total (March 2026), though CSP remains a small fraction — most is photovoltaic (PV). CSP has the advantage of thermal storage (heat stored in molten salt → power at night).
  • India's 500 GW renewable target by 2030 includes CSP as a technology option.

3. Refraction of Light

When light passes from one medium to another, it changes speed — this causes it to bend at the interface. This bending is refraction.

Rules:

  • Light going from less dense (lower n) to more dense (higher n) medium: bends toward the normal (speed decreases).
  • Light going from more dense to less dense medium: bends away from the normal (speed increases).
  • If light hits the interface at exactly 90° (perpendicular/along the normal): no bending.

Snell's Law: n₁ sin θ₁ = n₂ sin θ₂

Refractive indices (approximate):

  • Air: 1.0003 (≈ 1)
  • Water: 1.33
  • Glass: 1.5
  • Diamond: 2.42 (highest among common materials → exceptional TIR)

4. Total Internal Reflection (TIR)

Key Term

Total Internal Reflection (TIR) occurs when:

  1. Light travels from a denser medium to a less dense medium (e.g., glass to air).
  2. The angle of incidence exceeds the critical angle (θ_c).

Above the critical angle, 100% of light is reflected back into the denser medium — no refracted ray exits. This is unlike partial reflection at other angles.

Critical angle for glass-air interface: ~42° (glass n = 1.5; sin θ_c = 1/1.5 → θ_c ≈ 42°) Critical angle for diamond-air: ~24° (diamond n = 2.42) — very small critical angle means most light entering a diamond undergoes TIR multiple times → brilliant sparkle.

UPSC Connect

UPSC GS3 — Digital Infrastructure / Communications:

Optical fibre cables exploit TIR. A glass fibre (core, n ≈ 1.5) is surrounded by cladding (lower n). Light signals entering the fibre at a shallow angle undergo repeated total internal reflection along the length of the fibre with virtually no loss. Key facts:

  • Optical fibres carry data as pulses of light at nearly the speed of light.
  • Bandwidth: far higher than copper cables — a single fibre can carry millions of phone calls simultaneously.
  • BharatNet: India's flagship programme to connect ~6 lakh gram panchayats with high-speed broadband using optical fibre. Phase I and II completed significant portions; Phase III (Bharat Broadband Network Limited — BBNL, now merged into BSNL) aims for universal rural connectivity. Critical for Digital India, e-governance, telemedicine, and online education in rural areas.
  • Endoscopy in medicine: Optical fibres carry light into the body and transmit images back — gastroscopy, colonoscopy, laparoscopy — without major surgery.

Mirage: In deserts, the air near the hot ground has lower refractive index than cooler air above. Light from a distant object (e.g., sky) traveling downward gradually bends (refraction) as it enters progressively less dense air layers near the ground — until the angle exceeds the critical angle → TIR. The light is reflected upward and reaches our eye appearing to come from the ground, like a water reflection. We see a "puddle" that is actually an inverted image of the sky.

5. Lenses

A lens is a transparent medium bounded by two curved surfaces (usually spherical).

Key Term

Lens formula: 1/v − 1/u = 1/f

Power of a lens: P = 1/f (where f is in metres). Unit: Dioptre (D)

  • Convex lens: positive power (converging)
  • Concave lens: negative power (diverging)
  • Combined lenses: P_total = P₁ + Pâ‚‚ + P₃ + ...

This additive property of power is why spectacle prescriptions are written in dioptres — the optometrist simply adds powers of individual lens components.

Corrective lenses and vision defects:

  • Myopia (nearsightedness): Corrected with a concave lens (negative power/dioptre).
  • Hypermetropia (farsightedness): Corrected with a convex lens (positive power/dioptre).

6. Space Telescopes and ISRO's Optical Satellites

UPSC Connect

UPSC GS3 — Space Technology:

James Webb Space Telescope (JWST): Launched December 2021, positioned at the L2 Lagrange point (~1.5 million km from Earth). Uses 18 gold-coated beryllium mirror segments forming a 6.5m primary mirror. Gold coating maximises reflectivity in infrared wavelengths. JWST observes the universe in infrared — can see through dust clouds, observe the earliest galaxies, and study exoplanet atmospheres. Not a UPSC distraction — it represents the pinnacle of optical engineering and international scientific collaboration.

ISRO's optical Earth observation satellites: CARTOSAT-3 (launched 2019) achieves 0.25m resolution — can distinguish objects 25 cm across from space. Used for: urban planning, disaster management, border surveillance, agricultural assessment. RESOURCESAT and RISAT series complement optical imagery with multispectral and radar imaging.

Laser technology: Laser (Light Amplification by Stimulated Emission of Radiation) produces coherent, monochromatic, collimated light. Applications: LIDAR (Light Detection and Ranging) in archaeology (mapping hidden temples under forest canopy — used at Angkor Wat), topographic mapping, autonomous vehicles; laser-guided munitions (precision strike capability); LASIK eye surgery (reshapes cornea to correct vision).


[Additional] 10a. Quantum Key Distribution — When Optical Fibre Carries Unbreakable Secrets

The chapter explains that optical fibres carry light signals via Total Internal Reflection (TIR) — light bouncing along a glass core without escaping. India's BharatNet is built on this principle. What is missing is the next-generation application of the same fibre infrastructure: Quantum Key Distribution (QKD), which uses individual photons (single particles of light) to transmit encryption keys that are physically impossible to intercept without detection. India's National Quantum Mission (NQM) has already achieved a 1,000 km QKD network.

Key Term

Why QKD Uses Optical Fibre — The TIR Connection:

Classical optical fibre (BharatNet): sends light pulses containing millions of photons → each pulse carries a classical "0" or "1" bit → can be intercepted, amplified, copied, and re-sent without the sender knowing.

QKD optical fibre (National Quantum Mission): sends individual photons — each photon carries a quantum bit (qubit) of information encoded in its polarisation or phase. The fundamental difference:

  • The no-cloning theorem (quantum mechanics) states that an unknown quantum state cannot be copied — an eavesdropper cannot measure the photon and resend a perfect copy
  • Any interception attempt disturbs the photon's quantum state (measurement collapses the superposition) → the sender and receiver detect the disturbance when they compare a subset of transmitted photons
  • If no eavesdropping is detected, the remaining photons form a mathematically provably secure encryption key

The fibre is the same — single-mode optical fibre using TIR (same principle this chapter explains) — but it operates at single-photon sensitivity levels (quantum optics regime). At ~200 km per hop (without quantum repeaters), trusted nodes relay the quantum key onward.

Why this matters: Current RSA and AES encryption can in principle be broken by future quantum computers. QKD provides information-theoretic security — secure even against unlimited computational power — because security derives from physics (quantum mechanics), not mathematical complexity.

UPSC Connect

[Additional] India's National Quantum Mission and QKD Milestones (GS3 — Science & Technology / Internal Security):

National Quantum Mission (NQM):

  • Cabinet approved: 19 April 2023
  • Total outlay: Rs 6,003.65 crore over 8 years (2023–24 to 2030–31)
  • Budget 2025-26: additional Rs 600 crore boost to NQM
  • Administered by: Department of Science & Technology (DST)
  • 4 thematic hubs: quantum computing, quantum communication, quantum sensing, quantum materials

NQM Quantum Communication targets:

  • Satellite-based QKD: 2,000 km QKD between ground stations within India using a quantum satellite (ISRO + Physical Research Laboratory + Space Applications Centre working on it)
  • Fibre-based QKD: 2,000 km inter-city QKD network using trusted nodes and existing telecom fibre
  • Quantum networks: Multi-node networks with quantum memories and entanglement swapping for eventual quantum internet

India's QKD milestones achieved:

  • November 2025 (ESTIC 2025): QNu Labs (a DST-NQM-supported startup) demonstrated India's first 500 km+ QKD network using trusted nodes, integrating with existing 10 Gbps telecom fibre (ARMOS QKD platform, 200 km per hop)
  • Early 2026: Minister Dr. Jitendra Singh announced a 1,000 km QKD network achieved — one of the world's longest QKD deployments; defence deployments (Army, Navy) already underway [PIB PRID: 2250162]
  • June 2025: DRDO + IIT Delhi demonstrated India's first indigenous free-space entanglement-based QKD over >1 km on IIT Delhi campus — key rate ~240 bits/second; quantum bit error rate <7%; entirely indigenous hardware [PIB PRID: 2136702]
  • Funding: Rs 614.31 crore sanctioned to Quantum Communication hubs at IIT Delhi, IIT Tirupati, IIT Patna, CDAC Bangalore, IISc Bangalore, Raman Research Institute, IIT Hyderabad [PIB PRID: 2150820]

China comparison (Micius quantum satellite):

  • China launched Micius satellite (August 2016); demonstrated QKD over 7,600 km between China and Austria (2017 intercontinental video call using quantum-secured keys); distributed entangled photon pairs to two ground stations 1,200 km apart
  • China has since built the world's largest QKD network (ground + satellite) — directly motivated India's NQM satellite component
  • India's NQM satellite-based QKD is targeted within the 8-year mission window (by 2031)

Internal security dimension (GS3): Conventional RSA encryption protects India's banking, defence, and government communications. Future quantum computers (expected within 10–15 years at scale) could break RSA. QKD provides the quantum-secure alternative — this is why India's defence establishments (Army, Navy) are already deploying QKD nodes. The 1,000 km network milestone means QKD-secured inter-city defence communications are now technically feasible within India.

UPSC synthesis: QKD is the application of TIR + single-photon physics (this chapter) → quantum mechanics (no-cloning theorem) → national security (encryption-proof communications) → India's NQM (policy response to quantum threat). The 1,000 km milestone (2026) and DRDO+IIT Delhi free-space demonstration (June 2025) make this a current-affairs-level science topic.

[Additional] 10b. Concentrated Solar Power and Thermal Energy Storage — Why CSP Can Do What PV Cannot

The chapter explains that parabolic concave mirrors focus sunlight to a focal line — the principle behind CSP (Concentrated Solar Power) plants. The chapter mentions India's CSP plants. What is missing is the key physics distinction: CSP stores heat, not electricity — making it the only solar technology that can generate electricity at night or during cloudy periods without expensive batteries. This "dispatchable solar" capability is why CSP is returning to India's policy agenda despite its higher cost.

Key Term

Why Thermal Energy Storage (TES) Changes CSP's Role — The Physics:

Solar photovoltaic (PV) panels convert sunlight directly to electricity → electricity must be used immediately or stored in batteries (expensive, limited duration, degrades over cycles).

CSP parabolic trough plants: sunlight → heat (400–550°C in heat transfer fluid) → steam → turbine → electricity. The crucial difference: heat is far cheaper to store than electricity.

Molten Salt Thermal Energy Storage (TES): The heat transfer fluid heats a two-tank molten salt system (cold tank: ~290°C; hot tank: ~560°C):

  • During sunshine: some heat goes to turbine (electricity now), surplus heat charges the hot salt tank
  • At night / cloudy periods: hot salt returns heat to the steam generator → turbine continues to produce electricity for 6–17 hours after sunset

The same optical concentrator (concave parabolic mirror) that this chapter discusses feeds a system that can shift electricity generation to peak demand times (evening/night) without any battery chemistry. This makes CSP a "solar baseload" technology — not an intermittent source.

Heliostat field (power tower / central receiver): An alternative CSP design where hundreds of flat mirrors (heliostats) track the sun and reflect onto a central receiver tower. Temperature: up to 1,000°C. The higher temperature enables more efficient steam cycles (supercritical steam).

UPSC Connect

[Additional] India's CSP Policy — From JNNSM Ambition to Dispatchable Solar Revival (GS3 — Energy / Environment):

India's CSP history — the policy collapse and revival:

  • Jawaharlal Nehru National Solar Mission (JNNSM) Phase I (2010–2013): Allocated 470 MW of CSP projects — 200 MW CSP + 400 MW PV in Phase I targets
  • Actual commissioning: Only ~200–230 MW CSP commissioned by 2014–2016; India's installed CSP capacity stands at approximately 227.5 MW as of 2025 (primarily parabolic trough plants in Rajasthan and Andhra Pradesh)
  • JNNSM Phase II (2014 onwards): Abandoned CSP targets entirely; 750 MW batch was 100% PV — CSP was priced out (CSP LCOE ~₹10–14/kWh vs PV ~₹2–3/kWh without storage)
  • Why CSP stalled: Capital costs 2.5–3x higher than PV; lack of domestic manufacturing ecosystem; PV prices fell 90% between 2010 and 2020

The case for CSP revival — dispatchable solar: Without storage, PV causes "duck curve" problems — large PV generation during noon reduces grid prices to near-zero, while evening demand peaks require expensive gas/diesel backup. CSP with TES directly addresses this:

  • 6–17 hours of thermal storage = generation shifted to evening peak demand
  • Grid operators can dispatch CSP like a conventional thermal plant (controllable output)
  • No battery degradation — molten salt systems have 25+ year lifespans
  • High-temperature heat (600–1,000°C) can decarbonise industrial processes (cement, steel, chemicals) alongside electricity

India's policy revival signals (2024–2025):

  • SECI (Solar Energy Corporation of India): Announced plans in July 2024 to float a 500 MW CSP tender by FY2024-25 end — targeting CSP with thermal storage to provide dispatchable solar power
  • TERI (2024 report): Recommended CSP-with-storage as essential for India's 500 GW renewable target by 2030 — the only proven large-scale dispatchable solar technology
  • MNRE Solar Thermal Policy: MNRE's solar thermal roadmap includes CSP for industrial heat (solar steam for textiles, food processing, pharma) alongside grid power

India's specific CSP context:

  • Rajasthan + Gujarat: Highest Direct Normal Irradiance (DNI) in India (>2,000 kWh/m²/year) — the critical resource for CSP (requires direct, not diffuse, sunlight; unlike PV which uses global horizontal irradiance)
  • Incompatibility with the chapter's claim: The chapter mentions NTPC operating CSP plants — India's CSP landscape is primarily private sector (Megha Engineering, Rajasthan Sun Technique, Godawari Power and Irrigation); NTPC's CSP footprint is smaller

UPSC synthesis: CSP + TES connects this chapter's parabolic mirror physics (reflection, focal point) to India's most important energy policy challenge — grid integration of intermittent renewables. PV provides cheap electrons during the day; CSP with TES provides controllable electrons around the clock. The chapter already explains the optics; understanding TES explains why CSP costs more but delivers something PV alone cannot. As India approaches 500 GW renewable by 2030 with increasing grid instability, the dispatchability advantage of CSP with molten salt storage becomes a strong policy rationale — reflected in SECI's 2024 revival signal.

[Additional] 10b. India's Optical Astronomy — TMT, AstroSat UVIT, Cartosat-3, and Devasthal

The chapter covers reflection by mirrors, refraction through lenses, and the principles of telescopes (reflecting + refracting). India's frontier astronomy programme — TMT (Thirty Meter Telescope), AstroSat UVIT, Cartosat-3, and Devasthal — directly applies the same Ch10 optics principles at scientific scale.

Key Term

Key Terms — Optical Astronomy and Earth Observation:

TermMeaning
Reflecting telescopeUses a curved primary mirror to gather and focus light (vs refracting telescope using lenses); ALL modern large telescopes are reflectors because large mirrors are easier to build than large lenses
ApertureDiameter of the primary mirror; larger aperture = more light gathered = fainter objects visible; the headline spec of any telescope
TMT (Thirty Meter Telescope)International next-generation optical/IR ground-based reflecting telescope; primary mirror 30 m diameter = 492 hexagonal segments; site = Mauna Kea, Hawaii
AstroSatIndia's first multi-wavelength space observatory; launched 28 September 2015 by PSLV-C30; carries UVIT (twin Ritchey-Chrétien reflectors) + 4 other instruments
UVIT (Ultra-Violet Imaging Telescope)Two 38 cm co-aligned reflecting telescopes onboard AstroSat covering FUV, NUV, and Visible wavelengths
Cartosat-3ISRO's high-resolution Earth observation satellite; launched 27 November 2019 by PSLV-C47; PAN resolution 0.25 m = highest civilian resolution in ISRO fleet
DOT (Devasthal Optical Telescope)India's 3.6-m reflector at Devasthal, Uttarakhand; Asia's largest by aperture; operational since 2016
UPSC Connect

[Additional] Indian Optical Astronomy — Reflection-Refraction Physics in Frontier Science (GS3 — Science and Technology):

Thirty Meter Telescope (TMT) — India's biggest astronomy commitment:

ParameterDetail
India's full partnership2 December 2014
SiteMauna Kea, Hawaii (USA) (proposed alternate: La Palma, Spain)
Partner countriesUSA, Canada, Japan, China, India
India's contribution~10% of project cost
Primary mirror30 metres diameter = 492 hexagonal segments (~1.45 m each)
Resolution12.5× sharper than Hubble Space Telescope; 144× the light-gathering area of HST
Indian institutesIIA Bengaluru (lead), IUCAA Pune, ARIES Nainital
Indian agenciesDST + DAE jointly funding
StatusConstruction paused since 2015 due to protests by Native Hawaiian groups; alternate site (La Palma, Canary Islands) considered

AstroSat — India's space-based observatory:

ParameterDetail
Launch28 September 2015 by PSLV-C30
Orbit650 km circular, 6° inclination
Payloads5 instruments — UVIT, SXT (Soft X-ray Telescope), LAXPC (Large Area X-ray Proportional Counter), CZTI (Cadmium Zinc Telluride Imager), SSM (Scanning Sky Monitor)
UVIT specificationsTwo 38 cm Ritchey-Chrétien reflecting telescopes — one for FUV (130-180 nm), one for NUV (200-300 nm) + Visible channel
Multi-wavelengthUV + X-ray + Visible simultaneously — unique capability
StatusOperational; major discoveries on black holes, neutron stars, galaxy mergers

Cartosat-3 — Earth observation from space:

ParameterDetail
Launch27 November 2019 by PSLV-C47
OrbitSun-synchronous, 509 km
PAN resolution0.25 m (highest in ISRO fleet)
Multispectral resolution1.13 m (4 bands)
Swath16 km
ApplicationsUrban planning, rural development, infrastructure, disaster management, military reconnaissance
OperatorISRO + NRSC (National Remote Sensing Centre)

Devasthal Optical Telescope (DOT) and other Indian observatories:

TelescopeLocationApertureOperator
DOT (Devasthal Optical Telescope)Devasthal, Uttarakhand3.6 mARIES (Aryabhatta Research Institute of Observational Sciences)
StatusAsia's largest by aperture, operational since 2016
SignificanceFirst fully Indian large optical reflector; built by AMOS (Belgium)
GROWTH-IndiaHanle, Ladakh0.7 mIIA + IIT Bombay
Indian Astronomical ObservatoryHanle, Ladakh (4,500 m altitude)2 m (Himalayan Chandra Telescope)IIA
ARIES 1.3 mDevasthal1.3 mARIES

Connecting Chapter 10 to telescope design:

NCERT conceptTelescope application
Reflection by concave mirrorPrimary mirror gathers parallel light from distant stars to a focus
Image formation at focal pointCamera/detector placed at focal point captures the image
Refraction through lensesSecondary mirrors + corrector plates use refraction principles
Resolving powerLarger aperture = better angular resolution (Rayleigh criterion ≈ 1.22 λ/D); 30 m TMT can resolve smaller angles than 2.4 m Hubble
Light-gatheringProportional to aperture squared; 30 m² area vs 38 cm² makes TMT ~10,000× more light-sensitive

UPSC synthesis: Key exam facts: TMT = India full partner 2 December 2014 = Mauna Kea, Hawaii (USA) = 30 m aperture = 492 hex segments = India ~10% share = funded by DST + DAE = lead institute IIA Bengaluru; AstroSat launched 28 September 2015 by PSLV-C30 = 5 payloads including UVIT (twin 38 cm reflectors); Cartosat-3 launched 27 November 2019 by PSLV-C47 = PAN resolution 0.25 m (highest in ISRO fleet); Devasthal Optical Telescope (DOT) = 3.6 m = Asia's largest = ARIES Nainital = operational 2016. Prelims trap: TMT site = Mauna Kea, HAWAII (NOT in India — it's an India-funded international project); India is in TMT only (NOT in GMT — Giant Magellan Telescope, Chile; NOT in ELT — Extremely Large Telescope, Chile — those are different projects); Cartosat-3 PAN resolution = 0.25 m (often given as 0.28 m or 0.31 m in coaching material — confirmed value is 0.25 m); AstroSat is India's first multi-wavelength space observatory (NOT first space telescope — that was earlier Aryabhata 1975 satellite); TMT funding from DST + DAE (NOT ISRO — ISRO does space missions; ground-based telescopes are DST/DAE).

Exam Strategy

Prelims traps:

  • Concave mirror focal length is negative (by sign convention); convex mirror focal length is positive — the opposite of what intuition might suggest for a "converging" mirror.
  • Convex mirror always gives virtual, erect, diminished image — regardless of object distance.
  • Optical fibre uses TIR — the light stays in the denser medium; this is NOT the same as refraction.
  • Power of lens: concave = negative dioptre; convex = positive dioptre. A spectacle prescription of "−2.5 D" means a concave lens for myopia correction.
  • Refractive index of diamond (2.42) — highest among common solids — is why diamonds sparkle so intensely.
  • The mirage is caused by TIR in air layers of different temperatures, not by reflection from hot ground.

Practice Questions

Prelims:

  1. Which of the following correctly explains why optical fibre cables can transmit data over long distances with minimal signal loss?
    (a) Refraction causes light to speed up in the glass core
    (b) The glass core has a lower refractive index than the cladding
    (c) Total internal reflection keeps light within the denser glass core
    (d) Diffuse reflection within the fibre amplifies the signal

  2. With reference to solar energy technology, a parabolic trough solar concentrator uses which optical principle?
    (a) Refraction through a convex lens
    (b) Reflection from a curved concave surface to focus sunlight at a focal line
    (c) Total internal reflection in glass tubes
    (d) Diffuse reflection to heat a wide collector area

Mains:

  1. "BharatNet is as much a triumph of physics as it is of policy." Explain the scientific principle underlying optical fibre communication and assess the progress and challenges of the BharatNet project in bridging India's digital divide. (CSE Mains 2023, GS Paper 3, 15 marks)