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Graduate Level intermediate Physics Light Sound Optics Waves Reflection Refraction

Science: Light and Sound — Physics for PSC

Complete notes on reflection, refraction, lenses, mirrors, sound waves, and Doppler effect for Kerala PSC graduate level exams.

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Complete notes on reflection, refraction, lenses, mirrors, sound waves, and Doppler effect for Kerala PSC graduate level exams.

#Physics #Light #Sound #Optics #Waves #Reflection

Light and Sound are consistently tested in Kerala PSC Science sections. Questions focus on mirror/lens properties, optical phenomena, and sound-related concepts. Expect 2-3 questions per paper.

Nature of Light

PropertyDetails
NatureElectromagnetic wave (also behaves as particle — photon); wave-particle duality
Speed in vacuum3 x 10^8 m/s (approximately 3 lakh km/s)
Speed in mediumSlower than vacuum; slowest in denser medium
Does not requireMedium for propagation (travels through vacuum)
Discovered wave natureChristian Huygens (wave theory); Thomas Young (double-slit experiment proved it)
Discovered particle natureAlbert Einstein (photoelectric effect, 1905)
Electromagnetic spectrumRadio waves - Microwaves - Infrared - Visible light - UV - X-rays - Gamma rays (increasing frequency)

Reflection of Light

Law/ConceptDetails
First LawIncident ray, reflected ray, and normal all lie in the same plane
Second LawAngle of incidence = Angle of reflection
Regular reflectionFrom smooth surfaces (mirror) — clear image
Diffuse/Irregular reflectionFrom rough surfaces — scattered light, no clear image

Mirrors

Types of Mirrors

TypeShapeUses
Plane MirrorFlatDressing tables, periscopes; image is virtual, erect, same size, laterally inverted
Concave MirrorCurves inward (converging)Shaving mirrors, torch reflectors, headlights, dental mirrors, solar furnaces
Convex MirrorCurves outward (diverging)Rear-view mirrors in vehicles (wider field of view); image always virtual, erect, diminished

Concave Mirror — Image Formation

Object PositionImage PositionNature of Image
At infinityAt Focus (F)Real, inverted, point-sized
Beyond C (Centre of curvature)Between F and CReal, inverted, diminished
At CAt CReal, inverted, same size
Between F and CBeyond CReal, inverted, magnified
At FAt infinityReal, inverted, highly magnified
Between F and PoleBehind mirrorVirtual, erect, magnified

Mirror Formula and Terms

TermSymbolDefinition
Focal lengthfDistance from pole to focus (f = R/2)
Radius of curvatureRDistance from pole to centre of curvature
Mirror formula1/v + 1/u = 1/fv = image distance, u = object distance
Magnificationm = -v/uNegative = inverted; positive = erect

Refraction of Light

ConceptDetails
DefinitionBending of light when it passes from one medium to another
CauseChange in speed of light between media
Denser to rarerLight bends away from normal (speed increases)
Rarer to denserLight bends towards normal (speed decreases)
Snell’s Lawn1 sin(i) = n2 sin(r); where n = refractive index
Refractive indexRatio of speed of light in vacuum to speed in medium (n = c/v)

Refractive Indices (approximate)

MediumRefractive Index
Vacuum1.00
Air1.0003 (approximately 1)
Water1.33
Glass1.50 (varies by type)
Diamond2.42

Phenomena Due to Refraction

PhenomenonExplanation
Twinkling of starsAtmospheric refraction — light passes through layers of different density
Apparent position of starsStars appear slightly higher than actual position due to atmospheric refraction
Early sunrise and delayed sunsetSun visible about 2 minutes before actual sunrise due to atmospheric refraction
Pool appears shallowLight bends away from normal as it exits water; bottom appears raised
MirageTotal internal reflection of light in hot air layers near ground
RainbowDispersion + internal reflection + refraction in water droplets
Broken pencil in waterRefraction at water-air interface

Total Internal Reflection

ConceptDetails
Condition 1Light must travel from denser to rarer medium
Condition 2Angle of incidence must be greater than critical angle
Critical angleAngle of incidence at which angle of refraction = 90 degrees
ApplicationsOptical fibre, diamond sparkle, mirage, prism binoculars
Diamond sparkleHigh refractive index (2.42) means small critical angle (24.4 degrees) — more total internal reflection

Lenses

TypeShapeNature
Convex (Converging)Thicker in middleConverges light rays; used in magnifying glass, camera, human eye, microscope, telescope
Concave (Diverging)Thinner in middleDiverges light rays; used to correct myopia (short-sightedness); image always virtual, erect, diminished

Lens Formula

FormulaDetails
Lens formula1/v - 1/u = 1/f
Power of lensP = 1/f (in metres); unit = Dioptre (D)
Convex lens powerPositive
Concave lens powerNegative
Magnificationm = v/u = h’/h

Dispersion of Light

ConceptDetails
DefinitionSplitting of white light into 7 colours by a prism
Colours (VIBGYOR)Violet, Indigo, Blue, Green, Yellow, Orange, Red
Most deviatedViolet (shortest wavelength, highest frequency)
Least deviatedRed (longest wavelength, lowest frequency)
RainbowNatural dispersion; primary rainbow — red outside, violet inside; secondary — reversed
RecombinationNewton’s disc (spinning disc with 7 colours appears white)

Defects of Vision

DefectProblemCorrected By
Myopia (Short-sightedness)Cannot see distant objects; image forms before retinaConcave lens
Hypermetropia (Long-sightedness)Cannot see near objects; image forms behind retinaConvex lens
PresbyopiaAge-related; cannot see near objectsBifocal lens
AstigmatismUneven cornea curvature; blurred visionCylindrical lens

Sound

Nature of Sound

PropertyDetails
TypeMechanical wave (requires medium)
NatureLongitudinal wave (compressions and rarefactions)
Cannot travel throughVacuum
Speed in air (20 C)343 m/s (approximately)
Speed orderSolid (fastest) then Liquid then Gas (slowest)
Speed in waterAbout 1500 m/s
Speed in steelAbout 5000 m/s
Frequency range (human)20 Hz to 20,000 Hz (audible range)

Properties of Sound Waves

PropertyDetails
PitchRelated to frequency — higher frequency = higher pitch
LoudnessRelated to amplitude — larger amplitude = louder sound
Quality/TimbreDistinguishes same note played on different instruments; related to waveform
IntensitySound energy per unit area per unit time; unit = W/m^2
Loudness unitDecibel (dB); threshold of hearing = 0 dB; normal conversation = 60 dB; pain threshold = 120 dB

Types of Sound by Frequency

TypeFrequency RangeExamples
InfrasonicBelow 20 HzEarthquakes, whale communication, volcanic eruptions
Audible (Sonic)20 Hz to 20,000 HzSpeech, music, everyday sounds
UltrasonicAbove 20,000 HzBat navigation (echolocation), SONAR, medical ultrasonography, cleaning jewellery

Echo

ConceptDetails
DefinitionRepetition of sound due to reflection from a surface
Minimum distance17.2 metres (at 20 C in air) — for distinct echo; based on persistence of sound in ear (0.1 seconds)
ReverberationMultiple reflections of sound in enclosed space; persistence of sound
ApplicationsStethoscope, megaphone, ear trumpet use reflection of sound

Doppler Effect

ConceptDetails
DefinitionApparent change in frequency of sound when source and observer are in relative motion
Source approachesFrequency appears to increase (higher pitch); wavelength decreases
Source recedesFrequency appears to decrease (lower pitch); wavelength increases
Everyday exampleAmbulance siren — higher pitch approaching, lower pitch moving away
ApplicationsRADAR speed guns, SONAR, measuring star velocities (red shift/blue shift), medical Doppler ultrasound
Not applicable whenSource and observer both stationary relative to each other
Light analogyRed shift (receding — lower frequency); Blue shift (approaching — higher frequency)

SONAR

FactDetails
Full formSound Navigation and Ranging
UsesDetecting underwater objects (submarines, depth of ocean, fish shoals)
PrincipleUltrasonic waves sent; echo received; distance = (speed x time) / 2
InventedPaul Langevin (1917, during World War I)

Quick Recall — PSC Favourites

QuestionAnswer
Speed of light in vacuum?3 x 10^8 m/s
Speed of sound in air?343 m/s (approximately)
Sound travels fastest in?Solids
Human audible range?20 Hz to 20,000 Hz
Myopia corrected by?Concave lens
Hypermetropia corrected by?Convex lens
Rear-view mirror type?Convex mirror
Shaving mirror type?Concave mirror
Rainbow is caused by?Dispersion + total internal reflection + refraction
VIBGYOR — most deviated colour?Violet
Least deviated colour?Red
Doppler effect for approaching source?Higher pitch (increased frequency)
SONAR uses which waves?Ultrasonic waves
Minimum distance for echo?17.2 metres
Optical fibre works on?Total internal reflection
Twinkling of stars due to?Atmospheric refraction
Refractive index of diamond?2.42
Unit of power of lens?Dioptre (D)
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