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The document provides comprehensive notes for NDA and NA exam preparation in Physics, covering essential topics such as measurements, optics, motion, and energy. It outlines fundamental and derived quantities, units of measurement, and key concepts in optics including reflection and refraction. Additionally, it includes important formulas and applications of mirrors and lenses, aimed at aiding students in their understanding of physics principles.
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Save Physics Book NDA For Later ESSN EB EN a TNS eR BY SSP SOU MONTY OI UA ACTUATE
For NDA &
NA EXAMS
PHYSICS
We have designed these notes based on the syllabus
that UPSC provide. This content provide you the
exact guidance for you prepration to crack the NDA
& NA exam.
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CONTENT
UNIT & MEASUREMENTS
OPTICS
MOTION
FORCE
CURRENT ELECTRICITY
MAGNETISM
GRAVITATION
HEAT & TEMPERATURE
MECHANICAL PROPERTIES
» SOLIDS
»~ FLUIDS
WORK; POWER. & ENERGY
WAVE MOTION & SOUND
SIMPLE\HARMONIC MOTION (SHM)2|Page
PHYSICAL QUANTITY,
ANYTHING THAT CAN BE EXPRESSED IN NUMBERS IS CALLED QUANTITY.
EXAMPLE- LENGTH, MASS, TEMPERATURE, TIME, FORCE, SPEED, DISTANCE,
ACCELERATION, VELOCITY, MOMENTUM, CURRENT, ETC.
TYPES OF PHYSICAL QUANTITIES
1, FUNDAMENTAL/BASE QUANTITY
> THOSE QUANTITIES WHICH DO NOT DEPENDS ON THE OTHER PHYSICAL,
QUANTITIES
EXAMPLE- LENGTH, MASS, ELECTRIC CURRENT}TIME, TEMPERATURE,
LUMINOUS INTENSITY, AMOUNT OF SUBSTANCE,
2. DERIVED QUANTITIES
> THE QUANTITIES WHICH ARE DERIVED FROMTHE FUNDAMENTAL QUANTITIES,
EXAMPLE- WORK, FORCE, PRESSURE, AREA, VOLUME, ENERGY.
3, SUPPLEMENTARY QUANTITY
> SUPPLEMENTARY UNITS ARE THE DIMENSIONLESS UNITS THAT ARE USED.
ALONG WITH THE BASE UNITS TO FORM DERIVED UNITS IN THE INTERNATIONAL
SYSTEM
> SUPPLEMENTARY QUANTITIES ARE GEOMETRICAL QUANTITIES OF CIRCLE AND
SPHERE.
ON THE BASIS OF DIRECTION & MAGNITUDE,
1, SCALAR QUANTITY,
ASCALAR QUANTITY IS DEFINED AS THE PHYSICAL QUANTITY THAT HAS ONLY
MAGNITUDE.
\_ EXAMPLE: DISTANCE, ENERGY. POWER, TIME, SPEED, DENSITY, PRESSURE,
WORK, CHARGE, ELECTRIC CURRENT, TEMPERATURE, MASS, FREQUENCY,
SPECIFIC HEAT.
2. VECTOR QUANTITY
AVECTOR QUANTITY IS DEFINED AS THE PHYSICAL QUANTITY THAT HAS BOTH
MAGNITUDE AS WELL AS DIRECTION.
> EXAMPLE: DISPLACEMENT, VELOCITY, TORQUE, POSITION, ACCELERATION,
FORCE, WEIGHT, MOMENTUM, IMPULSE, ELECTRIC FIELD, MAGNETIC FIELD,
(CURRENT DENSITY, ANGULAR VELOCITY3|Page
UNIT
UNIT IS THE QUANTITY OF A CONSTANT MAGNITUDE WHICH IS USED TO MEASURE,
THE MAGNITUDES OF OTHER QUANTITIES OF THE SAME NATURE,
PHYSICAL QUANTITY = (NUMERICAL VALUE) » (UNIT).
FUNDAMENTAL UNIT.
THE UNIT OF FUNDAMENTAL PHYSICAL QUANTITY IS CALLED FUNDAMENTAL,
UNIT.
> SEVEN FUNDAMENTAL UNITS ARE:
METER (M)
I. KILOGRAM (KG)
m. — SECOND(S)
Iv. AMPERE (A)
Vv. KELVIN (kK)
vi. CANDELA (CD)
vil. MOLE (MOL)
> THESE QUANTITIES ARE INDEPENDENT OF EACH OTHER
DERIVED UNITS
> UNITS OF ALL OTHER PHYSICAL QUANTITIES EXCEPT FUNDAMENTAL,
PHYSICAL QUANTITIES WHICH ARE OBTAINED WITH THE HELP OF
FUNDAMENTALS UNITS
> EXAMPLE: UNITS OP‘AREA, DENSITY, SPEED, WORK, FORCE, ENERGY,
ACCELERATION, MOMENTUM
SUPPLEMENTARY UNITS,
> \ THE UNITS USE FOR SUPPLEMENTARY QUANTITIES.
> \EXAMPLE®UNITS OF PLANE ANGLE AND SOLID ANGLE,
SYSTEM OF UNITS,
1, MKS SYSTEM
2. CGS SYSTEM
3. FPS SYSTEM
4. SISYSTEM
FUNDAMENTAL UNIT AND THEIR SYMBOL,
‘SYMBOL NAME BASE QUANTITY4|Poge
M METER LENGTH
A AMPERE, ELECTRIC CURRENT
MOL MOLE AMOUNT OF SUBSTANCE,
SUPPLEMENTARY UNITS AND THEIR SYMBOLS
UNIT
PHYSICAL QUANTITY
‘SOLID ANGLE ‘STERADIAN
IMPORTANT FORMULA OF DERIVED UNITS,S|Page
TIME
METRIC PREFIX FOR PO! - : 7 :
WER 10
ZETTA 107 Zz
1
ATTO 101 A
YOCTO 1024 M4
SS
DIMENSIONS OF PHYSICAL QUANTITIES6|Page
MASS{M1 LENGTHIL) TIME]
ELECTRIC CURRENTA] TEMPERATUREAK] LUMINOUS:
INTENSITY{CD] AMOUNT OF SUBSTANCE{MOL]
DIMENSIONS TABLE
DERIVED
DIMENSIONS SI. UNIT SYMBOL
QUANTITY,
1 AREA [Lemors] SQUARE METER Me
2 VOLUME [LsmeTo] CUBIC METER Me
KILOGRAM PER
3 DENSITY [LsM'T] KG/M?
‘CUBIC METER
4 VELOCITY Lier] METERPER SECOND M/S
METERPER SQUARE
5 ACCELERATION [L'MeT2] M/S?
SECOND
KILOGRAM METER
6 = MOMENTUM lim KG M/S
PER SECOND
7 _ FORGE! Iui't2) NEWTON N
8 IMPULSE ('M'T'] NEWTON SECOND NS
9 \ WORK [LeM'T2] JOULE J
10 KINETIC ENERGY (L2m'T?] JOULE J
POTENTIAL
"1 Lem'r] JOULE J
ENERGY
12 POWER [Lem'Ts] WATT w7|Page
13
14
15
16
PRESSURE
[e'm'T4]
ELECTRIC CHARGE [L°M°T'I']
ELECTRIC
CURRENT
ELECTRIC
POTENTIAL
(eM! T"]
[lems]
NEWTON PER
N/M2
SQUARE METRE
‘COULOMB c
OHM 2
VOLT v8 Page
> ITISTHE BRANCH OF SCIENCE IN WHICH WE STUDY ABOUT LIGHT AND ITS.
PROPERTIES, NATURE ETC.
# CLASSIFIED INTO TWO TYPES
1. RAY OPTICS- DEALS WITH LIGHT RAYS LINEAR PROPAGATION OF LIGHT
SUCH AS REFLECTION, REFRACTION, DISPERSION ETC
2. WAVE OPTICS- DELAS WITH WAVE NNATURE OF LIGHT SUCH AS.
POLARISATION, DIFFRACTION
LIGHT
> FORM OF ENERGY THAT MAKES US TO SEE.
> AN OBJECT REFLECTS THE LIGHT THAT FALLS ON IT. THIS REFLECTED LIGHT,
WHEN RECEIVED BY OUR EYES, ENABLES USO SEE
> WE ARE ABLE TO SEE THROUGH A TRASNPARENT MEDIUM AS LIGHT IS.
TRANSMITTED THROUGH IT
> — SPPED OF LIGHT-3°108M/S
# PROPERTIES OF LIGHT
> IT TRAVELS IN A‘STRAIGHT,LINE
+ ASTRAIGHT LINE'DRWAN IN THE DIRECTION OF PROPAGATION OF LIGHT IS
CALLED A RAY.OF LIGHT
> | ABUNDLE OF ADJACENT LIGHT RAYS IS CALLED BEAM OF LIGHT
>| SPEED OF LIGHTN VACCUM IS 3°10°M/S, BUT DIFFERENT IN DIFFERENT MEDIA
— \ THE SPEED AND WAVELENGTH OF LIGHT DECREASES WHEN IT TRAVELS FROM
(QNE MEDIUM TO ANOTHER BUT ITS FREQUENCY REMAINS UNCHANGED
SPPED OF LIGHT IN SOME MEDIUM
MEDIUM ‘SPEED OF LIGHT
VACCUM STO M/S
WATER 2.25°10°M/S
OIL OF TARPIN 2.04108 M/S
GLASS 21108 M/S.
ROCK SALT 1.96108 M/S
NYLON 1.96°10° M/S9|Page
=
SHADOW
WHEN AN OPAQUE BODY IS PLACED IN FRONT OF SOURCE OF LIGHT LIKE THE,
SUN, THEN BEHIND THE OPAQUE BODY A BLACK OR DARK REGION APPERAS
WHICH IS CALLED SHADOW
TYPES OF SHADOW
DEPENDS ON THE TYPES OF SOURCES OF LIGHT
1, UMBRA- SOURCES OF LIGHT IS POINT SOURCE
2. PENUMBRA: FOR AN EXTENDED SOOURCE OF LIGHT
ECLIPSE
‘SOLAR ECLIPSE: WHEN THE MOON COMES B/W THE SUN AND THE EARTH,
THEN THE SHADOW OF THE MOON FALLS UPON THE EARTH AND FORM
SHADOW REGION THE SUN IS NOT VISIBLE,
ON FULL MOON
LUNAR ECLIPSE: WHEN THE EARTH COMES B/W THE SUN AND THE MOON,
THEN THE SHADOW OF THE EARTH FALLS ON THE MOON, THEN THE SHADOW,
REGION @F/THE MOON IS NOT VISIBLE AND THIS POSITION IS CONSIDERED AS
WUNAR.ECLIPSE
ON'NEW MOON
NOTE: ECLIPSE DO NOT OCCUR EACH AND EVERY MONTH BECAUSE THE EQUITORIAL
ORBIT OF THE EARTH MAKES AND ANGLE OF 50 TO 70 DEGREE WITH THE AXIAL AXIS
OF MOON
=
#
REFLECTION OF LIGHT
THE PHENOMENON OF REBOUNCING BACK OF LIGHT RAYS IN SAME MEDIUM.
ON STRIKING A SMOOTH SURFACE, IS CALLED REFLECTION OF LIGHT
LAW OF REFLECTION10| Page
1, INCIDENT RAY, REFLECTED RAY AND NORMAL ALL LIE IN THE SAME,
PLANE,
2. ANGLE OF INCIDENCE IS EQUAL TO ANGLE OF REFLECTION.
+ SILVER METAL IS THE ONE OF THE BEST REFLECTORS,
> LAWS OF REFLECTION APPLY TO ALL KINDS OF REFLECTING SURFACE,
Mirror reflection Specular reflection _ Diffuse reflection
Incident ray Normal Reflected ray
eget sage ot
saaiaee
PLANE MIRROR
> IMAGE FORMED BY PLANE MIRROR IS ALWAYS VIRTUAL, ERECT AND EQUAL IN
SIZE TO THE OBJECT
> THE IMAGE FORMED IS FAR BEHIND THE MIRROR AS THE OBJECT IS INFRONT
OF IT
+ LINEAR MAGNIFICATION =
NOTE
+ THE MINIMUN SIZE OF THE MIRROR REQUIRED TO SEE THE FULL IMAGE OF AN
OBSERVERS THE\HALF OF THE HEIGHT OF THE OBSERVER
+ AF THE PLANE MIRROR IS ROTATED IN THE PLANE OF INCIDENCE BY AN ANGLE,
0, THEN THE REFLECTED RAY ROATES BY ANGLE
> \FOCAL LENGTH: INFINITE, POWER-O
WHEN TWO MIRRORS ARE FACING EACH OTHER AT AN ANGLE @ AND AN
OBJECTS PLACED B/W THEM
+
1, NUMBER OF IMAGES GIVEN BY N= 360/@-1, IF 360/@ IS EVEN OR OBJECT
LIES SYMMETRICALLY
2. NUMBER OF IMAGES IS GIVEN BY N= 360/@, IF 360/@ IS ODD OR OBJECT
LIES ASYMMETRICALLY
SPHERICAL MIRROR
1, CONCAVE MIRROR
2. CONVEX MIRROR11| Page
IMAGE
IF LIGHT RAYS COMING FROM A POINT AFTER REFLECTION MEET AT ANOTHER POINT
OR APPEAR TO COME FROM ANOTHER POINT, THEN THE SECOND POINT IS CALLED
THE IMAGE OF THE FORST POINT
TYPES OF IMAGE
1. REAL IMAGE: IF THE LIGHT RAYS COMING FROM A POINT ACTUALLY, MEET.
AFTER REFLECTION
2. VIRTUAL IMAGE: IF THE LIGHT RAYS COMING FROM A POINT, AFTER
REFLECTION DOES NOT MEET ACTUALLY, BUT APPEAR TO COME FROM)
ANOTHER POINT
NOTES
— IF HALF OF THE MIRROR IS COVERED, THEN IMAGE FORMED IS'\COMPLETE BUT
ITS INTENSITY REDUCES(BECAUSE LESS AMOUNT OF LIGHTIIS REFLECTED
FROM THE MIRROR)
Image formed by Concave Mirror:
Position | Position | nature Ray
of or ‘of
object image | image diagram
Real,
Inverted,
mat At =a c iP
infinity focus diminished
Between | inverted
a Fandc and
Giip AL ate
uw Beyond | inverted ce iP
Between c ‘and
Fand C oaned a
(Ate12| Page
Convex mirror
Ray diagram
Object position
Image position
Nature of image
@
Between
infinity and
the pole
Behind the
mirror between
the focus and
the pole
Virtual, smaller and
erect
©
a
Infinity
At infinity
Behind the
mirror at the
focus F
Virtual, point-sized
and erect
USES OF MIRRORS.
1, PLANE MIRRORS:
+ LOOKING GLASS
> USED IN MAKING PERISCOPES WHICH IS USED SUBMARINES,
+ USED AT BLIND TURNS OF SOME BUSY ROADS, TO SEE THE VEHICLES COMING
FROM OTHER SIDE
~ USED TO MAKE KALEIDOSCOPE, A TOY WHICH / PRODUCES BEAUTIFUL,
PATTERNS FROM COLOURED PAPER, PIECES OF GLASS OR SMALL COLOUR
BEADS
2. CONCAVE MIRRORS
> USED IN TORCHES, SEARCHLIGHT, VEHICLES HEADLIGHTS TO GET
POWERFULL PARALLEL BEAMSOF LIGHT
> SHAVING MIRRORS\TO SEE LARGE IMAGE OF FACE
>| DENTIST TO SEE'LARGE IMAGES OF TEETH
> \TO CONCENTRATE SUNLIGHT TO PRODUCE HEAT IN SOLAR FURNACES
3. CONVEX MIRROR
+ USED AS REAR VIEW MIRRORS IN VEHICLES BECAUSE THEY ALWAYS GIVE
AN ERECT IMAGE AND HAVE WIDER FIELD OF VIEW AS THEY ARE CURVED
OUTWARDS
> ASSHOP SECURITY MIRRORS,
MIRROR FORMULA AND LINEAR MAGNIFICATION
11113| Page
# MAGNIFICATION: THE RATIO OF SIZE OF THE IMAGE FORMED BY A SPERICAL
MIRROR TO THE SIZE OF THE OBJECT
Image Size
Object Size
+ MP1, IMAGE ENLARGED
-» M&1, IMAGE DIMINISHED
-» M=1, IMAGE SAME,
REFRACTION OF LIGHT
> CHANGE IN PATH OF LIGHT RAY AS IT PASSES FROM ONE ME! TO ANOTHER
> RARER TO DENSAR-TOWARDS THE NORMAL
> DENSAR TO RARER-AWAY FROM THE NORI ‘O
ITERS A DENSAR MEDIUM, ITS SPEED REDUCES AND IT BENDS
‘HE NORMAL AND WHEN IT ENTERS RARER MEDIUM, ITS SPEED
INCREASES AND IT BENDS AWAY FROM THE NORMAL,
# EVERYDAY SCIENCE
> THE BOTTOM OF A TANK OR POND CONTAINING WATER APPEARS TO BE
RAISED
> THE LETTERS APPEAR RAISED WHEN VIEWED THROUGH A GLASS SLAB
PLACED OVER A DOCUMENT
> APENCIL PARTIALLY IMMERSED IN WATER APPEARS TO BE BROKEN14|Page
+ ALEMON KEPT IN WATER IN A GLASS APPEARS TO BE BIGGER
REFRACTIVE INDEX
> THE RATION OF SPEED OG LIGHT IN VACUUM TO THE SPEED OF LIGHT IN ANY
MEDIUM
> THE REFRACTIVE INDEX OF A MEDIUM RELATIVE TO ANOTHER MEDIUM, IS
KNOWN AS THE RELATIVE REFRACTIVE INDEX.
LAWS OF REFRACTION
# SNELL'S LAW
I. THE INCIDENT RAY, REFRACTED RAY AND.NORMAL ALL THREE LIE IN
SAME PLANE,
Il, THE RATION OF SIN OF ANGLE OF INCIDENCE\TO THE SINE OF ANGLE OF
REFRACTION REMAINS CONSTANT FOR A PAIR OF MEDIA,
= constant
REFRACTION BY SPHERICAL LENSES,
+ LENS IS A TRANSPARENT MEDIUM BOUNDED BY TWO SURFACES OF WHICH,
ONE OR BOTH SURFACES ARE SPHERICAL,
lL CONVEX LENS
Il, CONCAVELENS
CONVEX LENS
>| CONVERGING'LENS
~ \ THICKERIAT THE CENTRE AND THINNER AT ITS END
jouble convex Lens (t) Plano-convex Lens (c) Concavo-convex Lens15| Page
CONCAVE LENS
> THINNER AT CENTRE AND THICKER AT ITS END.
> DIVERGING LENS
~ ITDIVERGES A PARALLEL BEAM OF LIGHT RAYS PASSING THROUGH IT
(a) Double Concave (b) Plano-concave _—_{(c) Convexo-concave
Lens Lens Lens
# TERMS RELATED TO LENSES:
1 OPTICAL CENTRE
i, CENTRE OF CURVATURE,
ml, RADII OF CURVATURE
IV. PRINCIPAL AXIS
Vv. PRINCIPAL FOCUS
vi. FOCAL LENGTH
vi APERTATURE
IMAGE,;FORMATION
# CONVEXLENSES:
1) When object is placed beyond 2F.
The image is :
+ formed between F, and 2F,
+ real and Inverted
+ diminished
2) When the object is placed at 2F,
The image is :
+ formed at 2F,
+ real and Inverted
+ same size as the object
3) When the object is placed between F, and 2F,
The image is :
+ formed beyond 2F,
+ real and Inverted
+ magnified16| Page
4) When the object is placed at F,
The image is :
+ formed at infinity
+ real and inverted
+ magnified
5) When the object is placed between F, and O:
The image is :
+ formed on the same side of the lens
+ virtual and erect
+ magnified
6) When the object is placed at Infinity
The image is :
+ formed at F,
+ real and inverted me a
+ highly diminished
# CONCAVE LENSES
1) When object is placed at infinity
Image is :
+ formed at F,
+ virtual and erect
+ highly diminished
Therefore for all positions, image is :
+ on the same side of object
+ virtual and erect
+ diminished
LENS FORMULA
LINEAR MAGNIFICATION
> THE RATION OF HEIGHT OF IMAGE TO HEIGHT OF OBJECT
image Height _v
object Height u17 [Page
+> M=+(VIRTUAL)
+> M=4REAL)
BEHAVIOUR OF LENS IN A LIQUID
> IF LENS IS IMMERSED IN A LIQUID WHOSE REFRACTIVE INDEX WITH RESPECT
TO AIR IS MORE THAN THE REFRACTIVE INDEX OF MATERIAL OF THE LENS WITH
RESPECT TO AIR, THEN FOCAL LENGTH BECOME NEGATIVE.
THAT MEANS THA NATURE OF LENS WILL BE CHANGE,
IN SUCH A MEDIUM, CONVEX LENS WILL BE BEHAVE LIKE CONCAVE AND.VICE,
VERSA.
> IF LENS IS IMMERSED IN A LIQUID WHOSE REFRACTIVE INDEX WITH. RESPECT
TO AIR IS EQUAL TO THE REFRACTIVE INDEX OF MATERIAL OR|LENS WITH
RESPECT TO AIR, THEN FOCAL LENGTH OF THELENS WILL BEGOME INFINITE,
IT WILL BEHAVE LIKE PLANE GLASS SHEET, ALSQIN SUCH MEDIUM LENS WILL
BECOME INVISIBLE
ATMOSPHERIC REFRACTION
> THE EARTH'S ATMOSPHERE IS NOT UNIFORM THROUGHOUT, ITS DENSITY
GOES ON CHANGING AS WE MOVE UPTO DOWN.
+ _ ITCAN BE CONSIDERED TO BE CONSISTED OF WAYERS OF DIFFERENT
DENSITIES, WHICH ACTS AS RARER OR DENSAR MEDIUM WITH RESPECT TO
ONE ANOTHER
> THE REFRACTION OF LIGHT DUE TO THESE LAYERS IS ATMOSPHERIC
REFRACTION
PHENOMENON BASED ON\ATMOSPHERIC REFRACTION
1, TWINKEING OF STARS
2. THE STARS.SEEM HIGHER THAN ACTUALLY APPEAR
3. ADVANCE SUNRISE AND DELAYED SUNSHET
4) SUN'APPEARS FLATTERED AT THE SUN RISE AND SUNSHET
1, TWINLING OF STARS
> DUE TO ATMOSPHERIC REFRACTION OF STARS
> AS THE LIGHT FROM THE STARS ENTERS THE EARTH'S ATMOSPHERE, IT
UNDERGOES REFRACTION DUE TO VARYING OPTICAL DENSITY OF AIR AT
VARIOUS ALTITUDES
~ THE CONTINUOSLY CHANGING ATMOSPHERE REFRACTS THE LIGHT BY
DIFFERERNT AMOUNTS. IN THIS WAY, THE STAR LIGHT REACHING OUR18 | Page
EYES INCREASE AND DECREASE CONTINUOSLY AND THE STARTS
APPEARS TO TWINKLE AT NIGHT
2. THE STARS SEEM HIGHER THAN THEY ACTUALLY APPEAR,
> AS THE LIGHT FROM A STAR ENTERS THE EARTH'S ATMOSPHERE, IT
UNDERGOES ATMOSPHERIC REFRACTION)AND BENDS TOWARDS THE
NORMAL POSITION EACH TIME"
+ THE UPPER LAYERS OF ATMOSPHERE ARE RARER THAN THE LOWER
LAYERS. THE APPARENT ROSITION OF STAR IS ALIGHTLY DIFFERENT
FROM ITS’ACTUAL POSITION.
> THESTARS\APPEARS SUGHTLY HIGHER THAN ITS ACTUAL POSITION,
WHEN VIEWED NEAR HORIZON
; wre ek
Light ray path
3. ADVANCE SUNSHET AND DELAYED SUNSET
+ THE SUNS VISIBLE TO US ABOUT TWO MINUTES BEFORE THE ACTUAL
SUNRISE, AND ABOUT TWO MINUTES AFTER THE ACTUAL SUNSHET. THIS
IS BECAUSE OF ATMOSPHERIC REFRACTION19| Page
> WHEN THE SUN IS SLIGHTLY BELOW THE HORIZON, THE SUNLIGHT
‘COMING FROM LESS DENSE TO MORE DENSEAIR, IS REFRACTED.
DOWNWARDS
> BECAUSE OF THIS THE SUN APPEARS TO BE RAISED ABOVE THE
HORIZON
ead
Ded
prety
Ceara
Cerra
Sion
SCATTERING OF LIGHT.
>» THE REFLECTION OF LIGHT FROM AN COMPARABLY SMALLER SIZED PARTICLE
IN ALL DIRECTIONS,
~ THE COLOUR OF SCATTERED LIGHT DEPENDS ON THE SIZE OF SCATTERING
PARTICLES
+ VERY FINE PARTICLES SCATTER MAINLY BLUE LIGHT WHILE PARTICLES OF
LARGER SIZE SCATTER LIGHT OF LONGER WAVELENGTH(RED LIGHT)
+ IF THE SIZB OF THE SCATTERING PARTICLES IS LARGE ENOUGH THEN THE
SCATTERED LIGHT MAX EVEN APPEAR WHITE,
+ THE BLUE'LIGHT PRESENT IN SUNLIGHT IS SCATTERED 10 TIMS MORE THAN
THE RED.LIGHT.
WHY IS THE COLOUR OF THE SKY BLUE?
4) SKY APPEARS BLUE THIS IS BECAUSE THE SIZE OF THE PARTICLES IN THE
ATMOSPHERE IS SMALLER THAN THE WAVELENGTH OF VISIBLE LIGHT, SO
THEY ARE’MORE EFFECTIVE IN SCATTERING THE LIGHT OF SHORTER
WAVELENGTH(BLUE)
> WHEN THE SUNLIGHT PASSES THROUGH THE ATMOSPHERE THE FINE.
PARTICLES SCATTER THE BLUE COLOUR MORE STRONGLY THAN RED
> THE SCATTERED BLUE LIGHT REACHES OUR EYE
NOTE
+ THE SKY APPEARS BLACK TO THE PASSANGER FLYING AT HIGHER ALTITUDESS
BECAUSE SCATTERING OF LIGHT IS NOT PROMINENT AT SUCH HEIGHT DUE TO.
THE ABSENCE OF PARTICLES20| Page
COLOUR OF THE SUN AT SUNRISE AND SUNSHET
> SUNAND THE SKY APPEARS RED
> LIGHT FROM THE SUN NEAR THE HORIZON PASSES THROUGH THICKER LAYERS.
OF AIR AND COVERS LARGER DISTANCE IN THE ATMOSPHERE BEFORE
REACHING OUR EYES,
> NEAR THE HORIZON MOST OF THE BLUE LIGHT AND SHORT WAVELENGTHS,
ARE SCATTERED AWAY BY THE PARTICLES
> THEREFORE THE LIGHT THAT REACHES OUR EYES IS OF LONGER
WAVELENGTHS,
NOTE
> HOWEVER AT THE NOON, THE LIGHT FROM THE SUN OVERHEADWOULD:
TRAVEL RELATIVELY SHORTER DISTANCE,
+ SOIT APPEARS WHITE AS ONLY A LITTLE OF THE, BLUE AND VOILET COLOURS
ARE SCATTERED
Blue scattered away
Sun appears reddish
nenone AE
Less blue
scattered
WHY RED COLOUR ISUSED IN SIGNAL?
+ _[FISNOT SCATTERED AS COMPARED TO OTHER COLOURS,
| REACHES TO OUR EYES FROM LONG DISTANCE
HUMAN EYE AND ITS DEFECT
HUMAN EYE,
~ THE SENSE ORGAN THAT HELPS US TO SEE
+ LOCATED IN EYE SOCKETS IN SKULL
> DIAMETER OF EYE BALL-2.3CM.
PARTS OF HUMAN EYE
# CORNEA- OUTERMOST, TRANSPARENT PART. IT PROVIDES MOST OF THE
REFRACTION OF LIGHT=
an
=
21|Page
# LENS- COMPOSED OF A FIBROUS JELLY LIKE MATERIAL. PROVIDES THE
FOCUSED REAL AND INVERTED IMAGE OF AN OBJECT ON THE RETINE,
NATURE OF LENS-CONVEX LENS,
# IRIS-A DARK MUSCULAR DIAPHRAGM THAT CONTROLS THE SIZE OF PUPIL
# — PUPIL- WINDOW OF THE EYE, CENTRAL APERTURE IN IRIS
FUNCTION OF IRIS- REGULATES AND CONTROLS THE AMOUNT OF LIGHT.
ENTERING THE EYE
# RETINA-A DELICATE MEMBRANE HAVING ENORMOUS NUMBER OF ‘LIGHT
SENSITIVE CELLS
IMAGE FORMATION-RETINA
# FAR POINT- THE MAXIMUM DISTANCE AT WHICH OBJECTGAN BE SEEN CLEARLY
IS FAR POINT OF THE EYE
FOR A NORMAL EYE FAR POINT= INFINITE,
# NEAR POINT OR LEAST DISTANCE OF DISTINCT VISION-THE MINIMUM DISTANCE,
AT WHICH OBJECTS CAN BE SEENMOST DISTINETIVELY WITHOUT STRAIN
> FORA NORMAL ADULT EYE-25CM)
# RANGE OF EYE —25 CMINFINITE,
POWER OF ACCOMODATION
> THE BILITY OF AN EYE.LENS TO ABJUST ITS FOCAL LENGTH IS CALLED
ACCOMODATION
/FOCALLENGTH CAN BE CHANGED WITH THE HELP OF CILIARY MUSCLES
# \ FOCAL LENGTH INCREASE: CILIARY MUSCLES GET RELAXED AND LENS GET
THIN
# FOCAL-LENGTH DECREASE- CILIARY MUSCLES GET CONTACT AND LENS GET
THICK
DEFECT OF VISION
MYOPIA
HYPERMETROPIA
PRESBIOPIA
CATARACT
ASTIGMATISM
SPep >2|Page
MYOPIA.
> NEAR/SHORT SIGHTEDNESS,
> CAN SEE NEARBY OBJECT CLEAR
> BUT CANNOT SEE DISTANT OBJECT
# CAUSE
1. EXCESIVE CURVATURE OF THE EYE LENS.
ll. ELONGATION OF THE EYE BALL
# CORRECTION
1. LENSE-THIICK-THIN
I. CONCAVE LENS
i. DIVERGING LENS
Iv. LESS THE CONVERGING POWER
V. BRING THE IMAGE BACK ON RETINA.
Rays trom
cient Sojact
Far point of
myopic ove
HYPERMETROPIA,
+ PAR/UONG SIGHTEDNESS
+ CAN SEE DISTANT OBJECTS
+ CANNOT SEE NEARBY OBJECTS
+ APERSON HAS TO KEEP A READING MATERIAL MUCH BEYOND 25 CM FROM
THE EYE
# CAUSE
1. FOCAL LENGTH OF EYE LENS IS TOO LONG23| Page
I, LOW CONVERGING POWER
il, EYEBALL HAS BECOME TOO SMALL
# CORRECTION
1. CONVEX LENS
ll. INCREASE CONVERGING POWER
i, BRING THE IMAGE ON RETINA
PRESBYOPIA
hw THE EYE-LENS:
MODATION
1A AND HYPERMETROPIA,
HAPPENS IN OLD AGE
CILIARY MUSCLES WEAK, CAN Ni
SPECIAL KIND OF HYPERME!
ett did24a| Page
CATARACT
> LOSS OF VISION OF EYE
> DECREASE IN VISION
# SYMPTOMS
u. FADED COLOURS
i. BLURRY VISION
Iv, DOUBLE VISION
v. AGEIS COMMON FACTOR
# CORRECTION
1, SURGERY
ASTIGMATISM,
+ EYE DOES NOT FOCUS LIGHT ON RETINA,
+ DISTORTED VISION
> BLURRED VISION
> EYE STRAIRS, HEADACHE
+ IRREGULAR CURVATURE OF CORNEA 1.E., ERROR IN THE SHAPE OF THE,
‘CORNEA
# CORRECTION
> EYE GUASSES-CONTAIN CYLINDRICALL GLASSES
IT PROVIDES ADDITIONAL POWER IN SPECIFIC PARTS OF THE LENS
CONTAGT LENS
SURGERY
++
TOTAL INTERNAL REFLECTION
> WHEN ALIGHT RAY, TRAVELLING FROM A DENSER MEDIUM TOWARDS A RARER
MEDIUM IS INCIDENT AT THE INTERFACE AT AN ANGLE OF INCIDENCE GREATER
THAN CRITICAL ANGLE, THEN LIGHT RAYS ARE REFLECTED BACK INTO THE,
DENSER MEDIUM .THIS PHENOMENON IS CALLED TOTAL INTERNAL.
REFLECTION25|Page
NECESSARY CONDITION FOR TIR
1. THE RAY INCIDENT ON THE INTERFACE OF TWO MEDIA SHOULD TRAVEL,
FROM DENSAR MEDIUM TO RARER MEDIUM
2. THE ANGLE OF INCIDENCE SHOULD BE GREATER THAN CRITICAL ANGLE FOR
THE TWO MEDIA
CRITICAL ANGLE
+ THE ANGLE OF INCIDENCE IN A DENSAR MEDIUM FOR WHICH THE ANGLE OF
REFRACTION IN RARER MEDIUM BECOMES 90 DEGREE IS CALLED CRITICAL
ANGLE(C)
> THE VALUE OF CRITICAL ANGLES DEPENDS ON THE NATURE OF TWO MEDIA
AND COLOUR OF LIGHT
‘When the angle of incidence equal “When the angle of incidence is
‘the critical angle, the angle greater than the critical angle, all
refraction is 90-degrees. the light undergpes reflection.
APPLICATIONS OF TIR,
1 fOPTICAL FIBRE
2\MIRAGE
3, DIAMOND
OPTICAL FIBRE
+ \ WORKING-BASED ON TIR
+ INNER PART-CORE OF HIGHER REFRACTIVE INDEX SURROUNDED BY ANOTHER
LAYER OF GLASS OF LOWER REFRACTIVE INDEX
~ WHEN LIGHT ENTERS FROM THE ONE END OF THE CORE AND MOVES
TOWARDS CLADDING, THAN TIR TAKES PLACE AGAIN AND AGAIN, AND LIGHT.
PROPOGATES THROUGH IT
USES OF OPTICAL FIBRE
+ USED TO SEND AN ELECTRICAL SIGNAL BY TRANSFORMING IT INTO A LIGHT
SIGNAL AND VICE-VERSA26| Page
a
USED TO SEND LASER LIGHT RAYS INSIDE THE HUMAN BODY
USED IN TELECOMMUNICATION
USED IN DECORATIVE TABLE LAMPS,
USED IN NETWORKING
MIRAGE,
AN OPTICAL ILLUSION OF WATER APPEARS IN DESERT IN A HOT SUMMER DAY
IN HOT SUMMER DAY IN DESERT THE LAYERS OF AIR NEAR THE EARTH.
SURFACE REMAINS HOT AND THEIR TEMP DECREASES WITH ALTITUDE AND
BECOME DENSER
WHEN A RAY LIGHT COMING FROM THE TOP OF A TREE OR SKY, MOVES,
TOWARDS THE EARTH AND DEVIATES AWAY FROM THENORMAL
WHEN AN ANGLE OF INCIDENCE BECOMES GREATER THAN CRITICAL ANGLE
TIR TAKES PLACE
AFTER THAT LIGHT RAYS BEND UPWARD
WHEN THE LIGHT RAYS ENTER THE\EYES OFAN OBSERVER, INVERTED IMAGE
OF TREE IS OBTAINED WHICH PRODUCES ILLUSION OF WATER
Formation of an inferior image
DIAMOND
BRILLIANCE OF DIAMOND IS MAINLY DUE TO TIR OF LIGHT INSIDE THEM
THE CRITICAL ANGLE FOR DIAMOND AIR INTERFACE IS VERY SMALL,
THEREFORE ONCE LIGHT ENTERS THE DIAMOND, IT IS VERY LIKELY TO
UNDERGO TOTAL INTERNAL REFLECTION27| Page
a
BRILLLIANCE OF DIAMOND DEPENDS ON ITS CUTTING .BY CUTTING THE
DIAMOND SUITABLY; MULTIPLY TOTAL INTERNAL REFLECTIONS CAN BE MADE
TO OCCUR.
COLOUR OF OBJECT
=
WHEN LIGHT IS INCIDENT ON AN OBJECT, IT REFLECTS ONLY A PART OF IT. THE
REFLECTED LIGHT GIVES THE OBJECTS WITH THEIR COLOURS.
EXAMPLE- A ROSE APPEARS RED WHEN WHITE LIGHT IS INCIDENT ON IT.
WHEN SAME ROSE IS VIEWED IN GREEN LIGHT, IT APPEARS BLACK BECAUSE IT
ABSORBS GREEN LIGHT AND REFLECTS NO COLOUR OF LIGHT
COLOURS
PRIMARY —RED, GREEN, BLUE,
'SECONDARY-
> YELLOW= RED+GREEN,
+ MAGENTA= RED+BLUE
> CYAN= GREEN +BLUE
‘COMPLEMENTARY COLOURS-
> RED+CYAN= WHITE,
> GREEN+MAGENTA=WHITE,
> BLUE+YELLOW= WHITE,
PRISM
A PORTION OF TRANSPARENT MEDIUM BOUNDED BY TWO PLANE FACES
INCLINED TOXEAGH OTHER AT SUITABLE ANGLE
WHEN ALIGHT IS INCIDENT ON PRISM THEN IT BENDS TOWARDS ITS BASE LE.,
IT REFRACTS THE LIGHT28| Page
DISPERSION OF WHITE LIGHT BY A GLASS PRISM
> THE PHENOMENON OF SPLITTING OF WHITE LIGHT INTO ITS COMPONENT
COLOURS WHEN IT PASSES THROUGH A PRISM.
> VIBGYOR- SPECTRUM
~ ISAAAC NEWTON WA THE FIRST ONE TO USE GLASS PRISM TO OBTAIN THE
SPECTRUM OF LIGHT
CAUSE OF DISPERSION
> LIGHT RAYS OF DIFFERENT COLOURS, TRAVEL WITH THE SAME SPEED IN
VACUUM AND AIR BUT IN OTHER MEDIUM THEY TRAVEL WITH DIFFERENT SPEED
AND BEND THROUGH DIFFERENT ANGLES, WHICH LEADS TO THE FORMATION
OF SPECTRUM
> RED LIGHT(MAXIMUM WAVELENGTH) AND VOILET(MINIMUM)
~ RED LIGHT TRAVELS FASTEST AND DEVIATES LEAS TWHILE VOILET LIGHT
TRAVELS SLOWEST AND DEVIATES MAXIMUM
RAINBOW
+ ANATURAL SPECTRUM APPEARING IN SKYAFTER RAIN
> CAUSED BY DISPERSION OF SUNLIGHT BY TINY WATER DROPLETS, PRESENT IN
ATMOSPHERE
+ DIRECTIONOPPOSITE TO. SUN
+ WATER DROPLETS AGT MIKE PRISM
> /RED COLOURUPPER SIDE
>| VOILETLOWER SIDE29| Page
OPTICAL INSTRUMENT
CAMERA
> ALIGHT PROOF BOX CONSIST OF TWO ENDS.
> ONE END-CONVERGING LENS
> OTHER ENDLIGHT SENSITIVE FILM
+ IMAGE-REAL AND INVERTED
> EXPOSURE TIME-TIME FOR WHICH LIGHT IS INCIDENT ON PHOTOGRAPHIC FILM
MICROSCOPE
> OPTICAL INSTRUMENT
+ FORMS A MAGNIFIED IMAGE OF SMALL NEARBY OBJEGT
> INCRAESE THE VISUAL ANGLE SUBTENDED BYIMAGE AT THE EYE SO THAT THE
OBJECT IS SEEN TO BE BIGGER AND DISTINGT
TYPES OF MICROSCOPE,
1, SIMPLE MICROSCOPE
2. COMPOUND MICROSCOPE
SIMPLE MICROSCOPE
> USED FOR OBSERVING MAGNIFIED IMAGE OF OBJECTS
+ CONSISTOF A CONVERGING LENS OF SMALL FOCAL LENGTH
+ MAGNIFYING GLASS
MAGNIFYING POWER
+ \ FINALIMAGE IF FORMEDATD, = m=142
+ WHEN'FINALIMAGE AT INFINITE, — m30| Page
COMPOUND MICROSCOPE
> COMBINATION OF TWO LENS
OBJECTIVE LENS- NEAR TO OBJECT.
ll. EYEPIECE: FINAL IMAGE.
MAGNIFYING POWER
+ FINALIMAGE ATD,
mae (14
Uo= DISTANCE OF OBJECT FORMED OBJECTIVE LENS
Vo= DISTANCE OF IMAGE FROM THE OBJECTIVE LENS,
> FINALIMAGE AT INFINITE,
TELESCOPES
~ TOLOQK AT DISTANT OBJECTS SUCH AS A STAR, A PLANET OR A DISTANT
HILLS,
ASTRONOMICAL TELESCOPE,
+ COMBINATION OF TWO LENS
| OBJECTIVE LENS
ll EYEPIECE LENS31] Page
+ USED FOR OBSERVING DISTINCT IMAGES OF HEAVENLY IMAGES BODY L.E.,
STAR
MAGNIFYING POWER
> FINALIMAGEIS FORMED ATD,
> LENGTH OF TELESCOPE(L) = Fot Fe
> WHEN FINAL IMAGE IS FORMED AT INFINITE
+ FOR LARGE MAGNIFYING POWER OF A TELESCOPE
FoF
objective lens
eye piece lens
distant object
final image at infinity
RESOLVING POWER
> ABILITY OF THE"INSTRUMENT TO PRODUCE DISTINCTLY SPERATE IMAGES OF
TWO-CLOSE OBJECTS
> / THE MINIMUM DISTANCE B/W TWO OBJECTS WHICH CAN JUST BE SEEN AS
SEPERATED BY THE OPTICAL INSTRUMENT IS LIMIT OF RESOLUTION OF THE
INSTRUMENT
> SMALLER THE LIMIT OF RESOLUTION, GREATER IS ITS RESOLVING POWER &
VICE VERSA
RESOLVING POWER OF A MICROSCOPE,
> ITISDEFINE AS-
THE RECIPROCAL OF THE DISTANCE B/W TWO OBJECTS WHICH
CAN BE JUST RESOLVED WHEN SEEN THROUGH THE MICROSCOPE
# RESOLVING POWER DEPENDS ON -
| WAVELENGTH32| Page
Il. REFRACTIVE INDEX OF THE MEDIUM B/W OBJECT AND THE
OBJECTIVE
Ill HALG ANGLE OF THE CONE OF LIGHT FROM ONE OF THE OBJECTS
RESOLVING POWER OF A TELESCOPE
+ ITISDEFINED-
THE RECIPROCAL OF THE SMALLEST ANGULAR SEPARATION B/W TWO
DUSTANT OBJECT WHOSE IMAGE ARE SEEN SEPARATELY
+ RESOLVING POWER= 354
+ ITDEPENDS ON-
1. WAVELENGTH
I. DIAMETER OF THE OBJECT
PERISCOPE,
~ ANINSTRUMENT FOR OBSERVATION OVER'AROUND OR THROUGH AN OBJECT,
OBSTACLE OR CONDITION THAT PREVENTS DIRECT LINE OF SIGHT
OBSERVATION FROM AN OBSERVER'S CURRENT-POSITION
> ANGLE-45°
USES OF PERISCOPE
+ USED IN SUBMARINE
+ ARMED VEHICLES
INTERFERENCE OF LIGHT
INTEREFERENCE
> WHEN TWO LIGHT WAVES OF SIMILAR FREQUENCY HAVING A ZERO OR
CONSTANT PHASE DIFFERENCE PROPOGATE IN A MEDIUM SIMULTANEOUSLY
IN THE SAME DIRECTION, THEN DUE TO THEIR SUPERPOSITION MAXIMUM33| Page
INTENSITY IS OBTAINED AT FEW POINT AND MINIMUM INTENSITY AT OTHER FEW
POINTS,
+ REDISTRIBUTION OF ENERGY DUE TO SUPERPOSITION OF WAVES
TYPES OF WAVES
1, CONSTRUCTIVE
2. DESTRUCTIVE
QUESTION
1. WHEN THE KEROSINE OIL SPREAD ON WATER SURFACE SEEMS TO HAVE (A,
DECENT COLOUR?
2. SOPA COLOUR HAS ALSO A BRILLIANT GQLOUR'IN THE SUNLIGHT?
DIFFRACTION OF ‘LIGHT
DIFFRACTION
> BENDING OF LIGHT AROUND GORNORS AND SPREADING WITHIN THE
GEOMATRICAL SHADOW OF OPAQUE OBSTACLES
>» LIGHT DAVIATES FROMITS LINEAR PATH
APPLICATIONS
~ | USED\IN DIFFRACTION GRATINGS
~ \ GRATING IS'USED SEPARATE COLOURS
DIFFERENCE B/W INTERFERENCE AND DIFFRACTION
+ INTERFERENCE: SUPERPOSITION B/W THE WAVE COMING FROM TWO.
COHERENT SOURCES 1.E., HAVING CONSTANT FREQUENCY & PHASE
DIFFERENCE,
> DIFFRACTION- SUPERPOSITION OF WAVES COMING FROM SINGLE OR ONE
SOURCE,34| Page
DOPPLER'S EFFECT
> WHENEVER THERE IS A RELATIVE MOTION B/W A SOURCE AND A OBSERVER
AND LIGHT, THE APPARENT FREQUENCY OF LIGHT RECEIVED BY OBSERVER IS
DIFFERENT FROM THE TRUE FREQUENCY OF LIGHT EMITTED ACTUALLY FROM
THE SOURCES
~ DELTAV CHANGE IN FREQUENCY
1, VE BLUE SHIFT
2. VE RED SHIFT
USES
1, MEASURING THE SPEED OF STAR AND GALAXIES,
2. MEASURING THE SPEED OF SUN L.E., 2 KM/S
3. ESTIMATION OF VELOCITY OF AEROPLANES, ROCKETS, SUBMARINE ETC.
POLARISATION
THE PHENOMENON OF RESTRLTING OF ELECTRIC. VEGTORS OF LIGHT INTO A
SINGLE DIRECTION
USES
1. FOR NAVIGATION'IN SOLAR COMPASS IN POLAR REGIONS
2\ HOLOGRAPHY |.E., 3D MOTION PICTURE
3. USED IN OPTICAL STRESS ANALYSIS
4, LCD THROUGH POLARISATION OF LIGHT I.E., CALCULATOR, WATCHDIGITS35| Page
REST- IF AN OBJECT DOES NOT CHANGE ITS POSITION WITH RESPECT TO ITS
SURROUNDING WITH TIME, THE OBJECT IS SAID TO BE AT REST.
MOTION- IF AN OBJECT CHANGES ITS POSITION WITH RESPECT TO ITS
SURROUNDINGS WITH TIME, THEN THE OBJECT IS SAID TO BE IN MOTION.
NOTE:- REST & MOTION ARE RELATIVE TERMS, |.E., AN OBJECT CAN BE IN REST AND
ALSO IN MOTION AT THE SAME TIME WITH RESPECT TO DIFFERENT OBJECTSIN ITS
SURROUNDING.
TYPES OF MOTION
ACCORDING TO THE NATURE OF THE MOVEMENT, MOTION IS CLASSIFIED INTO
THREE TYPES AS FOLLOWS:
A. LINEAR/RECTILINEAR/TRANSITORY MOTION
ws IN LINEAR MOTION, THE OBJECT MOVES FROM ONE POINT TO ANOTHER
IN EITHER A STRAIGHT LINE OR A CURVED PATH
3 THE LINEAR MOTION DEPENDING ON THE PATH OF MOTION IS FURTHER
DIVIDED AS FOLLOWS
|. RECTILINEAR MOTION — THE PATH OF THE MOTION IS A STRAIGHT
LINE.
ul. CURVILINEAR MOTION — THE PATH OF THE MOTION IS CURVED.
EXAMPLES OF LINEAR MOTION ARE THE MOTION OF THE TRAIN,
FOOTBALL, THE MOTION OF A CAR ON THE ROAD, ETC.
B, ROTATORY/CIRCULAR MOTION
~% ROTATORY MOTION IS THE MOTION THAT OCCURS WHEN A BODY
ROTATES ON ITS OWN AXIS.
= EXAMPLES OF THE ROTATORY MOTION ARE AS FOLLOWS:
© THE MOTION OF THE EARTH ABOUT ITS OWN AXIS AROUND THE,
SUN IS AN EXAMPLE OF ROTARY MOTION
WHILE DRIVING A CAR, THE MOTION OF WHEELS AND THE
STEERING WHEEL ABOUT ITS OWN AXIS IS AN EXAMPLE OF
ROTATORY MOTION
cc. OSCILLATORY/ VIBRATORY MOTION
% OSCILLATORY MOTION IS THE MOTION OF A BODY ABOUT ITS MEAN
POSITION (BACK & FORTH),
= EXAMPLES OF OSCILLATORY MOTION ARE36| Page
WHEN A CHILD ON A SWING IS PUSHED, THE SWING MOVES TO AND.
FRO ABOUT ITS MEAN POSITION.
«| THE PENDULUM OF A CLOCK EXHIBITS OSCILLATORY MOTION AS
IT MOVES TO AND FRO ABOUT ITS MEAN POSITION.
* THE STRING OF THE GUITAR WHEN STRUMMED MOVES TO AND FRO
BY ITS MEAN POSITION RESULTING IN AN OSCILLATORY MOTION.
DISTANCE: THE LENGTH OF THE ACTUAL PATH TRAVELLED BY AN OBJECT DURING
MOTION IN A GIVEN INTERVAL OF TIME IS CALLED THE DISTANCE COVERED BY THE
OBJECT.
=
=
=
~
IT DOES NOT DEPEND ON THE DIRECTION, LE., IT A SCALAR QUANTITY»
SL UNIT: METER (M)
DEVICE WHICH MEASURES DISTANCE- ODOMETER.
IT CAN ONLY BE POSITIVE.
SPEED:
SPEED-THE DISTANCE TRAVELLED BY THE OBJECTPER UNIT TIME IS CALLED THE
SPEED OF THE OBJECT.
oe vw
M.
m.
Distance
Speed
ITIS A VECTOR QUANTITY, LE., IT DEPENDS ON DIRECTION.
Su. UNIT: ena = (5)
VELOCITY = SPEED + DIRECTION OF\MOTION
DIMENSIONAL FORMULA: M°L!T-F
FOR A MOVING BODY VELOCITY GAN BE ZERO, NEGATIVE OR POSITIVE.
Velocity < Speed , LE, MAGNITUDE OF VELOCITY IS EITHER EQUAL OR LESS THAN SPEED.
‘TYPES OF VELOCITY
UNIFORM VELOCITY
IF AN @BJECT UNDERGOES EQUAL DISPLACEMENT IN EQUAL INTERVAL OF
TIMES, THEN IT\IS SAID TO BE MOVING WITH UNIFORM VELOCITY.
NON-UNIFORM VELOCITY
IFMAN OBJECT,UNDERGOES UNEQUAL DISPLACEMENT IN EQUAL INTERVALS OF
TIME, THEN TT IS SAID TO BE MOVING WITH NON-UNIFORM OR VARIABLE
VELOCTITY.
AVERAGE VELOCITY
THE RATIO OF THE TOTAL DISPLACEMENT TO THE TOTAL TIME TAKEN BY AN
OBJECT IS CALLED THE AVERAGE VELOCITY OF THE OBJECT.
Total Displacement
Average velocity = Terai Time Taken
INSTANTANEOUS VELOCITY38| Page
THE VELOCITY OF ANY OBJECT AT ANY GIVEN INSTANT OF TIME IS CALLED
INSTANTANEOUS VELOCITY.
ar_dr
Instantaneous Velocity = lim ==
ACCELERATION
ACCELERATION: THE RATE OF CHANGE OF VELOCITY OF AN OBJECT IS CALLED
ACCELERATION OF THE OBJECT.
Change in Velocity
Acceleration(a) = -
a) Time Taken
IISA VECTOR QUANTITY, LE, IT DEPENDS ON THE DIRECTION.
S| UNIT- Meter per second square [4].
DIMENSIONAL FORMULA- M°LAT,
ACCELERATION CAN BE ZERO, NEGATIVE & POSITIVE,
IF VELOCITY OF ANY OBJECTS DECREASES ACCORDING TO TIME IT IS CALLED
NEGATIVE ACCELERATION OR RETARDATION.
ws IF VELOCITY OF ANY OBJECTS INCREASES AGCORDING TO TIME IT IS CALLED
POSITIVE ACCELERATION.
ts IF THERE IS NO CHANGE IN VELOCITY WITH TIME, THEN THERE IS NO
ACCELERATION, L.E., ZERO ACCELERATION,
vs IF VELOCITY IS ZERO IT DOES NOT MEANS THAT THE ACCELERATION IS ALSO
ZERO.
Gee HH
TYPES OF ACCELERATION
1. UNIFORM ACCELERATION
IF-VELQCITY OF, AN\OBJECT CHANGES EQUALLY IN EQUAL INTERVALS OF TIME
THEN IT IS SAIDTO/MOVING WITH UNIFORM ACCELERATION.
Il, NONUNIFORM ACCELERATION
IF VELOGITY OF AN OBJECT CHANGES UNEQUALLY IN EQUAL INTERVALS OF
TIMETHEN THE OBJECT IS SAID TO MOVING WITH NONUNIFORM
ACCELERATION.
i, AVERAGE ACCELERATION
IF A BODY TRAVELS WITH UNIFORM ACCELERATION Ay & Ag IN TIME Ti & Ta
RESPECTIVELY, THEN
Average Acceleration = Total Change in Velocity Sree eee
Iv. INSTANTANEOUS ACCELERATION
ACCELERATION AT ANY INSTANT OF TIME IS CALLED INSTANTANEOUS:
ACCELERATION.39| Page
: av _ dv
Instantaneous Acceleration = lim —
abate dt
ONE-DIMENSIONAL MOTION
IT IS THE MOTION IN WHICH THE POSITION OF THE OBJECT CHANGES ONLY IN ONE
DIRECTION. IN THIS CASE THE OBJECT MOVES ALONG A LINE. KNOWN AS:
RECTILINEAR OR LINEAR MOTION.
EXAMPLE-
* MOTION OF TRAIN ALONG A STRAIGHT LINE,
| MOTION OF FREELY FALLING OBJECTS.
EQUATION OF ONE-DIMENSIONAL MOTION
IF A BODY IS MOVING ALONG STRAIGHT LINE WITH A VELOCITY (U)AND AFTER SOME
TIME T ITS VELOCITY CHANGES TO (V), IF UNIFORM ACCELERATION IS (A) AND THE
DISTANCE TRAVELLED BY THE OBJECT IN TIME.) (S)\THEN FOLLOWING RELATION
IS OBTAINED, WHICH ARE CALLED EQUATIONS OF MOTION.
v=utat
1
Fut + pat?
vu? +2as
+ IF AN OBJECT STARTS FROM REST, THEN U=0.
IF AN OBJECT COMES AT REST. THEN V=0.
> IF AN OBJECT MOVES WITH UNIFORM VELOCITY, THEN ITS ACCELERATION, A=O.
+
GRAPHS RELATED TO-ONE-DIMENSIONAL MOTION
DISPLACEMENT-TIME GRAPH
VELOCITY INCREASING | [VELOCITY INCREASING,
CONSTANT veLociTy] | AT A CONSTANT ACCELERATION. INCREASING
RATE AT A CONSTANT RATE
£ g §
a a a
= . 3
3 3 3
* TIME t/s of TIME t/s os TIME t/s
DISPLACEMENT —TIME DISPLACEMENT TIME DISPLACEMENT TINE
GrarH FOR CONSTANT | | GRAPH FOR INCREASING | | GRAPH. FOR INCREASING
VELOCITY veLocity ACCELERATION40| Page
VELOCITY-TIME GRAPH
un 1 ce
Ss = > >
= 3 =
5 o o
a 2 o
S - > =
u=0
° TIME ‘7s 7 TIME t/s ol TIME 7s
VELOCITY—TIME VELOCITY—TIME VELOCITY=TIME
GRAPH FOR CONSTANT| | GRAPH FOR INCREASING | | GRAPH FOR INCREASING
VELOCITY VELOCITY ACCELERATION
ACCELERATION-TIME GRAPH
é z A é
= £ i.
3 3 3
z z z
é é é
g & &
é a é
& & &
4 4 4
& 5 5
9 > 9G 9 >
< of TIME t7s TIME t/s acd TIME */s
‘ACCELERATION-TIME ACCELERATION-TIME ACCELERATION-TIME
GRAPH FOR CONSTANT | (®] GRAPH FOR INCREASING GRAPH FOR INCREASING
VELOCITY VELOCITY ACCELERATION
MOTION UNDER GRAVITY (FREE FALL)
THE\OBJECT FALLING TOWARDS THE EARTH UNDER THE GRAVITATIONAL FORCE,
ALONE IS GALLED A FREELY FALLING OBJECT AND SUC MOTION IS CALLED MOTION
UNDER GRAVITY ORFREE FALL.
EQUATION OF MOTION UNDER GRAVITY
FOR UPWARD MOTION
IF THE OBJECT IS THROWN UPWARD, EQUATION OF MOTION CAN BE WRITTEN AS:
v=u-gt
1
h=ut-Sgt
ut—59)41| Page
FOR DOWNWARD MOTION
IF THE OBJECT IS FALLING FREELY (U=0) UNDER GRAVITY, THEN EQUATION OF
MOTION CAN BE WRITTEN AS:
v=utgt
heuttsgt?
= utt+5g
vi =u? +2gh
TWO-DIMENSIONAL MOTION
ITIS THE MOTION IN WHICH THE POSITION OF THE OBJECT CHANGES IN TWO
DIRECTIONS. IN THIS CASE THE OBJECT MOVES ON A PLANE. FOR EXAMPLE —
PROJECTILE MOTION & CIRCULAR MOTION.
PROJECTILE MOTION
WHEN THE OBJECT IS THROWN FROM HORIZONTAL MAKING AN ANGLE (8)
EXCEPT 90°, THEN ITS MOTION UNDER GRAVITY IS ACURVED PARABOLIC PATH,
CALLED TRAJECTORY AND ITS MOTION IS CALLED PROJECTILE MOTION.
Range (R) B*42| Page
CIRCULAR MOTION
WHEN AN OBJECT MOVES IN A CIRCULAR PATH WITH A CONSTANT SPEED THEN THE
MOTION OF THE OBJECT IS SAID TO BE IN A UNIFORM CIRCULAR MOTION.
‘TERMS RELATED TO UNIFORM CIRCULAR MOTION
A. ANGULAR DISPLACEMENT(8)
B. ANGULAR VELOCITY
cc. ANGULAR ACCELERATION
D. CENTRIPETAL ACCELERATION43| Page
ANY ACTION WHICH CAUSES PUSH OR PULL ON AN OBJECT IS CALLED FORCE.
ws S,], UNIT- NEWTON (N) 1 NEWTON= 1 KG MS"
~& CGS UNIT- DYNE 1 NEWTONS 10 DYNE
ts MKS UNIT- KILOGRAM-METER PER SECOND-SQUARE.
+s DIMENSION. [M1472]
NEWTON'S LAW OF MOTION
> PROPOUNDED BY S/R /SAAC NEWTONIN 1687.
> BOOK-PRINCIPIA
IEWTON'S FIRST LAW OF MOTION
ACCORDING TO THIS LAW, AN OBJECT CONTINUOUS IN A'STATE OF REST OR INA
STATE OF MOTION AT A CONSTANT SPEED ALONG A STRAIGHT LINE, UNLESS ANY
NET EXTERNAL FORCE IS APPLIED ON IT.
+ THIS LAWIS ALSO KNOWN AS LAW OF INERTIA.
NOTE:- A COMMON MISCONCEPTION ABOUT NEWTON'S FIRST LAW OF MOTION IS.
THAT A FORCE IS REQUIRED TO KEEP AN'OBYECTIN MOTION.
INERTIA
THE PROPERTY OF AN OBJECT TO RESIST ANY CHANGES IN ITS STATES OF MOTION
ALONG A STRAIGHT LINE.OR REST IS.CALLED INERTIA.
TYPES OF INERTIA.
i. / INERTIA OF MOTION. THE TENDENCY OF THE BODY TO CONTINUE IN ITS STATE,
OF MOTION EVEN WHEN SOME UNBALANCED FORCE IS APPLIED ON IT IS
CALLEDITHE INERTIA OF MOTION.
EVERYDAY SCIENCE
= WHEN A CARPET IS SUDDENLY JERKED THE DUSTS FLY OFF, BECAUSE DUE TO
THE SUDDEN JERK THE CARPET MOVES BUT THE DUST ON ACCOUNT OF INERTIA
OF REST IS LEFT BEHIND.
%s THE PASSENGER STANDING IN A BUS TENDS TO FALL BACKWARDS WHEN THE
BUS SUDDENLY STARTS, THIS IS BECAUSE HIS FEET ARE IN DIRECT CONTACT
WITH THE FLOOR OF THE BUS AND THE FRICTION AT THE CONTACT |S HIGH THIS
FRICTION DOES NOT ALLOW THE FEET TO SLIP ON THE FLOOR, THE FEET
THEREFORE MOVE FORWARD WITH THE FLOOR AND THE UPPER PART OF THE.44|
Page
BODY'S STILL AT REST FOR A WHILE THUS THE PASSENGER GETS A BACKWARD
JERK,
~s COIN DROPS INTO THE GLASS WHEN SUDDEN FORCE IS APPLIED ON THE
CARDBOARD. IT IS BECAUSE OF THE PROPERTY OF INERTIA OF REST, THE COIN
CONTINUES IN THE STATE OF REST.
INERTIA OF REST: THE TENDENCY OF THE BODY TO CONTINUE IN STATE OF
REST EVEN WHEN SOME EXTERNAL UNBALANCED FORCE IS APPLIED ON IT IS
CALLED INERTIA OF REST.
APPLICATIONS
° ITIS DANGEROUS TO JUMP OUT OF A MOVING VEHICLE (BUSTRAIN), THIS IS
BECAUSE INSIDE THE TRAIN/BUS, COMPLETE BODY OF THE RASSENGER IS IN
A STATE OF MOTION WITH THE TRAIN/BUS AND ON REAGHING THE GROUND
HIS FEET COME TO REST BUT UPPER PART OF THE BODY. CONTINUES TO MOVE
WITH THE SPEED OF VEHICLE AND THE PERSON FALLS FORWARD ON THE
GROUND. HOWEVER IF IN CASE OF SOME EMERGENCY IF SOME PERSON
WANTS TO JUMP SAFELY FROM A MOVING VEHIGEE HE SHOULD RUN FOR
QUITE A WHILE IN THE DIRECTION OF MOTION OF THE VEHICLE AFTER THE
JUMP SO THAT HIS ENTIRE BODY REMAINS IN MOTION FOR SOME TIME.
t= WHEN A RUNNING CAR STOPS SUDDENLY, THE PASSENGER IS JERKED
FORWARD. THE REASON IS THAT IN A RUNNING CAR, THE WHOLE BODY OF
PASSENGER IS IN THE STATE OF MOTION. AS THE CAR STOPS SUDDENLY, THE
LOWER PART OF HIS BODY BEING IN CONTACT WITH THE CAR COMES TO REST
BUT HIS UPPER PART REMAINS IN THE STATE OF MOTION DUE TO THE INERTIA
OF MOTION. THUS HE GETS JERKED FORWARD.
INERTIA OF DIRECTION- THE TENDENCY OF AN OBJECT TO RESIST THE
(CHANGE OF DIRECTION OF ITS MOTION EVEN WHEN SOME UNBALANCED
FORCE IS\APPLIED ON IT IS CALLED INERTIA OF DIRECTION.
INERTIA &MASS
INERTIA IS THE NATURAL TENDENCY OF AN OBJECT TO REMAIN AT REST OR IN
MOTION AT A CONSTANT SPEED ALONG A STRAIGHT LINE. THE MASS OF AN OBJECT
ISA QUANTITATIVE MEASURE OF INERTIA. THE GREATER THE MASS, THE GREATER IS
THE INERTIA OF BODY.45 | Page
NEWTON'S SECOND LAW OF MOTION
THE SECOND LAW OF MOTION STATES THAT THE RATE OF CHANGE OF MOMENTUM
OF A BODY IS DIRECTLY PROPORTIONAL TO THE APPLIED UNBALANCED FORCE AND
TAKES PLACE IN DIRECTION OF FORCE.
ACCORDING TO 2° LAW,
Change in momentum
«
Force me
F= KEP KPOY_ Kma
HERE, K= CONSTANT OF PROPORTIONALITY.
> ITS VALUE IS ONE IN SI AND CGS SYSTEM.
MOMENTUM
THE MOMENTUM OF A MOVING BODY IS DEFINED AS THE PRODUCT OF ITS MASS AND
VELOCITY. IF WE REPRESENT THE MASS AND VELOCITY OFA BODY BY MAND @
RESPECTIVELY, THEN MOMENTUM IS GIVEN BY
mo
°s THE DIRECTION OF MOMENTUM OF A BODY IS SAME AS THAT OF ITS VELOCITY.
> THE SI UNIT OF MOMENTUM IS KILOGRAM METER-PER SECOND (KG M/S).
LAW.OF. CONSERVATION.OF. MOMENTUM
THE LAW OF CONSERVATION OF MOMENTUM STATES THAT THE MOMENTUM OF AN
ISOLATED SYSTEM REMAINS CONSTANT UNLESS SOME NET EXTERNAL FORCE ACTS
ONIT.
+ MOMENTUM CAN\NETHER\BE\NOT CREATED NOR BE DESTROYED IT CAN ONLY
BE TRANSFERRED FROM ONE FORM TO ANOTHER.
NEWTO!
THIRD LAW OF MOTION
IT STATES THAT TO EVERY ACTION THERE /S ALWAYS AN EQUAL AND OPPOSITE
REACTION.
APPLICATIONS
% REGQILING OF A GUN: GUNS RECOIL WHEN FIRED, BECAUSE OF THE LAW OF
CONSERVATION OF MOMENTUM. THE POSITIVE MOMENTUM GAINED BY THE
BULLET IS EQUAL TO NEGATIVE RECOIL MOMENTUM OF THE GUN AND SO THE
TOTAL MOMENTUM BEFORE AND AFTER THE FIRING OF THE GUN IS ZERO.
= MOTOR CARS ARE ABLE TO MOVE ALONG A ROAD BECAUSE THE REACTION OF
THE ROAD PUSHES THE CAR ALONG IN RESPONSE TO THE ACTION OF THE
WHEELS PUSHING ON THE ROAD.
SWIMMING IN A POND — A SWIMMER PUSHES (OR APPLIES FORCE) THE WATER
WITH HIS HANDS AND FEET TO MOVE IN THE FORWARD DIRECTION IN WATER.45| Page
ITIS THE REACTION TO THIS FORCE THAT PUSHES THE SWIMMER FORWARD.
= PROPULSION OF AIRPLANE. THE PROPELLERS OF AN AIRPLANE PUSH THE AIR
BACKWARDS AND THE FORWARD REACTION OF THE AIR MAKES THE AIRPLANE
MOVE FORWARD.
= PROPULSION OF JET AND ROCKETS: A ROCKET STANDING AT THE LAUNCHING.
PAD HAS ZERO MOMENTUM. WHEN THE PROPELLANTS INSIDE THE ROCKET
BURN, A HIGH VELOCITY BLAST OF HOT GASES IS PRODUCED. THESE GASES
PASS OUT THROUGH THE TAIL NOZZLE OF THE ROCKET IN DOWNWARD
DIRECTION WITH TREMENDOUS VELOCITY. THEREFORE THE ROCKET MOVES,
UP WITH SUCH A VELOCITY SO AS TO MAKE THE MOMENTUM OF THE SYSTEM
(ROCKET + EMITTED GASES) ZERO.
FORCE: A FORCE IS THAT PHYSICAL QUANTITY WHICH TRIES TO. CHANGE OR
(CHANGES THE STATE OF REST OR OF UNIFORMMOTION OF A BODY.
TYPES OF FORCE
THERE ARE TWO TYPES OF FORCE:
1. BALANCED FORCE: IF THERE ARE MANY FORCES-ACTING ON AN OBJECT BUT
RESULTANT OF ALL OF THEM IS ZERO, THEN THE FORCES IS CALLED
BALANCED FORCES.
ONLY BRINGS A CHANGE IN THE SHAPE OF THE BODY.
ll, UNBALANCED FORCE: IF THE RESULTANT OF ALL THE FORCES ACTING ON AN
OBJECT IS NOT-ZERO, THEN THE FORCES IS CALLED UNBALANCED FORCE.
CHANGE IN SPEEDOR\IN DIRECTION OF MOTION.
BASIC FORCES IN NATURE.
GRAYITATIONAL FORGE
THE FORCE OF ATTRACTION BETWEEN ALL MASSES IN THE UNIVERSE IS CALLED
THE GRAVITATIONAL FORCE.
vs WEAKEST FORCE IN NATURE.
%S\NEGLIGIBLE FOR LIGHT & SMALL BODIES.
> SIGNIFICANT & CONSIDERABLE IN CELESTIAL BODY.
WEAK NUCLEAR FORCE
% DISCOVERED DURING STUDY OF decay.
vs FORCE OF INTERACTION B/W ELEMENTARY PARTICLES.
ws ITIS 10? TIMES’ STRONGER GRAVITATIONAL FORCE.
ELECTROMAGNETIC FORCES47|Page
THE ELECTROMAGNETIC FORCES ARE THE FORCES BETWEEN THE CHARGED.
PARTICLES. WHEN CHARGES ARE AT REST, THEN THE FORCE IS CALLED AS
ELECTROSTATIC FORCE.
>s STRONGER THAN GRAVITATIONAL FORCE,
~%s IT DOMINATES ATOMIC AND MOLECULAR PHENOMENA.
STRONG.NUCLEAR FORCES.
THIS IS THE STRONGEST FORCE FOUND IN NATURE. THESE FORCES ACT BETWEEN
THE PROTON AND THE NEUTRON IN ORDER TO BIND THEM IN THE NUCLEUS,
> STRONGEST FORCE IN NATURE,
%~ THIS FORCE IS 10°8 TIMES STRONGER THAN GRAVITATIONAL FORCES, 102
TIMES STRONGER THAN ELECTROSTATIC FORCES AND 10'S TIMES STRONGER
THAN WEAK NUCLEAR FORCES.
IMPULSE
ALARGE FORCE WHICH ACTS ON AN OBJECT EORIAVERY SHORT INTERVAL OF TIME
AND PRODUCES A LARGE CHANGE IN MOMENTUM JS'GALLED AN IMPULSIVE FORCE.
Impulse (I) = Force x Time
>s SIUNIT: NEWTON-SECOND (NS)
> ITISAVECTOR QUANTITY.
FRICTION
FRICTION IS THE FORCE THAT OPPOSESTHE RELATIVE MOTION BETWEEN THE TWO
OBJECTS WHEN ONE OBJECT ACTUALLY MOVES OR TRIES TO MOVE OVER THE
SURFACE OF ANOTHER(OBJECT.
‘TYPES OF FRICTION
THERE ARE THREE PES OF FRICTION:
1. STATIC FRICTION. IT IS AN OPPOSING FORCE THAT COMES IN INTO PLAY WHEN
AN OBJECT TENDS/TO MOVE OVER THE SURFACE OF ANOTHER OBJECT.
os SELF\ADJUSTING FORCE.
\& INCREASES AS THE APPLIED FORCE INCREASES.
Static Friction (f,) = usR
WHERE, #t,= COEFFICIENT OF STATIC FRICTION & R= NORMAL.
REACTION.
2. LIMITING FRICTION- THE MAXIMUM STATIC FRICTIONAL FORCE WHICH COME
INTO PLAY WHEN THE OBJECTS JUST BEGINS TO SLIDE OVER THE SURFACE OF
ANOTHER OBJECTS.
Limiting Friction (f,) = mR
WHERE, x= COEFFICIENT OF LIMITING FRICTION & R= NORMAL
REACTION.48| Page
> LIMITING FRICTION DOES NOT DEPEND ON AREA IN CONTACT BUT
DEPENDS ON THEIR NATURE,
3. KINETIC FRICTION. THE OPPOSING FORCE WHICH ACTS WHEN OBJECT
ACTUALLY MOVES OVER THE SURFACES IN CONTACT.
Kinitic Friction (fy) = "48
WHERE, j= COEFFICIENT OF KINETIC FRICTION & R= NORMAL
REACTION.
1. SLIDING FRICTION- WHEN ONE BODY SLIDES OVER THE SURFACE OF
ANOTHER BODY, THE RESISTANCE TO ITS MOTION IS CALLED AS SLIDING
FRICTION. IT IS ALWAYS MORE THAN ROLLING FRICTION.
Il, ROLLING FRICTION: WHEN ONE BODY ROLLS OVER THE SURFACE'OF
ANOTHER BODY, THE RESISTANCE TO ITS MOTION IS TERMED.AS,
ROLLING FRICTION. FRICTION IN THIS CASE IS VERY SMALL.
FRICTION: A NECESSARY EVIL,
FRICTION IS NECESSARY FOR DOING VARIOUS'ACTIVITIES INOUR DAILY LIFE.
+ WE COULD NOT HOLD ARTICLES SUCH AS GLASS TUMBLER AND OTHER
THINGS WITHOUT FRICTION. IT BECOMES VERY.DIFFICULT TO HOLD A GREASY
GLASS.
+ WE COULD NOT WRITE WITH PEN OR PENCIL IF THERE IS NO FRICTION.
+ FRICTION HELPS OBJECTS TO MOVE, STOP ORO CHANGE THE DIRECTION OF
MOTION. WE CANNOT WALK WITHOUT FRICTION.
FRICTION IS AN EVIL
+ IT CAUSES WEAR AND TEAR. FOR EXAMPLE, SOLES OF SHOES, BALL
BEARINGS, STEPS OF A STAIR, PARTS OF MACHINES ETC.
+ FRICTION'PRODUCES HEAT) WHEN A MACHINE IS OPERATED, HEAT
GENERATED CAUSES DAMAGE T@ THE MACHINERY.
METHODS OF REDUCING FRICTION
> / BY POLISHING.
+ | USINGLUBRICANTS.
~> \ USING BALL BEARING.49] Page
ELECTRIC CURRENT
> WHEN AN ELECTRIC CHARGE FLOWS THROUGH A CONDUCTOR, THEN THERE
IS AN ELECTRIC CURRENT IN THE CONDUCTOR
> INATORCH, THE CELLS PROVIDE FLOW OF CHARGES OR AN ELECTRIC
CURRENT THROUGH THE TORCH BULB TO GROW.
—>
Current (I) —
electron (e")
> ELECTRIC CURRENT IS DEFINED AS THE RATE OF FLOW OF CHARGE THROUGH
ACONDUCTOR. IF Q AMOUNT OF CHARGE FLOWS THROUGH A CONDUCTOR IN
TIME T, THEN
> SIUNIT-AMPERE)
SCALER QUANTITY
> \ WHEN 1,.C CHARGE FLOWS THROUGH ANY CROSS SECTION OF A CONDUCTOR
IN NSEC THEN THE ELECTRIC CURRENT FLOWING THROUGH IT IS SAID TO BE 1
AMPERE.
> SMALLUNIT
1MA= 102A 1UA= 108A
+
DIRECTION OF ELECTRIC CURRENT
~ DIRECTION OF FLOW OF POSITIVE CHARGES IS TAKEN TO BE THE DIRECTION
OF ELECTRIC CURRENT.
> CONVENTIONALLY THE DIRECTION OF ELECTRIC CURRENT /S TAKEN AS
OPPOSITE TO THE DIRECTION OF THE FLOW OF ELCTRONS:50| Page
ELECTRICITY V/S ELECTROSTATICS
> ELECTRICITY DELALS WITH MOVING CHARGE (FLOW OF CHARGE)
> ELECTROSTATICS DEALS WITH THE STATIONARY CHARGES:
TYPES OF ELECTRIC CURRENT
1, DC(DIRECT CURRENT) WHOSE MAGNITUDE AND DIRECTION DO NOT CHANGE
WITH TIME EXAMPLE: A CELL, BATTERY OR DC DYNAMO
2. AC (ALTERNATING CURRENT) WHOSE MAGNITUDE CHANGES CONTINUOUSLY
AND DIRECTION CHANGES PERIODICALLY
EXAMPLE: AC DYNAMO.
Current
+ Current
Time
. Time
Allernating Current Direct Curent
CURRENT DENSITY
> CURRENT DENSITY AT A POINT INA CONDUCTOR IS DEFINED AS THE AMOUNT
OF CURRENT FLOWING THROUGH PER UNIT AREA OF CROSS-SECTION OF THE
CONDUGITOR PROVIDED THE AREA IS HELD IN A DIRECTION NORMAL TO THE
CURRENT
]=ELECTRIC CURRENT/AREA OF CROSS SECTION
>) SIUNTT:A/M2
‘Flow of current
A '
J= The flow of current over
Cross SectionS1| Page
ELECTRICAL POTENTIAL AND POTENTIAL DIFFERENCE
+ ELECTRON ALWAYS FLOWS FROM A REGION WHERE THEIR DENSITY IS HIGH TO
REGION WHERE THEIR DENSITY IS LOW
> CONVENTIONALLY POSITIVE TERIMANL OF A CELL OR BATTERY IS AT HIGHER
POTENTIAL THAN ITS NEGATIVE TERMINAL.
+ ELECTRON-NEGATIVE TO POSITIVE TERMINAL
> ELECTRIC CURRENT: POSITIVE TO NEGATIVE TERMINAL
ELECTRIC POTENTIA\
> THE ELECTRIC POTENTIAL OF A POINT IS DEFINED AS THE AMOUNTOF WORK
DONE BY EXTERNAL FORCE WHEN A UNIT CHARGE MOVES FROM INFINITY TO.
THAT POINT IN THE ELECTRIC FIELD
Electric Potential Energy
+ Electric potential energy are similar to gravitational potential energy ~
both involve field forces. Gravitational potential
= @ mm @ reson vewecn masses
It depends on the mass and
Woke
Wer the field strength and the
tom! _ relative position
— @ PE, =mgAh
Tania clocks pobeelial © din Pe aonet
energy is a result of ig
interaction between Work done by Work done by
charges. Itdepends on the} electric field ecernaltere!
charge and field strength TREE
and relative position. ; tow PE
FFF EPPS ETS
ELECTRIC POTENTIAL DIFFERENCE
~ \THE\DIFFERENCE OF POTENTIALS OF TWO POINTS IN THE ELECTRIC FIELD
> — SIUNIT- VOLTAV)
— SCALER QUANTITY
> LETWBE THE WORK DONE IN MOVING A CHARGE Q FROM POINT B TO POINT A,
THEN THE POTENTIAL DIFFERENCE(Vs~V) IS EQAUL TO W/Q,
w
Ya-Van ae52| Page
> THE ELECTRIC POTENTIAL DIFFERENCE B/W TWO POINTS IS SAID TO BE 1
VOLT IF / JOULE WORK IS DONE IN MOVING 1 COULOMB OF ELECTRIC CHARGE
FROM ONE POINT TO OTHER.
avoir - JOULE
~ 1COULOMB
> O9V 1UV=108VIKV= 103V. IMV= 108V
VOLTMETER
> DEVICE USED TO MEASURE ELECTRIC POTENTIAL DIFFERENCE 8/W TWO
POINTS IN A CIRCUIT
> HIGH RESISTANCE DEVICE
> CONNECTED IN PARALLEL
OHM’S LAW
+ GIVEN BY GEORG SIMON OHM IN 1827
+ GIVES A RELATIONSHIP B/W CURRENT AND POTENTIAL DIFFERENCE
~ ACCORDING TO THIS LAW, THE LECTRIC CURRENT FLOWING THROUGH A
CONDUCTOR IS DIRECTLY PROPORTIONAL TO THE POTENTIAL DIFFERNCE
APPLIED ACROOS IT ENDS, PROVIDED THE PHYSICAL CONDITIONTEMP)
REMAINS UNCHANGED
V=IR
+ WHERE) RIS THE CONSTANT OF 'PROPORTIONALITY, CALLED RESISTANCE OF
THE CURRENT AT A GIVEN TEMPERATURE
EVERYDAY SCIENCE
WHY THELIGHTS OF A CAR ARE DIMMED WHEN STARTER IS OPERATED?
> \ASIT DRAWS MORE CURRENT FROM THE BATTERY FOR THE OPERATION OF
AR. THEREFORE THE VOLTAGE ACROSS THE LIGHT BULB IS LOWERED,
HENCE THE LIGHTS OF CAR IS DIMMED
RESISTANCE
+ PROPERTY OF A CONDUCTOR BY VIRTUE OF WHICH IT OPPOSSES/ RESISTS
FLOW OF CHARGESIN IT
> ITARISES DUE TO THE MUTUAL COLLISIONS OF ELECTRONS WHICH DRIFT
THROUGH THE CONDUCTOR53| Page
> SIUNIT-OHM
> SCALER QUANTITY
+ RESISTANCE OF A CONDUCTORS SAID TO BE 1 OHM, IF A POTENTIAL OF 1
VOLT ACROSS THE ENDS OF THE CONDUCTOR MAKES A CURRENT OF 1
AMPERE TO FLOW THROUGH IT
1 Volt
1 Ohm = Tampere
BESISTOR
+ ACOMPONENT IN AN ELECTRIC CIRCUIT WHICH ‘OFFERS RESISTANCE TO THE
FLOW OF ELECTRONS CONSTITUTING ELECTRIG, CURRENT
+ RESISTORS ARE USED TO MAKE THOSE DEVICESIWHERE HIGH RESISTANCES IS
REQUIRED
+ ITREDUCES CURRENT IN A CIRCUIT E.G., ALLOYS LIKE NICHROME, MANGANIN
AND CONSTANTAN
RESISTIVITY
> RESISTIVITY OF A CONDUCTORS DEFINED A THE RESISTANCE OF A
CONDUCTOR OF UNIT LENGTH AND UNIT CROSS SECTIONAL AREA
> SIUNIT-OAMMETER
+ THE RESISTWiTy Of A MATERIAL-DOES NOT DEPEND ON ITS LENGTH OR
THICKNESS SUT)DEPENDS ON THE NATURE OF THE SUSBATNACES:
| ITISA GHARACTERISTIC PROPERTY OF THE MATERIAL OF CONDUCTOR AND
VARIES ONLY IF ITS TEMPERATURE CHANGES
+ INSULATORS SUCH AS GLASS, RUBBER, EBONITE HAVE A VERY HIGH
RESISTIVITY WHILE CONDUCTORS HAVE LOW RESISTIVITY
+ ALLOYS HAVE HIGHER RESISTIVITY THAN THAT OF THEIR CONSTITUENT
METALS
+ ALLOYS ARE USED TO MAKE HEATING ELEMENTS OF DEVICES SUCH AS
ELECTRIC IRON, HEATERS THIS IS BECAUSE THEY DO NO OXIDISE EASILY AT
HIGH TEMPERATURE54| Page
+ THE HIGH RESISTIVITY OF ALLOYS ALLOWS DISSIPATION OF ELECTRICAL
ENERGY IN THE FORM OF HEAT
FACTORS ON WHICH THE RESISTANCE OF A CONDUCTOR DEPENDS
|. LENGTH OF THE CONDUCTOR-
I. AREA OF CROSS SECTION OF THE CONDUCTOR
ul, NATURE OF THE MATERIAL OF THE CONDUCTOR
1. ON TEMPERATURE
¥ RESISTANCE OF A CONDUCTOR INCREASES LINEARLY WITH INCREASING
TEMPERATURE
¥ SEMICONDUCTOR: DECREASE WITH INCREASE TEMPERATURE
¥_ ELECTROLYTESDECREASE WITH INCREASE IN TEMPERATURE
¥ ALLOY: INCREASE WITH INCREASE IN TEMPERATURE (WEAK
DEPENDENCE)
COMBINATION OF RESISTANCE,
> COMBINATION OF RESISTOR IS REQUIRED TO ACHIEVE THE DESIRED VALUE
OF RESISTANCE IN A PARTICULAR CIRCUIT
1, SERIES COMBINATION
2. PARALLEL COMBINATION,
SERIES COMBINATION
> / WHEN TWO ORMORE RESISTORS ARE CONNECTED END TO END
> MAXIMUM EFFECTIVE RESISTANCE
> \\IN SERIES'COMBINATION,
= CURRENT: SAME
~ POTENTIAL (V)- DIFFERENT
> RSRi+RetRot
+ THIS PROVES THAT OVERALL RESISTANCE INCREASES WHEN RESISTORS ARE,
CONNECTED IN SERIES
IN SERII MBINATI
+ CURRENT IN CIRCUIT IS INDEPENDENT OF THE RELATIVE POSITION OF
VARIOUS RESISTORS.55| Page
+ VACROSS ANY RESISTOR IS DIRECTLY PROPORTIONAL TO THE RESISTANCE
OF THAT RESISTOR, IF THE CURRENT THROUGH THE CIRCUIT IS CONSTANT
> VE ViE Vet V5
> R>R:,Re, Ra,
PARALLEL COMBINATION OF RESISTORS
> WHEN RESISTORS ARE CONNECTED IN PARALLEL TO EACH OTHER
fd
Req Rr Ra Rs
IN PARALLEL COMBINATION
+ THE CURRENT THROUGH EACH RESISTOR IS INVERSELY PROPORTIONAL TO
THE RESISTANCE
> VOLTAGE: INDEPENDENT
> Ieht tls
+ TOTAL RESISTANCE IS LESS THAN THE LEAST RESISTANCE OF THE CIRCUIT
> Req THE RESCIPROCAL OF RESISTANCE,56| Page
> SIUNIT-OHM" OR MHO OR SIEMEN
+ SCALER QUANTITY
+ CONDUCTANCE = 1/RESISTANNCE
CONDUCTIVITY
> RECIPROCAL OF RESISTIVITY
> SIUNIT-OHM'M" OR MHO M" OR SIEMEN M7
> CONDUCTIVITY = 1/ RESISTIVITY
NOTES
> CONDUCTIVITY OF CONDUCTOR INCREASES WITH INCREASE IN TEMPERATURE
+ CONDUCTIVITY OF SEMICONDUCTOR INCREASES WITH INCREASE IN
TEMPERATURE
> INSULATORS— NO EFFECT
~ THE CONDUCTIVITY OF METALS AND ALLOYS\INCREASES AS THEY ARE
COOLED
— THE PRODUCT OF CONDUCTIVITY AND RESISTIVITY AND CONDUCTANCE AND
RESISTANCE FOR A MATERIAL IS|ALWAYS UNITY
CLASSIFICATION OF MATERIALS IN TERMS OF CONDUCTIVITY
%s CONDUCTORS-SILVER, ALUMINIUM
= INSULATORS. GLASS, RUBBER
> SEMICONDUCTORS. GERMANIUM, SILICON
SUPERCONDUCTORS
— \ SUPERCONDUCTORS- WHEN FEW METALS ARE COOLED THEN BELOW A
GERTAIN CRITICAL TEMPERATURE THEIR ELECTRICAL RESISTANCE SUDDENLY
BECOMES ZERO. IN THIS STATE. THESE SUBSTANCES ARE CALLED
SUPERCONDUCTORS AND THIS PHENOMENON IS CALLED
SUPERCONDUCTIVITY.
> MERCURY BECOMES SUPERCONDUCTOR AT 4.2K, LEAD AT 7.25 K AND
NIOBIUM AT 9.2 K
THERMISTORS
+ AHEAT SENSITIVE DEVICE WHOSE RESISTIVITY CHANGES VERY RAPIDLY WITH
(CHANGE OF TEMPERATUREs7|Page
# USES
1. TO DETECT SMALL TEMP CHANGES AND TO MEASURE VERY LOW TEMP
I. TO SFAEGUARD THE FILAMENT OF THE PICTURE TUBE OF A TELIVISION
SET AGAINST THE VARIATION OF CURRENT
i. INTEMP CONTROLS UNITS OF INDUSTRY
Iv. IN PROTECTION OF WINDINGS OF GENERATORS, TRANSFORMER AND.
MOTROS
Semiconductor vs Superconductor
ee a ten!
Bg
Sree Mae
ere Sai
Oa D TL) v rection Ree any
Reve saa
ome a
Cree acs
NCUA aed oc)
oteotar Maced
CLUDE
Malls aa?
cay ae ia)
eels ic
ELECTRICAL CELL,
> | ASOURCE OF\EMF WHICH MAINTAINS THE CONSTANT FLOW OF CURRENT
ACROSS (AN ELECTRIC CIRCUIT
# EMF OF A CELL, MAXIUMUN POTENTIAL DIFFERENCE B/W TWO ELECTRODES
OF THE-GEUL WHEN NO CURRENT IS DRAWN FROM THE CELL
# INTERNAL RESISTANCE OF A CELL: RESISTANCE OFFERED BY THE
ELECTROLYTE AND ELECTRODES OF A CELL WHEN THE ELECTRIC CURRENT
FLOWS THROUGH IT58| Page
HEATING EFFECTS OF ELECTRIC CURRENT
INTRO
> WHEN AN ELECTRIC CURRENT IS PASSED THROUGH A HIGH RESISTANCE WIRE,
LIKE NICHROME WIRE, THE RESISTANCE WIRE BECOMSE VERY HOT AND
PRODUCES HEAT
+ EXAMPLE: AN ELECTRIC FAN BECOMES WARM IF USED CONTINUOSLY FOR
LONGER TIMES
JOULE’S LAW OF HEATING
> WHEN AN ELECTRIC CURRENT PASSES THROUGH A CONDUCTOR'FOR
SOME TIME, THE CONDUCTOR GETS HEATED UP.
> THUS HEATING OF A CONDUCTOR DUE TO THE FLOW OF ELECTRIC
CURRENT THROUGH IT IS KNOWN AS JOULE'S LAW:OF HEATING. HEAT
GENERATED,
H=PRt
# — JOULE'S LAW STATES THAT H (HEAT) = I (CURRENT) X V (VOLTAGE) XT (TIME THE
CURRENT IS ALLOWED TO FLOW).
# OR, WRITTEN DIFFERENTLY, H (HEAT) = I? (CURRENT SQUARED) X R
(RESISTANCE) XT (TIME THE CURRENT IS ALLOWED TO FLOW).
# — JOULE'S LAW IS AN EQUATION THAT GIVES THE AMOUNT OF HEAT (ENERGY)
DELIVERED TO SOMETHING.
4 JOULE’S LAW STATES THE AMOUNT OF HEAT PRODUCTION IN A
CONDUCTORIS:
1. DIRECTLY PROPORTIONAL TO THE SQUARE OF ELECTRIC CURRENT
FLOWING THROUGH IT.
\. IS DIRECTLY PROPORTIONAL TO THE RESISTANCE OF THE
CONDUCTOR.
i, DIRECTLY PROPORTIONAL TO THE TIME FOR WHICH ELECTRIC.
CURRENT FLOWS THROUGH THE CONDUCTOR.59| Page
USES OF HEATING EFFECTS OF ELECTRIC CURRENT 4
The heating effect of electric current is used in electrical appliances like
electric heater, electric iron, electric room heater, immersion heater elec-
tric kettle, hair dryer etc.
All these appliances have a coil of wire called an element. When electric.
current flows through the element it becomes hot and gives out heat.
The amount of heat produced in a wire depends upon its material, length
and thickness.
eectric Hears, electric tron oot” ROOM Hoon
a—_
ELECTRIC BULB
— BULB HAS A FILAMENT MADE OF TUNGSTEN
— TUNGSTEN HAS AHIGH RESISTIVITY AND A HIGH M.P.3380°C
—> MOST OF THE POWER CONSUMED BY THIS, IS DISSIPATED IN THE FORM OF
HEAT AND SOME PART IS CONVERTED INTO LIGHT
> THE FILAMENT IS THERMALLY ISOLATED AND THE BULB IS FILLED WITH
INACTIVE NITROGEN OR ARGONGAS TO PROLONG THE LIFE OF FILAMENT
EVERYDAY SCIENCE,
~ / BULBS FUSE SOMETIMES WHEN THEY ARE SWITCHED ON AS THE BULB IS.
SWITCHED ON-ITS LIGHT UP AND ITS TEMPERATURE INCREASES,
> \\DUB.TO WHICH THE STRENGTH OF THE FILAMENT OF THE BULB DECREASES.
AETERMANY CYCLES, THE STRENGTH OF THE BULBS BECOMES VERY LOW,
WHEN SUCHAS BULBED IS SWITCHED ON, ITS FILAMENT BURNS OFF
+ THE BRIGHTNESS OF LIGHT BULBS DECREASE GRADUALLY WITH ITS PERIOD
OF USE BECAUSE
> WHEN THE BULB IS USED, THE EVAPORATION OF THE METAL FROM THE,
FILAMENT OF BULB TAKES PLACE WITH TIME WHICH DEPOSITS ON THE INNER
SIDE OF THE GLASS WALL AS BLACK SUBSTANCES. DUE TO THIS THE
FILAMENT OF THE BULB BECOMES THINNER AND THINNER WITH USE , THIS IN60| Page
TURN THE INCREASE THE RESISTANCE OF THE BULB SO BRIGHTNESS OF BULB.
DECRAESES GRADUALLY WITH ITS PERIOD OF TIME
ELECTRIC FUSE
~ USED AS SAFETY DEVICE IN HOUSEHOLD CIRCUITSBASED ON HEATING
EFFECT OF CURRENT
~ CONNECTED IN SERIES WITH THE MAIN SUPPLY
> FUSE CONSISTS OF ALLOY OF LEAD AND TIN WHICH HAS APPROPRIATE
MEALTING POINT.
> WHEN THE CURRENT FLOWING THROUGH THE CIRCUIT EXCEEDS THE'SAFE,
LIMIT THE TEMPERATURE OF THE FUSE WIRE INCREASE DUEFO WHICH FUSE
WIRE MELTS AND BREAKS THE CIRCUIT
> THIS HELPS TO PROTECT THE OTHER CIRCUIT ELEMENTS FROM HAZARDS
CAUSED BY THE HEAVY CURRENT.
POWER
> AMOUNT OF ELECTRIC ENERGY CONSUMED IN A CIRCUIT PER UNIT TIME
> SIUNIT-WATT OR JOULE/SEC
+ ELECTRIC POWERIS SAID TOBE 1\ WATT IF 1 AMO CURRENT FLOWS THROUGH
ACIRCUIT HAVING 1 VOLT POTENTIAL DIFFERENCE
> 1 WATT# 1 VOLT*1 AMR
BIGGER UNITS OF POWER
> (1 KW= To3W.
>\ 1 MW= ‘Loew
> ‘\GWa199w
> PRACTIGAEUNIT: 1HP= 746W
~ COMMERCIAL UNIT- 1KWH= 1000WH = 1000"3600WS = 3.6°106WS =
3.6"106)
NUMBER OF UNITS CONSUMED BY ELECTRICAL APPLIANCES
> NO OF UNITS= WATT*HOURS'DAY/ 1000