Summary
Summary Classical Optics
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Handwritten cheat sheet for Classical Optics by JEE 2020, GATE, CSIR topper
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atharvashinde
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OPTICSbeh one
hexeate no 0cual boudatieg
pf
af cuaelength an ancBhey
does hot ceem o interct with tsel ie sha
ldight
ntoamahion
Angle of incidence =Lof reflechon
sinQi= nsin Qr(snells Jaas)
Fexmats Poinciple oF least time i
Out of all possible paths hat light might take,
t tahes he path cwhich reaures shaxtest time
let MM be a pare ir minor
what is he shotest palh fom At¡ B.
MD E
ST. Jight has to shihe he miaoy
E we move pt DJo E he Jengh
AE shghty nereases but BE << BD
Foxwe finding
censbuct
a ptCfoxcohieh
B S:T.
the ime is shstesi
BN' M'e
fox any pt G on the mros Ac + Ce'= ACtCe
A+ CBd time aken by ight
ActC8 must be on theSAme Ine.
n this Sn we
asguned pt ARe to be Bxed
an cto be arbihaay does this
his mean it was
, aleady deeided that ight cwll paæs theough
shelt
B even befoe it hit the minoy? Or
points A&C be Fxed nd not A&B
JF an is hept at B& an chsener at pt A
ohe
a Atheogh
hght atex hiting the chjedt goes toobsever
the Lyt
C. Bu he eye-baìn-brain ssBem oF the
agsumeg that Jight came Foom B' an
illusionof the obiect is cheatd at e' behind
the
h nehachon the shostest path (et
ine) does not_mean least tme
Air as the speed of lighd in bot medium
class is ditt.light could tay to coIey most.
dist in densex mediuM
Drawn when lght move fromDenser to Rares
mecium it mcoves fom Noxme pasont su
Avice - YexS Actuat
Atmesphae Suh
Glass Eoxth
AA miaage is Skye lghton toad
xeflechon of
air in deset is rey justabore the
The
xoad. Hotex i is mae xpanded and decreasez
Hhe sped of ight Jesser than conder airSa ight
hat
to achei ye least hme s saidto tocwe in this
region and then cYO up aight fapm
sty
, Le indexoP aix agcinst alcatex Di= /Va
nindex of air aguire gass
then
mcae, pezise satement of Fexoats principle
A ay poing Ina cestaln pahicabe path hazhe
poopety ht JE mahe Lsmall
asmal chage
Ghit) n the Tyn any mamerchange sayabe no
st cader changes in me onlya 24
an other aond ght takesa path csder chance
such that H
are many cheg paths neaxbe which tahe
actty thb same tme. almast
dEue tae snall hth and a
bage d then S>d but SJeng
h
d
Lds 2s
A=g-d &s?-4?= h (s-d)(std)=l
d+s
2.5
we dezine to
aange the ouBNed
Aiy
dass auhich meats an pt P will
to proceed tocwands co be b
so we need a sutace at
Qto P is eaual to hime theime it tahes Ro
0s oith a haxd to fiom P to0 ohich proides
it beomes mahe 4° cYVe byt E g
a2° cYe
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