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NSIT  A Project Reported On

To Find The Resolving Power of a Telescope 

Submitted By

  Hariom 453/ICE/15

  anvir 45!/ICE/15

  a"#am $agar 451/ICE/15

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CERTIFICATE

 This is Cer#ified #o %e #he %onafide wor& of #he s#"den# in #he Physics 

la%ora#or' d"ring #he academic 'ear !(15

)"m%er of prac#icals cer#ified 10 o"# of 10 in #he s"%*ec# of Physics

DATE - 26-oct-2015

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+I$T ,F E-PERI.E)T

1 To 0e#ermine The al"e of 2g ' ar Pend"l"m and Find The Radi"s of 'ra#ion

! To s#"d' .omen# of Iner#ia of a fl'wheel3 To $#"d' #he .ass $pring $'s#em

4 To $#"d' The Resolving Power of a Telescope

5 To Find The aveleng#h of a $odi"m +igh#6 ' )ew#on7s Ring

8 To Find The aveleng#h of a $odi"m +igh#6 ' Fresnel7s iprism

9 To Find The aveleng#h of .erc"r' reen +igh# ' 0iffrac#ion ra#ing "sing$pec#rome#er

: To Find The Focal +eng#h of Com%ina#ion of Two +enses ' )odal $lide

 ;ssem%l' ;nd erif' The Form"la

< To Find The $pecific Ro#a#ion of Cane $"gar ' Polarime#er

1( To Find The 0ispersive Power of Prism .a#erial =sing Polarime#er

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 ;I. 

To Find The Resolving Power of a Telescope

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 ;PP;R;T=$ RE>=IRE0?

TE+E$C,PEP,ERF=+ $,=RCE ,F .,),CHR,.;TIC

+IHT;RI;+E RECT;)=+;R ;PERT=RE$HEET ,F P+;)E +;$$ @Coa#ed i#h Thin Foil

and Con#aining Two Fine Parallel +inesA

.ICR,.ETER .ICR,$C,PE

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THE,RB

 RESOLVI! PO"ER I$ THE ;I+ITB ,F ;) I.;I)I)

0EICE T, $EP;R;TE P,I)T$ ,F ;) ,ECT TH;T

 ;RE +,C;TE0 ;T ; $.;++ ;PERT=RE 0I$T;)CETHE TER. RE$,+=TI,) ,R .I)I.=. RE$,+;+E

0I$T;)CE I$ THE .I)I.=. 0I$T;)CE ETEE) T,0I$TI)=I$H;+E ,ECT ;)0 I.;E6

$CIE)TIFIC;++B RE$,+=TI,) I$ =$E0 T, 0E$CRIE

PRECI$I,) ITH HICH THE I)$TR=.E)T .E;$=RE$

,R REC,R0$ ;)B ;RI;+E I) THE $PECI.E) ,R$;.P+E =)0ER $T,RB

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 ;ccording To The Dind of ,%*ec# To %e ,%served6I#s 0is#ance From The ,%server and The

aveleng#h of +igh# =sed6 e Can 0e#ermine The

Resolving Power )eeded For a $pecific T'pe of

Telescope =sing The Form"la $#a#ed In The

Eperimen# ie" d

 oo7 G

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.ICR,.ETER .ICR,$,PE

 ; .icrome#er .icroscope

Consis#s of a Compo"nd

.icroscope hose E'e piece is

Fi##ed i#h a .icrome#er $crew

' The .eans of hich a Fine

Thread $epara#ed ' a $mall

0is#ance Can e .oved in The

Field of iew of .icroscope The

,%*ec#ive of .icroscope Forms aReal Image of ,%*ec#s

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F,R.=+; =$E0?

 oo7? 0is#ance e#ween

Two ,%*ec#s "? 0is#ance e#ween

,%*ec# and #he ,%*ec#ive of

Telescope

 G ? aveleng#h d? id#h of ;per#"re

" d oo7 G

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 Firs#6 mo"n# #he do"%le sli# glass on a s#and s"ch #ha# #he #wo sli#s are

ver#icle and #hen place i# closer #o #he so"rce of ligh# so #ha# #he #wo sli#sare clearl' visi%le #hro"gh #he #elescopeThen6 mo"n# #he #elescope on ano#her s#and s"ch #ha# i#s lies horion#al

Fi #he ad*"s#a%le sli# ver#icall' on #he o%*ec#ive of #he #elescope.eas"re #he dis#ance %e#ween #he rec#ang"la# sli# on #he #elescope and

#he do"%le sli# which gives " )ow open #he ad*"s#a%le sli# comple#el' wi#h #he help of microme#er

screw provided and ad*"s# #he foc"s "sing rac& and pinion screw of #he

#elescope so #ha# #he #wo sli#s are sharpl' visi%le in #he field of view of #he

e'epiece of #elescope0ecrease #he wid#h of #he sli# wi#h #he help of microme#er screw #ill #he

#wo sli#s come closer and closer #o a##ain #he *"s# resolved posi#ion ;# #hispoin#6 #he #wo sli#s *"s# merge and appear li&e one )o#e down #he reading

of #he microme#er This gives #he wid#h of sli# d *"s# s"fficien# #o resolve #he

#wo sli#s

PROCEDURE

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.eas"re #he separa#ion %e#ween #he #wo sli#s oo7 wi#h #he help of

#raveling microscope $e# #he crosswire #angen#ial on #he lef# sli# and

no#e down #he reading on horion#al scale Then se# #he crosswire

#angen#ial on #he righ# sli# and again no#e down #he reading The

difference %e#ween #wo readings for #he #wo posi#ions of #he crosswire

gives #he separa#ion %e#ween #he sli#sRepea# The eperimen# for differen# val"es of "6 meas"ring #he

val"e of 0 each #ime

For each se# of o%serva#ions6 de#ermine #he ra#io oo7 G" d

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S.No MIN.SLIT WIDTHFOR RESOLUTION

(d) In mm

THEORETICALRESOLVINGPOWER(λ/d)

(*1!"#)

DISTANCE OFSLITS FROMTELESCOPE

($)(In %m)

PRACTICARESOLVIN

POWER (oo&/$)

(*1!"#)

(oo&/$)/(λ/d)

1 (195 3388: 1(( 3((( (:<1(

' (185 359(< <( 335( (<333

#

(145 4(834 :( 395( (<!!:

(13( 453!3 9( 4!:5 (<454

(115 51!34 8( 5((( (<951

,$ER;TI,) Pi#ch of $crew a"ge1 mm +eas# Co"n# of $crew a"ge ((5mm aveleng#h of +igh# =sed 5:<!; 5:<!J1(KL4mm

 0is#ance e#ween The $li#s @oo7A 3mm

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C;+C=+;TI,)$

 .ean Theore#ical Resolving Power M@G/d A

  3388:N359(<N4(834N453!3N51!3

!(858 4131!

 .ean Eperimen#al Resolving Power M@oo7/"A

  3N35(N395(N4!:5N5 3<(9

 Percen#age Error @ Theore#ical RP O Eperimen#al RP A

  @4131! L 3<(9A 54!8

 

5

 5

5

  5

5

Theore#ical RP- 1((

4131!- 1((

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RE$=+T

PERCE)T;E ERR,R 54!8

e $ee Tha# #he Epression for The Resolving Power of a

Telescope Fi##ed i#h a Rec#ang"lar ;per#"re has %een erified

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 ;0;)CE0 ;PP+IC;TI,)$

 

1 ,PTIC;+ TE+E$C,PE

! $,+;R TE+E$C,PE3 -LR;B TE+E$C,PE

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,PTIC;+ TE+E$C,PE

 ;n optic#$ te$escope is a #elescope #ha# ga#hers

and foc"ses ligh#6 mainl' from #he visi%le par# of

#he elec#romagne#ic spec#r"m6 #o crea#e a magnified

image for direc# view6 or #o ma&e a pho#ograph6 or #o

collec# da#a #hro"gh elec#ronic image sensors

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$,+;R TE+E$C,PE

 ; so$#r te$escope is a special p"rpose te$escope "sed

#o o%serve #he $"n So$#r te$escopes "s"all' de#ec#

ligh# wi#h waveleng#hs in6 or no# far o"#side6 #he visi%le

spec#r"m

 

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-LR;B TE+E$C,PE

 ;n %Lr#y te$escope @-RTA is a te$escope #ha# is designed

#o o%serve remo#e o%*ec#s in #he %Lr#y spec#r"m In order #o

ge# a%ove #he Ear#hQs a#mosphere6 which is opa"e #o

%Lr#ys6 %Lr#y te$escopes m"s# %e mo"n#ed on high

al#i#"de roc&e#s or ar#ificial sa#elli#es -Lra' #elescopes can

"se a varie#' of differen# designs #o image -Lra's The

mos# common me#hods "sed in -Lra' #elescopes

are graing incidence mirrors and coded aper#"res Thelimi#a#ions of -Lra' op#ics res"l# in m"ch narrower fields of

view #han visi%le or = #elescopes

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PREC;=TI,)$ ;)0 $,=RCE$

,F ERR,R

The ais of #elescope sho"ld %e horion#al and perpendic"lar #o #he

plane of #he do"%le sli#

The do"%le sli# on glass slide and rec#ang"lar sli# sho"ld %e ver#ical0o"%le sli# and #he #elescope sho"ld eac#l' a# #he same heigh#ac&lash error in #he microme#er screw sho"ld %e avoidedThe *"s# resolved posi#ion of #he sli#s m"s# %e eac#l' loca#edThe dis#ance 2" sho"ld %e meas"red from #he rec#ang"lar sli# of #he

#elescope #o #he do"%le sli#