]L]EQ-< ((A.E./A. [ [ECO.)
FEE (Gljd) 1=<: C@G]U[EQ ALSEK [ES[ (CA[) Klte6 = =: FFldulry, 1 1=<: ((SOJH[-1) | | [JGE 66 (1.3= p.g. t` 5.3= p.g)
Kurltj`d6 3 3 O O`urs | | G Glx. G Glrns6 3 38= SUAFEC[ 66 ] ]OZSJCS
PPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PPPPPPPPPPPPPPPPPPP
Qes`dldce Ekuvedtures Itk. Qebjsterek & C`rp`rlte @hhjce6 CB [`wer, L-;8 & 51, J]JL, Delr Cjty Glii, Folilwlr Q`lk, N`tl (Qlf.)-31;==5 [ei.D`.6 =2;;-88=2222, 3=<1<==, 3=<1111, 8835555 | [`ii Hree6 == 15? 5555 | Hlx6 +:<-=11-3:<82111 +:<-=11-3:< 82111 | =?==3 ;;; ??? Reasjte6 www.res`dldce.lc.jd | E-glji6 c`dtlctMres`dldce.lc.jd E-glji6 c`dtlctMres`dldce.lc.jd | CJD6 U?=3=1QF1==2]IC=1;=1:
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| FEE GLJD-1=<: | KL[E 6 =:-=<-1=<: =:-=<-1 =<: (SOJH[-1) | ]OZSJCS
]LQ[ 6 ]OZSJCS Strljbot Strljb ot @afectjve [ype (
)
[ojs sectj`d c`dtljds 3= guitjpie co`jce questj`ds. Elco questj`d ols ; co`jces (<), (1), (3) ldk (;) h`r jts ldswer, `ut `h wojco @diy @de js c`rrect. ai ^n.G esl 3= bSlL jzQ>sk jz'u ks ; h`kZj (<), (1), (3) rHnn rHnn (;) bSlW htues l is bSL <.
[w` pilde gjrr`rs lre jdcijdek t` elco `toer suco tolt l rly `h ijbot jdcjkedt `d toe hjrst gjrr`r (G<) ldk plrliiei t` toe sec`dk gjrr`r (G1) js hjdliiy rehiectek hr`g toe sec`dk gjrr`r (G1) plrliiei t` toe hjrst gjrr`r (G<). [oe ldbie aetweed toe tw` gjrr`rs wjii ae 6 dns iery djV.nnsl (G< rHnn G1) kns jfIjf jfIjf ,sis kns.n jf f^nn x>n bS htiis htiis jzkn'n ko ,k hkf.n tc t c G1 ks ienlrf
tnro bq>o G< jf vnjhrr bnsro bS rns vlrr% `b G1 is G< ks ienlrf jfn`hrVr bnsro bSL djV.nnsl ks cop cop kns.n kn enu bnsxn 6 (<) 25¶
(1) :=¶
Lds.
(;)
S`i.
< + 1 7 38= – 1 7 = + 3 7 = 7 8=½
(3) ;5¶
(;) 8=¶
G1
t`tli
t`tli
1.
G<
@de `h toe tw` jkedtjcli c`dkuctjdb wjres `h iedbto I js aedt jd toe h`rg `h l cjrcuilr i``p ldk toe `toer `de jdt` l cjrcuilr c`ji `h D jkedtjcli turds. Jh toe slge curredt js plssek jd a`to, toe rltj` `h toe A glbdetjc hjeik lt toe cedtrli `h toe i``p (AI) t` tolt lt toe t oe cedtre `h toe c`ji (AC), j.e., I wjii ae 6 AC
yEcnaV I ks dns ,kienu pnyk rnfnsl esl is ,k ,k kns `m Únnknf `y> ko vnkmhÚn esl yn>n tnrn bS rHnn dw ifs kns D ,k ienu \sfnsl ko `mÚnnknf kq Gyo l es ens l ensG+n tnrn bSL >hd dnsunsl is ,k bo /nnfn jz`nhbr ko tnro bSW rns `y> rHnn kq lGyo ks ksUdznsl jf gjhIHnr pqEcko> {ns7nW ße'n% AI rHnn AC bnslW rc vuq jnr (<) Lds.
(1)
< D
(1)
< D1
(3) D1
AI bnsxn 6 AC (;) D
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| FEE GLJD-1=<: | KL[E 6 =:-=<-1=<: =:-=<-1 =<: (SOJH[-1) | ]OZSJCS S`i.
H`r l cjrcuilr i``p, I 7 1Q<, Q< 7 AI 7
= 1Q<
= 1I
I 1
1
h`r l cjrcuilr c`ji `h D jkedtjcli turds I 7 D1Q1 AC 7 D
= 1Q 1
Q1 7
D
= 1I
I 1D
1D
AI = 1 1I < 1 AC 1I D = 1D D 3.
Jd l c`ggudjcltj`d systeg `perltjdb lt wlveiedbto ?== dg, `diy `de percedt `h s`urce hrequedcy js lvljilaie ls sjbdli aldkwjkto. [oe dugaer `h colddeis lcc`gg`kltek h`r trldsgjttjdb [X sjbdlis `h aldk wjkto 8 GOz lre ([lne vei`cjty `h ijbot c 7 3 Ò <=? g/s, o 7 8.8 Ò <= –3; F-sW
/>V jf kn>V kfrs bq, ,k ilpnf @>`IHnn esl hi_uy ko kqy I7nnsr vn`mhÚn kn en7n ,k jzhr'nr cSlG ?== dg rfl xdS/>V pnSG naV + ks hy, gj>nsx kf ikrs i krs bSlL 8 GOz cSlG pnSG+naV ks [X hi_uynsl `nys `nys hkrus pSUynsl kns aiis aiis ilpnhfr hk>n tn ikrn bS l Y hd>n bS % c 7 3 Ò <=? g/s, o 7 8.8 Ò <= –3; F-sW ( (<) 3.25 Ò <=8 Lds.
(3)
S`i.
3 <=? h7 ?== <= :
(1) 3.?8 Ò <=8
(3) 8.15 Ò <=5
(;) ;.?2 Ò <=5
C
Sjbdli aldkwjkto 7
< 3 h 7 <=<3 <== ?
3 <=<3 ? D`. `h sjbdli 7 8.15 <= 5 8 8 <= ;.
[w` Clrd`t edbjdes L ldk A lre `perltek jd serjes. [oe hjrst `de, L recejves oelt lt [< (78== N) ldk refects t` l reserv`jr lt tegperlture [1. [oe sec`dk edbjde A recejves oelt refectek ay toe hjrst edbjde ldk, jd turd, refects t` l oelt reserv`jr lt [3 (7;==N). Clicuilte toe tegperlture [1 jh toe w`rn `utputs `h toe tw` edbjdes lre equli 6
dns knunsV (Clrd`t) al tu L rHnn A kns Fs.noße es l pyn>n tnrn bSL jbyn altu L rnjenu [< (78== N) jf Å"en Å "en ysrn bS ` rnjenu [1 ks ,k Å"en Å" en Onl Gnf Gnf kns Å"en dsrn bSL dwifn altu A ai jbys altu }nfn do bqaV Å"en Å" en kns yskf rnjenu [3 (7;==N) ks Å"en OnlGnf kns Å"en dsrn bSL >hd dnsuns l altunsl kn kn>V gQjndu cfncf bS rns [1 kn enu bnsxn 6 (<) 5== n Lds.
(<)
(1) 3== N
(3) 8== N
(;) ;== N
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| FEE GLJD-1=<: | KL[E 6 =:-=<-1=<: =:-=<-1 =<: (SOJH[-1) | ]OZSJCS S`i. w
w
\<
\1
\1
\3
R 7 \< – \1 R 7 \1 – \3 \< – \1 7 \1 – \3 \< + \3 7 1\1 \< \3 1 \1 \1 [< [3 [ [ 1 [1 < 3 7 5== N. [1 [1 1 5.
Lds. S`i.
L r`k `h glss 'G' ldk iedbto '1I' '1I' js suspedkek lt jts gjkkie gjkkie ay l wjre. Jt exojajts t`rsj`dli t`rsj`dli `scjiiltj`ds > Jh tw` glsses elco `h 'g' lre lttlcoek lt kjstldce 'I/1' hr`g jts cedtre `h a`to sjkes, jt rekuces toe `scjiiltj`d hrequedcy ay 1=%. [oe vliue `h rltj` g/G js c i`se t` 6 dz@>enu 'G' rHnn yEcnaV y EcnaV '1I' ko ,k DG+ kns giks e/>hcUdq is ,k rnf }nfn yXkn>n x>n bSL >b DG+ efnsG+ dnsyu kfro bSL >hd jzQ >sk dz@>enu 'g' ks ks dns hj.Gnsl kns DG+ ks e/>hcUdq is 'I/1' dw dwfo jf dnsunsl rf\ tns G+rs bSlW rns dnsyu ko vn`mhÚn 1=% 0nX tnro bSL vuqjnr g/G kn ihUukX enu bnsxn 6 (<) =.52 (1) =.<2 (3) =.22 (;) =.32 (;)
I/1
I/1
g
g G I
h = 7
I
< c 1 =
< 3c 1 GI1 GI1 gI1 ' 7 1 3 ; < c h' 7 7 =.? h = 1 1 G g I 3 1 Hr`g equltj`d (<) ldk (1) g : 3 =.325 G 1; ?
h = 7
...........(<)
...........(1)
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| FEE GLJD-1=<: | KL[E 6 =:-=<-1=<: =:-=<-1 =<: (SOJH[-1) | ]OZSJCS 8.
L p`wer trldsgjssj`d ijde heeks jdput p`wer lt 13== X t` l step k`wd trldsh`rger wjto jts prjglry wjdkjdbs olvjdb ;=== turds. [oe `utput p`wer js keijverek lt 13= X ay toe trldsh`rger. Jh toe curredt jd toe prjglry `h toe trldsh`rger js 5L ldk jts ehhjcjedcy js :=%, toe `utput curredt w`uik ae 6 13== X ko ,k 'nhKr ilpf.n ynau ,k vjpn>o XªnRi\neVfW htiks jznHnhek kqlGyo esl ;=== \sfsl bSlW kns 'nhKr
jzdnu kfro bSL XªnRi\nR eVf 13= X ks huxVr h`On` jf 'nhKr h`rf.n kfrn bSL >hd XªnRi\nR R i\nReVf ko jznHnhek kqlGyo esl rHnn aiko d{nrn :=% bSW rns huxVr /nnfn kn kn enu bnsxn 6 5L ko /nnfn bS rHnn (<) ;5 L Lds.
(<)
S`i.
(1) 15 L
(3) 35 L
(;) 5= L
esjs <== epjp
13= js <== 13== 5 js 7 ;5 L :=
2.
Jd toe bjved cjrcujt toe jdterdli resjstldce `h toe
hd>s x>s jhfjHn esl bSL >hd Q< 7 ;==, Q3 7 <== rHnn Q; 7 5== bSL vnSf Q; jf yxs ,k vnd'nV vnd'nV `nsZXeoXf kn jnA>nlk 5X bSW rns Q1 kn enu bnsxn 6 Q3
Q5
Q< Q1
(<) ;5=
(1) 55=
Lds.
(;)
S`i.
X5== 7 5X 7
< Q3
Q;
<==
5==
1
Q1
(3) 13=
(;) 3==
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| FEE GLJD-1=<: | KL[E 6 =:-=<-1=<: =:-=<-1 =<: (SOJH[-1) | ]OZSJCS 5 < 5== <== X<== 7
<
Q1 7 ?.
8 <== 7 3== 1
[oe t`p `h l wlter tldn js `ped t` ljr ldk jts wlter ievei js gljdtljdek. Jt js bjvjdb `ut =.2; g3 / gjd. wlter per gjdute tor`ubo l cjrcuilr `pedjdb `h 1 cg rlkjus jd jts wlii. [oe kepto `h toe cedtre `h toe `pedjdb hr`g toe ievei `h wlter jd toe tldn js ci`se t` 6 jnuo ko ,k Xlko Åjf is ^nqyo bq>o bS rHnn aiesl jnuo kn Irf hIHnf bSL aiko do`nf esl gjhIHnr ,k , k 1 cg
h7n[>n ks `mÚnnknf Dsd is jnuo =.2; g3 / gjd. ko df is cb fbn bSL ai Dsd ks ksUdz ko jnuo ko irb is xbfnaV kn ihUukX enu bnsxn 6 (<) 1.: g Lds. S`i.
:.
(1) :.8 g
(3) ;.? g
(;) 8.= g
(3)
\ 7 =.2; g3/ gjd =.2; 3 7 g / sec 7 LX 7 Ò (=.=1)1 Ò X 8= X 7 :.?< g/s X1 o7 ;.? g 1b Jd Z`udb's k`uaie sijt experjgedt, toe sijts lre pilcek =.31= gg lplrt. Ijbot `h wlveiedbto 7 5== dg js jdcjkedt `d toe sijts. [oe t`tli dugaer `h arjbot hrjdbes tolt lre `aservek jd toe ldbuilr rldbe – 3=¶ 9 9 3=¶ js 6 >lx ks ,k h}h4fo gjkf.n esl h4hfV>nsl ks cop dwfo =.31= gg bSL rflxdS0>V 7 5== dg kn jzkn'n h4hfV>nsl jf
jG+rn bSL kns.no> jfni –3=¶ 9 9 3=¶ esl hd^nus `nyo doJr h×ltnsl ko il^>n >n bns xo 6
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| FEE GLJD-1=<: | KL[E 6 =:-=<-1=<: =:-=<-1 =<: (SOJH[-1) | ]OZSJCS <=.
L clra`d resjstldce ols ols l h`ii`wjdb c`i`ur c`i`ur c`ke. Rolt js toe vliue vliue `h toe resjstldce 0 ,k kncVu jzhrfns/n kn kyf kns knsG huEu bSlL aiks jzhrfns/n kn enu bnsxn 6
B@Z
(<) 5.3 G + 5% Lds. S`i.
<<.
(1) 53= n + 5%
B`iked
(3) 8; n + <=%
(;) 8.; G + 5%
(1)
n 5 bnsxo unflxo flx ks hy, h}ro> il^>n >n 3 bnsxo joys flx ks hy, rmro> il^>n ; bnsxo iqubfs flx ks hy, ihb".nqrn ¼5% bnsxo jzhrfns/n 53 Ò <=; ¼ 5% bSL [oe ederby lss`cjltek wjto eiectrjc hjeik js (U E) ldk wjto glbdetjc hjeik js (UA) h`r ld eiectr`glbdetjc wlve jd hree splce. [oed 6 >hd eqKr vnkn'n esl ,k h`|qr pqEcko> rflx ks h`|qr {ns7n esl huhbr ÅtnV (UE) rHnn pqEcko> {ns7n esl huhbr huhbr ÅtnV (UA) bSW rns 6 6 U (<) UE 9 UA (1) UE 7 A (3) UE 4 UA (;) UE 7 UA 1
Lds. S`i.
(;)
<1.
L r`k `h iedbto 5= cg js pjv`tek lt `de edk. Jt js rljsek suco tolt jh glnes ld ldbie `h 3=¶ hr`g hr `g toe t oe o`rjz`dtli ls so`wd ldk reielsek hr`g rest. Jts ldbuilr speek woed jt plsses tor`ubo toe o`rjz`dtli (jd rlk s –<) wjii ae (b 7 <= g/s –1) 5= cg ko ,k DG+ ks ,k hifs kns koyhkr hk>n bS lL aikns {nS hrt is 3=¶ kns.n jfW hp7nnuqinfW gAnkf
Ederby js equliiy kjstrjautek jd eiectrjc hjeik & glbdetjc hjeik
hIHnfn`IHnn is DnsG+ hd>n tnrn bSl tc tc >b DG+ {nSh rt v`IHnn is xqtfro bS rns aiko kns.no> pny kn rlk s –< esl enu bnsxn % ( hd>n bS % b 7 <= g/s –1)
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| FEE GLJD-1=<: | KL[E 6 =:-=<-1=<: =:-=<-1 =<: (SOJH[-1) | ]OZSJCS S`i.
I/1 @
3=½
I I sjd3= 1 ;
< 1 I Gb 1 ; < GI1 1 I Gb 1 3 ; 3 b 3 <= 1 3= 1 I 1 < 1 3= rlk/s <3.
Lds. S`i.
<;.
L plrtjcie js executjdb executjdb sjgpie olrg`djc g`tj`d (SOG) `h lgpijtuke L, li`db toe t oe x-lxjs, x-lxjs, la`ut x 7 =. Roed jts p`tedtjli Ederby (]E) equlis njdetjc ederby (NE), toe p`sjtj`d `h toe plrtjcie wjii ae 6 ,k k.n x-v{n ko hd'nn esl , x 7 = ks injs{n vn>ne L is ifyvn`rV xhr kf fbn bS L tc ai k.n ko hIHnhrt ÅtnV rHnn xhrt ÅtnV ks enu cfncf cfncf bSlW rns k.n ko hIHnhr bnsxo 6 L L L (<) (1) (3) L (;) 1 1 1 1 (;)
N.E. 7 ].E. < < N(L1 – x1) 7 nx1 1 1 1 1 1 L – x 7 x L x7¼ 1 [oe p`sjtj`d c`-`rkjdltes `h l plrtjcie g`vjdb jd l 3-K c``rkjdlte systeg js bjved ay x 7 l c`st y 7 l sjdt ldk z 7 lt [oe speek `h toe plrtjcie js 6
,k h7nh`eo> hudsV'nnlk hukn> esesl xhr'noy ,k k.n ks hIHnhr huds 'nnl V k huEu bSl 6 ay
t
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| FEE GLJD-1=<: | KL[E 6 =:-=<-1=<: =:-=<-1 =<: (SOJH[-1) | ]OZSJCS <5.
[oe glbdetjc hjiek lss`cjltek wjto l ijbot wlve js bjved, lt toe `rjbjd, ay A 7 A = ^sjd(3.<; Ò <=2)ct + sjd (8.1? Ò <=2)ctW. Jh tojs ijbot hliis `d l sijver plte olvjdb l w`rn hudctj`d `h ;.2 eX, wolt wjii ae toe glxjgug njdetjc ederby `h toe po`t` eiectr`ds 0 (c 7 3 Ò <=? gs –<, o 7 8.8 Ò <= –3; F-s)
ewyhcUdq jf ,k jzkn'no> rflx ks ilxr pqEcko> {ns7n huEu bS % >hd >b jzkn'n ,k pnRdo ko Jys XW htikn kn>V \yu ;.2 eX bSW A 7 A= ^sjd(3.<; Ò <=2)ct + sjd (8.1? Ò <=2)ctW >hd jf jG+rn bS rns aiis gQihtVr \nsXnsayS XªnRunsl ko vh/nkre~ xhrt ÅtnV K>n bns bnsxo 0 hd>n bS %c 7 3 Ò <=? gs –<, o 7 8.8 Ò <= –3; F-s) ( (<) 8.?1 eX Lds. S`i.
<8.
(1) <1.5 eX
(3) 2.21 eX
(;) ?.51 eX
(3)
A 7 A=^sjd (3.<; Ò <=2ct) + sjd (8.1? Ò <=2 ct)W. 7 1 Ò <=2 Ò 3 Ò <=? 7 1h h 7 3 Ò <=<5 Oz C 7 <===Å h <1;== E eX <1.;eX <=== N glx E 7 <1.; – ;.2 7 2.2 eX L glss `h <= nb js suspedkek vertjcliiy ay l r`pe h`rg toe t oe r``h. Roed l o`rjz`dtli h`rce js lppijek `d toe r`pe lt s`ge p`jdt, toe r`pe kevjltek lt ld ldbie `h ;5¶ lt toe r``h p`jdt. Jh toe suspedkek glss js lt equjijarjug, toe glbdjtuke `h toe h`rce lppijek js (b 7 <= gs –1) Dr is <= nb ks ,k dz@ >enu kns ,k fIio f Iio is Å/`nV Å/ `nV /nf /nf yXnkn>n x>n bSL fIio ks hkio hcUdq jf ,k {nShrt cy
yxnus is fIio Dr `nys hcUdq jf ;5¶ kns.n is h`phyr bns tnro tn ro bSL >hd yXkn bqvn dz@>enu inE >n`IHnn esl bS rns yxn>s x>s cy kn enu bnsxn 6 hd>n bS % b 7 <= gs –1) ( (<) 1== D Lds. S`i.
(1) <== D
(1) [ ;5½
<=n b
H
(3) <;= D
(;) 2= D
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| FEE GLJD-1=<: | KL[E 6 =:-=<-1=<: =:-=<-1 =<: (SOJH[-1) | ]OZSJCS <2.
[w` p`jdt colrbes q< <=C ldk q1 15 C lre pilcek `d toe x-lxjs lt x 7 < g ldk x 7 ; g respectjveiy. respectjveiy. [oe eiectrjc hjeik (jd X/g) lt l p`jdt y 7 3 g `d y-lxjs js, < : 1 1 tlne ;b : <= Dg C =
dns hcUdq vn`s'nnsl q< <=C rHnn q1 15 C kns x-v{n jf ße'n% x 7 < g rHnn x 7 ; g jf f^nn x>n bSL y-v{n jf hcUdq y 7 3 g jf h`|qr {ns7n kn enu enu (X/g es)l bnsxn 6 < : <=: Dg1C 1 hd> n bS ;b= (<) ?<ˈj ?< fˈ <= 1 Lds. S`i.
(1) ?<ˈj ?< fˈ <= 1
(3) 83 ˈj 12 fˈ <= 1 (;) 83 ˈj 12 fˈ <= 1
(;)
E
<= 3
x7<
x7;
Eiectrjc Eiectrjc hjeik kue t` colrbe colrbe <=C <=C vn`s 'n ks knf.n h`|qr {ns7n : <=: <= <= 8 < : <= : <= <= 8 3 ˈj <= <= <= <= Eiectrjc hjeik kue t` colrbe –15C
E<
–15C vn`s'n ks knf.n h`|qr {ns7n 3
E
x7=
x7;
E1 E c`s ˈj E sjd ˈf
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| FEE GLJD-1=<: | KL[E 6 =:-=<-1=<: =:-=<-1 =<: (SOJH[-1) | ]OZSJCS .
Lds. S`i.
L serjes LC cjrcujt c`dtljdjdb ld jdkuct`r (1= gO), l clplcjt`r c lplcjt`r (<1= H) ldk l resjst`r (8=) js krjved 1; X ay ld LC s`urce `h . [oe ederby kjssjpltek jd toe cjrcujt jd 8= s js 6 5= Oz ,k Fs.noc) jzQ>n`roV jhfjHn esl ,k jzsfk (1= gO), ,k ,k il/nnhf7n (<1= H) rHnn ,k jzhrfns/n (8=) yxs bSl vnSf >b ,k 1; X/ 5= Oz ks jzQ>n`roV I7nnsr is pnhyr bSl 8= s ie> esl {nh>r ÅtnV kn enu enu bnsxn 6 3 1 1 (<) 3.3: Ò <= F (1) 5.85 Ò <= F (3) 5.<2 Ò <= F (;) 1.18 Ò <=3 F (3)
7 1h 7 <== _I 7 I 7 8.1? < 15= 7 3 C _ 7 _C – _I 7 1=.15 _C 7
V 7 Q 1 _1 Jrgs 7 Xrgs / V 1 Ederby kjssjpltek 7 jrgs Q t ,
< t 7 8= sec 7 3===[ [ =.=1s h
7 5.<2 Ò <=1 F <:.
[oe ederby requjrek t` tlne l slteiijte t` l oejbot 'o' la`ve Elrto surhlce (rlkjus `r Elrto 7 8.; Ò <=3 ng) js E< ldk njdetjc ederby requjrek h`r toe slteiijte t` ae jd l cjrcuilr `rajt lt tojs oejbot js E 1. [oe vliue `h o h`r wojco E< ldk E1 lre equli js 6 ,k gjxzb kns jm jmH`o ko irb is ÅRpnaV o rk ynus esl E< ÅtnV yxro bS rHnn ai gjxzb kns ai ÅRpnaV ko `mÚnnknf
k{nn esl f^nus ks hy, E1 ÅtnV ko vn`'>krn bnsro bSL 'o' kn kn `b enuW htiks hy, E< rHnn E1 cfncf bSWl bnsxnl ( hd>n ( bS 7 7 8.; Ò <=3 ng) 6
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| FEE GLJD-1=<: | KL[E 6 =:-=<-1=<: =:-=<-1 =<: (SOJH[-1) | ]OZSJCS 1=.
[oe pjtco ldk toe dugaer `h kjvjsj`ds, `d toe cjrcuilr sclie, h`r l bjved screw blube lre =.5 gg ldk <== respectjveiy. Roed toe screw blube js huiiy tjbotedek wjto`ut ldy `afect, toe zer` `h jts cjrcuilr sclie ijes 3 kjvjsj`ds aei`w toe geld ijde. [oe relkjdbs `h toe gljd sclie ldk toe cjrcuilr sclie, h`r l tojd soeet lre 5.5 gg ldk ;? respectjveiy, toe tojcndess `h tojs soeet js 6 ,k jspenjo ko hjp rHnn `mÚno> jSenus jS enus jf Onnxnsl ko il^>n ße'n% =.5 gg rHnn <== bSL tc jspenjo kns hcun hkio
`Irq ks jwfo rfb ki hd>n tnrn bSW rns aiks `mÚno> jSenus kn 'nwU> e/> fs^nn is rou Onnx uops vnrn bSL ,k jryo pndf ko ensXnaV ks hy, ai jspenjo ks eq^> jS enus rHnn `mÚno> jSensu kn jnA~>nlkW ße'n% 5.5 gg rHnn ;? bSLl rns pndf ko ensXnaV bnsxo 6 (<) 5.2;= gg Lds. S`i.
1<.
Lds. S`i.
(1) 5.:5= gg
(3) 5.215 gg
(;) 5.255 gg
(;)
]jtco 7 =.5 gg =.5 I.C. 7 gg <== Lctuli vliue 7 5.5 gg+ (;? + 3) Ò 5 Ò <= –3 gg 7 5.255 gg L plrtjcie olvjdb toe slge colrbe ls `h eiectr`d g`ves jd l cjrcuilr plto `h rlkjus =.5 cg udker toe t oe jdhiuedce `h glbdetjc hjiek `h =.5 [. Jh ld eiectrjc hjeik `h <== X/g glnes jt t` g`ve jd l strljbot plto, toed toe glss `h toe plrtjcie js (Bjved colrbe `h eiectr`d 7 <.8 Ò <= –<: C) ,k k.nW htikn v n`s'n ayS KXªnRu ks vn`s vn `s'n ks ienu ienu bSlW =.5 [ pqEcko> {ns7n esl ,k =.5 cg h7n[>n ks `mÚnnknf nn knf jHn jf pyrn bSL >hd <== X/g kn h`|qr {ns7n yxnus jf >b k.n ,k io/no fs^nn esl pyrn bSlW rns k.n kn dz@>enu bnsxn bS aysKXªnRu kn kn vn`s'n 7 <.8 Ò <= –<: C) 6 hd>n ( (<) 1.= Ò <= –1; nb (1) <.8 Ò <= –12 nb (3) :.< Ò <= –3< nb (;) <.8 Ò <= –<: nb (<)
qE 7 qXA ........(<) gX &r7 ........(1) qA hr`g (<) & (1) 6
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| FEE GLJD-1=<: | KL[E 6 =:-=<-1=<: =:-=<-1 =<: (SOJH[-1) | ]OZSJCS 13.
QA `h Q L toejr lctjvjtjes lhter tjge t jtseih keclys wjto tjge t ls e –3t. Jh toe t oe olih-ijhe `h L js d1, toe olih-ijhe `h A js 6 hd>s x>s ,k {n.nW t 7 = jf dns fshG>ns/neoV jdnHnnsVW L rHnn A, ko ko ihß>rn cfncf bSl ie> t ks J'pnr~W auko ihß>rn Lt l bjved jdstldt, sly t 7 =, tw` rlkj`lctjve suastldces suastldces L ldk A olve equli lctjvjtjes. [oe rltj`
kn vuqjnr (<)
d1
;
Lds.
(<)
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L 7 D
QA ie> t ks inHn e –3t ks vuqinf 0nXrn 0nXrn bSL >hd L ko v/nVvn>q vn>q d1 bSW rns A ko v/nVvn>q bnsxo 6 Q L
(1) 1d1
Jdjtjliiy jznfEOn esl D D 7 D= L L 7 LA
L D= L AD=A ([ 1 ) L d ( 1)
d ( 1)
L
d (1)
L
L 7 <
ie> jf lt tjge t ie> L
3t
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(3) ;d1
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d1
1
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| FEE GLJD-1=<: | KL[E 6 =:-=<-1=<: =:-=<-1 =<: (SOJH[-1) | ]OZSJCS S`i.
^tW 7 ^BWl ^oW< ^cWk ^['W 7 ^G –< I3 [ –1Wl ^G< I1 [ – k 7 – 1 1
<
<
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15.
5 1
L gusjcjld usjdb ld `ped hiute `h iedbto 5= cg pr`kuces sec`dk olrg`djc s`udk wlves. L pers`d ruds t`wlrks toe gusjcjld hr`g ld`toer edk `h l olii lt l speek `h <= ng/o. Jh toe wlve speek js 33= g/s, toe hrequedcy oelrk ay toe ruddjdb pers`d solii ae ci`se t` 6 / `hu rflxsl gQjuu kfrn bSL ,k @>hKr 5= cg yEcnaV ko ^nqys hifs ko ,k cnRiqfo is ,k ilxorN h}ro> iUundo /`hu k{n ks dwifs hifs is ilxorN ko rf\ <= ng/o ko xhr is dnSG+rn bSL >hd /`hu ko xhr 33= g/s bS rns dnSG+rs bq>s @>hKr }nfn iquo x>o vn`mhÚn kn kn ihUukX enu bnsxn 6 (<) 333 Oz (1) 253 Oz (3) 888 Oz (;) 5== Oz
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| FEE GLJD-1=<: | KL[E 6 =:-=<-1=<: =:-=<-1 =<: (SOJH[-1) | ]OZSJCS \
S`i.
Q
kq ; r kr(r) 1
=
=
Q
\7
L ; r 1 1 r
=
e
1r l kr
1r l l \ 7 ;L e 1
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=
1Q \ 7 1lL e l < \ < e 1lL 1Q l
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<
1Q < d \ l < 1 lL
l < Q d 1 < \ 1lL
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| FEE GLJD-1=<: | KL[E 6 =:-=<-1=<: =:-=<-1 =<: (SOJH[-1) | ]OZSJCS S`i.
C3 I/1
C<
k/1 C1
C;
L N< = N L 1 < = C< 7 k k 1 N L C1 7 1 = k N L C3 7 3 = k N L
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| FEE GLJD-1=<: | KL[E 6 =:-=<-1=<: =:-=<-1 =<: (SOJH[-1) | ]OZSJCS 1:.
Be ldk Sj kj`kes stlrt c`dkuctjdb c`dkuctjdb lt =.3 X ldk =.2 =.2 X respectjveiy. Jd toe h`ii`wjdb hjbure jh Be kj`ke c`ddectj`d lre reversek, toe vliue `h X= coldbes ay 6 (lssuge tolt toe Be kj`ke ols ilrbe arelnk`wd v`itlbe) tnrs bSL hd>s x>s hp7n esl Be Gn>nsG ks hifnsl kns Be rHnn Sj ks Gn>ns GW ße'n% =.3 X rHnn =.2 X jf iqpnyk bns tnrs jyX hd>n tn>s rns h`On` X= esl jhf`rVu kn enu bnsxn 6 enu (enu ysl hk Be Gn>nsG ko Onltu `nsZXrn vQ>h/nk vQ>h/nk bSL ) Be X=
<1 X
(<) =.8 X Lds. S`i.
(3)
(1) =.1 X
H`r so`wd clse X= 7 <1 – =.3 7 <<.2
Sj
(3) =.; X
(;) =.? X
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