-
4. OTITMKA
1. n plIMjepH nojl:lse KOj H nOTBp1)yjy npOBOJl lIHHjO;:O
Kper8a.e co" ITJIOCTH cy: nponYWT8J-be csjerJIOCTH KpOJ ryMCHO
l\pHjeso (aKo HHje :CKpUBJbeHO onmK8 ce cBjeTJJOCT 1f3BOPfi ROj" ce
Hana3H H8 cyrrpOTHOM :pajy 1(pRjeso): cjeHo II aOJIYcjeHK8
ocBHjeTJbemtx THjeJIa cy T8.Rot)e, OCJbe.1.UllI:e npoBomuUfjCtmr
npOCTHpaFb8 csjCTJIOCTIJ. AKa nponyl.'TH1o'lO sjeTJIOCT "'p03 yJ8He
OTBope H8 38.l\JlOHItMa onaJHheMO cBjeTJIOCT COMO 1
-
--- --- -- --- ----
74 OnTK!
-
I 77 O nTHKA.
11. a) l\lopnap fI[\ fl OJJ)l lOp llH H I1 Kojn rnen,8. "P03
nl'p"CKOn BI1 JUI ~mnnlR.pfln ImK OpOAn.
A
D
I f/ D ) ' 6po,1 m1l( 6po;ail~ D+L >
G) JIm.: Gpo.na jt' \,('lIpana ll "" IL("OUa. lU'll114llH8 je
HeTtt KaO 11 BeH14U1I8 npe.aMl'lit
1.1 ) n O,10Autj 1l1llHI Gpo.ua jf' IIplnauan U8 e.'1HUI1. 18. A
Ko Cl' n))t')l.\ll'T lIallaH! ," ft;.11i'hli In.n,vOJLt' HOr
OrJlCJllln8. CBJPrnonm~p,Ul" h(' noc.'llljl' O1l.6~ljatLa Oll.
nonprUirne OrJl('Jl.8)H\. Ul1Tl! osp tW I '.'llHl nn tw c(' 11111\
IlIUla3HTU V .. Uc>Cl\OUa4I1ocTH" .
19. :y P(>TPUOluopy aYT\}~!lI(iHlla ('~ KOP l1 CTf' Hcny
n'it>HiI orJ1~)l.Olla l\ojH ('.1Y*,(' BOJ1\4)' Act EHi~
npt'Jl,\I('T(' In aYTo~106Hna. 3601'" Cmt4.HHX p lU.1l1ra
IH"nyn4('lIa ur.lt'..'li\lla I..'y nl'C'TaB."L(>Ha. an OWTPHM
OK~KaMA. H 1H1 3
-
79 OnTIlk:[\
27. lIaTI'I n01I.aU~I: P =erona >KH.>KI18 .a,8JLl1UIl:
f =:. 2",- : f = II cm. a) YJ1.' M\0 .na ce Hana3C Ita Ml;I.lbOj
A.y6UHH u.a, ('Tail!>uC 360(' npenllMOa.8. eaj cTJlocTH ua
rpaHHIl,Il H3Mel)y ao)].(' U Ba.JJJ;.\'xa(Ka.na cBjeTJlOC Ern 3pnK
np('JlI\.3H 113 no)].e y Ua3~'X ynnAnH .\"rno je Ben H 0)1
npeJlOMHor).
32. ITojaBa TOT8n.Re peneKCuje R8CT8.je KRJl,8 csjeTnOCT
rrpenU;}H H3 OIlTH'lKH rymhe y OIlTH"tKH pjet)y cpewmY H KB.Q.a je
ynll,!{HU yrao BehH OJl. rpUHH'tHor.
OnTUK3
33. llojus8 1'OT8mle p e
-
OUTIIKll
je PfI('TOjfllLe 1II11\l\ rny~IlU\ o.l111('IlTpn Ca611pHOr
C04U8a yrpnl}cHor tuUlep~': l~~' 75,2 nun,p-I" .HIIl'11I H1 !) Y{Wh
y.n Jt.('1I0CT .'lItt-\(-\. np('AMCTIl. nOC'Jlllj(' npC'Jw:-laJ-La
'KPO:} DplJO CO'Ut BO 0.'\ a OnT1t4t-\or IlC'!lTpa npnor
C04IHW:
I'd,/t= J. 11 =Wcm. PI - I
P acTojAlLl' Jl II I(I\ npCllMCTa 0)1 onTHllKor UC'HTpa .l1pyror
('ol\Hna, Hf\CTfl-Jlor nU('1Il--1jl' IlP(,'JHlMcULHI: .. I L :.r'
== P : J
Iii p~.l:
1== PII: I = 100 Clll; / = 1 Ill .
-
Qnn!J(R
49. llaTH no,no..IH1: WI = 2D ; 1,0.12 = 3D; W3 = 5D.
OnTl1Uljes,'H. ,!{OK cC' 8.TOMCKII 6poj nosenasa Ja jeAaH. 3anpaBo.
npHJlI1Kmi J-paCrIM8. t-IC'YTPOU ('C' paCna,l18 Ha npOTOH. eneKTpOH
11 jom je.zmy ~ecTHQ.,V Koja ('(> Ha311S8 I\HTHHe,vTpHBO.
9. ilep"oJl lloJl~'pacnana je spHjcMe KOjC npol}e ,l10h: ce opoj
pa.!lH08h'THBHI1X je3.apa y "eKO~1 y30pK)' Ite CMaIL" 3&
jellJ-lY n0110B""Y Y OJtllOCy Hn n04eTnl1 Tpea)'T8K.
10. HYKJJeapSa 4l"CHja je l.1,HjeOatbe je3.pa OP" .KojeM uacTajy
llBa naJ-;wa j C3rpa 11 oCllo6a1ja cc BCJ1HKa. I\OJlli"lHU8
eBep'Hje. Y opOU'('liMa Hy,uwapHe 4lY3Hje JIaKa je3f'pa lopMHpajy
HOBO TCme j C3rpo y 3 OC1106aljalLc nenKKe KOJlH"IHHC eap'Hje.
IIpou.ecH ly3Hje )lemaoajy ce Y yUyTpawlhoCTH 3BHje3na n 110..
CYImY.
-
84 85 ~"Jnh.n MUKpnUttI!HU, HII.lI,,\'CTPHJH H
lIuJL(mpI1DI){')Ul CDMIUrut\VI Ba. H.H M it
13, I l pillC'aptiH OTnfl.n ' ..HUf(' npo..:tYKnl npeocT1VH1
HaKOIf !T811 .... UJlt' 1)f'aKUHj(' 4lVl(,lljP. 0" r n.apiKH. y
3lUl.... ajuoj MJepH pa.l[I-tOIU(TIIJDR(, 1"11('M('HTf' KOj~l
CM"'".\jy mTt''TIlO JOIl'" H'J.vhe 3pal,lefb(>. n.a 6H("MO ('C
3llWTHTHllH 0}1 pa.lU10ilKTHBllor OTnn)la, IJII (:(> O,llllWf{e
.y cl1cUVljal1Ho onp('"','bI'II.'" r,.... pUA h.tJja (\. (;1\
lI.l.Ll.ltWl"(' 11:TPOH1l., 27 "P01'OU6 H ;i:lw'.\"Tpllna,
lB. k:uPHl'Tf-"fll-! .... I-lILl:'mIU..\ 1la ('(, npHllHKUM
rt-p8.cna1l
-
4. OIIT1fKA
1. npilMJepu " ojnse KOJI1 I1OTBpl)yjy npasoJIIIHlljcKo
KpeT8l-he CD" 0CTl1 cy: nponYUIT8tbC CBjeTJIOCTH Kpo3 ryMeHo
l.ij)lijeso (axa H11.je )HBJbeHO on8m:8 CC csjerlIOCT M3S0pa Iwj u
ce HanS3l! ua CyrrpOTHOMIY ll,pnjesa): cjeHR II nOJl)'cjeHH8
ocsHjeTJbeHffX TnjeJl8 cy TaKO~e, b e;UIue rrpasoJIlIHujCKOf'
npOC'nrp8fba cajeTJlOCTH . . Au
-
75 74 OnTHK8
11 . 11aTH 1l0.D.aun: P = 0,:3 m; p = 0,2 m.
----- -----..-. -- ---:.
d Lp
(p
PacrojlllLe l'pa:..t\(HO Y 3A..D.a.TKY j(' H8 C'm1UH
oOIllJLt')t(euo en d. npP;l.IIl. nllTnropHHoj Tf'OPCMII JC:
,p = {p + /)2 + p 2: d'l = 4p2 + p'l : d ::= 0.5 m. ,
l2. lin.TH nunRUH. H :; 202 Cillo A" .~ _C.Ha 6 " O.!lGojKalll
.y ornCAany "lOrao .!l3 ..--. 2''----'' .
Dl1}m cBoja cronan8. C'ojerno(,HH 3paK 1 M0pa. ll8 ce on6ujc on
nOlLe 118i1lle orneJlftna 1 npaoo " y OltH" (Olt" e." Hn ('naIlH
o6u.n,eif\e " T" E F He> T8\tJ\OM 0) o.n6ojKaruy. .Ha 6"
on6ojK81U
~. ()rnl::'.Jan~ Morao 1li.l. DHllH (,Duje Tje~u:' eBjc B
~--~-)T!IOClm 3paK 2 Mopa An ce on,,6njE' o,n rOlllLC
IIUIlU
-
77 OUTlum7G
17. n) ivlupHa.p 1m nOJ{MOIHU1llll HOj" r/lt'-J(8.. KpO;'
IICpHcKon BHAH HMafllllnpall .'111\ Gpolt.a.
~
o
() Gpo;t
L nllK 6po.'la
D+L >
G) Jllll\ upu.a,l:l jt ycnpaaall ~I LL{'foalJ. It(>mt41Ull:l
jt? neTa I\ao 11 8\'. JJl.t4mUl npT)'('nmu.I-llcpCRllIlI1M
IpaUlBt8.. ~mjlt ee 3~UlIIIJb('HH npnBUvt nocnHj(' o.o:5Mjall.>a
on t1('n~nKH>Kna ,nan.HHa Ornp.nRna: "I / = 11)9 rllll~p+I'
G) nonynJX'....IDIK t.:PI1.BHUC orJ]c.naJJa jt' : r' ~ 2/:
29,8('111
IJ) JIHttt'apltu \"actlan.c jl':
II - -; /I 0,21. P
26. lInT).! II0.!tIlJIH: d = 9.5 mill; J) = 2 Ill: P = 1.:.1 m.
a) Yl
-
l 79 OI1THI\fI.
27. llaTu nOJ1nU~I . P = I em: I) = 10 em : r = 60 cm.
oJlpl\lllla. jl': I ~ PI , 120 em
p- I nIlHl'ap"ll ~'Bc1H1IlA~ je :
II =-; /I = :~ l'
B I1CIlHa lIHK3 jl' : L urI; L=12cllI
28. Hunt nU.li.\UH: ,. = 22 ('"111: p = 1 t rm . rIolllTo j('
or:ti',nl\JIO H('nyn\.WHO . TO je fberOlla lia cojeTJ1OCTH un
rpanalUI I1JMel)y BOJlC ~I R83J\yxa(f\.1l8 COjCTlIOCItH :Jp af(
npena3H HJ oO.n,c y 883.n,:yX ynaJlHH ~T~\O jc oelhl oJJ.
npc]Jo1otHOr).
32. nojss8 TOT8JLHe peq,.'lCKcMjc H8CTaje K8Jl.8 CBjCTJlOCT
npeJl8311 H3 OIlTH'lliH rywhe Y orrrw.utli pje t)y cpe.o;HHY H
K8Jl.aje yn8.AHH yrno Bchl1 o.n, rpaHlf
-
81 OnnlhA
jc pncTOjrHLe JIIum rnntUlt o.n, U('HT!lfi cn6Hpilor CQ4"Un
yrpal}eIlOl' ii.flMepy: I~ -EL I = 75, '2 mlli .
v-I" 1111{'i.\.PUtl YOf'nalLt' jt:
11=_; u=2. 791O-:\. p ~olHa rnY),lIlf1 lu t ' IHtl1MY jC':L
c:-:: Pu: ;) !lun.
43. llaTH nO..'l;\UII f = 5 em: I' = 'I Cill.
nOWTU ,ir':
1 1
I' I" Jt.' !,c\CTujaIM' nu ...a 1)Jl. Ut'IITpa pat'llOlIOI'
C04UDQ:
I = .J!L.. 2.22 em.
1'+1
44 . ll~\.n! nO!J"lIln : P = 12~ fill 1= 16 elll,.
i+\1I;+;IU\ 11,llJLI1HH cl\(mVllor ('04110a je:
f = L : f II.2'2el)1 . II' +
45. nanl nn.!laUH I = 1. 27 Ill: 1/ == 2.5.
PlIcTojaH,(' um.'Ttl OlI. ('1\6npnur ev'"mun:
p=~: I' 0.508 m-0 'U
rl-\uitma.- AaJLHlUl caonplLor ('0411UH jt..: pi .I ~ --I I ~
0.36 m. p+
46. lhlnt no.,;\1I1f' .fl = 12 =- /:I ("Ill: ,I = 32 em: ]II =
16 CIll . Il u np{'nU~H\lLY h!>V3 IIPOO (,\141180 ('ojCl'110Cml
3PlUU1 cc npl.HU,ld"
J'" i\.plH Jl.p~TU ('O"l Il BO J.1 (p()p~n, paj~ i\.QtIa"lall
]11011-:. OJl.peJl.u,",lo Haj np"j(' ~'.nUJL('HO("r 111lK
Tpo,\'r}Jy COF,. 111\J\,,"l(, " .W, llF, cu, OF,
lIo01To j(' ln = P: D)-] = I : CO = C = L : UF] = f, JWfinjaMo:
(.) f' .'~LI I'PU\'!"i() t:CF2 Cnl1"1iHf j(> Tpo.vrny ODF2
B;,i\..'!!':
EG , 1'; ~ OD , OF, lloWTO JC' E(,' = L: EF~ = ;r' : OD = D. l =
P . O/;~ = / . ..loiil1jt',"lllUllj(' (".) ( '.'llljl'..'lll:
f' f =
D I HI p('.laUlije (~ .. ) c.'lllk.1l;1I
f' f - =. "/" ,r
11ljt'.nUtl4i1 B
-
OnTlffi8
49. .ITaT" n01l8Jl:W WI = 2D; W'2 = 3D; W3 = 5D . OnTM"'-tKa.
MOn nync jc:
w = lODW = w\ +W'2 +W3; u.,>tUIa. llfUbHna. Jlyne je:
1 J = 1Ocm.J = ;;,; 50. llaTH nOJl,auw tiob = SO; tiok = 4.0.
YsC'naJLc MIIIKpOCKoua je:
u = 3200.U = 'Uof,UQk ;
5. lf3lfKA MlfKPOCBlfJETA
1. ATOM je HajMELfL8 "tecnll.{8 xeMliljcKor e1leMCHT8. 1I0h: ce
MoneKyn ('a(,Tojl-1 O.ll .naa 1-1 8mne aTOJ.la.
2 . ATOMCh:O j e3rpo ce cacrojIf Oll npoTOUa. 11 lIeyTpOu8. 3. H
YKneapna CHna Ollp>tKH, 1l0K
je M8CCHH 6poj yKylIErn 6poj HYKneORa'y je3rpy. CIa. npHMjep,
aTOM KH ('{,,"OH.H.Ka 80 16 C8llP>lOl 8 opOTORa Ii 16 KyK1leoHa
(opoTOua III ueYTpoHa) 1\ ".\Ia pcmH1. 5poj 8, a M8.CeHH 6poj
16.
5. H)'"Kneapuc CHne ce He 38D(l)t{8jy y 05H"1HOM )to-fOOTY 3aTO
roTC je .!lOMer lbH.XOBOr ,.!JjeJlOBaba eeoJ.Ja 1II8JlIiI III
1-1380CI-1." OKO to-Hi lU .
6. ITPHPOll;l:l8 pallH08KTIIIBltOCT 3anruKa ce KOA ypaua III
l'OpHj:YMa 1\ eJleMeU8Ta KOjl-1 u8cTajy IMfxoalfM pa.cn8lloM
(.lIa.l\Jle , KO.ll xeMHjcKHx ('J1eMenara h:OjH cy ua "pajy
nepHO.ltHOr CHCTeM8 eneMeuaTa) .
7 . ITPHJlHl\OM QpacnMa aTOMCKl1 6poj ce cM8lLyje:m Ma, .lIOK ce
Ma('eml 6poj CM8J-byje 38 "IeTMpH.
8. npnJlHKOM J-pacoa.na MaCeHM 6poj oCTaje uenp0f,mjeJ-beH .
.lIOl\ cc
-
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z ~ 0 .
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o 3
c..
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+
+ +
+ +
+
. :
,.
=
=
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-'"
" ;;
= ~
.: -
r-:...,
"!~'.
~ '. .
~.
.' :... ..
=
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