10th science tamil-3
TRANSCRIPT
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msLfUf
myF
14aa
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aa
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gl 14.1.
S2 S1 clwcnyhfcUiscUistotjiy
ghJfhgrlmik
jiynfh
tiunfhL
Utotrl nfh
mogil mayhd aa,aif kW aif ffissFwJ. J msjagL
ma MF. vdnt aabghUfis mswJ. aavj xU jJtK cW nehakW msjagl ffSlxJnghf ntL. aayhfL ofgl gntW msjfUfS, msit KiwfS kwmafSF,rKjhaF
aafbgabfhilvdyh.mjifa bfhil UF ms
xUmsjfUahF.
14.1.UFms
fa bghUfgkhzfis 0.001 br.. msF
Jakhf msf gagL fUUFmsMF.
UF ms U totcnyhfrl csJ. ( gl 14.1 ).
rl xU w clw XcnyhfcUisbghUjgLsJ.
cUis cw fbrJfgoUF. D UFxWaFwJ.
cUis nkw, U
mRFizahflmsfFfgl msnfh csJ. JnfhvdgL.
U jiygFnahL clwcUisbahW izfgLsJ.mj Fj Kid 100 fshffgLsJ. J jiynfhvdgL.
U kWKid rkjskhf csJ(S
1) mjF ne v, mj guF
izahf F ( S2) xW csJ.
U jiy gF cs grl
mik, UF msF mfkhfUfgLtijjLwJ.
UFmsjJt
UF ms UF jJtmogil ntiy brwJ. xU
iyahd kiuF aF UifRWnghJ, mj Kid Kndh
efU bjhiy Rwgl RWfvifFnejfUF.
ilu
xU KG RWF U KidefU bjhiy, U mLjLjfSilna cs bjhiyFrk.JiluvdgL.
14.msLfUf
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myF-14
msLfUf
gl 14.2.
RiHVJiy
UFmsws
U jiygF, jiynfhxU msF RwgLnghJ,U Kid efU u, UFmswsMF.
nfhUFefj
bjhiy
jiynfhRaRWfvif
ilu=---------------------
UFmsRiH
UF Kid rkjsguvnus F rkjs gu
iznghJ jiynfhR, nfh tiunfhLl
izjh RiH VJiy(gl14.2).
ilu
jiynfhf
vif
ws = ---------------------
neiH
FnHhL U KidiznghJ, jiynfh R nfh tiunfhLF
mikjh iH neiHvdgL jiynfh n-MtJ nfhtiunfhLlizjhiHneiHMF(gl14.3).
gl 14.3.Z.E. = +(n x L.C.),
RUj
Z.C. = -(n x L.C.)
viH
FnHhL U Kid iznghJ jiy nfh R nfh tiunfhLF nk
mikjh iH viH vdgL.jiynfh n-MtJ nfhtiunfhLlizjhiHviHMF(gl14.4).
gl 14.4.
Z.E. = - (100 n) x L.C.
RUj
Z.C. = +(100 n) x L.C.
neiH
viH
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UFmsiagagLbkaflfhz
Kj UF ms il uij, wsit fLof
ntL. RiH, RUjij fzl ntL. UF ms U
rkjsgufSF ilna bka fia itf ntL. grl mikcjahUifU,ewhffiagbfhSkhWbrantL.
nfh fhL msit, (P.S.R) nfh tiunfhLl izjiynfhmsit(H.S.C.) FJbfhsntL.
fl=P.S.R. + (H.S.C. x L.C.) Z.C.
fbtntWgFfisUFmsrkjsgufSilnaitJnrhjidia Ug bra. msLfis mltizgLj. filflmikmsfruhrflkhF.
t. v.nfhms
P.S.R.mm
jiynfhxH.S.C.
H.S.C. XL.C.mm
bkhjmsP.S.R. + (H.S.C. xL.C.) Z.C.mm
1.
2.
3.
ruhr
14.2flbjhiyfismsj
UJ y myJ nfhx bjhiy nghw lbjhiyfis fzl, wKiwf gwgLwd. nuonah
vbuh Kiw nyr Jo KiwlkhW njhwKiw nghwit fl bjhiyfis fzlgagLwd. mjifa lbjhiyfis msf, tha myFkW x ML nghw myFfgagLwd.
thamyF: ikaUJNa ika tiu cs ruhrbjhiythamyFvdgL.
1thamyF(AU)=1.496x 1011m
x ML : xahdJ, btlXMobryToabjhiyxMLvdgL.
xU Mo btl xfljbjhiy=xirntf x1ML
~1xML= 3 x 108ms-1 x1ML(behof)
= 3 x 108 x 365.25 x 24 x 60 x 60
= 9.467 x 1015m
jfhyyfKiw(digital)UFms bfhL msLf vjhf
cldoahfnkbfhsgLwd.
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myF-14
msLfUf
kL
gF-m
1.________________ tiu gkhzKs bghUf gkhzfis msf UF
msgagLjgLwJ.(0.1 cm., 0.01 cm., 0.1 mm., 0.01 mm.)
2.UFmsjiynfhRnfhtiunfhoFmikwJ.vRiH________________
(neF,vF,iy)
3.UFms________________lijmsfgagLwJ.
(flghiu,bkaf,bfgJ)
4.xUxMLvgJ________________MF.
(365.25 x 24 x 60 x 60 x 3 x 108 m , 1 x 24 x 60 x 60 x 3 x 08 m ,
360 x 24 x 60 x 60 x 3 x 108 m )
5.tha myF vgJ ikaF ________________ ikaFilglruhrbjhiy.
(yh,Na,brth)
gF-M
1.fhQTWfcsjtWfisrbrf.
m) tha bjhiy vgJ guF, Na guF ilglruhrbjhiyMF.
M)xMLvgJlF3 x 108mntfxahdJxUMogazbrbjhiyMF.
2. AbjhFiaBbjhFnahLbghUJf.
t.v bjhF-A bjhF-B
1. agkhzf nyhl
2. bgagkhzf UFms
3. mfbjhiy msnfh
4. abjhiy xmL
Mo-l
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3.nfhollfisuf.
flbjhiyfismsfgagLwKiwf_________,_________MF.
(nyrJoKiw,xMLKiw,nuonah-vbuhKiw,thaKiw)4.wsitvgJ UF msnahL bjhlila Ka fUJMF.UFmswsitvgjbghUisczJf.
5.UFmsglfhQghffisFf.
m)jiynfhM)nfh)mR
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iraffS
myF
15aa
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gl15.1
15.iraffS:
X iy cs xU bghUisaf bra, af csxU bghUis X iyF bfhL
tu ekJ Ka njitgLtijmwhl th eh fhnwh. xUbghUiyiakhwbghJthfehmijjSnwh,GnwhmyJcijnwh.
irahdJ bghUfis jSjGj myJ cijj tmogilyhdJ. iriaghfnth,Ufnth ayhJ. ekh irisit kL fhz myJ czuKo. xU bghU J irbragL clhF ismogiljh iria sf
aY. jSj, Gj kWcijj Ma braghLf_y xU bghU J iriabrYJnghJ bghU aFwJ.vdnt,xUbghUXiyianahmyJ af iyianah khWwmyJkhwKawbrairvdgL.irxUbtlms.mjS.ImyFl.
15.1.rkkhdkWrkkwirf
gl 15.1 xU fd brtfkufil ilkl nkir JitfgLsJ. kufil vKff X kW Y vd uL
fflgLsd.
X GfgLnghJ filtygfkhf efU. mnj ngh Y GfgLnghJ lgfkhf
efU.filJUwKrkGirbfhLfgLnghJ, virY
efuhk rkiy UF. thWxU bghU J bragL irfbghU X iyianah myJ
af iyianah khwhk UjhmirfrkkhdirfvdgL.
rkkw U irf kufilJbragLtjhf fUJnth. kufilmfirirefU.btntWv kbfhl UirfbjhFga,xUbghUnkbragLmjid afbrkhdh, mUirfSrkkwirfvdgL.
tU vLJfhL rkkhdkW rkkw irfis bjthf
sFwJ. y xU bgoiabrhubrhughd jiu js Kabrwhf. xUt kL bgoiajSnghJ bgo efuiy(gl 15.2.(a)). cuh ir jSir irF virbragLwJ. jiu kW bgoguF ilna bragL cuhir jS iria rk brtjhbgoefuiy.
(a)
(b)
(c)
gl15.2
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myF-15
iraffS
Ut bgoia jSnghJbgoefuiy.(gl15.2.(b)) Vbdcuh ir jS iria rkbrwJ. _t f mf Kal
jSnghJ jS ir, cuhiria l mfkhf UF.
UrkkwirfbjhFgairbgoefU(gl15.2.(c)).
15.2affhdKj
fnah rhjs bghUfafijMbrjh.bghUfJirbraglhjtiumitkhwhjntfaFtjhfTdh.
fnah ir kW afga fUJfis l MuhJbghUf af ga _Wfis btlh. mit l
affvdgLwd.
l Kjgo rkkwwirbahW bragL khWtiu vj xU bghUS jdJ X
iyianah myJ xnu nenfhomikj uhd af iyianahkh bfhshk bjhlJ mnj
iy UF. j _y vyhbghUfS jkJ af iyVgL khwij vF jik
cilaitvdbfhsyh.wirfbraglhj iy X iycs bghU xW bjhlJ X
iyYafiycsbghUxWbjhlJuhdafiyY
UF. bghJthf bghU giykvdgL.vdnt,lKjiaiykvnwh.
bga : fnahw :15.02.1564wjl : nul,jhkiw : 8.01.1642w : thaMaakW fj
fh gaz brnghJ ekFVgL mDgtij iyk iabfhL sfyh. XLe fhiu
Wj jilia(brake)brYJtiu
eh e UifnahL XiyUnwh. jilia brYJnghJfh Obud X iyia milwJ.MdhehbjhlJafUfKanwh. vdnt, KndhGnwh. Obud jiliabrYJnghJekFfhaTlVglthcsJ.
jF khwhf Obud afMuF ngUJ x W
bfhoUgt ndh Gwh.ngUJ Obud aFnghJgafhyongUJlKndh
aFwJ.MdhclwgFfX iy Uf KagjhgandhGwh.
kGJ (car) xW mfntfFWa tis UnghJ ehxU gfkhf rhnwh. jfhdfhuz iyk _y bgwgLwJ.
fhJmjafiriakhWtif v rk braglhjiriabrYJnghJehbjhlJnenfho af Kagnj
jF fhuz. fhQ bra_yK bghUf iyk gigsfyh.
gl15.3csthWxnukhahd
nfufhfisgyifmLf.
bra15.1
gl15.3
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kbwhU nfu fhia bfhLmLfgLs fhf mogF ilklkhf mof.moF tik nghJkhdjhFnghJmoYs nfu fh ntfkhf
efwJ. kw fhf iykfhuzkhfbrFjhfnfugyifJGtijfhzyh.
15.3iykkWiw
nkny bfhLfgLs vLJ
fhLfS brafS, bghUfmtDila af iyVgL khwij vgij eFczJwd. X iy csbghUfbjhlJXynyna
Uf, af iyYsbghUfbjhlJafiynyna
Uf Kawd. bghUg iyk vdgL. vdnt,xU bghU jirahf jhnd
jdJ x iyianah myJ xnunenfho mikj uhd af
iyianah kh bfhs ayhjjikiykvdtiuaWfgL.
xU bghU iykgg mjiwia rhjJ. eh xU fhgijcijjhmJfntfkhfefU.mnjirl xU fiy cijjh f
efuhJ. khwhf fh fha clhF.
xU a jS toF mf ntfjU irah xU bjhl toiaefj KoahJ. Vbd jStoialbjhltoiykmf. bghU iyk mj
iwdhmslgLwJ.
15.4cj
ekJ mwhl th fG
y ffis fUJnth. nlbl gJ isahL u Jglh mtUF fha VglhJ. mnjneu ntfkhf brY bf
gJ ghitahs J glh gyjfha VgL. f fdkhd outorhiy Xu FnghJ vjgh iy. Mdh mj tobkJthf brYnghJ xUt Jnkhdh mt wJ Lth. xUbghU VgLJ jhf mj
iwia ir ntfij rhjJvd mayh. vdnt, xU bghU
iw ir ntfK izJ
cUthFKaaamscjvd ldh mKfgLjglJ.xU bghU iw(m) kW mjirntf(v)MatbgUfgycjvdgL.
p = mv
cjF v k, ircL.JxUbtlms.cjir, ir ntf irnynamik.mjmyFkg m s-1.
15.5affhdulh
fy gGjilj xU fhvid af 1 -1 ntfnjitgLtjhf bfhnth. xUtmyJ Ut fhiu nenfhoObud j (rkkw ir) 1 -1ntfijbfhLjhvafhJ.Mdh bjhlJ j fhUFgogoahfKLfbfhLFnghJfh
1 -1 ntf bgW v afbjhlFwJ. fh Vgl cjkhwiriakLrhuhkmJbragL neuij rhUgijmnwh. vdnt, xU bghUVgL cjkhwfhd ir, cjkhw fj fhy jij rhJmikwJvdyh.
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myF-15
iraffS
l ulh afgo cj khWghLj rkkwirF nejf miktnjhLmirirnynamik.
m iw bfhl bghU ubjhlf irntf nenfho
aFtjhf fUJnth. mjJF vw khwhj ir bragL uhfKLfkilJ t dhof v vw
WirntfijmilwJvf.
bghUbjhlfcj =mu
bghUWcj = mv
bghUVglcjkhWghL=mv mu
= m(v u) ---------- (1)
cjkhWghLj=cjkhWghL
fhy
cjkhWghLj=m(v u)
t
-- (2)
vdntbragLirF =m(v u)
t
lulhgoJirna.
MdhKLfa =
(a - irntfkhWghLj)
v-u
t
~ F ma
F = kma ------- (3)F k-j kh. k - k1-Mf UFkhW ir myFnjbjLfgLwJ.
vdnt,F = ma --------------------------- (4)
irmyF=1kg x 1 ms-2 = 1l
ir myF kg m s-2 myJl.mjFpLN .
xU nyhuh iws xUbghU J 1 -2 KLfijVgLJir1l(1N)MF.
vdnt,lulhafxU bghU J bragL iriamsF Kiwia jUwJ. mjhtJir vgJ bghU iw kWKLftbgUfgyMF.
vLJfhL15.1
10 iws bghU JxU khwhj ir 4 dhofSFbragLwJ. bghU irntf.
2-1
UJ8-1
MfkhWwJvirkigfhf.
bghUiwm =10
bjhlfirntfu =2-1
Wirntfv = 8 -1
irF =
F = = 15 N
m (v-u)
t
10 (8-2)
4
vLJfhL15.2
2 iws bghU J 4ms-2 KLfij VgLJ ir,3 iw J 2 ms-2 KLfijVgLJir.tWvJbgaJ?
ir F = ma
fzgom1=2
a1
= 4 ms-2
m2=3
a2
= 2 ms-2
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~ F1
= m1
a1
= 2 x 4 = 8N
kWF2
= m2
a2
= 3 x 2 = 6N
vdnt, 2 iws bghU
J4ms-2
KLfijVgLJirbgaJ.
Jghjhdafir
gl15.5
15.6affhd_wh
gl 15.4 csthW xwhfizfgl U juhRfisvLJbfhnth.
gl15.4
AB
juhRmikKid BRtiyahfbghUjgLsJ. juhRmikkWKid A-xUiriabrYJnghJ U juhRfS xnumsit fhLwd. UJ AjuhRBjuhJbrYJir BjuhR AjhuhJbrYJir
vzs rkkhf virYUwJ. A juhR B juh JbrYJiridvdgL.BjuhRAjuhJbrYJirvidvdgL.
l _whtJ goxbthU idF mjF rkkhdMdh vir bragLtJkhdX vid cL. id,vidUntWglbghUfJbragLwJ.
Jgh RL nghJ FL mfirl Kndh ghtJidahF. jF rkkhdvirl FL JghiandhjStJvidahF.
J Jgh afFfhuzkhwJ(gl15.5).
Jgh iw Foiwial mfkhf Ugjh,Jgh KLf FoKLfijlFiwthfcsJ.
15.7cjkhwhnfhghL
rkkw wirf braglhj tiuxU mik bkhj cj khvgJcjkhwhnfhghLMF.
bkj
m1, m
2 iws A, B vw U
bghUfis(gJf) fUJnth. mitKiwna u
1, u
2 irntff xnu
irnenfhoaFwd(gl15.6a). mt J rk braglhj
wir VJ bragliy. u1>u2vf.gl15.16b- fhlgLsthWU bghUfS xw J xWnkhbfhwd. nkhjnghJmit bjhLbfhwd. bjhLbfhoUjneu tdhof.bghUA, bghUBJF
1vwiria,B,
AJF2
vwiriabrYJwJ.A BnkhjYFv
1, v
2ir
ntffnkhjYFKaamnj
ir nenfho aFwd.(gl15.6c)
lulhgo
Bjhdir(id)F1= B
iwX BjhdKLf
m2
(v2-u
2)
tF
1= ----- (1)
JghFLjhdKLfir
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myF-15
iraffS
nkhjnghJ
Ajhdir(vid)F2= A
iwX AjhdKLf
m1
(v1-u
1)
tF
2= ----- (2)
l_whgo
F1 =-F2rkghL(1),(2) UJ
m2
(v2-u
2)
t
m1
(v1-u
1)
t= -
m2(v
2-u
2) = - m
1(v
1-u
1)
m2v
2- m
2u
2= m
1u
1- m
1v
1
m1v
1+m
2v
2= m
1u
1+ m
2u
2
vdnt,m1u1+m2u2 = m1v1+ m2v2nkhjYF K mik bkhj
cj nkhjYF bkhjcjF rk. wir braglhjnghJ nkhjdh U bghUfbkhjcjkhwVgLtiy.
J gy bghUfSF ilnaahdnkhjYFbghUJ.
f bga g xiw vLJbfhL KGtJ fhwh
ug.fGJgFiayh
fl. xL giliagagLcRFHhiagguJxl.
f cR FHhD xU U Kidfis gl 15.7fhosthWbghUj.
f nghJgfGfosiy mf. g thtahffhWbtnaW.
f nghJ cR FHh efUiria ftf.
bra15.2
vLJfhL15.3
15uh iws JghFL 100 -1 ntf RlgLwJ.
Jgh iw 2 v mjafirntffhf.
Foiwm1=15.=0.015
Jghiwm2=2Fobjhlfirntfu
1=0
Jghbjhlfirntfu2=0
FoWirntfv1= +100 -1
(FolUJtykhdafirianeFahfvLJbfhtJku)
gl15.6
(C)
nkhjYF
nkhjYFK
gl15.7
cRFHh
gfhW
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gl15.8
P
bjhiy d
F
JghndhFirntf= V
RLKbkhjcj=m1u
1+ m
2u
2
=(0.015x0+2x0)
= 0 Kgms-1
Rlbkhjcj=(0.015 x100+2V)
=(1.5 +2V) Kgms-1
cjmikgo
Rlbkhjcj=RLKbkhjcj
1.5+2V
= 0
2 V
=-1.5
V
=-0.75-1
vF FL efU irFv ir Jgh afmiltijFF.
15.8ir Uw kWuil
irUw
UF FwL vw fUah
bragLjgL irahdJ UFkiu(nut) xiw RHW myJ,f(hinges) J fj RHYnghJ, irahdJ, bragLjgLirnyna bghUis aFtnjhLkLkyhk bghUis RHYkhWbrwJ. RH mR, irbragL nfhoid btlbrahJ, mjF izahf
UfhJ. RH gid
ir U is myJFl mir bghUj irU w vdyh. ir F Uw v kghdJ irv k kW ir bragLnfhoUJ m brFJbjhiyMatbgUfgydhfvLJbfhsgLwJ.
gl 15.8 fhoathW bghUJs P vw ir F
bragLtjhf fUJnth OitbghUJir F Uw= ir v k X irirF Uw fhzglntoa F ilnaahdbrFJbjhiy= Fx d
bghUJbragLir,OitrhJ bghUis lRirRHdh mUw lRUw vdgL. bghUis
tyR ir RHdhmUwtyRUwvdgL.irUwmyF
ll.lRUwidneFY,tyRUwidvFYFLtJku.
uil
bghUbsh J U irfizJ bragL, Uwid
myJUisitVgLjToagy vLJfhLfis eilKiwfhnwh. rfu x X kWY f U ff flgL,rfubjhLnfhLftnaUrkkhd(F)virfbragLtjhf
UfL. (gl.15.9). rfu, mjika O- bghUjgoUjh,
ir
T = Fd
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myF-15
iraffS
O-it bghUJ lRirRHY
X
90
90O
F
F
Y
gl15.9
bragho nfhLf xWlxWbghUjhk,braglToaUrkkhd vbu irf uiliacUthF vd auaTwgLtJL.
15.9
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m1, m
2 iws U bghUf
gl 15.12 csthW d bjhiymikJsd.UbghUfSF
ilnaahd
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myF-15
iraffS
15.9.4
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iwama
1958 #& 2- eh krhmzhJiu wjh. mtuJbga, ehLkf xbthUt
yY gagLjgLbgauhdJ. kf aKl mtiuruha mzhJiu vdmiHF msF fbgwt.1982 ML vyuha JiwM.E., gl bgW, mnj Mo
a bt M ika(ISRO) gnrjh.
mzhJiu braifnfhJiw Kd bjh Eg
tYduhth.jnghJmtruhaI kW ruha II t l
aFe Mth. Fiwj bryruha totik t gFFljfJ. jidia LmtuJ ngRf a khztfilna Jiw Mtij
LtjhfcsJ.
ruha
tUtdmjrhjidfy
f y k _YTWfmf gu guUgijfljJ.
f ruha fk tiu
fU(Moon minerology Mapper),yKfhyKYcUaiyUjijcWbrwJ.
f Inuha bt ikagaRik - ruha I glkhFX-f ( CXIS) wkhiykh,24F nkgl tik FaNaxafisgbrjJ.
ruha
ruha I ygazfhdxU fy. J yF mDggl
ah Kj MyhEzh MF. 2008M MLmnlhg khj MukhyYs$AnfhlhUJ ISRO-M VtglJ. J 2009-M ML MfL khj tiu
braglJ. j M tytU kW jiuwF tiffiscslaJ.JISRO-IJgaRikfis vLJbrwJ. nkY, J
mbkfhNASA btika,Inuha btika ( ESA),gnfa btika t6 gaRikfis ytrkhfvLJbrwJ.
ruha 312 ehf braglJ. mnghJ llgl
yFf 95 rjjij iwbrjJ.
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myF-15
iraffS
f ruha I- bghUjgly tiugl xglfUmbkfh mnghnyh 15,mnghnyh11yfyfy
jiuwa lfis gbrJsJ.
f yfktsgajftfca gFw wkhiykh _ybgwglJ.
f y nyr bjhiyt fU(LLRI), y JUtf kWKa gFf ga jftfis
mjJ.f CXIS X-f glfU, y
mYa, bka kWfhtjilafisgbrJsJ.
f gnfa gaRikahd fR ffh fU(Radiation Dose Monitor - RADOM)ruha Vtgl ehnyna
bragLjgL Weh tiubraglJ.
f 75 ehf ruha ifglfU 40,000F nkglglfisFmDaJ.
f ynkLgsfisytiuglxglfU g brjJ.
ygu mf gsjhFfis
bfhlJ.f KG totij
KjKiwahf g brJmDaJ.
ruhaIygukjfciwlkhfgagLgyFiffisfljJ.
FbjhEg(Cryogenic Technique)
Fa vw brh ciw FvWbghUgL,nufbrhUJ
cUthdjhF.
aa Fa vgJ fFiwj btgiyia cUthFjY(123KFFiwthf)mbtgiybghUf braghLfismtJkhF. f Fiwj btg
iyYs bghUfisgfwgt Fashs Mth.Fa bf btgiy
msL Kiw gwgLwJ. utieu#, ut a nghwit gyF gaghLf KakhdjhF.fgo ehLfilna bgw
aYtJ, F bjh Egmf gagLtJ ut ieu#MF. ut a f Fiwjbtgiyia bgw bghJthfgagLjgLwJ.6mocauK3molK bfhl th FLitf
utfitfgLwd.ulh cyfngh nghJ
Fa Jiw tsailjJ.mayhsf f F%lglcnyhff cWjikmfgij fljd. JF tYgLJj vdgL. vvgtuh 1966M ML thg bragL F bjhrhiy
cUthfgLcygHikahdFWtdkhfkhaJ.
ut ieu# nghw Ff,FF kW ciwa brgaghLfgagLwd.
i)uhbf
F bjh Eg KagaghL F vbghUshF. ut
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iAu# bgUks uhbfovbghUshfgagLjgLwJ.
ii)fhjxirgkhf(MRI)
fhj xir gkhFKiw tYf fhjyijkj cl cSWf CLUtbrJ tfnzhl ( Scanning)
lgLwJ. tikahd fhjyut aD itfglflJ fRUfis gagLcUthfgL. ut a RUbtgiyia Rkh 4k tiuFiwabr. jifa jhj
btgiy mf gFw bfhlgfisbgwyh.
iii)bgUefufwmDL
bgUefuf wj iyff tna w mDjfodkhdjhF. Mdh momikfgl f tlf wmDj nghJ btgiy cathw zhfgL. jid jf
utkhfgl F thf ftlf J bjfgL mjbtgiyjilFiwfgL.
iv)czgjgLJj
nghfG gFf, yeLfghj gFf MatFmf ms gjgLjgl czbghUfis mDtjF FthfgagLjgLwd.
v)jLCkUJcbjhEgjahfgL
jL C kUJfSF ieu#F%LKiwmtakhdjhF.
btiya
bt Fl fhy jMgf nkbfhtjfhf
kjdhtotikfglJbtiyakhF.
ed bt iyaf,bt y thuf myJ
y khjf myJ y tUlfj Mgf nkbfhtjfhftotikfglit. mnk{, rtir, ifny, nghwit
tifbtiyafshF.
bt iyaf, lehbt jFtjh kjcl VgL isfisMuha gagLjgLwd. kw
fyfis ngh myhkmf eh bt j, mfvifyhdMfnkbfhs
it mojskh mikwJ. uhQtgagLafilbtiyar5MF.J1976kW1977Mo nrha Foau mnk{lgogagLjglJ.
bt iyaf bghJthfUtifgL. r ifnyMait xiw mLF tifahF.
it Kj VtgL bt
MthsuhteljgL.njitahdbghUf kW M fUfSlVtgL, mit gagLjgllfyiflgL.
r 6, kW r 7 Maity khwfis csl UmLFKiw cUthfgld.
J, ulhtJ bt Mths
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myF-15
iraffS
a fy _y mjidbrwiltjF bghUfisbfhLnrfttFjJ.
jdh bt iya
Mthsuh bjhlJ teljglJ. ifny uil mLFtifia rhjJ. ulh mLFgagLjgliy.ulhmLF
lfhyMFttFF.
ulh tifia rhj ,kW gdhL bt iya( International space Station-ISS)Mait jahf Kj VtgL,
njitahd gFf gogoahfmjDl izfglJ. tifbt iyafis V tjFf w thj xiw Vthfdnjitiy.czkWfUfis
Jizfyf _y njitahdnghJbgWtjnfg bt iyatotikfgL. vdnt, l fhyMF jid gagLbfhsyh.
f Fiwj kWRHj,mf fR, Fiwj
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2.nfhollfisuf.
m)ir=iwxKLfvcj=________________
M)utiAu#uhbfogagLwJv
________________MRIglojgagLwJ.
3.ruha-1lnjhLbjhlilayWtdfbgafnHbfhLfgLsd.Mdhy bgaf mnjhL bjhlyhjit. bjhlyhj Wtdf bgafis goaLf.(a bt M ika, ghgh mQ Muh ika, ehrh bt ika, InuhabtTlikWtd,cyfRfhjhuika,vbzvthfHf)
4.fhQTWfjtWfVJUrbrf.
m)xUlirvgJxUuhiwsbghU1ms-1KLfijVgLJirmsitFF.
M)idvidvnghJxnubghUJbragL.
5.FbjhEgKakhdgaFvghUMF.FvbghUvgjbghUisczJf.
6.lRUwid _________ FY, tyR Uwid ________________FYFLtJku.
gF-
1.m)lKjafirgigsFwJ.TiwahagLJf.
M)10..,20..iwsbghUfKiwna10ms-1, 5ms-1 ntfbrtijglfhLwJ.mit nkhbfhwd. nkhj nghJ mit bjhL bfhS neu 2 dhof.nkhjYFmitKiwna12ms-1, 4ms-1ntfbrwdvF
1, F
2tiwfhf.
nkYma
f
1. Advanced physics - M.Nelkon and P.Parker, C.B.S.Publications2. College Physis - R.L.Weber, K.V.Manning Tata McGraw Hill
3. bghGJnghFbgsf -ah.bgbukhbrRA
izajsf
http://www.brittannica.com
http://www.zonalandeducation.com, www.wiki.animers.com
http://www.arvinguptatoys.com
10 Kg 10 Kg10 Kg20 Kg 20 Kg 20 Kg
10 m/s 5 m/sF1 F2
12m/s
4m/s
2.m)btiyaf,lehbtjFtjhkjclVgLisfisMuhagagLjgLwd.TidahagLJf.
M)F = Gm1m
2/ d2vgJl
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myF
16aa
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bga : iknfghlnu
w : 22.09.1791
wjl : l,yhJ
kiw : 25.08.1867
w : ildnkhitfLojt
16.ndhla
ed rKjha rhu fKakhd gid twJ.Lf, gf, kUJtkidf,bjhrhiyf t gytifgaghLfSF yFthf,
trahf gagLjgL MwdhwyhF. dhw vthWcUthfgLwJ?
R ndhl vthWghwJ?xURndhlijxGFgLJ fhuf ahit?
ghlgF dhfSfhdilfisfhngh.
16.1ndhlkWRW
fh af, Xl itekFeFbj.MXodhmij nuhl vnwh. mnjngh}lf xU fl XodhmJ ndhl vdgL. xUif (lh) s cs fy,}lfis XlbrJ sFvtjfhd ndhlij VgLJwJ. rhia _LnghJ kLjhsFvwJ.rhvdbrwJ?rh fyF, sF
ilna izig VgLJwJ.ndhlbjhlJgh_oaghijRW vdgL. RW VjhtJ xU JofglhndhlbrtJjilgLsFvahJ.
ndhlij eh vthWtiuaWfyh? xU dho neufl xuyFgu tnaflJ brY }l ms
ndhl vd tiuaWfgL.RUfkhf }l gh jndhl vdgL. cnyhfflf vyuhf aF}lfshf bragLwd.vyuhf aF irFvir ku ndhl irMF.
Q ms }l xU fl
VjhtJ xU FWFbtLgutna t dhofghjhflndhl
I = Q / t.
}l SI myF TY. 1TYvgJ6 x 1018 vyuhf}lFrk.
ndhlmyF Ma (A)MF. Ma vgJ bu ehLmamPbgauhF.
nknycsrkghoUJ
Q = 1 C ,t = 1 S
v I = 1 A
xU TY }l xU dhoneuflVjhtJxUFWFbtL gu ghjh flndhl xU Ma.xURndhlijmsfmlvwrhjdgagLwJ.
vLJfhL16.1
xU sF 0.75Andhlij 10 lfSFgagL bfhwJ. v Rgh}lmsahJ?
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myF-16
ndhlaYMwY
: ndhlI = 0.75 A
fhyt = 10 lf
=600dhof
Q = It
Q = 0.75 x 600
}lQ = 450 C
gl16.1fy,sF,mlkW rh tiw bfhl RiwFwJ.
gl 16.1
16.2dGj kW dGjntWghL
xU fl }lfis
af brtJ vJ? ilklkhd
FHhghahJ.FHhxUKidia
nkkl bjhol izF
nghJjhFHhghwJ.mjhtJFHhUKidfSilnamGj
ntWghL cUthfgLnghJ xU
KidUJkWKidFghwJ.
mnjnghyxUcnyhfflU
KidfSilnadGjntWghL
xW cUthfglhjh fl
tna ndhl gh. dGj
ntWghL xU R xW myJ
xWF nkgl fyfsh
cUthfgLwJ.
fy xU fl RizfgLnghJ R dGj
ntWghLcUthfgL}lf
a R ndhl gh. xU
R U fSilna
dGj ntWghL vgJ xU
UJ kbwhU F XuyF
ne}lijefjbragL
ntiyMF.
U filna dGj
ntWghL(V)=ntiy(W) /}l (Q)
V = W / Q
dGj ntWgho SI myF
nth(V)
1 nth=1#&/1TY
ndhl gh fl U
fSilna1TY}lijvLJ bry bragl ntiy 1
#& v mU fSilna
dGj ntWghL 1 nth MF.
dGjntWghilnthliu
bfhLmsnwh.
16.3RWgl
vikahd FpLfis
gagL xU R gntWcWfis izJ bgwgL gl
RWgl vdgL. bghJthf
tHfkhf gagLjgL
cWf bgafS mt
FpLfS nH cs mltiz
16.1bfhLfgLsJ.
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t. v cWf FLj
1. fy
2. nglmyJfybjhF
3. rhmyJRR(wjJ)
4. rhmyJRR(_oaJ)
5. fiz
6. izgwfFWnfbry
7. sF
8. jil
9. khWgLjilmyJjilkh
10. ml
11. nthl
mltiz16.1
vLJfhL16.2
xUR10V dGjntWghLsUfSilna5C ndhlij
efjbraglntiyahJ?:
}l Q = 5 C
dGjntWghL V = 10V
}lijefj
braglntiy W = V x Q
W = 10 V x 5C
W = 50J
16.4 X
bga : #h{irkX
w : 16.03.1789
wjl : vyh#,b#k
w : 06.07.1854
w : X
xU fl KidfSilnacs dGj ntW ghoFfl gh ndhlFilna bjhl clh? fhQbraghilghngh.
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myF-16
ndhlaYMwY
bra 16.1f gl 16.2 fhlgLsthW xU Rid
mikf. R 0.5m sKs XYvwienuh f, ml, nth l, 1.5V dGjKs ehF fyf it
izfgLsd. ( ienuh vgJ f,Fnuha, khfR kW U twh Mdcnyhffyit)
Kj ienuh fnahL xnu xU fyijizbfhLJmlmsL I. nthlmsLV tiwFJmltizgLj.
f nkny brhdJ ngh uL fyfis R izJ mlmsLI, nthlmsV MatiwFf._Wfyf,
ehFfyfvdizJxbthUKiwml,nthlmsLfismltizgLj.
f xbthUKiwV kW I msLfjfzl.
gl 16.2
t.v
R
gagLjgl
fyfvif
nuhf
ghndhl
I ( ampere )
nuhfKidfSilnadGjntWghL
V ( Volt )
V/ I
(Volt /
ampere)
bragho V/ I khahfUgijfhzyh.
1827 M ML b#k ehLaa mP #h{ irk X xUfl gh ndhl IFfl KidfSilnaahd
dGjntWghL VFkhdbjhligfljh.
Xgokhwhbtgiyflx tna gh khwh ndhlmj KidfSF ilnasdGj ntWghoF nejf
UF. I-ndhlij,
V - dGjntWghilFjh
V I myJ V/ I kh.16.5.fljil
Xgo
V I V = IR
FlbtgiyxUcnyhfflF,R xUkh.Jfl jil vdgL. J }lf afF xU jiliajU.jilSI myFX.jFpL .
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bra 16.2
f ienuh f, if sF (Torch), xcilnahL,ml
f ( 0 5AbeLf ),rh,jsizFfMatiwvLJbfhs.
f gl 16.3 csthW 1.5 V cs ehFfyfismlUlbjhluhfizJRidcUthf.glcsthWXYilbtl.
f ienuhfiaXY ilbtizJrhia_l.mlmsitFf.rhiawf.
f ienuhfFgyhfifsFgigizJmlmsitFf.
fnghJ XY ilbt x cilnahil ( LED ) izJnknybrhdJnghmlmsitFf.
f nknybrhdvyhbrafYmlmsLxnukhUjjh?UJvdbjwJ?
f nj nghy ntW y bghUfis XY ilbt izJnrhjidiabra.xbthUKiwmlmsitFf.
f gfisMbra.
R =V
I
1 X = 1nth1Ma
vLJfhL16.3
xU_yUJ5A ndhlijxUbtg_ovLJbfhSnghJmj KidfSilna dGj ntWghL 60V v KidfSF ilnadGjntWghL120 V MFnghJvLfgLndhlvts?
:-
dGjntWghLV = 60V
ndhlI = 5AXgoR = V / I = 60 / 5 = 12 X
dGj120 V MFnghJndhl: I = V / R = 120 / 12 = 10A
~btg_ovLFndhl=10A
xU fl KidfSilnadGj ntWghL 1 nth MfcsnghJflghndhl
1 Mavfljil1XMF.
gl 16.3
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myF-16
ndhlaYMwY
F xbthU cWigizFnghJ ndhlkhWwJ.VkhWwJ?ycWfvjhf ndhlij mt
tna mDkwJ. y cWfndhlF mf jiliabfhLwJ
16.6jilahfbjhF
gntW RWf eh jilahfisbtntWizfgagLjyh. jilahfis
UKiwfizfyh.mit
m)bjhliz,M)gfizbjhlizjilahf
gl 16.4 csthW jilfR
1, R
2, R
3 tiwxUfy,rh
tWlbjhluhfizf.
gl 16.4
xbthU jilahY rkndhlI ghwJ.jilfbjhF KidfSilnacs dGj ntWghL, jjjilahfSilna cs
dGj ntWghLf TLjYFrk.mjhtJV = V
1+ V
2+ V
3-------(1)
bjhliz csjilahf,R
1, R
2, R
3 t
bjhFgajiliaRs MgLbraKo.mnghJRdGjntWghLV kWndhl I itkhWglhJ.
RW KGtjF X iagagLj
V = IRS
jj jilfSF XiagagLj
V1
= IR1
V2
= IR2
nkY V3
= IR3
tiwrkghL1ul
IRS
= IR1
+ IR2
+ IR3
myJ Rs = R1
+ R2
+ R3
vdnt, bjhl izizfgL jilahfbjhFga k Rs jjjilahf (R
1, R
2, R
3)
jilf TLjYF rk.bjhFga jil k vj xUjgl jilah jilkiglmfkhfUF.
vLJfhL16.4
18X kW 6
X jilf6V fy mLFl bjhluhf
izfgLsd. v, 1. Rbkhj jil 2. R ghndhltiwfzLf.
:-
1) bfhLfgljilf
R1 = 18 X
R2 = 6 X
~Rbkhjjil
Rs = 18 + 6 = 24 X
2) fy mL KidfSilnadGjntWghLV = 6V
~RndhlI = V/RS
= 6/24
I = 0.25 A.
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gfizjilahf
R1, R
2, R
3 k bfhl _W
jilahf gf izizfgLwd. j bjhF
gl 16.5 csthW xU fymLF kW rh tWl
izfgLwJ.
gl16.5
gf iz bjhF xbthU jilahF FWnfdGj ntWghL rkkhf UF.mj k V. bkhj ndhlxbthU isY cs ndhlTLjYFrk.
I = I1+ I
2+ I
3------------------- (1)
Rp vgJ gf izYsjilahf bjhFgajil vf. jilahfgfizbjhFFXiagagLj
I =V
RP
XgoI1
=V
R1
I2
=V
R2
I3
=V
R3
jkfisrkghL1ul
= + +V
RP
V
R1
V
R2
V
R3
= + +1
RP
1
R1
1
R2
1
R3
myJ
gf iz izfgLsjilahf bjhFjil jiy k jjjilahf jiljiy kf TLjYFrk. bjhFga jil R
izfgLs jilahfjilWkiglFiwthf
UF.
vLJfhL 16.5
5X10 X 30 X jilfxU R gf iz
izfgLsd.RbjhFga
jilfhf.:- R1 = 5 X
R2 = 10 X
R3 = 30 X
itgfizcsd.
1
RP
1
RP
1
R1
1
5
1
R2
1
10
30
10
1
R3
1
30
10
30
=
=
=
+
+
+
+
Rp= 3 X
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myF-16
ndhlaYMwY
16.7.ndhlbtgis
f xU fy, sF, rh,(bulb)
izf tiwgagLgl16.6csthW Rid mikf.rhia _o s tnandhlijghabra.
f ndhl bjhlJl neu s tnaghnghJsfhdJ(bulb)btgkilwJ.
bra 16.3
gl 16.6
fy xU dhw _y
vgJ ekF bj. mjU thfSF ilnasdGj ntWghL, jil tnavyuhfis a ndhlijcUthFwJ. ndhl ghafy mj Mwiy bryLbfhnlUfntL.jMwvd MwJ? xU iabjhlJlneuRHybrnghJvd fwJ? Mw xU
gF gaDs ntiyahf khWwJ.( wiffis RHybrjnghy),jKsMwmjidbtggLzhwJ.RwhdJKGtJ jilah MdJ v_yMwbjhlJbtgtozhwJ.ijndhlbtgis vnwh. ndhl
btg isth gy fUf bragLwd. rhu bgo,buho RL mL, mL, Nnl nghwit ndhl
btg is g mogilbragLehmjrhjdfMF.
16.8#&btg
R jils jilahtna gh ndhl I vf.jilah KidfSilnadGjntWghLV vf.
t dhofjiltnaghndhl Q vf. Q }lij
V dGj ntWgho afbragL ntiy VQ. vdnt_ykhdJ t dhof VQ vwMwiy mf ntL. vdnt_ydh RWF tHfglMw
P = V ( Q / t ) = VI
myJ R tahf _y tneubfhLjMwPXt. mjhtJVIt. j Mw vd MdJ? jMw jil btgkhf khbtnaWwJ. vdnt, iyahdndhl I xU jil tahfghnghJt dhofcUthfglbtgH = VIt
XiagagLjH = I Rt
J #& btg vdgLwJ.go xU jilcUthfgL btgkhdJ (1)
Fl jilF mj tnagh ndhl UkoF(I) ne jY (2) FlndhlF jilah jilF (R) nejY (3)jilah tna ndhlgh neuF (t) ne jY
UF.
rh
g
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vLJfhL: 16.6
4XjilKidfSilnadGj ntWghL 20 V v mclhfgLbtgjahJ?
:-
dGjntWghLV = 20V
jilR = 4 X
fhyt = 1 S
XgoI = V/R = 20/4 = 5A
clhfglbtgjH = I Rt
H = 5 x 4 x 1
H = 100 J16.9.cUgF
#& btg is bghJthdgaghL R gagL cUahF. (fuse). J xUcnyhf fyitah Md f MF.(37% fha, 63%
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myF-16
ndhlaYMwY
ndhl
f
f
eLiyf
cU
thk
l
KjikRR
gl16.7 cU L cgnahf R
xUKamftwJ.ndhl
f, eLiy f vghuhjkhf neuoahf bjhLnghJ mfgSthf khW. mnghJ Rndhl mfF. ijFWF RW vnwh. mjifajUzf cU, cU,Riw, rhjdfisgGjhtUJghJfhwJ.
16.11.w
ntiy bragL j wvdgL. dhw vLJ
bfhsgLjwvdgL.
wP = VI
myJP = I R = V / R
w SI myF th (W).xUnthdGjntWgho,xUMa ndhl bragLrhjdgagL bfhS wxUthMF.
vdnt1 W = 1 nth x 1 Ma
= 1 VA.
th vgJ fa myF MF.vdnt eilKiw eh nyhthvw bga myif gagLJnwh.1nyhthvgJ1000thLfMF.dhw vgJ w kWfhy bgUf gydhF. vdnt
dhw myF th - k MF(wh). xUthkvgJ1thwxUkneugagLjgoUgijFwJ.thgdhwiynyh th k vw myfh (kwh)msnwh. mJ bghJthf vdgLwJ.
1 kwh = 1000 th x 3600 dho
= 3.6 x 106 thdho
= 3.6 x 106 ( J )
vLJfhL: 16.7
xUsF220ValizfgLsJ. ndhl0.50A vswahJ?
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:-
adGjv =220V
ndhl I = 0.50 A
vswp = VIP = 220 X 0.50
P = 110 W
16.12.ndhlntis
f iflgl U gir fyfUJ uL fhgjLfisftdkhfvLf.
f cnyhf Kidfiscjh bfhL njJ
ikgLj.
f cnyhf Kidf jhufiaWfkhfRw.
f ffis gl 16.8 csthWxU fy mLF kW xc ilnahL (LED) tnwhLbjhluhfizf.
f sho myJ ugbfhfy cs vYirrh fhg jLfisitf.
f LED xwjhvdftf.
f vYir rhW ndhlijflJwjh?
bra 16.4
gl 16.8
vYir rhW ndhlflJtijczuyh.
16.13dhgF- fyf
fkntamyf,fhufmyJcffiurfftnandhl gh nghJ fiurfntaifmilwd.jifafiurf gF utf vdgL.fiur tna ndhl ghJnta khwij cUthFtJdhgFj( Electrolysis ) vdgL.
ntafy
bga : nthlh
w : 18.02.1745
wjl : nfhnkh,jh
kiw : 05.03.1827
w : KjfyijcUthat
ntid _y dhw bgwcj fyf ntafyfvdgL.
nthlh fy, fzho
ghu cs j fjfmyD jhu kW JjehfMaUthfitfgLsd.(gl16.9)
gl16.9
vYirrhW
xcilnahL
jH2SO
4
fzhoghu
Jjehfjhu
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myF-16
ndhlaYMwY
fyF btna, thffah izfgLnghJ, ndhl, btR jhuUJ
JjehfF, fyD
JjehfUJjhuFgh.fy ne th myJ
Mndhlhf jhuK, v thmyJ nfnjhlhf JjehfKmik. j fjf my gFutkhF.
}l bgw mafaf mogil fybraghL sfgLwJ. vth Jjehf mQfmaahfgL Zn++ mafshffiurD brwd. jdhvthUvyuhfisbgWv }l cilajhwJ. mnjrka jhu ne thUJ
U vyuhfisvLJbfhL,U iAu# maf (2H+)btgLwd. jdh jhune}l cilajhwJ. Jj
ehf mfgoahd vyuhfcstiu f bjhlJ fG.vdntbtRndhlgh.
j va fy bjhlJ ntMwiy dhwyhf kh jUmikghfbragLwJ.
U jfLfY cs vbu}lffhuzkhfjhukW
JjehfjfLfSilnadGjntWghL njhWfgLwJ. F
jhu Jjehfij l mfdGj mik. UthfSFilgldGjntWghL1.08 V MF.
16.14.Kjik kW Jizfyf
Kjikfy( Primary Cell )sayhjntidf_ybjhlJ
dhwiy bgw cj mikfKjikfyfvdgL.Kjikfy gF bghUfshdthfkWjFjgFut
MatiwnrFnghJaFiriabgwyh.byyhfyvw Ka Kjik fybraghLf F sfgLwd.
tif fyid ndhlijgagL L ndw bra
ayhJ.
byyhfy(Leclanche Cell)
byyh fy xU
fzho ghu mnkhaFnshiuL fiuryh uggLsJ.mnkhaFnshiuLfiurgFutkhf bragLwJ. mnkhaFnshiuL fiurD xU JjehfjL, xU E JisghlK
WjgLsJ. EJis ghlfhg jil bfhLsJ. fhgjil RY khf-il-MirL kW shfgl fhg
Jff fyit itfgLsJ.fhg jL ne thahf
Jjehf jL v thahfbragLwJ.
gl 16.10
fhgjLJjehfjL
EJisgl
mnkhaFnshiuLfiur
fhg,khfRilMirLfyit
fzhoghu
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PbPbO
2
H2SO
4
fzhomyJug
fy
gl16.11fhamynrkfy
mnkhaFnshiuL,mnkhakWFnshiuLmafshfwJ.FnshiuL ma Jjehf jilnehefJvJffismF
goabrwJ.vdntJjehfjLv Rik milwJ. JjehfjL nt idah JjehfFnshiulhf khWwJ. mnkhamaf fhg jil neh
efJ m gowJ. nghJ fhgjLneRikmilwJ.fhgjil, Jjehf jil xUflah izFnghJ fhgjoUJ,JjehfjoFfl
tnandhlghwJ.byyhfyaFir1.5.V
Jizfyf(Secondary Cells)
Jiz fyfis Lndw (recharge) bra aY.
Jiz fyf eilbgW ntidf idf MF. btRndhlij brYJnghJcUthF ntbghUfis, btUJ ndhlij vir
brY, L bgwyh. JizfyUJ ndhlijbgW nt f wf(discharge) vdgL. fha mynrkfy bghJthfgagL JizfydhF.
fhamynrkfy( Lead Acid Accumulator)
16.15.Mw_yf
Mw khWgl totfilwJ. nkY xWkbwhwhf khwglToaJ.Mw mfToajhfnth myJcUthfToajhfnth Ujh,Mw _yf ga jid
eh viyaw brafis fJw bgwtfshf Ungh. iy,vd fhuz? cau UJxUjileheGtlh,mJjiunkhJnghJjoDilaiyMwbgUgFxMwyhfkhwgLwJ.
eh xU bkGFtia gwitjh,mJvwnghJbkGntMwbtg Mwyhf, x MwyhfkhwgLwJ.
jifa cjhuzfcgnahfToatocsMwcgnahf ayhj to NHYFzofgLtij eh ghnwh.vdnt ntiy bra eh cgnahFvj MwY brytfgLtJl,UggagLj Koahjit. clciHig (iwntw) fJtjFjirf Mwiy cgnahnwh.gntW rhjdfis af
dhwiy, czit rikfmyJ thfdfis af ntMwiy eh cgnahnwh.vyh xU _y UnjilwJ. cgnahf to MwiybgWtjF njitgLw Mw_yij vthW njbjLgJ vW
ehmUfntL.
fy
+-
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myF-16
ndhlaYMwY
wj Mw _y vgJ X myFiwFmfmsntiybraToaJ.vjhf ilf ToaJ. nrgJ
lkhwbrtJvjhfUfToa
kWf Kakhf iykthfUfToaJMF.
16.15.1kurhMw_yf
1.gokvbghUf
gilfhy wnf fKa Mw _ykhf UjJ. gh
kW fh Mw FiwjbrafSnf cgnahf gLjglJ.
jifa cgnahffis cdh
fKowjh? Mw_ykhfyf gaghL bjhuiarhakhaJ. bjh kakhf,cyfyha Mw njitia bgUntf cau brUwJ.cUthf Uw Mw njitts bgUks gok vbghU,
yf kW bgnuhaijrhJsJ. jifa vbghUfa fzfhd MLfSF
K cUthfglit. nkYfFiwjnrkLnkcsJ.gokvbghUf Jf ayhj Mw_yf MF. vdnt mitfis ehghJfhfntL.jifa_yijmr_L ntf gagLJtJbjhljh, ekJ Mw JnghF.
ij jgjF khW Mw_yfMbraglntL.
gok vbghUf, fhW khRgl,
mykiHkWgRikafthfcUthf nghw a isfbfhlJ.
2.mdMwTl
Mw iyaf xbthUehS dhwiy cg bra,iu btggLj bgU msyhdgok vbghUf vfgLwd.
xnu bjhiyF yf (m)bgnuhaij bfhL brtijl,MwiymDtJfvjhdJ.vdnt md Mw Tlf yf
myJ vbz tafSFmU WtgLwJ. dhwyhfkhwgLw btg Mwiyclhf vbghU vfgLwfhuzjh J md Mw TlvWmiHfgLwJ.
3.uhwTl:
kbwhU ghuga Mw _y,gh af Mw myJcau cs iy Mw. Mw Tlf Gw iyMwiy Mwyhf khWwd.cgnahfgLj Toa iyMw _ykhf xUy fnscs nghY Mw TlfmizfLfSliznjcsd.flj who cyf KGtJbgU vifyhd mizfflgld. eh fhgJ ngh
ah,ekJMwnjitfh
gF Mw Tlf _y bragLwJ.dhwiycgbrtjfhf bga njff
iunrfgjF, nuhlij jilbra M J f caukhdmizf flgLwd. klcawJ. nkY braKiwgh af Mw iyMwyhfkhwgLwJ.mizcaklUJ, miz
mokl cs irahFFHh _y bfhL brygLwJ.xbthU Kiw kiH bgif
njf uggLtjh ( MwJfToaMw_ykhF).
Mw_yfiscgnahFnghJ,gok vbghUfis ngh xU ehJ ngh L vW ftiyglntoaiy.(gl.16.12)
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gl 16.12
dhwflJftlf
kh
mizfL
cgiya
irah
FHh
a
btnaWt
nrWfj
njf
4.cMw
eh K FlJ nghl fhykhf wF vbghUshfgagLjgL tUwJ. ngha
kuf elgLtJ ekh cWbragLkhdh, w bjhlnahf cW bragL.vbghUshf tuo cgnahgij
feFbjUfntL.
J Tl xU uhd vbghU_ykhfcWafToanj.btbghUf jhtu kW yFfcg bghUfshjyh, jifavbghU _yf c Mw
_yf vdgLwJ btbghUf vwnghJ mfbtgij cUthfhJ. nkY mfms ifia btLwJ. vdnt
tif vbghUf widnkgLj bjh Eg tfhlmtakhwJ. msthd M#nahf wif vf mcs kW MahF bghUfmfwgLwJ. vrkhf kufjFwJ.Rlvwkufifmwjhf UwJ. nkY fmfbtgcUthFwbfhlJ.
mnjngh khLrhz, jhtubghUf, gf mWtilFija bghUf, L cgnahfff it ijJ c thitjUwd. F bgUghY
khLrhzgagLtjhrhzvthvdgLwJ. rhz vthfymikgl16.13fhlgLsJ.
5.fhWMw
fhafMwntiybragagLjgl ToaJ. j Mwflj fhy au ntiyiabrtjF fhwhiyf _ygagLjglJ. (v.fh) caJg fhwhiy RH af xU
z UJ iu caJtjFgagLjglJ.dhwiycgbra fhW Mw gagLwJ.mogil bga ia xjmik Mfgl xU fhwhiycWahd jhJ mf cau
WtgLwJ.
dhwiy cg brafhwhiy RH afa irahia RHy
bragagLjgLwJ.xUjjfhwhiy btpL Mw fFiwthdJ. nkY tjf nehgagLjgl KoahjJ. vdnt,mf vif, guj gufhwhiyf WtgL mitffhwhw giz vdgLwJ.tjf ms dhwiy
gl 16.13
thbtnaWt
thfy cu
rhz
FH
brfbrmik
vUbtnaWt
rhzrhz
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myF-16
ndhlaYMwY
gl 16.14
16.15.2kurhuhMw_yf
ekJ thif Kiw khbfhoUwJ. nkY, nkY ekJbrafis bra eh aufiscgnahnwh.vdnt,ekJMwnjit mfwJ. eh nkY,nkY Mw _yfis njLtJmtakhwJ.ehilwMw_yfis wikl gagLj
f cdJ jhjh, gholUJmyJ bgnahflUJmJbfh.
f mtf vthW gFbrwhf?
f mtf Wtfshf UjbghGJ mtfsJ mwhl
njitfSF iu vthWbgwd?
f vj khahd bghGJnghFfis mtfnkbfhld?
f nkfl gfis bghGJjifa brafis vthWbrwhvgJlxL.
f ntWghL Uwjh? M
v bt _y UJmf Mw vj fcgnahfgLwJ.
bra16.5
1.NaMw
Na Vuhskhd ms Mwiyjnghija ntf flj IJa MLfshf btLbfhnlUwJ.JnkYVwjhH5 a MLfSF nk JbjhlU.NaMwxUWgFkLnk thnfhs btmLiftjilwJ.thnfhstna flwnghJ m ghcftugLwJ, na guigtjilwJ.
bgw xU giz xbthUfhwhiybtLMwxwhf
izfgLwJ.
fhwhw RWNH eilaJ.nkYwFjJfToaMw_y. dhw cgF bjhlbryfnjitglhjJ.irahFnjitahd ntfij iyWjfhntf15./kialfmfkhfUfntL.
bjhEgijnkgLJnth.nkYa Mw _yfis njLnth.
bghGJ mikfhy Mw_yfytiwehfhngh.
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f U TFLitfisvLJ xWF btiskbwhWF fU tzK
R.uiluhu.
f TFLitiamiuKjxUk neu tiu neuoahf Naxitf.
f TFLitia bjhL. vjxWNlhfcsJ?
f xU btgiykh bfhLuoY cs
btgiyiamslyh.f cdJ mwhl thflj gagLjglToatfiscdhnahfKowjh?
bra 16.6
vbuhfglNaff
fzhofzhoghu
Fig. 16.15
gl 16.16
xU fUgu xj iykw gufisl mf btgijcftU. Na btg_o mjbrafgiggagLJwJ.Mofis cgnahJ Na ffisFgj _y Na rkafyfca btgiyia milwd.Na rkafyf fzho jlh_lgLwJ.
f Na rkafy myJ Na - btg_o bra kWmikig ma. Fghf mJvthW fhlgLwJ, nkYbgUkmsbtgcftvthWcWbragLwJvgijgo.
f ilf Toa k iybghUfis cgnahJ Narkafy myJ -btg_oia
totikJcUthF.nkYcdJNa mL vd btgiyiamilwJvdgnrh.
f Na rikafy (m) btggKocgnahftu(f)kW mj wf vd vdfyJiuahL.
bra16.7
Nafygyif
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myF-16
ndhlaYMwY
jifa rhjdf gfbghGFl neu kL gaDsjhf
UwJ. Na MwiygagLJt cs j tu
Na Mwiy dhwyhf khWNa fyij cgnahJbt bfhsgLwJ. eilKiwcgnahfF ngha dhwtHf Toatif, Na fygyifvdgLwXmikbgUvifyhd Na fyfxizfgLwJ.(gl.16.16)Na fyJl izj KjikmDTyf, mitf aFgFf yhjit, Fiwj guhknjitgLwitvgjhF.knwhmDTy dhw mD ftl mikf mf brythf ToaxJFwkhd gFf mitf
WtglToait.
16.15.3mQfUMw
mQfU Mw vthW cg
bragLwJ? mQfU svdgL braKiw, fdkhdmQfU,FiwntfuhbfhLjhfgL nghJ, nyrhd mQfUfshf sgl TL. J
fjgLnghJ mf ms MwbtgLwJ. _y cfU iw,cUthd cfUf iwfTLjiy l J mf. xUmQfU myJ nua
s yf xU fhgmQ vwnghJ cgahFMwiyl 10 a klF mfMwiycgbrwJ.MwcgfhftotikfglmQfUciy, fLgLjgl Kiw,
iy Wjgl mQfU sbjhl id Mwiy btLwJ.
btgL Mw uhia cUthdhwiycgbrwJ.
bga : bAbgbfhu
w : 15.12.1852
wjl : gh-uhR
kiw : 25.08.1908
w : faffLo
16.15.4faf
mj fthd faf1896 bA bgbfhuvgtuh fLofglJ.mt fUjhdh Rwgl
xgl jfL, nua cUJ btgL y CLUffsh ghfgLtijfljh. d %j~nghLmUJ tU fR thitmaahF w bgUjijfLojh.maahffhuzkhfclhd ndhl bghUDilafaf bra msthf vLJbfhsglJ.
xU y tUlfSF nklnkmtfztaFj fR bfhl jkfshdnuoa kW bghnyhaijfljd. bghU fafbra_WtiffRfshd , kW g isthf UF vdfhlgoUwJ.mQv82Ilmfkhdfdkhdjkf, kWg
nghw mf CLU ffisjirahfbtLmjffaf vdgLwJ. firbtL bghUf fafjkf vW miHfgLwJ.faf f jirahdJ.nkY btgiy mGj, fhjkW yf nghw vj wfhufshYghfglhjJ.
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f fdkhd mQfU, ngusMw btpLl U JLfshfsfgLbraKiwmQfUsvwiHfgLwJ. mQfU s
uhbtpnlhLizjjhF.
92U238clMdmQfUsid
tUkhWFlgLwJ.
92U235+
0n1
56Ba141+
36Kr92+3
0n1 + 200 Me V
nkflvLJfhomQfUs id 3 uh kW 200a vyuh nth MwbtpLlfJbfhoUwJ.
2.mQfUiz
uL myJ uoF nkglnyrhd mQfUf izJfdkhd mQfUf cUthFbraKiw mQfU iz MF.cUthF cfU iw, nyrhd
cfUf iwf TLjiylvbghGJ Fiwthf UwJ.IO iw Mw bjhlgo[E = mc]. iw ntWghL Mwyhf
khwgLwJ. mQfU izbraKiw 107 K vw cabtgiy kL fjglToaJ. Vbdwh jifabjhU cabtg iy kLnkmQfUf mitf guguviriabtbfhsaY.vdnt, mQfU izFKnyrhdmQfUfbtgiygyaocaUfntL.
mQfU iz id btgmQfU idf vdgLwJ.mQFL btoj clnd ouhkW olh bghUjkhd nrxidfgLwJ. fLghlwKiw nyrhd mQfUf
izit rhjfkhd btgiyJtFwJ.JngusbtgMwiybtLwJ. Jjh iAu#
FLMF.iAu# Fo mQfU
izidahdJ
1H2 +
1H3
2He4 +
0n1 +Mw
vLJfhL16.8
xU nyh uh iw KGtJMwyhf khwgL nghJ ilFMwiyfzL.
:Mw E = mC2
iw m = 1kg
xirntfC = 3x108 m s-1
E = 1 x (3 x 108) 2
= 9 x 1016J
16.15.5 mQfU s kWmQfUiz
1.mQfUs
b#k mayhsf MnlhAh kW uhnk 1939nua mQfU uh bfhLjhfgLnghJ Mw btpLl,xlToa iwfSila U JLfshfsgLtijfLojd.
gl16.17
mQfUsiz
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myF-16
ndhlaYMwY
gl 16.18
16.15.6.mQfUidwf
mQfU id vgJ mQfUciyiaMgUJghJfhfcjxU ggsthF. fhyij rhJ
mQfU ciy uhfvif khwij KngmJbfhscjggsthF.
mQfU ciyahdJ KGbragL nghJ m cUthfgl
uhf vif,gagLjgl uhfvifrkkhfUF.nghJmQfU idR MF. mQfU
idneFahfcsnghJ,mQfUciyMgjhdiycsJvdyh.
16.15.7 mQfU Mw aisf
, kW f Rfah maahfij cUthFfRf MF. f Rfc br _yTWf mikigkhW w bfhlit. vdntca mik tHfkhdbraghL khWghLF cgLwJ.kj cayik khWghodhVgLghms
i)f ms kW mjcftj
ii) cl vgF fRFcgLwJ nghw fhufisrhJ mikwJ. jifaghf nehia clhfyh
myJfisghfyh.
f ms uh# vwmyfh mslgLwJ (R). xUuhfh1.6 x 1012n#homafiscUthF f ms xUuh# vdgL. fghJfh viy xU thuF250uh#MF.
Kbdrifeltoiff
fR Mtff gahWgtf tU Kbdrif
eltoiffisifahsntL.1)faf bghUf joj-
Rt bfhl fha fyfitfglntL.
2)MgJ gFf g bghGJ, fha nky, fha ifiw gagLjglntL.
3)xUaEa xgljhgil mF ggtfSFmfgL, rkfhy
ilbt mt bgW fmsnrhfglntL.
4)mQfU rhjdf bjhiyfLghL Kiw (RemoteControl) ifahsglntL.
5)ggFfcsfaf
ff Kiwahf RjbraglntL.
1.1.8. iwa ma :- flUJMw
1.miyMw
ghiwKf
FWaw
irah
njf
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3. khfl btgMw
flmyJkhflMgF Fah Uw
bghGJ, nkgu NadhbtggLjgLwJ. btgiycs ntWghL khfl-btg-Mw khw fy Mwiybgw gagLjgLwJ. 2kmMH cs UF nkgucs UF ilyhd btgiyntWghL 293 K (20C) myJmfkhf Ujh, jifal bragl Ko. nkgubtgkhd mnkhah nghwMahFutfisbfhfitfcgnahfgLjgLwJ. utM a irahia
af cgnahfgLwJ. khflMH cs Fj nknybfhLtugLMLutkhfFfgLwJ. fl UJilw Mw f mfkhf
UwJ. Mdh wF tjfgaghofodkhfUwJ.
fhWcFt
a
irah
miy
ir
gl16.19
RHYJujhdkhfru
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myF-16
ndhlaYMwY
kLgF-m
1.20Xjilsf0.2AndhlcUthfnjitgLdGjntWghL-----
(100 V, 4 V, 0.01 V, 40 V)
2.UsFfjilfj1:2.mitbjhluhfxURizfgLwd
vmitvLJbfhSMwfj-----
(1:2,2:1,4:1,1:1)
3.nyhthkvgJ------myFMF.
(dGjntWghL,w,dhw,}l)
4.xjgjidf------gukwgufislmfbtgijcftwJ.
(btik,brhubrhughd,fUik,kr)
5.aiffafjkmQv------
(82Ilmf,82IlFiw,tiuaWfgliy,FiwjJ92)
gF-M
1.fhQTWfXnahLbjhlyhjijvGJf.
m)ndhl/dGjntWghL=kh
M)dGjntWghL/ndhl=kh
)ndhl=jilx dGjntWghL
2.nfhollfisuf.m)dGjntWghL :nthlv
ndhl :------------
m)iya :kurhMw,v
NaMw :------------
3.kurhuhMw_yfbgafnHjugLsd.MdhmtWyjtW.jtwhdtiw
goaLf.
(fhWMw,NaMw,Mw,mQfUMw,miyMw,-mdMw)
4.fhQTWfcsjtWfisrbrf.
m)wjMw_yvgJXmyFiwFFiwjmsntiybraToaJ.
M)cgnahfToatocsMwiyL,LehgagLjyh.
5.vikahdFpLfisgagLxURgntWcWfisizJbgwgLgl
RWglvdgL.gntWcWfvgijvthWJbfhsyh.
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A B
6 V
1 ohm
1 ohm 1 ohm
1 ohm
11.mil FF bfhLfgLs brhf cadtiw njbjLJ fhQ
mltiziauf.
(Jjehf,jhu,fhg,fha,fha-ilMirL,mYa)
neth nlafy
vth byyhfy
7.fhkhffaiffafjkfshbtlgLMgjhdfrhF.
m)aiffafjkfbtLntWfRfahit?
M)fhQTWfisnknybrhYfRfnshLbjhlgLmltizLf.
(i)mitfhjfRfii)mitmfCLWwbfhlit
(iii)mitvyuhf(iv)mituhfisbgUwd.
8.1.5VaFirbfhlUfyf5X,10X,15XjilfkWrhtiw
bjhluhfbfhlxURWglidtiuf.
9.cU__________cUFiyiabfhlJ.cnyhffyitahMdfMF.Jmf
jilia____________cUFiyiabfhlJ.
10.fhQRWglijcWnehABFilnabjhFgajilfhf.
1. Electricity and Magnetism, by D.C Tayal Himalayam publishing house.
2. Sources of energy, by C. Walker, Modern curriculam press.
3. bghGJnghFbgsf -ah.bgbukhbrRA
Website : www.reprise.com, www.wikipedia.org
nkYmfmtjF
6.fhQtiuglVkWIbjhligfhLwJ.
glUJdGjntWghL0.8 VkW1.2VcsnghJV/I -kfvdthfUF.
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ndhlfhjisxaY
myF
17aa
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276
btisjhis tiugyifJgircjahbghUJf.
f jh ika rl fhjijitf.
f rlfhjijRYUJffist.jFciagagLjyh.
f nghJgyifiabkJthfjoml.
f ehfhgJvd?
bra17.1
afhjCkWrlfhjijvLJ bfhs ntL. rl
fhjij tiugyif ikabghUjgLs btisjhika itf ntL.btisjhis gyif bghUjgir bghUfis gagLjyh.fhj viyia tiuJbfhsntL.
fhj Cia rlfhjtlKidFmUitfntL.mJ vthW bragLwJ. fhjC bjKid rl fhjtlKidia neh wJ. fhjC tlKid rlfhjtlKidUJ y F. fhjC UKidf iyiaFJ bfhs ntL. fhjCiaaiyFefjntL.
nghJ mj bjKid Kj
bra17.2
bga : Xabl
w : 14.08.1777wjl : bynyblkh
kiw : 09.03.1851w: fhjl M
17.ndhlfhjisxaY
17.1.fhjyKfhjirnfhLfS
rl fhj mU bfhLbryglfhjCyfyiltJeh
mjnj. fhj C yf miltJV?
UJff jhkhf nkfltot mikabgW. J gl17.1 fhlgLsJ. V thWmikwJ. J ekF czJtJvd? fhj mjid Rsbt mj MfijbrYJ. vdnt UJff xUirF cgLjgL. ir
UJfffis Flto xUfikF. fhjijRY mj ir czugL gF
fhjy vdgL. UJffsh
xUfikfgL cUthF nfhLffhjirnfhLfvdgL.
gl17.1
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myF-17
ndhlfhjisxaY
tlKidlbgwiyiabgW.j braKiw gogoahf fhjC rlfhj bjKidiamiltiubraglntL.gl17.2. fhlgLsJ. fhjFfglsfisnghfhdtisnfhlh izf. Jfhj irnfhLfis FF.nkfl braKiwia L,L brJ awtiu mfnfhLf tiuantL. jnfhLf gl 17.3. fhosgomik. jnfhLf fhjij
Rs fhjyij FF.it fhj irnfhLf vdmiHfgLwJ. fhj irnfhLf tna fhj Cia
efJ nghJ mj yfiyft. JUtij beUf beUffhjCyfmfF.
gl17.2
gl17.3
fhjy vk irbfhl msthF. fhjyirahdJ mjD itfglfhj C tlKid efU
irahf bfhsgLtJ ku.tHfkhf ynfhLf fhjbjKid bjhl tlKidKotjhf fUjgL. J gl 17.3.fhlgLsJ. fhj cnsynfhLf bjKid bjltlKidKo.fhjynfhLf_oatisnfhLfshF.itxUnghJxiwbahWbtobfhshJ.
17.2.ndhl brY flahVgLfhjy
neuhd joj jhufiaRW gl 17.4. fhosgo XYfilnaizf.XYfiafhj jsF brFjhf
UFkhWmikfntL.
jhufFmUafhj
CiailklkhfitJCiyiaft.
rhia _o R tnandhlij brYj. fhjCiyVgLkhwij,yf iria ftf.fy thf izigkh ndhl iriakhw. fhj C yfiy
irVgLkhwijft.
bra17.3
gl17.4
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fy (12V), jilkh,
ml (0-5A
), rh kW lneuhd,jojjhufMatiwvLJbfhsntL.
jokdhd fia brtf tocs joj mil ikatna mj jsF brFjhfitfntL. mil nkY G
efuhk xnu l iyahfUFkhWbghUjglntL.
jhufia gl 17.5.( a)
csthW fy, rh, ml,jil kh tWl bjhluhfizf. mil J UJffis uhf t. (ciagagLjyh).
jil khia xU Fliy itJ ml fhLndhlmsitFf.
bra17.4
nkfhbra_ycnyhffltnaghndhlmjidRfhjyijcUthFvdmayh.ndhl xU ir gh
nghJ,(X
UJY
F) fhj CtlKid HF iria nehyF. ndhl virghjh (YUJ XF) fhj Cvir mjhtJ nkF irianeh yfyil. ndhlghtjhnjhWfhjyir,ndhliriarhjJvdmayh.
17.2.1.ndhlghneflahVgLfhjy
fl x tna ndhlghtjhnjhWfhjymikig
zgJvJ?ymikfltotij rhjjh? jfhdsfij tU bra _ybgwyh.
rhia _o f tnandhlijbrYj.XkWY filna izfgLsjhuf brFjhf csij
cW brJ bfhs. bkJthfmilia yKiw jl.
bghGJ UJffmikJs totij ghf.
Jff jhu fia RYbghJikatlfxUfikJbfhtij fhzyh. jid gl17.5.(b)fhzyh.
bghJika tlf vjidFwd? it fhj ir
nfhLfis FF. fhjyiria vthW mayh?tl nkYs P fhjCia itf. fhj Ciriaftf.fhjCtlKid fhL ir mfltna ndhl ghtjh PnjhW fhj irnfhoirahF. jid m xUmFLfhl.
neuhd jhu fl ghndhl ir vuhfkhaikfglh fhjirnfhLfirkhwkilwjhvdbrJghf.
gl17.5
jilkh
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myF-17
ndhlfhjisxaY
uL Jisf cila brtftot milia vLJ bfhsntL. Jisf tna mfRbwif bfhl tltotfRUis mil jsFbrFjhfbrYj.
fRU Kidfisfy, rh kW jil kh
tWl gl 17.6. fhosgobjhlizizf.
U Jffis milJ uhf t ntL. rhia
_lntL.
milia bkJthf yKiwjlntL. U JffvthW mikJsd vgijftf.
bra17.5ndhl gh jhufdUnf itfgl fhjC yf, ndhlms khwgL nghJ vdthwJ.
jid ma f tna ghndhlij khw. fhjC yfyil ms khWtijfhzyh. ndhl mfFnghJ fhj C yfYmfF. UJ fl xgh ndhl mfFnghJ xU mjdh VgLfhjy ms mfF
vgijmayh.ftnaghndhl khwhjnghJ mjWybfhL brygL fhjC yf vdthwJ?
jidfhz fhj CiandhlghfUJmfbjhiyYs itf.vd khwij czuyh? fhjC yf Fiwtij fhzyh.
ndhlghflahcUthFfhjy, mjW mfbjhiy Fiwtij fhzyh.gl 17.5.UJ ndhl ghflia R njhW fhjyijFFbghJikatlfflUJ y bry brybgajhtijfhzyh.
17.2.2.ndhlbrY
tlRUVgLfhjy.eh Jtiu ndhl gh
neflia R cUthFfhjy nfhLf mikigg fnwh. nyrhd fia tltisakhfkhmndhlijbrYdh fhjir nfhLfmikvthWUF?
ndhl gh neuhdfldh xU cUthFfhjy mj bjhiyit rhJmik mnjngh ndhl ghtl tisaij Rs xbthUY,fhjy,tltotkhf,mjW y bry brybgajhtij fhzyh. gl 17.7.fhf.
gl17.6
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tl RU ikaijbrwilnghJ j tisafnenfhlhfmik.ndhlghtisa ikaYs xbthU
Y nenfhL miklfhjy njhWfgL.tisaxbthU gF mjDxnu ir mikj fhjyijnjhWF.
ndhl gh fldh xU njhWfgL fhjyneuoahf ndhl tikiarhjJ n RWf bfhlfRU njhW fhjy xURdh VgL fhjyijnghnklFtikilajhF.xbthURW f RU tna ghndhlK xnu ir mik.vdntfhjytikmfkhF.
gl17.7.
17.3.fhjy itfglndhl brY flJVgLir.
ndhl gh fliaR fhjy njhW vgJ ehmjnj.thWnjhWfhjymjdUnf itfgl fhjJ iria brYJ. njnghfhjK ndhl gh flJ iria brYJ. bumayhs Ma nj nghfhjK, ndhl. gh flJiriabrYJvdTdh.
fhjyitfglndhlghfljhdiriagtUbra_ysfyh.
5 cm sKs mYajilvLJ bfhs ntL. xUjhUJ U ffcjah mjid ilklkhfgl 17.8. fhosgo
bjhfl.
nk neha irfhjyK, mYa jLfhj UKidfSilna
bra17.6
gl17.8.
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myF-17
ndhlfhjisxaY
mikkhW xU yhl fhjijitf. jbfd fhjbjKidia mYajoF nkyhf, tlKidianeHhfitf.
mYajondhlBUJA FbrYjgLwJ.
eh vd fhnwh?mYajLlgfnehyfyiltijfhzyh.
jo tna ndhliriakhmYajo
yfiy ftf. mJtygfnehyfyiltijfhzyh.
mYajLyfmiltJV?
nkfl braKiwndhl gh mYajL
fhjy itfglh mJiria czU vgJ bjthwJ.nkY czugLtJ ahbjndhl gh fl,ndhl ir khwglhir ir khwkilwJ.
nghJ y ir brFjhfneh mikkhW fhjKidfislkhwbrjhirir khwkiltij mayh.ndhl gh fl jhdir irahdJ ndhlir kW fhjy ir
tiw rhjJ. fltna gh ndhl irfhjyF brFjhfmiknghJirbgUkkhfUgijMffhLwd.
17.3.1~slif
fl gh ndhlK,fhj yK xWbfhWbrFjhfmiknghJflJ
bragL irahdJ muoFbrFjhd ir bragL.
t irfis va _ymayh.
gl17.9.
lif fil u, RLu,eLuMa_iwxWbfhWbrFjhf itf (gl 17.9.).RLu fhjy iria,
eLu ndhl iriaFjh filu fl aFiria FF. Jnt ~s
lifvdgL.
17.4nkhlh
nkhlh vgJ dhwiyvu Mwyhf khwToa RHYfUahF. J vthW ntiybrwJvgJbjkh?
nkhlh mik gl 17.10.fhlgLsJ. ABCD vwbrtftotfhlgljhufRU csJ. f RU AB, CDaf fhj yF brFjhfcsthW mj JUtfilnaitfgLsJ. f RUKidf S
1, S
2 vw sgl
fhjy
ndhl
bgUu-afir
ndhl
fhjy
ir
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tisafSl izfgLsJ.tisafcgFfhlgLmRl izfgoUF S
1, S
2
btwflJgufKiwna
B1, B2 vw flJ iffSlbjhlbfhoUF.
gl17.10.
fy ne thUJndhl if B
1 tna
fRUghJB2 tna v
thia mil. RU a ABndhlAUJBF,aCDndhl CUJ DF gh.(AB kW CD ndhl irvbuuhf mik ). fhj ycs ndhl gh fljhdiririama~s
lifiagagLjyh.RUa AB jhdirneh,aCD jhdirnknehUF.vjhfRHYtifmikfglmR fRUS lRahfRHY. Kj miu RHnghJtisaS
1. ifB
1clD,tisa
S2ifB
2clDbjhlbfhS.
RU ndhl DCBA irgh. R gh ndhliria khaikF fU
irkh vdgL. nkhlhsgl tisaf irkhahfbragL. ndhl irkhwgLnghJ AB, CD af
jhd ir ir khwkil.Kj neh jsgl aAB nghJ nkneh jsgL.KjnknehjsglaCD
nghJnehjsgL.vdntmR, RUS nkY miuRHiamnj ir nkbfhS. xbthUmiuRHF ndhlir khW. vdnt, mR RUSbjhlJ RHY. thg
Md nkhlhf 1) iyfhjF gyhf fhjfgagLjgL. 2) f RU mfRbwifiabfhoUF.
njU csfJ RURwgoUF. njU JLmj J fhlgl f RUS
izj mik RH vdgL. JnkhlhwidmfF.
17.5fhjl~ghunl 1831, xU f RUnshL
iz fhjgha khWbghGJm aF ir lgLvgij fljh. flF,fhj yF ilna rh
af UFtiu, flaF ir lgL vdfhodh. jifa aF
ir L aF ir vWf fhj l vWmiHfgL. L aFir fl xU ndhlijcUthF. ndhl Lndhl vdgL. fhjijgagLdhwiycUthFt~ghunl fLo xU arfhjijbjhlitjJ.
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myF-17
ndhlfhjisxaY
f mf Rbwif bfhlf RU ABI vLJbfhnth.
f gl17.11csthWfRUKidfis fhtdhlUl
izf.
f tYf fhj tlKid,fRU B KidiabeUFkhW efj.
fhtdhlmsLkhWtijfhfsh?
f fhtdhlFKfzneutygfkhf yfyiltijfhzyh. J RU ABndhlftijFF.fhj af w mnjfzndhlRahwJ.
bra17.7
17.5.1~ghunlM
ndhl gh flbahWfhjy itfglh mJxU irFgL vgij mnth.
ir flia af br.xU flahdJ fhjy
aFnghJ myJ iyahdfll iz fhjykhWnghJvdfG?jidmafhQbraKiwiabrayh.
f fhj tlKidia fRU UJ y efj.
bghGJ fhtdhlyf lgfneh UF.ndhlKdghjirFvirghtijfhzyh.
f f RUSF mUnf cs, fhj tlKid mjidnehathW iyahf itf.
nghJ fRUis fhjtlKidiabeUFkhWefj.fhtdhl fzneu FKtygfkhf yfyil. f
RU fhjij L yFkhWefjglh fhtdhlyflgfkhfmik.
f fhjij bghUJfRU iyahf UFnghJfhtdhl yf RahF.
j bra _y f vdKoFtUf?
gl17.11
nj nrhjidia bjKidfRUB KidmUnfcsthWitJ brjh ndhlir Kd fj irF vuhf
UF. fRUS, fhjKiyahf csnghJ ndhlftiy. fRUis rhJfhjaFnghJmlgl
aF ir, mjdhlglndhlKcUthF.
aF fhjF gyhf,ndhlghfRUisakhWglbraxiwbrnth.fRU tna gh ndhlijkhwaYvgijftf.
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f mfRbwif(50kW100) bfhl U jjahdjhu f RUfis fljhcUisJgl17.13csJnghbghUj.
f mf Rbwif (100)bfhl fRU-1 clfy, rh Mait bjhluhf
izfgLwJ. fRU 2fhtdhlUl gf izcsJ.
f rhia _o fhtdhliu
ghf. m VnjD yfVgLwjh? fhtdhlFK Obud xU w J RiyFUtijfhzyh.
J RU-2 fz neu ndhlghtijFF.
f RU-1UJ fyfgLnghJ FKfzneu yf vir
fG.mjhtJRU-2 fz neundhl ghtij FF.Mdh ndhl virgh.
bra17.8
gl17.12
bra RU-1 ghndhl R myJ khwh kigmilnghJ RU-2 yfVgLtiy. j MfUJ
RU-1 gh ndhl khwVgLnghbjyh RU-2 aFir,mjdhndhlKVgL.RU-1 KjikRUvdgL.RU-2 JizRUshF. Kjik RUgh ndhl khWnghJmjndhLbjhlila fhjgha khWgL mndhl lgL. Lndhl iria ~styif_ybgwyh.
tyif RLu, eLu,bgUu _iw xWbfhWneFjhf itf. RLufhjy iria, bgUufl aF iria Fjh,
eLu L ndhliriaFF.J~styifvdgL.
17.6a
fhj l jJtijgagL Lf kW bjhrhiyf gaghofhd rhujahfgLwJ. a vuMwdhwyhfkhwgLwJ.
a mik 17.13(m)gl fhlgLsJ.
iyfhj U KidfilnaRHY tif fhlgl brtf
tot f RU ABCD csJ.f RU Kidf S
1, S
2 vw
tisafSl izfgLsJ.tisaf cgF fhlgoUF. flJ jik bfhlB
1 kW B
2 iff Kiwna
S1, S
2 Mait cwkhf mRl
izfgoUF.fhjyD
RU-1 RU-2
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myF-17
ndhlfhjisxaY
gl17.13(m) gl17.13(M)
fRU w vua irdhRHwgL. iff kWKidwRWlizfgL.
tisafSl izJsmR fhjy RHwgLwJ.RUaAB nkyhf,CD Hhf
aFkhW RH ir miktjhf
bfhnth. fRU ABCDtyRahfRHY.~styifgo, lgl ndhla AB A UJ B F, aCD C UJ D Fgh.vdnt
lglndhlRUABCDir gh. RU RWfvif mfkhFnghJ mfndhl cUthF. bt R
if B1UJ B2F ndhlgh.
miuRHF a ABHhf, a CD nkyhf aF.vdnt lgl ndhlir U afY khwkil.RU ndhl DCBA irgh. bt R if
B2UJ B
1F gh. thW
xbthU miuRHF afndhlirkhW.
Fl fhy ilbt uhfmj iria kh bfhS.
tifahd ndhl khWirndhl ( AC) vdgL.
a khWir ndhlavdgL.
neir ndhlij (DC)cUthf eG tisafSFgyhf sgl tisa ir kh(gl17.13(M))gagLjgLwJ.xU
if vnghJ iyahf nknehaF aJlD, kbwhWneh aF aJlD
bjhL bfhoUF. vdnt,wR ndhl xnu irgh. tif a neirndhlavdgL.
wHyhkXlUJknwh lF widmDt neir ndhlijlkhWirndhlcfjjhF.
DCaACa
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f Jakhd miu nfhs totgsgsghd fuo xiwvLJbfhSf.
f cfKfijmjtisgu
ghUf.f gbjwjh?bgajhfth?iyajhfth?
f cf Kfij L MoiabkJthf mf bjhiyF
efJf. g vthWkhWwJ vgij TJftf.
bra17.9
17.7xa
eikRsygtifahdbghUfisehghnwh.UvbghUisghfKotiy.xUmiwiaxLtj_ymjDcsmidJbghUfisghfaY.vjdhghfaYwJvgijf
mfsh?gfNaxbghUfisghfekFcjwJ.xUbghUmjJGxiavbuhF.vbuhjxeffismilnghJ
ekhbghUfisghfaY.
xnahL bjhlila gy ajF ff csd. x nenfhLgmogilxvbuhj,xyfMaffisfwnth.
xvbuh
MoiangheFgsgsghfglguf mjJ G bgUghik
xiavbuhF.xvbuhfisfmf.mitahtd
1) gLnfhzK vbuhnfhzK rk.
2) gLf, vbuhf,gL vbuh jsFtiuagl brFJnfhL Maitxnujsmik.
f nfhsf js cgl
midJ jsfY VgLvbuhFbghUJtdMF.
nfhsfMof
f nghJ fuoia Unkfh braiy Fgu
brJ ghf. cf cUtvthWbjwJ?
f U guf njhWgfisxLf.
fuo gsgsghd tisguigxU nfhsf Moahf fUjyh.bgUghY eh gagLJtisguila Mof nfhsf Mof
vdgL. mj vbuhF gucnehnah myJ btnehnahtisJ fhzgL. c nehavbuhFtisgubfhlMofF Mof vdgL. btnehavbuhF tisguig bfhlMofFahofvdgL.tmikiggl17.4.fhzyh.
gl17.4
FMo FMo
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myF-17
ndhlfhjisxaY
f Faho vbuhF guNaid neh UFkhWifo.
f vbuhF xia mUitfgl fhj Hbra.
f fhjij KD DbkJthfefmjbghthd,Tikahd xU xGkhWbra.
f Moia, fhjij mnjiy y lfSFof. vd fwJ?vthW?
bra17.10
nghJ fuo cnehatisguVwjhHxUFMonghy,btneha tisgu Fahonghy bragLtij mayh. eh
nfhsf Mofisg nkY fgjFK mit bjhlghd y brhfbghUis s bfhtJ mta.nfhsf Mof ga thjf,bgUghYmitnagagLjgLtdMF.
nfhsf Mo vbuhFguikaMoikavdgL.mJ P vw vGjh FfgL.nfhsf Mo vbuhF gu,nfhs gFahF. Mo vjnfhsgFnah,mj nfhsikaMotisikavdgL.mJC vwvGjhFfgL.
nfhsf Mo vj nfhsgFnah mj Mu Mo tisMu vdgL. mJ R vw vGjhFfgL. nfhsf Mo, MoikakWtisikaMattna brY fgidahd nenfhLMoKjikmRvdgL.
nkY y Kakhd brafismatUbraiynkbfhnth.
fhj Kj if v.vjdhvwJ?
Moah Na x bghthf,Tikahd ms fhj
J FfgLwJ. Na gkhF. naFaho Kjik FakhF.Na xbrth njhW btgnkfhjij vLwJ. MoF,gFcsbjhiyFahonjhuhakhdFaukhF.gl17.15.(a) I ftf
gl.17.15.(a)
gl :17.15.(b)
Faho Kjik mRFizahf gy xff mjJ
Gwd. vbuh ffiscW ftf. mit midJMo Kjik m nkYs xU F. MoKjikFavdgL.
gl17.15(b)Ighf.FahoKjikmRFizahdgLffvthW vbuh bgWwd?
Koyhbjhiy
Koyh
bjhiy
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vbuh ff Kjik m nkYs xU UJ tUtJnghnjhW.FahoKjikFavdgL.mJF vwvGjhFfgL. nfhsf Mo Mo ikaF, mj Kjik FaFcs bjhiy mj Fa bjhiy (f) vd tiuaWfgL. nfhsf Mo
vbuhFgulxFJisvdgL.gl17.15bjhiyMN xFJisahF.nfhsfMotisMuF
(R), FabjhiyF (f) VnjDbjhlcsjh?aJisfbfhlnfhsfMofSFtisMuFauUklfhF. R = 2f
17.7.1.nfhsfMofxvbuh
nfhsfMofxvbuhtUyKiwfgonafG.
1) Faho Kjik mRF izahd gLff, vbuhFKjik Fa tna brY. Faho Kjik FaUJ
tilJtUtjhfnjhW.Jgl17.16(a) kW (b)fhlgLsJ.
( a ) ( b )
( a ) ( b )
2)FahoFatnabrYgLf,myJFahoFaijnehbrYjglxfvbuhFKjikmRFizahfbrY.gl17.17 (a) kW (b) fhf.
gl17.16
gl17.17
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myF-17
ndhlfhjisxaY
( a ) ( b )
3) FahotisikatnabrYxmyJFahotisikaijnehbrYjgLxvbuhFmnjghijUggL.gl17.18( a ) kW( b) fhf.
FahogfnjhWj:-nfhsf Mof vthW gf njhWwd? Faho bghU
btntW iyfSfhd g iyia vthW fltJ? gfbkahditahiykhakhditah?cUbgUfglitahiyaitah?myJbghUmsntcilaitah?
Fahogjik,iy,msMaitMoikaUJbghUiyiarhjJ. bghUyiyfSFgbkahdJ.yiyfSFkhakhdJ.bghUiyiarhJgbgajhfnth,ajhfnthmyJbghUmsntcilajhfnthUF.
nfhsfMofgfnjhWKiwnaehftiugl_ymayh.vbuhFmtiriavjhfmaaY.UffiskLfUJtJ ey. U vbuh ff bto bfhS g
UlkhF.gl17.19Ifhf.
gl17.18
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gl17.19
flaglcikfismltiz17.1fhf
bghUiy giy gms gjik
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myF-17
ndhlfhjisxaY
f Faho njhW bjhiycskuxgijcWnehF.
f kuKGcUtKbjwjh?
f nkfh braiy FahoiabfhL brJ gh. bghGJkuKGgKilwjh?
f flj cikiafhuzJl sf. bgaku KG cUtK aFaho njhWtijfhzyh.
bra17.11
flaglcikfmltiz17.2-bfhLfgLsJ.
bghUiy giy gms gjik
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FpLkuftUkhW:
1) bghU vnghJ MolgfkhfitfglntL.
2)KjikmRFizahmikjvyhmsfSMoikaUJmsfglntL.
3)MUJ x mneir (xx m tna)msfgL vyh msfSneFcilaJ.MUJx m vir (-x mtna)msfgLvyhmsfSvFcilaJ.
4)Kjik mRF brFjhf nkneh(-Y mRtna)msfgLvyh bjhiyfS neFcilaJ.
5)Kjik mRF brFjhfneh(- X mRtna)msfgLvyh bjhiyfS v FcilaJ. a fhOa FpLkufgl17.21.sfgLsJ.
FpL kuf MorkghLfisUtgagL.
MorkghL
nfhsf Mof MoikaFbghUF ilna cs bjhiy,bghU bjhiy ( u) vdgL.MoikaF gF ilnas bjhiy g bjhiy(v) vdgL. Mo ikaFKjik FaFilna cs
vLJfhL17.1
xU nkhlh thfd gagLjgLs Faho tis Mu3. mj Mo tna w 5bjhiy xUngUJtUwJvngU g bjhiy kWjikiafhf.
tisMuR=+3bghUbjhiyu=-5
1 1 1 + = v
u
f
myJ1 1 1
= v
f
u
1 1 1 1= = +
1.5
-5.00
1.5
5.00
5.00 +1.50 6.50= = 7.50 7.50
7.50V = = 1.15 m
6.50
g F MoF 1.15
bjhiycsJ.gkhag.
bjhiy Mo Fabjhiy(f) vgJ f mjnj. _WmsLfSilnaahd bjhligMo rkgho _y mayh.
MorkghL1/v + 1/u = 1/f.rkghLvyh nfhsf MofSF, bghUvyhiyfSFbghUJtdMF.fzFfSF fhQnghJ u,v, fkWtisMuRMatv kfis rkgho ula fhOa FpLfisgagLJtJmta.
bghUlgf
gLf
ir
lgf tygfbjhiy {-ve} bjhiy {+ve}
nknehacau {+ve}
nehacau{-ve}
gl17.21.Mo
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myF-17
ndhlfhjisxaY
17.7.2.xyf
x CLU ClfmJnenfho brtJngh njhW.x xU ClfUJ kbwhU
ClfD EiHnghJ vdfwJ? nghJ ne nfhonynabrwjhmyJmjirkhWwjh?mwhl th y mDgtfis
idTnth.
iwj bjho myJ Fsx mogu rW caJ
UgJngh njhW. mnjnghfhj mroj vGJfis
mjnk itfgl fzhoghs tna ghFnghJ, rWcaJ mUnf csJngh njhW.vjdh thW njhWwJ.fzho ghu cs gh _a iyYs bgiyghUwhah?fhWUrF mJ tisUgJnghnjhW. fzhoghuYs
D lgl vYrgH,
gfthoUJ nehFnghJcUt bgajhf njhW.nkTatfhdfhuzahJ?
ghas _ tisjJnghfhzgL bgiy fUJnth.
guF nk cs bggFUJ tU xfirnahL xl, D csbgUJtUxfir
khWgoUF.JntgubgtisUgjhf njhWtjfhdfhuz. nj fhuzdhjhfzhoghs}nl ghFnghJvGJf caJ fhzgLwJ.
FgyhfkbzbzmyJlgil gagLjglh bgmnj ms tisJ fhzgLkh?fzho ghsF gyhf x
CLUshoghsitfglhvGJf mnj ms caJfhzgLkh? is msClfij bghUJ khWgLtijfhzyh. x CLU xUClfUJ kbwhU ClfDbrYnghJ mj ir khW fxyf vdgL. fittUbra_yeFmayh.
uathmogFehzaxiwitf.
nkgu tnaxUwUJghitiabrYKj Ka ehzaijvLf Ka br. KabtKojjh?
braiy L brJ gh.xnu Ka V btailaKoaiy?
ijnacegfisbrJghf brh. c mDgtijmtfnshLgJbfh.
bra17.12
tna ehza njhwiy mj cik iyUJkhWgoUF.
17.7.3xyff
xU ClfUJ kbwhUClfD x brYnghJ mjntf khWgLtnj xyffhuzkhF. x yf yfSFgLftijnrhjidfcWgL csd. x yfftUtd.
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(m)gLf, yFf gLmUClffrFguFtiuagl brFJnfhLMaitxnujsmik.
(M)x Fl tzij,Fl ClffisbghUjtiu gLnfhzirDF, yFnfhzirDF cs jf khahF.
JbevdgL. i vgJgLnfhz,r vgJyFnfhzvSin i / Sin r =kh.khk Kj Clfij rhj
ulhtJ Clf xyfvvdgL.
17.7.3.xyfv
x CLU xU ClfUJkbwhU ClfD brYnghJyfyil vgij eh mnth.yfyilmsmUClffKj Clfij rhj ulhtJClf xyf vzh
mslgL.xyfvbtntWClff mj irntfnjhLbjhlilaJ. x btl3 x 108 ms-1vwbgUkirntfbrY. fzho mj ntffrkhfFiw.
gl 17.22. fhlgLsJnghClf 1 UJ Clf 2D brYxfiu fUJnth. I, r vgdgLnfhz kW yF nfhzf
v Kj Clfij rhJulhtJClfxyfv
sin i
sin r =
fhxirntf
Clfxirntf=
gl17.22.
17.7.5nfhsfbyRfxyf
nfhsfbyRfgogjF ffzho cgnah
gtfisfghUf.fofhugGJghgtf mj fa ghffis cUbgUghf byRfisgagLJwd.byRfguigc ifah bjhLghjJlh?mj gu rkjskh? myJtisjjh?ffzhogagLfzho, fofhu gGJ ghgt
gagLJ fzho byRfhdvLJfhLfshF.
by vgJ ahJ? vthWmJ xia yfyila brwJvgij gF thngh.
uL gufilna mikjx CLUtjf Clf byvdgL. U guf xnwhmyJ uLnkh nfhsfgughf
UF. xU nfhsfguila
by kbwhW rkjs. UwKbtneh ilJs gufisbfhl by UwFby.bghJthf Fby vdgL. mJika joJ Xuf bkJfhzgL. Fby mjJG xia Fa brtjhnyna
thW miHfgLwJ. UwFby UgufS cneh
Clf-1
(fhW)
Clf-2
(fzho)
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myF-17
ndhlfhjisxaY
tisJ fhzgL. it mjJG xffis tilabrtjh F by vdgL.
UwFby RUfkhf
FbyvdmiHfgL.nfhsf byRfnshL bjhlila
y brhfis mJ bfhnth. xUbyUnfhsfgufiscilaJ.xbthU gu xU nfhsgFahF. nfhsf ikafby tis ikaf vdgL.
J bghJthf C vw vGjhFfgL. U tis ikafcsjh mtiw C
1 kW C
2
vdFnwh.by tis ikafis
izF fgidahd nenfhLmjKjikmRvdgL.
by ika xikavdgL. mJ O vw vGjhFfgL. tna brYxf yf miltiy.tltot by l mjxJiH vdgL. by
xJiH l j MuJlxl ajhdh mit bkabyRf vdgL. nkabyJizffGnghJvdfwJ?
vrif: by tnaneuoahf Naid ghfTlhJ.VndcffghfTL.
xU Fbyir Naid nehcxUifaho.NaxiaxUfhjF.Tikahd,bghthdNagijcUthF.bykW fhj iyia khwhkJ neu itU. fhjijTJft.vdfwJ?V?
bra17.13
Na xff izffshF. ff bydhFfgL Tikahd kWbghthd x njhW.
J Na bkgkhF. Naxffbrdhmbtg njhW. J fhjijvL.gl17.23.(a)I ft.
gl17.23.(a)
by xa mRFizahf.gyxffGwd.ffbyxyfmilj Kjik m nkYs xU F. by
Kjik Fa vdgL. gl 17.23.(b)Ift.
gl17.23.(b)gy xff Kjik mRF
izahfFbyJGwd.by yfyilj Kjikm nkYs xU UJtilJ tUtJngh njhW.
FbyKjikFavdgL. Jnghw izff
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by vgfUJGkhdh mj kWgf nkYxUKjik Fa ilF.bghJthf by Kjik Fa
F vw vGjh FfgL. byuL KjikFafisbgWsjh mit F
1, F
2 vd
FfgL.
by x ikaUJ mjKjik Fa tiuahd bjhiymjFabjhiyvdgL.FabjhiyfvwvGjhFfgL.
17.7.5.byRf gf
njhWjftiugl _y byRf
gf njhWtij sfyh.nkY g jik, iy,Matiw mayh. byRfftiugltiuatUffVnjDuilfUjyh.
(m) bghUUJ tU KjikmRF izahd xf
yfyilj FbykWgf Kjik Fatna brY. [gl 17.24(a)]. MdhFby mnj gfYs mjKjik FaUJ tilJtUtjhfnjhW[gl17.24.(b)].
gl17.24.(a)
gl17.24.(b)
(M) Fby KjikFa tna brY gLfyfyilj mj KjikmRF izahf btgL [gl
17.25(a)]. Fby KjikFaUJ tUtjhf njhWxf yfyilj KjikmRF izahf btgL. [gl17.25(b)].
gl17.25(a)
gl17.25(b)
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myF-17
ndhlfhjisxaY
a b
c d
e f
C1
()byxikatnabrYxfyfyilahkbrY.
gl17.26(a) gl17.26(b)
gl17.27
bghU y iyfSfhd g iyia fltjfhdftiuglfgl17.27.fhlgLsJ.
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flaglcikfmltiz17.3.bfhLfgLsJ.
bghUiy giybghUisrhJ
gms
g
jik
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myF-17
ndhlfhjisxaY
nfhsfbyRfhdFpLkuf
vyh msfS byxikaUJmsfglntL.kugoFbyFabjhiy
neFilaJ. Fby Fabjhiy vFilaJ. u, v, f,bghU cau h, g cauh1 Matfhd FpL kufftdbfhsglntL.
17.7.6byrkghL
rkghL bghU bjhiy (u),gbjhiy(v),Fabjhiy(f) tilnaahd bjhlid
jU.
1/v + 1/u = 1/f vgJ byrkghlhF.
rkghL bghU vyhiyfSF, vyh tifahdbyRfSFbghUJ.
vLJfhL17.2
xU Fby Fau 15br.
byUJ10brbjhiygclhfbghUbyUJvts
bjhiyitfglntL.
:
v = -10br. f = -15br.
u = ?
1/v - 1/u= 1/f myJ1/u= 1/v- 1/f
1/u= 1/-10- 1/-15
1/u= -3+2/ 30 = -1/30u = -30br.
vdnt,byUJbghUbjhiy30 br.
cUbgUf
g msF bghUmsF cs jf bycUbgUfvdgL.
cUbgUf m vw vGjhFfgL. h vgJ bghUcau h1vgJgcauvbycUbgUf
h1
h
v
u
gcau
bghUcaum = = =
vLJfhL17.3
15 br Fa uKs
FahoUJ 30 br bjhiy
bghUis itFnghJ byUJ
10br bjhiy neuhd khag
ilwJ v cUbgUf wfhf.
:
u = - 30br. v = -10br.
u = ?
cUbgUf
m =v / u = - 10 / -30 = 1/3
m =+0.33
17.7.7bywxFfgLmyJfgL
ms by wdh FfgL.by Fabjhiy jiymj w vd tiuaWfgL.mJ p vw vGjh FfgL.Fabjhiy f bfhl byw
P = 1/f
by w S.I. myFilahl. J D vw vGjhFfgL. Fa bjhiy lFfgl ntoaJ mta. xUl Fabjhiyila byw 1 ilahl MF. Fbyw neFilaJ. FbywvFcilaJ.
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tiugyif nkFiagagL btisjhxiwbghUj.
KnfhzmoguJFtif fzho Kglfijitf. glf viynfhilbgyhtiua.
xyF gu ABFrhthf PE vw nenfhL
tiua.xyFguABFrhthfPE
vwnenfhLtiua.
gl 17.19. csJngh PEnfhonkP, QvwF^fisbghUj.
P, QF^fgfiskW
bra17.15
vLJfhL17.4
xUFbyFau2v
bywfhf.:
byFau f = -2
byw p =1/ f =1/-2
=-0.5ilahl
17.7.8.Kglf tna xyf
fzhoahyhd Kglfxiw fUJnth. mj UKnfhz tot mogufis,
_W brtftot gfgufisbfhlJ.gfgufxWbfhWFl nfhz rhUF.gf gufilnaahd nfhzKglf nfhz vdgL.fzho Kglf tnaxyf g fwa tUbraiybrnth.
PE vgJ gLf, EF vgJyFf. FS vgJ f MF.xyFguABtnaxUxffhUJfzhoDEiHtijfhzyh. nghJ fzhoDxf brFJ nfhil nehyfyil. ulhtJ gu ACxf fzhoUJ fh
gl17.29.
guAC tna ghf.
P, Q F^f gfmilahskhf R, S vw fxnu nenfho mikkhW UF^fisbghUj.
fzho Kglfij,F^fismfw.
PE vw nfhL KglfguigE rF (gl 17.29.) nj nghR, S fis izF nfhLFrF.E, Ffisizf.
xyF guf AB kW
ACF Kiwna E, F f tnabrFJnfhLtiua.
gl 17.29. fhlgLsJnghgLnfhz ( i), yFnfhz( r), Lnfhz ( e) MatiwFf.
PE - gLf i - gLnfhz
EF - yFf r - yFnfhz
FS - f e - nfhz
A - Kglfnfhz D - irkhwnfhz
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myF-17
ndhlfhjisxaY
btgL.vdntxfbrFJnfhil L y brY.KglfxbthUxyFguY cUthF gLnfhz kW
yFnfhzfis xl.Kglftotfhuzkhff,
gLf irUJ Flnfhz yUF. nfhzirkhwnfhzvdgL.Fr vgJ yF nfhzij FF.
bra irkhw nfhzijFJ d msf.
17.7.10Kglfxwif
f fiz ftU thd tzfis ghJ kUf.mNabtbshvthWgntWtzfisjUwJ.
jokdhdmilxiwvLJmjikaaJisl.
Na xia mJis nk H bra. Jis btbsh
izfiwiacUthF.KglfxiwvLJbfhs.JistnatUxfiwia
xUxyFguJHbra.
KglfUJ bttU x mUnf cs iu njhW tiu,bkJthfKglfijRHw.
vdfhf?fwfmHabjhFigfhzyh.JVVgLwJ?
Kglf mj J G btbsh mls gntWtzfis ifaila brwJ. wbjhF U viyfY
njhWtzfisft.fghFwftirvd?gl17.30. csJngh Cjh, fUy, y, gir, kr, MuR, t vwtirwfisfhzyh.
bra17.16
btbshfhiw
V
ROYGBIfzho
Kglf
gl17.30.
wf tiria idbfhs VIBGYOR vw FWbrhcj wf bjhF
wkhiy vdgL. eh vyhtzfis jjahffhzKoahJ. MdhY wfntWghil fhzyh. TLxYs gntW tzfjjahffwifvdgL.
Kglf x btbshmj VG tzfshf wifmiltij ghUf. eh vgo
wfis bgUnwh? Kglf
x tna x brYnghJ,btntW wKila xffbtntW nfhz ms yfyil.t tz x fFiwjms, Cjh tz x f mfms yfyil. btntW
wKila x btntW ghijf
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iu
gofby
Kfur
fghit
I
fhah
ajirf
ghiteu
fur
KglfW bttU.vdnt tzf jjahfbjthfbj.
17.7.10tklyxyfbeUUJ nkYaW
btgfh tna bghUbshiwghjhmJjhWkhwhfmiyWtjhfnjhW.beUFmUnfcsfhWmjFrWnkYsfhiwlmfbtgiy UF. Nlhd fhWmjF nkYs Fj fhiw lnyrhdjhf ml Fiwthdjhf
UF.mjxyfvFj
fh xyf vizlrW Fiwthf UF. xyFClf (fhW) agf
iyaW khWgLtjh btgfhtna ghfgL bghU iykhkhnjhW. bghU iykh fhzgLtj fhuz. amsyhd tkly xyfyhF.f Dj bgamsyhd tkly xyfyh
njhWtjhF.
17.7.11kjf
kjfffkfkW Egkhd cz cWghF. J
eik Rs tz tzcyiffhz brwJ. ekJ czcWfS f KakhdJ ffMF.
kjf xU xgl fUianghwjhF. j by mikiu vdgL. J x cziu J gij VgLJwJ.xfhahvdgLbtglytahf f EiHwJ. Jgl 17.31. fhlgLsJnghnfhs K gu xCLUiligVgLJwJ.
nfhs VwjhH 2.3 br
lKila nfhstot mikigbfhlJ. f EiHxff bgUghyhd yffhah gu btgFnyna
fwJ.bghUfbjhiynfggofbyFabjhiyitEgkhfr brJ mtiw iuFF.fhahFdhIvdgL mik csJ. I vgJf ghitia fLgLJw
Ul jirglykhF. f ghitf EiHw x msitfLgL xGFgLJwJ.by iu J bghUjiyHhdbkgijnjhWFmf vif bfhl x czbrfisila bkikahd glyiu MF. x cz brfjhd xjyh Lj milJiriffis clhFwJ. j
iriff ghit euf tahf_isF mDggLwd. _isiriff bghUSzJ ehfhQ bghUis csthnw czJbfhwJ.
ghitFiwghLrbrjY
Kakhd _W bghJthdghitFiwghLfcsd.mitf
gl17.31.
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myF-17
ndhlfhjisxaY
(a)ughit-mUcs
(b)ughitFiwghLsf
(c)ughitiarbrj
(a) lghit-bjhiy
(b) lghitFiwghLsf
(c) lghitiarbrj
gl.17.32
1. lghit
2. ughit
3. VgikwFiwghL
1.lghit iknahah vgJ lghit
vdgL. FiwghLs xUtmUcsbghUfisbjthfghf Ko. bjhiy csbghUfis bjthfghfKoahJ. FiwghLila xUtnrik KoF Kghf
UF. mjifa xUt y ltiubjthfghfyh.lghit
cilatfbjhiybghUg iuF KghfntnjhWfgLwJ. iunjhWfgLtiy.
FiwghL njhWtjfhdfhuzf
1.bymfgoahdtis
2.nfhstJ
Fiwghil jFj wDilaFbyircgnahJrbrayh.gl 17.32.(a) J sfgLsJ.
jFj wDila Fby gijL iuF bfhLtU.
thWFiwghLrbragLwJ.
ughit
iAgbknuhah vgJughitvdgL.ughitilaxUt bjhiy cs bghUffsbjthffhzaY.mikYsbghUfisbjthffhzKoahJ.xUt mik aghdmikF (25br) mfkhf
Ujh mt trahf gogjFj ff UJ 25brF
mgh itfglntL. VbdmUYs bghUUJ tUxff iuFdhFagLjgLwJ. J 17.33(b)fhlgLsJ.
Fiwghofhdfhuzf
by FabjhiyoUj nfhs ajhtJ.jFj wDila Fbyir
gagLFiwia r brayh.J gl 17.33(c) sfgLsJ.
gl.17.33
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jFj Fby cila ffzhoia gagL gijrahfiuFfyh.
VgikwFiwghL
tHfkhf f irgLJw tajhF nghJ FiwwJ.bgUghyhndhF mikgogoahf ybrY. mtfrahdffzhoyhkmUcs bghUfis bjthftrahfghgJuk.FiwghLuignahah vdgL. gogoahfby tis jik FiwtJ
kW ajirf gydkiltJnghwitna jF fhuz. yneuf xUt lghit,
ughitulhYghfglyh.mjifatfSF UFafzhof njitgLwJ.
UFa fzho rhjhuztif, Fby kW Fby
uil cslaJ.Fbyrh Mfgl nkgF
mikbghUfis fhz,Fbyrh Md gF nrikbghUfisfhzcj.fcbghUJ byRfis bfhLjfhy xyf FiwghLfisrbrtJrhakhdjhF.
17.7.12. iwa ma -Athbjhiyneh
A bjhiyneh xU th
bjhiy nehahF. 1990M MLVukhjfyxcjahmj RWghij brYjglJ.v A vw mbkfthdhthsbgajFNlglJ.
J tha Muhfhdfugykhd fUahF. Jmbkfh ehrh kW Inuha
btika MatTLKaah VtgljhF. nkY,
J ehrh bt ffhikaffbgaxwhF.
nyna guhkgfisnkbfhStiftotikfglxnu bjhiyneh A thbjhiynehahF. bga gubjthdgij cUthfty U
tisa Mof bghUjgL JtotikfgLsJ. bjhiy nehVtgL nghJ mj braghilghF tif Mof rahfbghUjhkUjJ flaglJ.1993M ML gGJgh
FGduh Mof rahfbghUjgL bjhiyneh mjKGikahd braghL iyFbfhL tuglJ. 1993M ML
Kj2002MMLtiuehFKiwguhkgf nkbfhsglJ.bjhiyneh2014MMLtiubragLvdvghfgLwJ.
gl17.34.
tklyF btnaRtUtjh bjhiyneh yxawfJakhdglfisekFmftyJ.Abjhiyneh
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myF-17
ndhlfhjisxaY
Myglf ml lbjhiy bghUfis ga
Jtiu bgwglhj bjthdfQW xglfshF. A
MyglfS MyglfS wf a fzfhdxahLf bjhiy UgijbtgLJwd.
AMfmltiljijJakhffzLsd.AkhkigmltaijfJsd.
gy whLfSF xU Kiwna
fG eg ayhj ahH kWth nkhjYfhd afaM, nfhf A glfKaJtthjitahF.
A th bjhiynehahnkbfhsgl MfgoikafUJisf (black holes) vyhuf ikafSFbghJthdjhF.
bjhiyYs ngbuh K(Supernovae) ga M fSFbt Mthsf bjhiynehiagagLJwd.
kLgF-m
1.MocUthFcUtbgUf1/3v,mjMotif
(F,F,rkjs)
2.xU fRUnshL bjhlila fhjgha khW nghbjyh mR aF ir
cUthFf-------
(fhjl,ndhlcUthj,dGjcUthj,ndhlkhwgLj)
3.cnyhfflghndhlmjidR------IcUthF.
(btg,x,fhjy,vuir)
4.ghitybgUkmsthfmiktJ.
(rkjsMo,FMo,FMo)
5.10br..FauKsFbyUJ25br..bjhiybghUitfgLwJ.g
bjhiy-------.
(50br..,16.66br..,6.66br..,10br..)
gF-M
1.UTndhlirkhFbghUJtJ.
m)fhtdhlmjmiyyhiyFirkhiagagLbfhS.
M)khdGjijcaJtjFirkhiagagLbfhS.
)nkhlhndhliriakhirkhiagagLbfhS.
2.nfhollfisug.
m)nkhlh:-iyfhj,thgyhdnkhlh-------.
M)Fabjhiy:-l,w------
3.tUthaiHfUUj.
m)fhjyvkkLbfhlms.
M)fhjirnfhLffhjbjKidbjhltlKidKo.
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306
4.flbahtnaxUirndhlghnghJfhjCtlKidHFneh
yfmilwJ.ndhlvirghnghJnkFnehyfyilwJ.jW
mtijTW.
5.tUftiuglFahognjhWtijFF.
m)mYsjtiwfL,rahdftiugltiua.M)cUjfhdsfju.
6.nghFtuJ fLghL sFf ------ wsF gagLjgLtjfhuz mj
------miys.
7.milFcsrahdbrhfisbfhLmltiziauf.
g bgag
wcsto neuhdg
(FMo,rkjsFMo,FMo,rkjsMo,FbyR,FbyR)
8.fltiwFFfghffisvGJf.
m)fghitiafLgLJUljirgly------
M)fbghUgclhFgu-------
9.iknahah vgJ f xyf VgL lghit FiwghL MF. jFiwstf mUYs bghUfis bjthf ghfyh. rahd wDs FbyR
bfhLFiwiarbrayh.
m)njtifahdntWuLtifFiwghLfisFLf.
M)mtiwrbrjijczJf.
10.m)flglvjfhjCfhjyiriarahffhLwJ.
M)thaMthsxUtUFthdCjhFgyhfULfhzgLwJfhuzjUf.
gF-
1.(i)flghffisglFf.
m)gLf,M)yFf,)f,
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myF-17
ndhlfhjisxaY
nkYmfmtjF
jf
1. Fundamentals of optics by D.R. Khanna and H.R. Gulati R.Chand & Co
2. Magnetism byJoy Frisch - Schnoll published by Creative Eduction.
3. Advanced physics by Keith Gibbs Cambridge University press
4. Haliday Resnick walker fundamentals of physics 7th Editionizajsf
http://www.www.physics about.com
http://www.opticalsres.com
http://www.newdn.com
http://www.arvindguptatoys.com
(ii)ituxyfv2.42.xirntfijbghWJbrhbwhlbghUahJ?
m)nknycsglijLtiuf.
M)glFLtJ------.
)glKakhdghffisFf
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ghll&brKiw
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brKiw
ghll
1.gaghLca
kukWgzhk-khWghLfghuga-gzhk-dkhj-kjgzhk-gzhkku-
kubgha-cbjh-Ega-Fnsh-_ybr-(blbr)cWuikj-EQbgUf-jbruj-ccz-iwamakugQkUJt
2.cleykWMnuha
nehjilfhkly-cleyKmjKaJtK-nehmjfhufS-EQnehf-jLeltoiff-nehgutf-nehjLghwnjhWj-kUJtkWjLKiwf-kUJtc bjhEg-vIjL
3.vdJcl kjclcWklyfmikkWbraghLf-eukly-ehsyh Ruf -br -ahiy
4.jhtufcyf
jhtufdbgUf - dbgUfKiwf -jhtu-ghyhkWghdbgUf-kfujnrif-fUWj- f,ijcUthj-ijguj
5.yFf
cyf
ghof - w mika - thl - jftikf -
cl af braghLf - kj uj RH kly-kjffkly-mikFbraghoFilnasbjhl-yFfelijf-elijf- r_f dbgUf, bgnwh guhk - yFfelijfhdjahrhWf
6.thifafbraghLf
thif af braf - tiuaiw -czl tiff - Rthj - jhtu, jhJf fljgLj, yF uj Xlkly-jhtuf,yFfffkly-
eukly-jhtufxUiz-tskWaf-yFfAhnkhf
7.RWwNiya
RW NH ghJfh - c ijtil kW cijtilah ff (kF, kfhj) - nkyhik -td yF flf- Niy kly rkiyyfmyJbgnuha-gRiknta-iwama-,uhkMj
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8.Niyaaiftsfisguhkj
fnkyhik-gaz(RH)-f-fRf-LffnkyhikKiwf-JukW nehf-fbtnaWjkhWtf-bghJlfJu-Mwnkyhik-MwfzL
(L,g)-kurhtsf(Na,iAu#fhW)-kurhtsf(f,bgnuha,aifth)-cvbghUfcUthf-gagLJjMwnkyhik-egF
9.gUbghU fiurf-fiugh,fiubghU-fiurftiff-fiuw-fiuwidghFfhuf-fzLf
10.mQmik mQf kW _yTWf - ed mQbfhif -mtfhnuh-mQfLv-Mmlf_YTWvilFcsbjhl-mQkW_YTFilnaahdntWghL-xmQiw-x_yTWiw-nkhbfhif
-nkhbfhif-nkhtiuaiw-nkhfzL
11. ntakhwfkWntidf
ntidf - ntidftiff - ntididntf-ntidfntfijghFfhuf-- myf - myf tiff - myf ntgf - myf gaf - fhuf - fhuftiff-fhufntgf -fhufgaf-myfkWfhufisflj-pHmsL-pHfhjmwhlthpH-KaJt-cf-cftiff-cfgaf
12.ntFLg jkf Mtjd tifghL - ed Mtjd - ed Mtjd mltiz - ed Mtjdmltiz w gf - cnyhfa -mKf - - cnyhfa gagL fiybrhf -fkfSF jhJfSF cs ntWghLf-cnyhff_yf-mYa,jhuUtiwga cnyhfa - U ga cnyhfa -cnyhffyitf - cnyhf fyitfis cUthF Kiwf -mYa,jhuUtcnyhffyitf-cnyhfmkhd-cnyhfmkhdijjLFKiwf
13.ajFcyf fhgDmjnrkfS-mKf-fhgnrkf- fk ntaiy ga jfhy sf - fhg mjnrkf cs izf - fhg w ntWiktotf - fhg kW mj nrkf agf- fhg kW mj nrkf nt gf -gotirf - iAnuh fhgfS mt tiffS- idbra bjhFf - idbra bjhFfmogiltifghL-vjdh-vjdhmy
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brKiw
14.gUbghUkWmsL
UFms-lbjhiyfismsj-thabjhiy-xML
15.irkW
af
ir kW af f - rkkhd kW rkkw
irf - affhd Kj - iykkW iw - cj - affhd ulh - ir rkghL - affhd _wh - cj khwhnfhghL %j - irUw kW uil -
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dhjhtotikgjhtFma(fUa)
neu: 2 k bkhjkbg: 75
dhjhtotikkbgfxJL
m.MwbtgLjxJL
t.v tiff kbg %
1 mj 17 15
2 j 52 45
3 gaghL 35 30
4 w 11 10
bkhj 115 100
F
(1)njbjLjtifianrJbkhjkbgf115.
(2)dhjh jahj nghJ 5 tiukbgf mso khWghLfUfyh.
M.gtifdhtiffkbgmsLj
t.v
dhtiff
XbthU
dhfSfhd
kbg
f
dhf
bkhj
v
if
ila
f
nto
a
dhf
v
if
bkhj
kbg
f
1
mbjtifdh
1 15 15 15x 1=15
2M
FWdh2 30* 20
20x2 = 40
3
M**Wdh 5 8 4 4 x 5 = 20
bkhj 53 39 75
XbthU dhfS 2 myJ 3 fshf fgL 1, 2, 3 kbgftHfglntL.jhtua,ya,nta,aagFfdhfmikantL.(mnjnjbjLj/VnjDmyJxUtifUfyh.)
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brKiw
*M-FWdhfghFghL
t.v FWdhtiffilafntoait
1 bghUJj 3
2jtWfisRLjthaYsiHfisUJf
3
3 fhuzTWjYcWgLJjY 3
4 dhfisvgj 3
5 bfhLfgLsglghffisFj 3
6bfhLfglglijjahftiuJghffisFj
3
7 fzLkigmj(fhQj) 3
8nfhollfisuf(bfhLfgl
izfUJ)3
9 bfhLfglNHUJilaj 3
10 rahdilianjbjLJvGJj 3
bkhjdhf 30
ilafntoadhf 20
.cajiknfgdhfxJL
t. v cajiknfgdhfislLj
% GfhL
1 vikahdJ 50
2 RkhudJ 40
3 fodkhdJ 10
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brKiw
t
iul
Unit
No.
myFjiy
rhj
ghl
Knowledge
Understanding
Applic
ation
Skill
T
otal
N
o.of
Que
stions
Total
Marks
OT
SA
LA
OT
SA
LA
OT
SA
LA
OT
SA
LA
1
kugzhkK
Zoo
1(1)
1(2)
1(5)
3
8
2
nehjilfh
kly
Zoo
1(1)
1(5)
1(2)
3
8
3
kjclcW
klyfmik
kWbraghLf
Zoo
1(2)
1(2)
1(2)
3
6
4
jhtuf
dbgUf
Bot
1(1)
1(5)
1(2)
3
8
5
ghof
Zoo
1(2)
1(2)
1(2)
3
6
6
thifaf
braf
Bot&
Zoo
1(1)
1(2)
2
3
7
RWNHghJfh
Bot
1(1)
1(5)
1(2)
3
8
8
fnkyhik
Bot
2(2)
1(2)
3
6
9
fiurf
Che
1(1)
1(2)
1(2)
3
5
10
mQfS
_yTWfS
Che
1(5)
1(2)
2
7
11
ntidf
Che
1(2)
1(1)
1(2)
3
5
12
jkfMtjd
tifghL
Che
1(1)
1(1)
1(2)
1(2)
4
6
13
fhgDmj
nrkfS
Che
1(1)
1(5)
1(2)
3
8
14
msLfUf
Phy
-
-
15
iraf
fS
Phy
1(2)
1(2)
1(5)
1(1)
4
10
16
ndhlaY
MwY
Phy
1(2)
1(1)
1(2)
1(1)
1(2)
5
8
17
ndhlfhj
is
Phy
1(1)
1(2)
1(1)
1(2)
1(5)
1(2)
6
13
bkhj
4(4)
4(8)
1(5)
8(8)
12(24)
4(20)
2(2)
9(18
)
3(15)
1(1)
5(10)
-
53
115
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316
brKiw
bghUslf
cma
I.ya
1. czfiurlhcsjhvgijmnahoM_yflj.
2. kjjaJoignflj.
3. kjclbtgiyiaflj.
4. clgUkFpL(BMI)fzLj.
II.jhtua
5. cq ilF kyf kfuj jh kW Nyf tlijbjLj.
6. ffis tifgL, fnjhiy jJJ,fnjhjik kWcQgFiaflj.
7. Nmikigmj.
8. fhyhRthr(behjiy)%j.
ama
III. nta
9. pH jhbfhLbfhLfglfiurf pHkigmj.
10. bfhLlfgLsfiurmykhmyJfhukhvgijflj.
11. cikfiur,Tkfiur,bjhfftiwjhahj.
12. ntj idahdJ bfhidah myJ btg c idah vgijflj.
IV. aa
13. UFmsfagkhzKsbghUfgkhzfismsj.
14. fRUjilfhz.
15. fhjygltiuj.
16. FbyFaufhz.
F:MKo,fljiyneuoahfbfhLfgLsmltizFf.
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brKiw
cz fiur lh csjh vgij mnaho M _yflf.
nehf:
bfhLfglkhfiurf A, B-lhcsJvgijmnahoM_yflj.
njitahdit:
MFHh,mnahofiur.
brKiw:
bfhLfglkhfiurfA, B-ia1..msjjahfvLJbfhsntL.
xU J mnaho fiuriy j M FHhf L eF fyfntLwkhwijftJmltizgLjntL.
F:
lhcsfiurfUywkhfkhW.
mltiz:
t. v. czfiur fhgd lhcsJ/iy
1. A
2. B
Ko:
lhcsczfiur,_______________MFHhcsJ.
nrhjidv:1 nj:
ya
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nrhjidv:2 nj:
ya
kjjaJoignflj
nehf:
kjjaJoig,blnjhnfhfU_ynflJfzLbrj.
njitahdit:
blnjhnfh,WJfofhu.
brKiw:
blnjhnfh fU bfhL ja Joig fla ja xfshdylxfisnflJbfhs.
xU l VgL ja Joig mj ja x _y flJmltizgbrf.
t.v. MbragLgtbgajaJo
vif/l
1.
2.
3.
4.
5.
ruhr
fLczjJ:
rhjhuzNHruhrahfxUlFkjjaJovif_______________
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brKiw
kjclbtgiyiafljnehf:
kj cl btg iyia kUJt cl btg khia gagLflj.
njitahdit:
kUJtclbtgkh,Mtfbtgkh.
brKiw:
miw btgiyia, Mtf btgkh bfhL flJ bfhs
ntL. kUJtclbtgkhia,jeRjilfbghUfyjgdh
ikgLbfhsntL.kUJtclbtgkhiaehFKiwcjbfhsntL.
kUJt cl btg khia Mf mF gFY, bgfKHifkoYxUlitJ,clbtgiyiaflJbfhsntL.
nj Kiw miwF btna mnj kj cl btgKiwiaflJbfhsntL.
nj Kiw FiwjJ _W egf cl btgiyia flJmltizgLj.
t.v.
nrhjid clbtgiy
miwbtgiy
C = F 32 x 5 / 9
1. miwFcns
miwFbtna
2. miwFcns
miwFbtna
3. miwFcnsmiwFbtna
fLczjJ:
rhjhud cl Niy kj cl btg iy vnghJ_______________0FmyJ_______________0C MfcsJ.
kjclbtgiyntWglNiyfkhWgLsJ/xnukhcsJ.
nrhjidv:3 nj:
ya
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nrhjidv:4 nj:
ya
clgUkFpL(BMI)fzLjnehf:
tFkhztxUtclgUkFplhd(BMI)fzLmj.
njitahdit:
vilfU,cauijmslmsehlh.
brKiw:
tFkhztxUtclviliavilfU_y..-flJbfhsntL.
mnjkhztcauijmsehlh_yfzLmij2MfkhbfhsntL.
BMIflacjNukhd
vil(..)
BMI = -------------------
cau 2
gagLBMI vizflantL.F:
BMI19-25,rhjhuzgUkms
26Fnk clgUk
19F clbkjhdJ
t. v. clvil.. cau 2 BMI
1.
2.
3.
fLczjJ
mltizFlgoclgUkFpLfhzglbrt/br_______________rhjhuzgUkms/clgUk/bkjhdclgUkcilatuhfcsh.
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brKiw
nrhjidv:5 nj:
jhtua
5.cqilFkyf,kfujjhtlkWNyf
tlijjJJghitFrkj.
kfujjhtl
kfujhtlkyMcWghF.
JkfujigkWkfujfMauLghffisbfhLsJ.
kfujigF,kfujfcUthwd.
NyftlNyftlkybgcWghF.
J,Nig,NjL,NKoMa_WghffisbfhLsJ.
NigFNffhzgLwd.
bfhLfgLs xU ky kfuj jhtl kW Nyf tlijjikgL j jh xo, mky fhzgL kfuj jhfvif,kfujigtotkWNyfKototMatiwflmltizgbrf.
t.v kybga kfujjhtl Nyftl
1
2
3
4
5
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nrhjidv:6 nj:
jhtua
2.ffistifgL,fnjhiyjJJ,fnjhjikkWcQgFiafhzrijgWsjffbg-jfh
1.fnjhyhdJ,__________kW__________vdfgLsJ. 2.feLnjhkWfcnjhvd__________fhzgLwJ.
3._______________cQgFahF.bg-thiH
fnjh,__________,kW__________vdntWgLjgLsJ.
fbtnjh,__________nghWfeLnjh__________csJ. thiH__________cQgFahF.
bAbgoa-MuR/vYir fnjh,__________mLFfshfntWgLjgLsJ. f btnjh, vbz Rufis bfhL __________ nghW
fhzgLwJ.feLnjh,btikahd__________mLfhF. fcnjh__________nghwJ. fcnjhFfhzgLrhWiwjf__________gFahF.
bgngh-bts/nfhit fbtnjh__________kW__________MfntWgLjgLsJ. feLnjh__________. __________cQgFa