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Date: _/_/__
study hme uo rug eo Hm 1 saP 500
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An atoms is copuned as smaltest writ Dhat
remain “Dfie _ Prvpertier Bl an ekment
* +ftomue Models ~ Different atomic modets different
Scentie atte geuen en order
I
t=_| eftomeon todet ik
2: | Rutherford Model oS
S- | Bohr’s Model =
4 | scammer Feta Modet |
5 Veetor =
Rutherford ’s - partite Scattering Experuinent - =
q
Xmpasite vt [Helium] |He® nedeus = ane? =
Mars | x- partite = d-omu => 664% 10% tg
1
Charge Of A- partcek = +2¢
= 2K 1-6x 10 9¢
B+3-ax toe
Composiaon Of x - partile = 2 pacton 4 2 neutron
V
Under “ofe quidance 9 Rutherford , 1 eug er
V
ond tans nN sn 4944 perfor a Fernoug
ye partite “Seattering — exberirment
= |
fe eapertinental arrangement fer a—
particle Seatering exp. it
i
Ni
S
’
gash ion = 4
g
§
“=
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sey Rutherford Bombardent Q- partrcler sch ugh
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Speed (axtol m/sce) at very hen fete Lom)
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Ox V Suffered very Smatt | ceftection
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Tew partecter where detected hyo ugh angle
J a
when where pegs Phen ‘ane _equat to qo
U0)
SH Rw particter where deflected “Btrwougt
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wer few pantie Mebume baer te, V
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Conetivaon "she Fast hat move of V—partab
: :
paved undevrated ted to ot. contusion Shab
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Xapartele care hey partioty haceng Hk
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id &- particles When part at greater
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Fon de bo
Small septs 1 seat fer gral deftrebeon chee bo
era nace teeea potecter
i> whe particle whith paw chose +o Phy nuclitis
qmeater force 4 rreputssera
experiences comp arsiteorty
Hance, deftecton —“Ohro sh \| grader angle
144) x parle traveling N acreckty towards
Swed down and cs
fovea and hen supetted U bosk. he
1807,
SX Some Other Corelusvor.
stopped by repulsion
dedlarion
V
ruceleus
become
Rutherford conetuded That —
No-oj o- particles scattered at an ongle @ i
1 Suen Ni what - v
}
Nie) x 7
\ San® | &/2 J
fpoout 0-14 /. incident q-particte yeatter by |
{ more “Ohon i
“shan 90",
} Groph -
qoout 1 our B sooo fet cftected move
a Vsendy tame Bate: J.
———— Sees Ae
b>
Rutherford 's experunent 6 gested Ohat ~
Phe atte Of nucteug o, WW 9) order 2f 10'S m.
Sve eV atom a of order oy 10 TM
Y
y
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ft 4 Phe ShiRnen O| Fock Rem [No-of
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N
t
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Na = Ne 1
4 be
“he weputsion force byw nucteus and a = particle
a 5
F=1 Zex 2 :
47Eo #2 ‘
where; tees Charges! nuctetes
Nea
+ 2e = charge of a-particle ;
= atstanlle byo ham t
Impeet Parameter ~ 7ahe compact parameter >
tg deferisd a5 “he prependioutar distance q
sineident yelouty _veotor Of a -particle ghV
centre of nucle] shen Uk ae For aun
from “lore nucleus — q
| 22 tet
Feo [ mv]
wher, Tm Zee pa
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Cateutate * he - of ~panterle per coun
Scattered ab go angle
we Know hat
N te) Xx 1
se TH)
Heo = _K =!
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[ea]
=< |
N (60) = gun (45)
= rag Oo),
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aa 2 fe) J
1/2.)
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£ [2 Bistance ef Closest Approach — (site Bf Nucleus]
|
let hemor & ~partecter =
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Pfen, Ke 6 Waren —
Ex ts 1 mv? —wW
2
Aso - partite approaches te ohe nucleus ib
vetocttty ond Ke deereare and penalty
becom cero. thu; su “oh gckuaion Voy
Closest approach. Y
let “Phe closest istance = 9.
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VT 476 T,
By he haw wf Conservatidn a Energy ~
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Eocams le 12-4 =
b Ho =?
{= 77 Mev
b Ho= 7 Ze K2e
ate Fk
L = oxte? x9 y¥2 (4-6 x10 19)
r TIX 10% xe qc old
= sox tom
HK Rutherford Atomic Moder ¢ Postutates —
Qn “Ohe basis 0f particle scattering
exp. Rutherford sugested an atomic \[ modet
and “Oheir “postutates are —
a> F#natom const Of equat amounts Of tye
and ve chage. Verse, arom 4 Vnuckear
v
o> Entire +e Charge and nearly endira = =maK
ue Centra cll corel sugin Of
Spheriiat abom called nucelens, Y V |
c> She ve charged particles (electrons) aredistrebuted |
Qu around whe muscles.
phe -ve electron tuvelves Ground Whe nucleus
and segs centripetae force tt provided by
elecer Os tabi fovc3e b/w Lee, sand. a.
mv? a 4 Zexe
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phe nuectear camber is of “ohe order 6| toa’ and
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qari = Sear]
a
xX Bokr’s “toric Model ~(Hydrogen- like atom)
oY
atom and species tire V Hel» Li", Here o- smile
t7 _crrevelves around “whe Statonary of
+ve_Charg ea Ze, where 2=atomee (| no- 7
v
Boehr’s 3 postutakes ore o4 Gelb. —
Bohr proposed a _theom whieh apples to Hydrepen |
78 Postutates ~ | cireutar orbit] “S
Dhere is a tve Charged nucleus mad =m
ot ~Ohe centre 9/ Yeo \cnege=e
aye YO
+
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“phe suquired centrpotat \ % |
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ay colon fore Of attraction”
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and e~ (vey Kena) VSP vadlig ©] nem obitatn
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“phen, (| (| c0eneriperge force = colomb's force
mv¥nar== 1 Zere
Mn Ae Tn
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Ace. to 2% postulates ~
is
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i ( ye drogen) ato
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E Uioly =0-55x% 2° 4
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Uherefore 5
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ite: Ta impie--- ET:
= ai 4i gi 16: a5-- -
Veloce, Of O° +e nth orbit - We Brow that,
Veg 15 postulate
v
mv = 7 Ze xe uU
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21
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l 2 fonh |
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Cy gon d te
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2x 885 xt xe ernie try {Sea
constant
[ vas ats ete SIizprayittyees —
U
Wr Iryaregen = 2-19xJ0e
So
rf Sec
n t
Dherfore, veto js ; ;
t Sey 8f em an 1S obit 9 aro.
atom. f Rycregen |
Walgreen = 2:19 St $ m/s
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(V2 | udrogen = 2:-19x 10£ m
2 /
= 1-09 5x 10% me
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[hes spetten he as torn. =
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r
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L
atom makes a tranginon “fom Tore vow
State wth quantom no+ hy_to “he as ener;
“State wth quantum nov Mf Dhan, acer to 3
portutate, —
Eni 7 Eng = Av
—Rhe | _[ -Rhe |] = he
fay : npr J a
Phigmen Serwes:— “OR certés emitted, when mg =
and ni= 2-3/4
tere fr -1t 2 \
a4 Uae ne J
where, = 2/3) 4/5: +. 02
wavelength Of 1st camber Bris series —
v
tee f 404s? J
Mae [tT .
tos Loss {tot} muter=t
Aik [1 4
Aan = + meter
BX 107K 107
= 1-216%107T m
= 1216 ¥ 107!%m
= 12146 4> Uv
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wave Length Of lost member Of Wren series
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rl
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oan L4> ae 7q
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Deo t U |
Agr = 1 meter
1 o97x1toF {
= tx tot mso-gitt xt 4
tos# = ait suv ;
: ~~ ott Vaca
2114 to t21eq whole Veerihl “Van Uv sugan .
G t
Bolmer Senes — On DAU sentir nf =rand
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rr :
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Uso J
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= 6565 A> wise aapeon
Wavelength of last member
4 Batmen series
Usmalece wavelength 9)
Eza\\|
Batmer certs J
to zee ftit 2d
oo 8 Leo J
roe = + metre
1087x407
= e-6textoym
= 3646 G > Uy Aug:
¥ VY
“ORG genes Uke in visible wegen [18 few tires onty J
often hat at waves tn UV sagen] V
Aemitert Wy np se, ond ngage, :
Toten, ([”([mrak_serée ic catuet -paschen_sertts
end ia tn Snyre red agi
Gumilanty 4 =e and Mis 5/6,7:+-
ren, \| whis “serts & cated — Bacrett series and
ingra wed region.
V
Suimitarty ngisS and mi = 67,8
hen, tet} cotted - Phand acrsivond
ingra sud suegcon
LT
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—
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———— Bese CES
| Co neepttiat note =
I QP an e- an single atom jumps to tevel prinépie
quantum no. NV ‘ni —
“Dhan, ohe max- no: 6{ photons emitted =(n~1)
2>| Sf “> © hyarogen tines sample “ohe 7 Of
Vang ibm: sumped to level halerg
pacineipthl quantum no+
when » he maar no: photons: emitted
= n(n-1
2
ne,
Excitation and Sxucitaton Potential / Resonance
Potential —
ed Excitation — “he process of aes energy by
an _e7- show as to cays ee from a Nwwet V
[evel be some niger tevel ee excitation.
she energy seq sous to ays on e7 from
jrount “sick to on excited state
ots
caued excitabor energy +
for eg — bor Hypacrogen” VVatom
Tse athe. enargy = lo Dev
= 6i-E4
= [3 dev) “L138: 6ev)
= 13: 6ev -3- tev
= 1o:2ev
Simitaryy » 2 exciation enerfy = 12:01 eV
V = €s-£
= (et Ste) -(-13-6e
= 12:09N
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e- 4h an atom hagte
he pd _Throwh which
pump acderdte from a veep
excttated state 6 calltd excitation poterstial.
state
Fiast exctation potential For H atom= 10-2 Volt
: Jonisation and Sonigatan potential -
: Dfe process Of Knocking an _e- out of dhe atom
ated onisation\|.
v
Derisation Energy — St in aupined ag Oho energy
vreq- to Wikenock our an e- -completery \V our
Qf atom -
Tonuation = Ex~ 61
= 0O-€,
for Hato 5
G2 -13 ee
sf for Hycregers atom
And ionigation potential = 15-évolt
t
de - Broglie 's Explanation Oo} Bohr’s Second Postulate
Top Quantisation.
“oho bail! of de- Brogue’s principle, gohr Suggested
hat whed circumperence 9 obit is intros
rauleple 9 de- Broguers \| wavelength 0] matter
(Passocated \F sth suediatle (len
wooue
“Ohen, ~ohat ovbit ‘will non eediative.
for nt obe to be non~ radiative
amin = nh
ata = nxh J whee n= ine nal
™m-Va U VI
mVnta= nh
a
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time ns
——___/ SSSeee
Second postulate — ‘“ Bohr's atomic model
need 6th V ovhit
Merit and Demerits 9| 6ohr's_“Oheony —
1D Merit - >-Ohe deter mination of C/mn (Specipe charge) for
e- da emortly some () with Obtained *
Sther methods. V
> Uhe generat principle used by Bohr hag also been
Succet spall plied to o ([ great no Of pheno-
Slee a ee uonuabon of
atoms.
2 Demeriti-ovhe amumpisn of Onty curator orbits
ws ubterly unjuseiPiced «
cs
he spectros Serwt , “Ohrough agree excelrentoly ah
case 3 He bur. net U eahtty for Hel] hi ete
Se canl(t matel any coneuusan{| about “2
praniuan orl ~oAe Setteron mute whith
applad to “phen
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=
? Composition and size Of — nucclews
> wclear -force V
| Mass Energy selation ES mer
02 mass Waepece
> | Nuctear — fision
? | Nuetear fusion
Composon 9/ Nucleus —
7 f
Protan= Electron Hypothesis —
W Expasn a _emusion 9 Al - particle from
rurclerts, proton - electron Huypothesig Comes |
santo ‘play but cue to V Fottoweng geaten |
OL ut besos \ unexpertoble « (
4 | Apete Heisgen berg uncertainity prinuple e~
can't exith (Uriiae “he ([ nureteng »
Aprse 2 A q '
+7
oR 1
4p. ax > % _lapprox)
4.
Sinee, he diameter 9 16 a the Order 8 10
Wohen, max. pod bled uncddeainity gw q she
meabunencent 7 pesitrou [ar= 407 !%m J Jha,
ap xeiott > 6 e26x 1086
+X Sh
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SCT OR SR I= cradeoic
iis + newtron
Ele
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momentamemass JOM BSEEASS
WHA
AP > 6626x10°* —Kyms
4x a-1extolt V
ap > 0 527K 10 fg mis C)
ar av > 0527x107
7 Whe
leat, Nen Berg t0
heen Ace. to “ohis heen:
no. Of protons » (ez
S41 10°"
av > 57x10" Ys
hes velocity Larger “ohan speed
lit imurporkble -
vaccum
Hence, €7 can’t
Proken- Neutron “Oheony —
iscovery Of neutron) by
U put forward
neutron
t 5
nucleus = Atomic nO
t
no N &{ protons + no- Of neutrons {4
Sams chadurcr | 1932]
patron,
= 2) - enone no tf)
uy = +Ze
Alep tve one on
yc parteicts V supposed to consist 9
Q proton and
Aen
t
4
nuutron-
n wag converted
B-pateele was emitted tn neutro
proton with. “Dhe emission ©
cunto
an e- and
newtron .
[ont> sete perv]
jeter and Neutrons ‘are coltectivers called nueleout
P.
‘
Piya afect— 9t 4s found hat Sump} masses |_|
packed. compouing a. muscles ti mond ~ohor
whe moss 9 U rulers itself “Rat +
shen woe (| no @ nueleons are 7 brought taqebnur
TCP Ta ae ee ea
yo Form & nucle
ws Cotte. mors _clefect
y earin Tae . au OppLass wach
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Get, mars of poten = me
mass Voy neutreh = ma
ness af! nuclens =
‘ mass defect (4M) = z-mpt (4 -2mn — M
t
Nuelar Binding Energy- one fos un energy which
i __ responsiblh Uff einaing he nuelelbns
~ together an omelet \L catten bencung
5 W eneogg CE.) of — she nucteres Oherefore, Cl
pinasng VW enersy (te) — :
en a nas defect x c®
E,= (aM)c*
Eo = J amp + (4-2) ma —] b vc?
U t z
i
i
Binding energy may _atso be deferad as he
tora (Vergy requir to | sput Oh |
pus into “oi nucleons 5 |
Energy per Nucleons — Ot is ward 9 }
i
beralh UU energy 0] nucteus to itt may
noe \U for no. oj WV nueulone)
Tohercfore, energy Per nucleons = &.
qt 4
Fay & 1
4
= mA per__ructeon =f zmpy (q-Zimn-¥ Yc
*
. whe Stobdtity OQ} nuckus ancreases on increase Hf |
bending (| Venera y per nucleons - |
: noha. tar benss Srengey “Vper nucleon ss O[ Phe order |
# \“oN u (| |
j
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Bundi Energy per Nucleon Curve —
a
“HK in yw |
eat |
Jo a'\
a
Mass nergy
welation —- 4c to Einstein , mass ond
1
energy NV are 2 aippertne
i.
€, energy sand
Forms Of phupsoat
ee ee
chaddoble-
Sf mass im’ ig converted into enerdy
fre y E’ = me
NQ where - Speed
is
aaee ath Voce
x Sania
Atomic Mais Unit (amu) —
t
Or us Srrialgt\ unite} x
Atomic maw unit (amu) i \| defined as [1 ]
Ona carbon (cl) atom. Lr2J
mas
part 6, mas |
farmus 1 y mats | ore C!* atom
2
: mass 9 proton —
\ Mp = 16726x 1077 ke
= 4.0072 7% amu
° | Mas Of neutron —
* V+ mys -te749ax 10°77 Bg
NW MUG MMe gy yar ?e «
4:00 B65 aru
u
ee
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mass Of
= 0000548.
1
BSS
Os
ql Mme = 9-1 x 10°! Kq
SU amu
\W
Tamu =4-6605 x 40727
Energy -Cquivatent to {amu — ble Know “efiot,
Phe sneray _equuiotent to fame a _qucen by |
VE met Yo
‘ Tamu x oh |
1-esosx(sytot)*
E = 46605 x 10°7 9
E =4:6605K 9x qoNM oute
E= S808 tax id l
1:6x for
m/s
x 10" Kg m/sec
ev)
= 931-5 x 40%
al € = - 931-5 ae
T
BoLn
Mev Guben
chat - \|
“4p = 1+ 007825 amu,
mows Of whe nucleus =
Mats defber (aM) = ZMp
Soteints She penn Seat Oh an = powtiete in
Mn = 1:008865amu
4-002800 amu
+ 4-2) MN~ My
= (2X 1007825 amu) + (2x 4-00 8665 amu’
7 4-00 2300 amu
= (4:052990 - 4-002800) gia
= 0+ 05018 amu
Wwe. Know “chat —
omy equivalent to 951-5 Mev
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; BE 6} Nucleus = 0-08018 ¥ 931°5
V = 28:
/ ier
BE per nucteon= 29'1 taev
f e t
k
= 7.025 Mev
o- nee
ee 1
ted
Chenin Oe Be of Nuctic 26 Fe! and g,8i "sn
Mev - Guen “Of
mp = 1.007825 amu
‘ my = {008665 om
Me = 55-95t9359 ome 4
\ M gy = 208-48 0388 ome
> (am) = X:Mp + (4-2) mn — MN
r = = 26x 1.007925) + (30x 1:008665) ~55-934939
i (aM) = 0: 828461 amu.
7 pe Of Fe = 0: s28tet x 95'S tev
= 492-261422 Mey
(am) = 2m + (42) met -MN
= 23x f+ 0078 26) t C126 x 1-00 9665) ~ 208: 990388
= 476 08FF
oherfor, 6 Fo Bi
l
4-160 8F$ ¥ 81-5 i4ev
= 1640-25 A4ey
orc, — “ohe fore blw 2 nucleons anside
Nuclear —
he _nuseleurd as called — rican Force. St “4
Geronqest force 27 —Ohe nature.
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suet ASSaeces |
Prepertios of Nuctear Force —
= tear
from _paesentty» avactablo data st has been
co nelitded ( that huctwor force power 5
4
wide
afte Foto wing Properties —
Nuclear fSece ir attracttise un nature.
Nuclear Foree is fndependent ©{ whe — introctin
nucleons. ive-it ik Saturated! Pore .
Nuclear force short = 7ang ¢ Fovee (its varge x about
10 'fm). J
Nuctear fore ie Span dependent
SE ke chamed independent and act identically b/w
p-pan-pncn.
Nuetear Kerce. ut hon —central force
Hence, 4 if non - conservative force .
Nucteor Forse has property of Saturation.
S-No pes O fowce Nx N Relabie Streng bh
eat Grav Nat ionat 4
02 — Electronnag note 403°
03 — Strong Nudlear 41038
z
Iy
ns
Exptanation 9) Nucuar tore ( Yurawa's Noson Dhani
Sn 1985, Nuke Ere i enpleatned ty L \
Tapanese Scientist “Yurawa- V
Aje te vis heory, he cause 9] nuchar fore
is transition Vo meson brw\| nant
Where aro 3 types Ye meson —
tve Meson - Fa? U
ave Meson oe
Newtrac megon — 7°
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. Nuutrong and protons are keep or Changang
lee
Other dueto exchange Of mp. meson:
. n-n_ Force arises dueto exchange gl 7
n— n®i7?
n+ nt
“oe Pp fore artées due te exenongt 8} 7° meson
b/w he nucleons
p— p* +7°
P +72 —> p&
The n= p Fores arises from the exchanged Of rt
WiLL aM Ua ee
|
=
yy and > V V
[" ee
yy pico nea? ;
Nuclear Fission — Nuclear Fission tk érwerfed by
Otto Hahn in 1939 (
* | Sn nuclear Fusion a heavy nucleug breaks ante + |
Lighter puseliz with dome nuutreng and Forays.
t g
. Bhe daughter rucclel Lfesion Fre qement) are unstoble
and ky emitting B- parfidls Hinaliy, ohuy
become. NI stobee- ( \L-
y | on nuclear Fuscon, phere it Some mag Low (aboub
Die) whith __ converted duke caer
+ | Sn puelear Friston here some mau 10S (aboutoty.)
which converted into Energy,
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Dato: —/_/__
ame
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On nuclear Fission —oheir it converswon Of elements. |
Dhere are 2 igotops O/ Uranium 40 ‘nature. |
U i
ow P88 > about o-fey, ——> Fission om Slow motion.
»>
% ;
a2U °° > about 99-3, —> Pinion by Fast moving
newtron ‘i
Some Nuctear Fregcon Rean ~
asS.
7 Tr —<—-
alJ + ui —>, 6a tke + ont +Q
Slo neutron
> Xetts sr?*t Alon + Q NY
99 133 7
=> NbY + 5 sb 44 font) +9
} (
DE qbout 25 neutron ah emitted by Fiesion
v ae
one’ _g2U and about, 200MeV enemy comes out
NY
144
—>
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S\ e Stow
iar
fast
36
Estimation of ¢nermy an Nuclear HKission~
V HY
We Know hat - nuckar Fiswn equation Kor
BS a
aa +n’ ———> ,8a** + kx stn sy
xs ;
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study tine nh ow? Es
eo ae! neo astins Hered. eerie
set gor aun (Q) = 144 x Bt Mev + 89 x 8: 6 Mev — 235%
= 206-8 ev
x 2oolev
#[ Energy emitted by fiscon’ of YY u
J | tq
Reon [eee atone sae ofan pranuum = 6-02214K 18
oof ‘atom unt 14 Vo pra 602214 x 10%
U 285
q
re a
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Ry!) O= 6 ome x “ed x noomey
y
i ze
2 = 5.125 x 10% ev
= 5-425 x 10% x 1- 6x 10797
yr Eo 0 = B-2x 1010 Doule
x Gomme amb Of ereggy is ernetted _ 6 explosior
¢ 2o wes (20d mga Bl TNT { Tee -Nvitre Tuer}
t z)
+ Gacuar fimion = whan 2Ught: nue Foe Se
t erm oa targer Pernt nge cee cme
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o
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gs seen from banding enargo4 Curve.
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: pie mom Of product it Slightly, tex Dhan sure}
¢
I wanes No] eastant mau on
| converted in (| Heat enenty
o
Gore fueon *ocatare VV quien below —
J
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Fiber qHt > 4H* tef + 0:42 Mev
qH? + Ht > fhe tn + Bat Mev
—
put + qH® qed 4 pHl + 4-03 Mev
t
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Some important Facts obout Nuclear Pusion —
T
ag Qe et exathermic yeaction:
; + | he Unear momentum and Crass energy ) ‘remain y
c conserved “ur nuttear PFursron. : |
ce 7 Gbour OF % mau converted “inte erry At
5 mustlear Kassin :
& fo | phe source OF Solar energy it nuclear Passion,
V vq
s
adurs Of Nuckes — Ot in Found shat vol-
jeenenssenniene an (<4
f ce nvetebfe Je direetty proportional aa-of
Qf
T
MuLeleong prevent un “it.
“Ri sit “he vaduis 97. Nucteus “whens
= Yq ARP oH
Lo
u
in
a
x
Joy
~
a
a
a=
a
| Ro = tax tom |
= 12 fm
pias ¢ Nuetous — “ohe density 9 :
—s (
ne £ = mes 9 on Kt
aaeen| y man o \l recelerg
4
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i eee eee SeaS88e88
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nN 6: 4 | .
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= 142
E
= 35-414 = BSS
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V313.
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rt : Igptone — tone (mutren) Ra F
et [same no: _9| neutron)
B imp = qo0727u = 167262 x16 tm}
Lime 1:90 866u = 116799 X10 "eG wz
A ie Atomic NO-
A= Re of mee mau mos N+P
Gate Of nutans 7 _—
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[ese fre wf
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d © =
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- = 2-3
—
4-6605x 10%
|
me Sra ont 5
(tprrxypels) 3
aE
— Deny = Q-3x id eg /
—_
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= 23xid!
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quuibilatiow Gf 1 Kg Of rat:
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= 44 ¥ Lax tob mys) ~
ax9x4o'e Kq m/sec
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foe man —
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e =14-944¢5x 4o!'x1 oy
p.ex to !? =
5 = 3-315xK10® ey
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“8ai-Sx of ev
: jams E = o3).5 Mev
; U
Jamu % gqai-5 mend
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