Atoyns Py.
a of-ae.04. 2020
Daston’a atomte model
Accondting- te Unis, model , event element 1h
made UP oF Awy, ndivisibhe partiche 8 called
AXoms -
Akoma of gore element ane ihevnical, bot)
ao grypical and cnemical, properties chide
atoms of A fiery ederments one different
qn Beet properties -
AQL elements ane’ mode Up of, ‘drogen
otom. Ihe Mass of, Yeovtests otsom fa bout
Q5o mes the woss of Weigtorn and Ts
modus %8 dbous 40 ~Bmes of. bhatt of-
hydnogen ‘
Prom % etabfe ond eecrarcally oo.
Reson, line of vote
Adven Che dtgcover op electron Te was
establiahed Chat atom can also be
dyvided. Hence sche wooded. wag, not
accepted -Pg-a
“Thomson? s Q odell ok avon (ox Plurn-Fudditog, Tod |
(Pwopoged by J-I. / Thorson )
a According, Xo This, model. arom t8
positively chosig ed agnore of riod tus of |
onde 20-38 1 which electrons oe
embeded.ag seeds ip edadenmexon - |
—-% The positive chonge and he coho Le
| ywass of Xe atom isu uinfoourn Ly disiatbutel
k
Lm aughouly Lhe spnere - |
& Norell chonge, tn on oben “T ZENO-e 205
|
acon tS ellectricolly, whieavall.
Are |
©? @
SO
prude gf. om woisk. ,
a, Toe apectnum of atoms, commey be explutred
utn Xhe help of Wis rode - i
% — Seorverking- of a particles: cans ke exiatned
worth he hele of Unis wodell .
‘-_Rutherton
a& Rrher Jon
and Menge aul Lhe “scrbke
ve pati yao ket qald ;
co nest w
The expentment Range part ts: shown
eter Sk
leak tou Lead ws, ne
bas
, Reseed
oboe 1 th ~ SS
( 2600 za negelled \sek) 7. Secon.
(Meneses)
O= Yonge ang fe sgh fcc comme ee
pon cles, ae deviated
& Xp this e
extmerit a keaw of- posttively
changed, Elion pomides Cyeltum uch?) eas
dleaed Lo fall on atm Fak of got
of Micke && AAyxdAo FM .A zine guidefy-y
(ama) geneen oak placect ne ‘
2 * nee COQ Bins on the othe, Rte
of the gold fork.
This semeey wok movabYe 80 ASLO reciag
re o-ponttiales gcabined fom the god,
fol ak angles varying from Oto 230° |
When an X-Pparticle strikes the soneen, |
%H produces a floalr of Mgt and Tis, |
dbsenved by microscope -
| “The angle *9? bof the deviation of qe
| pasticles From Hs. oxtgnal dine@ion 1.
ale tes, geattentng ange © 67,
|
;
| Total nurdber of A-partticlles N’Ce)
&
~
~~
scattered ob angle 6 Cacaibtentng angle)
Varies Q&
a
Ne) o& “alae
on NICE) cose C410 /2:NO)
yo (scattering angle )
Qhscula ais
Mosk of the alice panki cles Paske&
Xnnough gold foil without any deviation .
4 Some sh Ane 4- posticles, deviated neu)
small onde -
Few o&- ponticJes deviated Unough
anges and about 4% 3000 OE,
devioded by 430° (om metmace Its goth).
Noe — devi ation’ ot deem ss same ned -rE ez
5-6
Coneluatov?
4 Most of Lhe space fh an atom fs empty.
% & small positively. changed cone called,
Nudeus is, present at certne of ctom.
& Size of nucleus 18 ver aml, neoshy-
sao wes. of the size of atom.
co eee
eee
|
}
I
4, The veintmurn diebence be*ee'n The,
nucleus (sation ay ) and d-corticle
at which Whole” Kinetic energy
of & postticses. ae coperecl tnto
porenticl enengy, of aycctem is. knowb
iPa-F
as distance of Mose approach .
» Ue WS denoted by. & me?
Noo
. Chonge ov)
Bes eee X- porticle,
x ie +e
(« . Yo hol
So
A& m=o Va Wa
YES PE (a) ee Maeve,
= devo = \ (ae) e)
Bil
Mo
ieee
a |
Ke coul. orgy’ KE = Kinestc ergy o-
con Sto ponte Gs ao" c
a» weed 2h oipmic 10
5 rs
Ee 2 vd. of A -gartide
ene
ov K= Arteae ll ll
Pong
Note,
Ne sene , KE 18 COMpeelely comeried
mro porenviad eneng.- due Lo ‘of. yernce
of electnomrtaie fonce-|. lilo: «Aa
Tinpack Lananne te |
2 Tea Bre penpendicufon aisromce of sh
wnittiah velocity, vector of “he 9 partiell |
from he cenne of Hucled&- |
pa kze™ cot [9/8
je
ayo
= acoentng, anghe
= 4 y1ot et unit
value of '¥ 35 reo
:
|
k= =
Arres
z= own ENO
Al via ae KE of a-posrticle,
7 n= MNOS 0 a pastiche
y= Va: of ok particle
—_ f 3Xe
Ty @ (ty then cotee @)
Rw Eb cor (SF!
Sb will decrease
BE OO)? cor) w= Le)
he cayenne
Le thpachy ,
on we can say Song et
ange ce? smaller wit
panaMeroe )
ax 8= ago®
coupeys cotAe)=9
=
420
aciverfard model of aor
Acconding *0 Awig model every. oto
CONSIERE oy a Mny centaatl cone called
nueva, whicl conbvains all of the atone
positive chosge od ros of Bs. woass (4.924,
4, The radius of nucheus 1s of. the onden of |
4923 m ond thot of atom AS of. Xhe orden,ae ll ll
of 10-70™m . Theenefone, nucleus occuptes,
a gall portion of ache availattle space,
% The eSectnons occury Ae space outside
re wucleus + since an ator 15 eleccrtedll
neutral, che positive chosge on nucYeuss
iN equal > He negative choage of the
eleccrons -
A EXecknons. ane noe stationany luc nevalle
onound he tucleus ty cincillost poth ond
once of atsnacttoy berween elecononc i
ond khe nudewS pnovidesd necessosy
centmiperal dosce + nevollving. electsons.
6g dhasge, on electnen)
Vv. Se= Chonge on nude
ye Seneast’ velo
eleckson
Wwe Know that? Ze = soa
yer force acing: WoorGs CenreYene 5
c
—--- ngs
472 -
ge drrance between ellectaon & nucleus.
F= K(zeye
DON
WerrOhmunea rot
Bon K2e* 2 hove
a Se
=o? SL unite
eB covdomb’s. constant
Liemttons. ow Dnaubock of Uris model
A bs could enrphonn Sab Ary of ator .
» According, * Monwell aleceromagne tic wave,
‘eos acc Hero charge pastiche sadiokes,
energy, 9S Efedisomagnetic ave (enw).
A Aa. pen Rudherfond’s atomic modd. elecdson
navodves ancund Ane nucleus under. constant=
accclenatfor) ame Uenefone 4 should oxtg|
ounly Loose CHOY, « Due to Enis Continous, |
Loas of- eneng Y- elecdinom wil take spirage
path ard cord fall wito nucleus. AS 0, ade |
aten ox al cola se 4 nus. ® schesifo ds |
atomic model. could, nok upon stabs.
of atom -
ax couldnt enplam dracnette naune
of Hydsogen epecwIOe
4. Dunning, anos » gptnallang- ; the dectaank, |
angular freguencl- cominuousl 1 Tors,
fs x neaulc elecFenon's wilh nadiate Beco
magneric Caves of olf. frequenctes Le
Une /apecAUM of. “~chese wave iid betcon nvous née “of EHAgE I NATE
becquse of continuous Loak of energy
Bu euperiments shows Yt an oto ”
emits Qine spectro and each Line
comeseonds tn o postielast frequency /
waveleng Am - “thus, RutherPond’s mode
false bo enpdan Discneke 9 ecto, Janes.
0 %-03- 05.3030
Boha’s atomic, toodel.
TX was fanat atomic ynodel which
avcces fully explained Hy dotoge spectaum
(het? Why nis modell 36 populost):
Tia model was developed fon, Hydrogen
on tH-Sake ote -
Wy drogenic atom one & austen
@----2
oxntinier
ger?ll: a
» € , + OR)
Thre Model WAS eiphatved yn 3 ep & |
;
|
catled portulates + |
ce
4. Dusting. nevolution of electron wound
Me nuclers w ainculast onbit, the
coulommb?s ponce of atmaction on debe |
ts balanced by, Ye centsrfu gel fore
acting. ont -
|
i]
4
i
Fe =eheco vec force
peneya Sag Fey Yef= carn Fuge foreSeeezie. = ive
Sees
st
Pea
In genera we can oni te
Sys kee™ a)
fon wi? onbile 07% rina kee
ny
Qnd. postulate
Bohn obgewed nat evolving. electrons
(e6) onound vucleus have Some specific
value of angular wonjentun -
Fallecinons nevodve only. tn those specific
omits i which angulan momentum of
aS quantized «
E.©s, L=mVWsy= n (2) ye
y anguder. amore yy OAM ine, ombitwy wth obi b
om [rn An} (2 | { 2) |
|
Ww onbil |
\ne speed of) Q
J ® nadtus of
wore: Ae Stable onbit anor hheleyg jp
one fort which both eqr® k®
ane gatiafiect.
¥ Leask positive angulos ynomentinn of.
e- com be Sb’
Cai)
ards Lostulorte, |
Th & Sableonbor energy. of cleckoon |
sematht constant: . Eng Y. of c charge,
when Pormake.s a roray ation fois
one abr (energy, Revel’) to onodhien.
Gudh eramatons oe. HSan eoA® Chat
means “chee 18 NO ime Rog. Leroeey)
Lhege Amansition’) and qnvo We quantaed
enanggieS IH fon of eRec tromagnetic2
a
nadi®arions photons -
hig equation ev plains thar energy changes
Ygike & place For ane only. ahen He
makes a-cnanaition :
When e- makes a transition from Qower
state iv higher state Pe absonbs enemgy
ond whe & makes -cnansition from
yi ner gtaie to Yow state, th yelleases
enengy. beth foam of EM nad iatrons
proton & -
Radius of We
Accon dt, als
osbit
orbit ih Bobs. model
~ postulate for neWe can ws ke
a
y= Kee
y So
on sme Kees —(2)
wen”
Acconding- \n Qe Postlate fan nth
oni
vn ty = iO
=> ype 2)
|
aw)!
Using- p@®@ WO 7 ee have
Tip = Dee 0
nw
mM (eR, )
> rpe Kee rs
mi a
> Dae Ao |
7a Sain
3. Sq ee.
ze ™Jy nNy= Nhe bo \i
en), i
ene Mas Mass of ellectmen
2= atomic no.
= onbit no.
be = nac\ius of onbt +
Com Penmmbcdivety of free &pace=
gs ear
Coulors consi
Wn Ge
n
Aho n
2. pe
2 Un ulqher) a
im Peers 2.42 x
ame
Thus
\h can be woAtnen as
Vo = RAB xd? eS |Nl o= 229x105 mS. Pa
un |
Vo= eS
Se)
shows thet ellecnon in toner
of H-atom has the highest
: veloctay 18 also knoon as
7s, velocity.
Wig velootty is qgpronimatdy equal,
peak km
AS
Now, Sie
\Vo= Vo =_- —_—
> Vaz & Vino 5
$0, Vn
Wnts 18 grag
blo WaAe:
ti ia
gnae) Yoo
Vin BEN
h
LA* yong Ta TR
fyi. Find Yhe vadias of
148 todd
ound side asain Boln
t be vallid-
a fon Lit ®
Z=Hrground state > pod.
Wow 5 wath g, y= Yio
0 fils
= = Sloe
? WS Tle Xe
Ono
0 K
ee St anes" Vi)
~ 1.6 9M
oy -OF- 05.2020
Angullast - ageed pf eile eon wy pn
ih, Bohs’?s Model:
ont
> We ko rete
Va mW
See
mtll lc te
Qa () Stra 4
QO) ang ulosr Spe ed op en tn ot aonb
tS give YN as
woe Va = Vol
olen Ne h7l]
=
Sig. ae
Xo = No Zz,
PR et om
aa:
ne
Tris ne sult is VOW Tmpenant:
Fon feat.
Fon ecto) — = ,
a Sor fone |
|
> we Kaw that
w= a4
af- 2°a ee
Cc Q,
So, nevo Who frequen y, (Omeor frequency)
of & w WO onic TS g.tven ay
hn => Woa—
aw
= Poe yh Vo. pak
2 3” an Sto” yn
a ah 2
io ” Sse ha
i
> \4n oX ey Imeo stant nesul
Jon Y-otom z= 1
pas | 7
we dso Know ent gone pore
gsven OS cali 7G:
So, dime geod of meyodurion of
e i” wth onbit XS given ase
Se 2 = Ae KE
oe
yy Vo
ysarly = QWWo x ne
Vo de> |
[he Ne on |
Vo = |
Sos ai x
ae “dn + Important result
wae
for featom
zet 80, Th AN
Cumentt due *d neve.liftion og- & 10
Ww gabit-
sch
Nolen =e dinectton 1S Vn
opposite Gf flow s} on
eleckrong- er as&
CT due +o nevawation of- chan
WW given Qe Os i
*
ene sg elecinoneé.
Qo, Y=
3 i= Om Taey
Xo revolution of er
Q05 curme n> cue
ah
mH wen onbi oa AS oe
Be efn
3 Tn= ets Vo — ae
aT No
oe a Bmpor-tanys nes
Fon footer 2athis 93Magneric field at mucleus due %
nevolytton of. a Why eh onbit |
Vole.
Tp IT cue rt 1
fw ina crretiar
wine then magnetic
fidd (6) at Ts centre
ts given as
me
Mo sire? of 8 Vagmedticl freld
\eongtant T= cavwrent ZFlootn
nenadi as. of anculan lobe,
In cage of atom nuckeus 43 at
centne alin
yy:
4 @™ 5¥ oy L
Vole Hogneic moment [Magnetic
igole moment of -
S cuscleny Gunn
Of
cyycular Scop is giv
usr Soop is given—as| _—_— =
x
M= 2A oe
eS
whene M= Nagnetic rm oment
= cwnient- yo wih th Chr
Bc <°
n= radius
Now , Ma yexic mome tye due %p TreVo lity
a e- th Wiombite 18 gver_9%
xy
= ya Oly Vy
4 Mn -eskz*).| [>=is)" oye
QTV
3 n= Mos eeeae 3
alas
G Boh Magneton
Magnett © moment ce
ctor (Won H-Atke
ye ten
Mag
a
bar m/
h
Aso, | Mo = Norte” ool Fee
48% onbit of om
is called Boho
m=Mass of & “n= Pi gne\? &
consort
x An alll Aosumulae | exgnesston n=onktte
NO., 2= gtoumtc No-
Ne Che = WENOYY
—
0%-09,..05. 20ag
“Total, enengy 92 energy. of elects
i) wh onbtt ~
she electnon revo Wing. anournd the
nucle us \yas both eSecjat & porenttal
enengy (due bo Vrs positon (ith nese
Xo Une Hucleus) and Kinetic ene7 ay
(due Aa A motioy)-pe
Total enen gy, of e ww wth Boe (SF
given an
= kntUn
Now >
Kinetic energy of. ef
8 owen ak
a = AL mVn™ —_{A)
Aso, we Know chat
\wa> = Keser
In
oe
=> \OVn = ees ==)
Ow
Thus , 420m 7" ® &@® cx have
Again 4 now ,porential eneng: g of O
ey WM onbik 13 give
Un =k Ge) Ee)
on
sn WM) onbtt
&i
>| Vieni \ )— oe
Tw | Nol ya” By a:
- 7 * v= ;9 hale
Using, value of “Kn? & “Un? th eq” ©,
We Vay @
n= Ke — Kee
E kee
oe |
Thus we Cm see hak
cea ckeet kno ker
|
in Arn
& V= = eee
“Tyg we omntve a a conchusion
J
Ynott
En= Ve oe Kin. = «=
for H-atom ,2=
y= 413.6 eV
re
Also, we have studied that
Ww = Ey
Fo
9 Un= Qa Ey
ath= a (a8 2)
=
» \\p= at azev
he
Jon H-atom cg
So, [oe ate eV
ta 3 yy
Energy of dygeremt soc ast Jedi
Prydrogente, oeunr
gince, Energy of &
fa given Qs
Q
in = eeN
= w yeh onbttéos"
a
Po 2 oe
fon Y=2; V3.e.448* encilted state
hes onvit@ |
N= -3AareV
Qnd encited sxate |
lit > or 2nd Babi
ee Ca 5A greV
= ed se. dad exaed al
ane", U oy Ath on bit
fon webs po 2 Pen 7 state
E, =-13- Cae
CN -onbit
er 2- 33 areV
seaq@
fon Net, (ie gth excited state
pn orbit
ie 3 |G -zevey Beio.ae =~ el
a> :
n=o0 0
[ee = +: - See J _oaez7e
pop eee one
a —__—_ aaa ~0.5427eV
no 0.8527 eV
ws 15227
Rpg? bed 40
|
43.62 | —
|
net 2
Since senengy of. ein om onbit ts
a ey as
Ep& sei
oa
7 purnesta DIL &
1@ ON dvi phy
C4 we have
denomiyator ‘oy b
Ene mete ie 42"
ght aa) mes >yee R= RYO’ constant
R= weds
gyneeo ©
aula
Value of ® 2.09%K107™
et 4 yor m-*
Or
y= 6.6 ao-3* Ok?
pon aoe m) &
a
for 250 5 0te isi
(Evi abomeny eV |
a Ryn: hengy
Find. Kin ett enengy 3 ele cen ostatic
@ potential nergy ard oral ene y
°f single ekectron 1 dod cuctted
sbate of L372 octom-Some fwportont neslles
aH
eS. SU = tye h*
zm
0, Bia: Jtaidt3*- —- Sly = ale
= i ee
of
Ast: 48]
4 Since Anea of TH cireculor oobtt ty
given Qt
Ayn= A es
‘came 4
\ Arn & Sty" 1
SE
cs
So, [Au: haz Ao A=
nec ec8 © 7 Hy
Gnd the -natio of | the
of Ast acted sankk of
Ase. of onbit
edectnon +o tk
nen. of onbit of ground Devel fon Het4 ase enctied State
“AN
YR ley
Grown State
Ve Sa
WoW; fee Aa = sla
aad Ma = (nas)
Bane or
ea ALG <1
on simply parha= 4-96
$04 Meat fro Sle =
e \in= Vo => Vy & Z
aa
ae
we Cemtarpertak oeceleration 16 given as
S09 cempouipe to acceleration af e7
a> WN) en onbit TS given X&On = Vy
OW
nN
> WwW = Ve A)
Sle > .
DAyn tk Zire
ne
a [oo a
Qo, Ou: Agi a3-
‘
ep
s/mt i
Note
Momentuln <
nario = avel mgto]
Xe +: we ow Chat
ar
: La
Wn & 2
z ye
gules speed of erin wth onbt
> [roa ee: - On= a2 :s wind
*: Adgo,
poo ai
age nay rr a anbt £
> [gestae x vee Ele
a ong dne quency
Seed natto =
narioeo ve:
ye Ty be,
Time pentod of e in We oabit
Tas Tate ape wield: ene]
Toa aan |
camment due %o sje volution of rr)
wn orbit
1. see etnilan ko 2d £
snato-
oe ee
angular rao nn enan of = in W onbit
| sete fee, -. boca ge. . »|
ke End aa
piso, kn Az & Vow Zeco
— = =
Xo t
Ya: Ea ea. SAS Us Ty
Bee “ee a" 4
Note.
— Ratio cart be negatty €-
Which energy Devel of Laiplyc torizel
boy Shum (Ber?) has the Sane check
onbiad radius ag ther of 47
atale of hydrogen. Frag
fon ground stare, of H-atom »
net > Tus
Now, fon Be
= ee gms
According. to aAeation
Nay
3 Yo= Hot oe
4 4 [nea]09,06 .Q0a0
We Knew that
r
Ene -23-6 2
y)
for nea
Ean 71362 ey
me
& for n= Ne
Ge -A3-6 Be eV
Noo , if ey fumes fiom N=harte n=Ya,
then tob change Vy Energy cot
be as
AGH Gpeba 3 |
CE Saas (ae:
A a3 62 eV eo Se ev)
tori) Ue Sy.
re a
ors aie [ees “Aa lev
aca 13.6 Nv 27 [ten A.
Th* Nae— -
on
' |
re = Fre " [ae]
Tho = 23-6 eV]
fon H-atom, 2= +, then
eu a
[bE= Rc [4%
| “See
erm SE .
lye 23.6 [4e-
| AE = ABG Es 45 \ev|
| rx poe
2 Nou, ife” Jurmps. gnomn Lower enepy
Qevel “to higher energy Sevel then
obson bs energy.
y While when iv wo i yume from higher
enengy Level to Qowen energy Level
then tt cold” emty energy~~ SN
a
— 33
Ad ¢ HNO
ee net
ren. 3% ae
AE= Rhe 2* | fea 4:\|
emdtied a= Lowen ened, stole
ene Igy
a= Higher ras stote
fox W-ato m4 Z=di 3H] BE Rhc [afte |.
Beqiency ond woovelengtty of erntbied
When em Jumps qo bighen obit
on ennge Skate, S/n? to Lowen
orbit on anen gy Stake ‘na? then
entngy 48 ernitcted ain “the foam
of nadiatiowy.;- = sf
*? AE= Rhos [at 2.
Ye Vis:
A Led Jeuquency of. embed “oat
be 4. then,
fon H-atom 72>
| 25 a A.
ib Vs lta” Fe
eshene , R=. Rydberg. constant
& RS 240x407 Ww
a % cwavelengeh of emtbred sad qaton
e A, then,li ae
N \ne
\
» lac =. Ree2e Hil neal
an Yas he
a) a — Roo ee ae
14 Re | oe
fon \J-okow y2at .
Go, tea Rete “e
ast is Pa
i
Ey: Deteurine the vaveleng th het
hydrog en oxo Coifl emit tf bs
& makes a tmanattion fiom ha=Po
2 eh AAAOT i or
AgA? -F
4 y= 4950 x40) 490
igo < 100m
ugs50 A
0-03 06.2049
Excrigtion ond Zontazation of an Mom
a Excttotion =~ Inansittoy, of an & fh
atom daom groriod sto
(ae. Sad a
iterate (9 o@e
of enengy be erm.ae |
4 aonizotion- It ta the Azionsitton of
fe fom on Sey) 0)
nro (4219, Eppay) 4,2
anemoval) of e- fnorn robs
otom by. absongton of |
Crea
a Fen excitaifon and tontzation of ay
atom energy. can be Suppied bo
an atom in tio Ways.
t) 84 EM Podiation photon
x) By colltston with other partichs.
Eucttotton of. Atom opphy. Et! fleastion
4 Encttatton. will toe
place only. if stche Glew neo a
Be per eneng
Peril tb SRE see an
=nce trenegies 0hl .hClUa
two ene oY Qevel.
aie me Abo ond
A Upho ton En-Ena “nen oniu
g
oa, pea 16) t
CK CHERDOY) Cot occu)-
AEs-a = €94)=C13-6) = 10-2eV
AGa_9 = 1@151)-C42.6) = 18.05
AEs-y = (-0.95)- (43-6 )= 19.45 eV
Dorizodion of Atom by. Ell nadiaten
Hesston ofp Bam by
pp an energy Qevel toto! enengy
of ay e7 ts ~ve — Boundness -
When the tat energy. becomes 0,2
will be free drorn nuclean attncinae I | aN
a V-atom mw net, —o-13.6 eV
ag, 13-6 eV enengy (by poten) iS
supp sied 4d H-atom ote, & energy |
hecomes 0 4 it wild make < fee
om atom and atom {8 soNized
4 43.6 eV 48 called Binding. eneyy
on ionizottor enetgy ‘Of e- Wheel
6 \W—otom -
4 Fon any onbit [TE gf e[Brmdtng, cheny
“Lonuation ney
4 “dn d-atom , the ionization evegy ZY
svt) onbikican be. given as
Siz En = | Ey of et tn th state oii]
- agae} L Joniz al Q
See e\
>
Ty ER13.¢ e\
EP OS-23.6) eV
= a.4e\
When over EM nadiotian ehergy
which tg mane thy SE of. ey
an atom i supplred jthe excenn ,
energy. of. nadhatton® photon apll
APpean ag KE op the .e jected 4
Re Gy = (Phoan \- ( Breding )
eneng YW ite ra,0%-G. 06.2030
QeerStotion of gn exced ator
Pho
=e. 107 ec
= ait
8, = Ena -Ena
4 lower energy. Qevele ane mone
stab Ne a8 com paned “tp higher eregy
—0:35 eV
-1.51eV
3.4 eV.
rae eV
Kg =18 ABV
Abs-4 = 24a eV
A&y 5 ep Dy. 6G eV
Agy- a= 4-55eVa. = |=
SPrectinal Lines emitted ky a Vong
a
So 2
po jee 6 35eV os
oo a ——— -1.51ev 3
Ve —— -3.4eV _ =
= “pa
i eet, =13. FeV Za Bea)
Fn (12.4 5eV) ea
AGr-4 = 12.45 eV
Possible poth of e~ fon dle-excRattoy,
ub; Batya 3 photon
4 43 sats eis 2 photon °
42, ak els a pho wor
y fats ale AL photon
EH on e~ 78 ected to th ener
Qevell then total no. of possibsfe
spectral Lines emPcted Sunting fs
de-eucttation 13 given a& | N=a(n-9/-
giver ox. [N= Tin-@
roatinoum no: of photons -emrbted by
peatom. duntng. de-ecttadtion
——
a ny =A, 88.
Nn Nad
Pee es ye n=3
nae
ee
=, net
a.a5ev 43.745 eV
Te e- 1K in WYP eneige fev A afer
encttation nen
«mar. 10 of photons amitted by an
e~ 18 equ 0)
“yon pea photons amniticd by an
a ns SH} to as ore 28206-8000
Erenayp and wavelength of emitted
mad tation -
T¥. wovelengrh o ermitted nad |
ie nen ere off ernttte Be— io sss aX
rd be ho. ard Ne = AG=13. oat
lee,
bE ae " 4
- = Bi13. a) i]
S)
gG 1362474 a
Hie
Ms, bee ae 2[4° Ta
wea Lh LO7*A 1a400
=tae A
on is Av > gr
Y
cy td frequency of, of. ented
not coy
one
proto”
Rydberg, fonroula. Jon nodtodjon «ove=
mole % Amnomsition fom
a When OM e-
haha then
proton 24 rosy
he 2 OE =13.62" a, ny
DE= Grae Era
a 4
4a Spee Sa
I ne Fe a
eS Re = 13.6eVCred = Ae 2 | ee
O, y 7 [ae Aa\
wave pur) Is eyb
ye wave Nurmben
\\ ne. g coovellength pen unit
Reng, .
R= Rydbeng. constant
= 14% 10o ie
AQso, we can woitte
Phston ee hf =
hg= Rho 28] in fe]
ape hea a 2.| |
AE> lian 4
Note , Foo z=, Loto:
a) TF rae fl cps (PA Tea
5.6 fon H-crbom P 4 fe | ae art
Yn! ely
f ; i |
\F Re [a wel)
- —- 0t-22.06.2000
Sectmall, getes of H-atom
4 Wher enteral enetgy. 18 supplied
Jo \—otvorn g othe eectnon porns.
from Lower ena stole “w higher
ener ainte te H-atom is enced.
y% Since, eucited skate 48 nob stale
hence electmon stat. Ahene gor vey
few second ond Finay. netum to
Fee qnound abate - Now ,the ences of
energy (Ie difference of enower of
too. enengy svat) is nadtated tn
the foxra. of sadiatons of differentThese differen” coave Lengy,
cons ttute pectoral gentes-
4, The coavelens gth of differant mere
aN given as
wavelengr
of- geries
(
=)
Lyanan series Ls 4]
wren < jmp from higher ehengy
Stole Cte Mas QS... 08
4 ) to ‘se, OU x
We b= a) aay ne es fot un otek
of-aadi ation2 Ime [Gash Syren Sve (S
——S rr
hontests
condlergt
|
)‘
A
a) k eS qa
a Lyman sentee Sree Tn UOrawiole
neghn we of elec eno Wag. tt Peto
Note EXectromagnettc epectnum
Rh) JNO PER [R= VEU Rays | Yay
Bader series [Ya 38]
When e7 prs from higher
A
= @
a
energy. etobe (re Age34o--
bo dst exctted state (i.e Ps=3)
Aven Che sentes of nad iaticn }
spectnal Qmes go obtatned 1
called Balmer Sentee .
2 The wavelength of differnt marker
of- £ Balmer. gen teha Gs ‘Give n a&
—— -fae Pe
\an* Liestel|
eNnene gna= Bits
ast Babver Je (Domest wov dength )
Here ghar & Nae3 7 i-¢ 37%:
» eae te a Lea
> Lawtelh= 3s
* uli ~3¢°
oe
Be
5 34 w cock
Last: Balmer Mme | Series Smit kme Grose
‘ coovelargen
Ree
c eo \=
beep el
% Baler series (ane we the visible
negion of alectnom agnetic apecinun-
bene , Wea & Ne & -
cyTa —— a. a
foschem gentes. [ra 4]
When en jumps from higher eel
State Cie the 495) °° 2) to 82
excited state (te n2=3) Qhen the
wertes of. nedradion/ spel Lines
$0 obtained ws called fFaschem Rete,
&% The coaveleng-thn of different Ime
of Faschein genies. 18 given as,
a Re
where, Na=425 -. -.00
Ask AgrePaschem Sine Glorigentreconvclngtt
ad Hee gna53_& Na=4 ve 4s
a
—
at Se k\ =F Lae
hs (44 | x 199'5a K
SPs,
eeSf
»
my
et
€
Lost Paachen Ome (Sees Swit tthe (Sheest
watery th)
Hene Ma=3 ke oo 100? 3
GUN ees cl 2
ae et oor
a= R
es
a[A=a\ w 9a048
Pagcrem sefies, ean the infrared
eg ion of electaom agnebic Spectaun
Bracket aentes Trrdl
When e7 Jumps giom higher enngy
grate Lie = 5759 - -..00) %o Bnd
enucited stote (1.e ha =4) “chen Athe
gentes oof nodtakton | spectoial
Qrnes go CLAIR) 18 cabled Snacket
goes,
a a.
Q Bnacket Sentes Qe aw the infrane|
region of the electromagnetic
apectum.
R-dund garter. Tha 51!
4 When em jumps fiom higher energy
slote Ue p=659. -. 20) bo 4h
exc sted Soe. € a= 5) they
dye getieS of padi abton/ spect
Qme so cbedtned 18 called Pfu)
sented .
i The Loavellengen of different member
of *his sertes 18 given a5
So Rial
whare, he Sot-- Se
dst Le CQongesk wavelength)
4, [6>5]a
inne nya. —0 | 2 es
A ie Gs 406
a\j= 400
Lost Sine [Senter Limit Pine (Shorten
oo) \
a eae | er)
6
t= R(5 oa]
c= ae
% Pfund gente & also Qe in the
infraned region of- eLecksomage
spectnum -
Moke RW /MWITRIR--¥] WI Xnays\) Yong
—_——— ; ae ak
vrai ble
Poschem a)
Bnacket CBaliner)
fund ;a | rr |
Aonizadion Patenttal CIF)
s Eee 1.En
=
EP = 23-62" V
\ re
\antdtions. of Babw’s theory. 2 del
Tha model 1s ony agedicable for
singht electron ayste ms (we Han H-
Qike atom).
2 “This thean cowldiy?+ erplain the
fine sta dichine of &p ectsal Mines
aw Khe H-atom:
a This theory could? ' axpkam “the
differ rce in the srtevnaitres. of
emitted nodtations.Ge doesrt 4a ke trto a
wave, Pro ponies © electrang.
Mis, model doesn”s erp Sotin
Lhe ombtta “ane Cty ri cle |
elrptical orbits ONE CAO POSSI
D- Fag,
De- De-Bnog.he?s explonation od Lobwe
second atelcte of quartscton
”
Le yo = nh.
omy Bonk And A
postubte
Aso, hecording, t>- Ae —Broghte
A= D sobs
IG = nv
Nae yop rT
ISS. 1.)eT” Se
ISOOGF sah
x d= 3A
Swany, Qed
> im aow \
RE
cS
Here , Reng of
erncudan. orbtt *
2 TNs nA
2» qewen te
nay
> Arap(M Va yenn
Wm Wop= iy
on |lL= mvpsin= nb
arr
\
vu De Bnogfte gave an evrplanatoy
Bohs and d postulare of ¥ |
by. banging m wave portic. Ue
duality.
a “The onbits comesporcl 1 45 etnculey
gtandeng Loaves Tn chtch the
ctncumpornce the onbit
equals AD 8 PIES. ooavelengtt
fle Oroyend sn
yn
MVnIo= Nn 0
orI “es
eondrye 1h LD. aie:
Egyec' of Was of nualeun on
Bon’s Mtowte Malad
ren Rs o}. nucleus, yy yaag' of eo
¢
R04 ra Nac al Y we assum e Wate
sevalves anoutd Whe nucleus (niet).
if : 2b. \xope
Ce sim 901 te
pes e 4
3 Vaz Vo “7 Se B
En= —Wei ez = Ens 13.627 /
A] aes rae s i el
But +1 srectlity & and puclar
oth revo Nves onouncl their centse
of mag Qe>, Sle
( \ { «2
( i: ee ft ;
es ey)
\ =3 Reduced]
S tga
Reduced mass (M)’,
N= MM.
M+)
m>
Now,
Ins Mo ee malas
Me
oho ,0= 0-58
= th
en
& ° Alone Mall
Zz
p change) ea9:
h
Posttmonilm 18 pure Or ke Ke Q Hea ator
goth the proton sep laced | oY the
Pes oe ee amt orttcle
of the electnon Calle al the
postte10n “wlth Th as magswear&
rhe electron). What would be Lhe
de aicte, enengy of. poattnontyn’?
Cai} : x
. 7 2
Eye 3.962% (ML) eV
ene. Hes eu? =
“yin x
Y a= wevere 0% 29. 08.2020
aol V0 of emeission Qines ee
ade Na vo Qo Cea 2:
re WS eOtgy state Ma Chana] is.
gnen by Caan(ne-Wnay2)
0 Siemens? +
as
Catcubob@ton of recoil s peed of atom on genission of
a pootor_
Atom
\pecoiSt
m= noes of atom
VoecoiQ= secoi speed
Accosedi g, +o C0
Poxom= Fenster
WANrewid = Energy, of eroitted eotov
&
*: Oneagy. of emrictted ehotonn co be AE -
> W.\Vesewil = AE
SG
“(ans gl
me |(ayene
Abe the ve” tte he |
c= Reed of Hoh
MW fea Heaton , fon Amana tov) ced +
y
. [a lo, eV
|
Nnegora, = 20.eV
WY). @
Cine YmaKs of Voto
Nooo , \-Enecond, arom
am
necoll Kthedic m= nage of atm
ennen ty Poon momentuyn of
abw
4. The necro) aeced| of a H-olam often % amte
son) th gong, fy 2B Ag nedts :
a photon | yoing, pom N25 Ao neds mis.
> Al 13.6% (4 6 f 126 X84 oV
a_ 4.138 me*
collision aasume that the Joss
! energy of system is possivle only
-J i can eache os ionise-
cz jn Kinetic energy dusty dhe callliston
be used to excite the atom on electron
ne Seydl Fo ancthen-
peared warm ot nest 19
KY out state a
pect move
\jnead allision
inet will be the Tyee of coMdtston, ipk=
o-4ey,ageV & Quavev-
4c jinelaste | eaperes inelastic) +
A \le knew that tf Boa =0 shen cofliaiov
F mK ;
0
dy
< Le gos& k-E 1s Tantnuwi
tat i cb)
hen colligton will be Pé ufo wy ey,
“ ‘ fj
an care of eft fee | fectily Welasltc, CMa to
Ri-alow apd Wove logeiye
heute)
In ke wlll
op tet co Qstoyy avd Yoas
(
mantimuyy
Bef fone colfaton
Dams ) Cm "0 sy’
k= sem y*
For any, ailision momentum wD be
congenved -
Go, Aep Ly C.0.M
Smv+0 = amv > v=V/a
Now, yor” Donal Mk.E= ki-ke
=dimye-
dmv
Aft en co bisigg
{ 4 (amy?
=2 aa
poe
Os a.
= 5 nv
7 Nos = 4 ftmve\= K/2
loss mar Z (Rm ) />» yor” Lose WH enen F
weeks ‘tH eid be KIA.
Case—*. Th k=14ev oy
> LOSS may= FeV
Hone , AE= eV iy
5
So, collision coil be a Si
elastic. a 4
Cosee & Fykeaotey OF O|
~ 3 Loss MA=10.QeV
So, AE = To, 20. aed
efagttc penfectly
colliston wnelastic
Case 3 TP Ke AaeV
S Nessie atte’
So, 8E = (0, 40-0
2 EHO eV elastic collision
5 AE- 40.2 > inelastic colltsion
Cage} EP k= 4.48 eV
> Ross man = 42:09 eVc— ———_—ll
SDE = (pao. ae 13.0 evs
elastic inelastic perfect Ly inelostz,
collision collltston cotston
A Moving, H-atom makes a head on cok
corbh a Stationary, 4-atom - Befane coMltsign
both atoms one in ground etate and atte
collision they move teqether. Whot athe
7 minimum value of Kinetic eney y. of the
) moving. H-atom, auch Ghat one of ae ator
| neaches one of the enciled state ©
Ans20.4ev
ae pete) Het Jon att net th
m k, Gao
k=yyy>
2 head on cotlistov
ay a Loss in K.E will be maw Chen after
coltayon neutmoy aad Het ron cota move
togethen 4Before co Mision
=imv*
gene
AepSytng, c.0.M ,we have
mv+0= Be’
> Bp/=MhV 9 vl=v/5
Nou, wre \ Tk ws
w, Man” Doss in K-E Ermv (E(B VS
= A eee
en ae Lx AON
o %)
= Srv (je +
rast zg mre
> mau Qoss ty k-E = AKISa Sy nv
)
» © Nuctear struck
y Te tve Change © enn M285 Of alone —_Conconbalea
ak ts (onke Coled — Nucleus ,
)
DE AanN enki (ONLI, 5 Yael 10m i
p- ie ate thi di i
pe EG orn ae At Oo
> Nuclew» —> pinhead
> > do fh's chapter we _wol'll Stidy —_ pprepettien of Nucl’,
> Such ty Mei, Srze , mass and Stabby and abo
> nucleo phenomena Sueh 4» radtoachiuty , frson
il and fusion Bt ames 2 Es _—
LOST 005 Chr a ee
>> , Alu cleus rs “made up af prtotors © a
> Cotlod _nencleons.
2. «:
~ Bron: @ Sib otomre _panhrete -
a —@ ohne = te = po 0 [ms
SD Mass = 6426 ekg. Lamy
. PS mbol A (Ftydigjen Ducks — Ipoh )
2 : oS z
= ; Moss a : ma
@) Neutrons! CO) Subetn ten penbite
a —- . @ chong = ne. ie aM
5 ee , Mass = [67149 x10°°F kp © Lamy
> Samet COM ali apne
)“e flfomic No (2) Ond Mass No (D____
a2 a6 Bs seit
pate Z ops i 1% + Akon an elena? whose nucle’ have Shoe
Ato -y prety. — (Canons) oe Spee bub diff’ no of neuen.
= Aled learns —>(Atm nek) oo —
_ Alkorniic_No- (2)
Mass Ato CA): Neo rude rE
_____= No:of pasty ¢ Alo:of neutroy
Fife Mas Passa
(4a amu) mp + Mint pre
Ye of teh tobe —__
Mass oj tet ts4hpe
Pee Bence eee¢ Giloulake Avg. Ay SE SUES
—teobeper hang Mass no 3¢' and 3% ase fend
tne Mah KY and 2872
a) 11-38 ame
BSS omy
ng eae
tps 32
4(es. ExT
= Ct = 35-6
31 amu
dy 75 amu
© Density.
ES assumes be be appraxinols
olurms of Nutter oc Aon) Puc fasicte ut (A)
Fractions) Arie (Masi > Better 9) Shade SPS pas a *
__1n Considerar Fnound. xR a A w
a %
#Chasaclertsc a) ohraant 3 [ex ae] sf
a 5 ea = , eae
+ Tsobares Akoms_ 4 Aiffimb elemtn? Whe _nuck Go (Ay
aye Sacto: 9) nuclear but diffucotecon en tei aa
yeaa ho 2 >
a aL od Fea maT i
5 ee
Uy toned) npg TESTOR
“He Nuctens Densifys fe independia® 2) Mase neA)
SE 1s Some Ye nudled ay all my.
2. Fr unskelt muslide gaia Shabby toy _eonting
eecfonbtte oF fife “and Y= ones. ‘
“Wha_cfonioneas Crakesion of —~paslle OR pups
sie Caled —
“Rls “aaaly ye (BE Hearne Phan Pah ooh (2s
Bs KL0F
DM ABt Kgl? gt sontceca
Ks Re Rate ry
Sntenbrati
Radio ackuity ie 9 Alutleon fheromenon
Cmplekly “diff fom Arohnian Physics -
© Jt is unafitden change in. pusanune 1 Troperaln
Othe res vata ‘i
ae =
Kadoartin'ty (aay distevered aacetdently by, Heory
Geequirer “in 1996 rohan Ke tao fovurihin duneia Sue.
oz!
9 cohen ta_cewelopes pro
Groptic ple, hs funolExarnple s_i¢ a, i
5S wees
Mas_afie >
mass diboptaa: in every
Niuean Stata
peppene
80. the
clefir (0),
f-amer
Enenpy ino Detay /
a a sted
pracat_alueler
.
Mass clefict = Ar = Mgvartnt — Mi pneducr
sees
Am = [re — (inet ry) ]
=
in Mey nau
“3
—Momen tien Corser voring 3
[a |
|
op
i
KE,
5
Qery see
Rest mass Cin amu)? 0: 938.058.
Xi le
: 002,
Fiat) Y D_KEy x -
ee i
a ae
Dee
ent)
ares
a
Spay Ftheg©
BT cletay :—> etectro emission _(
a = trni'ted op panhdle ie
Radtivnchushy 10 A Nuchor_pAmamenen — Thea, Hoa *
AB [etechos) axe emitted 2 Guae_are_no_eleshon _")
17 nucle.
Achsally : 0 qrulron -Govub h _ fiveha
__& in Ints proces nae
ee a a
Rf Ataens ke
fat pase ma Be Sore
o- fia cast opis BERS
by poate dloutghlec_nucled
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1) hos ne charge (neutral) e€ Dias Ae Eee
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ee } i fio $8 [pasthon ie) 10_erntea form _nxaleea —_—
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t
A_putotn 1¢ Gnvriled fo a Nethon thse hatlesn
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f — aaa
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9) Gmeuty —fp__Deukon
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ran Pre —maibacve Lhe ex =é = sea
missin -oj_ree nip.) —_ond0._bea (2)
by
SP pant Te _18bfope XX wahitn realy UABecay NS 2
EPS 0) ey KEE SOE asl aaa ok a
wees we per anew i
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Olnietoane oss “indsigass a Seal
Spd actensiag fa me Scheme
OW at Uke the ereagy level
clifeat_—tany leeh 9 i