if...U niv ersity of Tec h no lo g1tDepartment of Laser & Opto-electronic EngineeringFinal...
Transcript of if...U niv ersity of Tec h no lo g1tDepartment of Laser & Opto-electronic EngineeringFinal...
U niv ersity of Tec h no lo g1t
Department of Laser & Opto-electronic EngineeringFinal Examination 201 I -20 I 2
Ql) Find:(a) The transition energy levels of a non rigid molecule (in wavenumber), if the
rotational constant i!'10 "--t,
the centrifugal distortion constant is 2.31*10-3 cm-I and the rotational quantum number is 2'
(b) The vibration energy levels (in wavenumber) of anharmonic oscillator, if an
oscillation frequency is 1876.2 cm-', the anharmonicity constant is 0.016 and the
vibration quantum number is 3'
Q2) Starting from the combined rotation-vibration energy prove that:
ti.p""1: w6* 2Bm - 4Dm' cm-' (m:+-1, +'2,,"')
Q3)(a) Find the population levels according to Boltzmann distribution if the rotational
quanfum number is 2, the rotational constant is 5 cm-l'
(b) Find the angular momentum of the rotator.(c) Find the maximum PoPulation'
Q4) a) In the photo --electric efTect experiment, if the stopping potential (v0:4 volt) and the
{ work function of the surface is (g:1.38 volts), find the wavelength of the emitted
radiation.
-1 b) State only 3 types of dispersers
Q5) a) Find the value of the energy difference between the n:2 and n:3 levels for lithium
t atom (r3) inelectron volts(ev), then convert it into(cm-t)'
I b) Explain stark effect.
Q6) a) Find the frequency of radiation (using Balmer series) of the fourth level (n:4) if the
f, Rydberg constant (R: 1.966 xl0'm)'b) what are the two corrections of central field model of atoms having more
"\ electron.(state them onlY).
Usefal constants
k:ffi-n\Kl . T--3000K (at room temperature); h--6.626*10-34 Js;
c = 2.998*Id ms't; atomic masses: H = 1.673*10-t' kg; F: 31.55*1027 kg)
Subject: SpectroscoPYDivhion: laser EngineeringExaminer: Dr. Fareed Rashid
Class:3'd yearTime:3 hoursDate:5/6/2012
than one
Charge of (e) L6+ I0'te Moss of (e ) 9.1*10'3t kg sa
@t.ffi@Mud aqltlryqwln('r)-iL' }'..,..slh* ay5t l<u-L, &- "t nan riTtJ
^olec..te(,n wctvanqvqbt*-): "
Zr,i Er( a+) - o r" (r+). c6\:- to * z(z+i)
, [r, 3/ x ro 3+ (r)" (, +,)f
'- 51.1 (6 c,.n-l
@ -1r. v,L"ohorr*L 3^*X1 le*uls o( l,.^r.^unic ,sc;llo\t,-
Q" u,)ctw n*n^L",--)
'(r"+) n" - Q+ll w" t.. cua,i:
', L^ ^-- (z **)n lz.le,z _ ri*1.,,vtt=3 \- L) (.- ,) +lzi76,Z *o,ol (
' (l1g.X6ut g c;l
7vX)
(\ -'t- it-- , = TJo +zBrA .-eD\9L' v;fecF '
ah<. go^\ineJ v-ola h","r -v,LraFi dm
€+"luv = €-oL- -+€vib J.oul.u(o+oL
= LruL. + L rb . cril
t5t = L, +L,
td=Bf(r+t) ->r"( t*)"r- H t3( r+L,= Q"+) r" - (t ++)t 7" x.<
"' Lr,' '- t" + L
=Bt(r+l) -Dt'(t+r)'++0* +)*. -O n*j
n3 c^\
eAe/q, .
'?--+t,iz,-1
-lCm-)
-\)tt r-lCm'
. '1 . r?HJ'(r-+t/?- -
fuu Ve c ril
(="rrr.r-.)
t,r/t- l qtz.zvavv
D,H, I c' ti* 'Lr*, = Ln, 'B t
hJe h^rne- AN={\/+"1/aT=+l
| 'V . t t, I I | |4L Sm,o.,ll Cuviv,l'4 oL c/,s[-arho- ansfq"vt
, \ / t t-. a/ l^,, f \L -(tnr ) +p+t;We - Ie lv +a 1 wQ
+"^^ 4\'- *n .r^gil-ibr'. , €* -\) -- o --+r.t = l)ALrr. = ti,v__r _ tt').r__,
= Bs'( s.n,) {_\ | *-,\fi" Xu - f Uj'(i*r)1\6 ht - #. fv"\
= f'" +G( t'-j') (-.* i,*D c;\.^I fro = o. I I --z xe)
n'f={-\*r)
D bJ,V '--
.Pov ,li--J.= *\ ). ^("Db'',l = t^Jo
e+llk i11(lt1J1a'r O
l*),t '1, "l'r.*
AL =usptd _
\ t" rlJ rJ- ' I
1-,
ri
.\.,\,.€ A - -a'/'-J
w" + LB (_:' +
j.r ;'' = 5\+ |
,\_'/l< / -\, r\-v ( \ -Fli\v/
-tLf
lc t4
r
o{
Crtr
!
' r(,t {-2 O-:- -, ) -= I I I d i)
= n/o # a lS li'r
'r1'i!i-;fl I i, s
'Ltw, -t' tLe-4-,\,
t-
;t --)-,\' -
? -.)*! l.'.f
\,vsDo
I
,J
\\,-.tt li--'-^ I ^\-/ \ J -v./t/L. --.'/
lf./\ . \YA/\
j*l ir- ,7-i-,
3 ,'1': 1, : '-!. 'f>
'.U J - r \'v/.: C-lPv'es3iar, rf -lt " 9pcc1'r r,.'rvr
-lD'l, r,J \,{Lr(ic{L :J,:,:.,, l,.,.v
= f)" *?13rr, --! I)rnj
Q"'@rNr
T;
pp"b{vn kvwls
= tXp f - el c T( :r+D l".rlrevp l' t - ('bt *e'" "'qqt* 1'L 3oo*l'3&*f27
)
= exp (-l.q jlq *r;3)-, o,11X 5 (
6 A"1,l*. nt"c^rrrf, r
P= ,f5( J* ') unils
(cS flnxi*'u^n P"Put*hrr{E -Lu - ',1
-l r- nD 7
= qG I Slsltzlt q-o$\
2hCB
I'szx 16'3 * 3oo2*(o,62( xt63q * L,11g.x lo8* 5
IL
-i L
z (.+r)
= JJ-
Q. +
-/
,€R\r: kq
I t-Bg.qv-q
^.bs
z-j-
!:.3
tJ'1 x; = i.r= *-r;3*' ' '-'t*l'rli,!r
- 5'4*t' '
e= -+,\ S-tr
J6 ";r" "f=-3+ -z & Y lo l^.-. \-? 6Y
t.z1
$o=k
8= 3
t,6 )r
,J-4h'
P-'.t--b,.$$. 1-3JJ
..nt"9o-ro ---F-'
trl -1,3 K'.urrt1
?+. fo
+ t5a "r
-\s
aA?
--l. z,
?-€F+ *tp I
=.3 a1 t\
.z_tbo .1n t'\
- \3.6 -a,-7
Li =+
n1
2=3
5.,- -- 13-4 *or - -3o-6 €v
't
-\3.6 +1tj
btr1
17 (Lv
-15.6e.v
| ?er, x 1.6 -. (o-l1 "
o{E
h-*-c*-
")a(E'
--'r-i.= +,;-rl .T-*&
B1-..-rt4- ',11r-<-,'t
is s=._ "tT;si J -*-I3 q"T{< J^<
b s3- \^cJ.:- J 1l'<I":c $*^4
-l=r^-- N$q- E - $:&'( -r*"^* LS -\c$J-c-..--$, y-4"4..- g- ;J*49- ^a*p& -'* **
\*se\^A ,<;-Ne_ .. s--c;- .f n--*t#--^-*
ZG<-V\i e ..ai*Jr"J..S
7 c5 -+lt.1 46 *r,:-L*-+)
t. q,Ae + to? ( f- )
I . I r+ t-lJ s-l
7 't -hgFcSz0--
aI 3 r+ {o
7 \ - Le*-c{^.*-f-'<- .^-\.. .a;- (t ^t \4
1.*"-)2_- t-r'*p-:c- .*s,.-e'-ef-'- e