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any.and date not da*eni^sanyolthofi ve(nrLes'tr morcrha^ 10t{quesnon5 5h, be d$qua ifi ed
I
Q r.'Ihe smallcsl unil cell in real ladcc is lermed as
(A) wigner Seitz cell
(B) BragS s cell
(C) Laue cell
(D) Brillouin zone
(E) Not Attempled
Q2. ------
mcasurements tellsaccuralely whetherlh€ semiconductor is n_lype orP_type
(A) Hall
{B) Seebeck
(C) Resislivity
(Dl Thcmal conductivity
(E) Not AtcmPred
Q:1. Quar crysulposscss ------- fold symmelry.
(A) Six
(l)) Fi\c
(Cl Four
(D)Two
Q4. which olthc liquid cryslallinc phase is closc to the solid Phase ?
(A) NcDaric phasc
(B) Smedic phase
(C) Cholesteric phase
(D) Twisrcd nematic
(U) Nol Anernplcd
l
Q
s. KroninS Pcnney model is
(A)Apprcximatc model
(B) Rcalmodel
(C) llorh (A) and (B)
(D) Contplcx modcl
(E) Nor AucmpEd
Q 6. Thc Br,ry$ s vcclor ol cdge dislocation
i! '- ' -' ro rh. disloea'n)n Lin.
(A) Pcrycndicular
(B) Parallcl
(C) Djatsonal
(D) Undclined
(E) Not Atlempred
Q7. Supcrconductor acl.sasa perfecl
(A) Fcromagnetic
(B) Paramasneric
(C) Antilcftomagneric
(D) Diamasncric
(E) Nol Aoempled
Q8. The primitile cellformed in rcciprocal lanice iscaued
1A) Wigner Sehz cell
(B) Brillouin zonc
(C) l'crmi sphcrc
(D) Ewald Sphere
(E) Noi Atrempred
'I
Q9. Which ofrhe following equation s6les non-exhence of magnetic monopote ?
(A) Div(E) = 0
(B) Div(B)
-0
(C) Curl(E) = 0
(D) Curl(B) = 0
(Fl) Nor Arlcmpted
Q 10. lhc rclalion bcNcen the speed oflighl, permeabilily and permiilivity is
(^) C - l/l(f€)
(D) C= Ir
(C) C - r/c
(D) C = l/Fr
(E) Not Anempred
Q ll. ln which ofthe following syslems population inversion does not occu. ?
(B) Third Ievel
(C) Five level
(D) Two lelel
(E) Nor Anempted
Q lr. I' nr n'u.rur-.ot llilom i. oora,ncd Js
" rcsutr or
Hamillonian.
(B) Rclati!istic
(C) Datuin
(D) Lansrangian
Q r3. Whi.h oithc lollowing assumcs rhc sepamlion ofclccrronic and nuclear morions?
(Al Ilartrcc-Fock approximalion
(B) Hciscnberg's uncertainty principle
(C) Born-Oppenhcimcr approximalion
(D) Pauli cxclusion P.inciplc
(l) Not Attempled
Utr. \\hJh,'rrhrtJLu rng r. lhc comctc\pre,nol or the reld rJn bcl{ccn l.rn\lcrn s
(C) 8fl:h/cr
Q l s. Ior drc Brown ian morion. the graph of mean squarc displaccment vs. rime in the lonS-
timc limn (l 3 6) willbe a
(A)iregular line
(B) horircnlal srraight line
(C) slraighr line wilh positile slope
(D) staighl line wilh neSative dope
(E) Not AttempEd
Q 16. which ofthe tbllowing is an €xample ofsecond-order phase rransitionl
(,^) Mclting oicryslalline materiah
(B) [cnomagnetic phasc lo paramagnctic phaseofa malerial
(C) Condcnsation oflater lapour
(D) Irrcczing ol water
{
Q I ?.
ti) Not AItempled
n eigenlcctor of any linear opemlor is a veclor
whose
thc acrion oflhc operator.
(A) Magniiude
(B) Direction and magnitude
(C) Phase
(D) Direclion
(1j) Nol Anempted
Q lE. The Laplacc translorm replaces direreniialions wilh.
(Al Integration
(8) Mulliplication
(C) Di!ision
(D) Subtraction
(E) Not Anempted
does nol change by
Q 19.
Ii r gi!c. Nrentum p, rhe Dimc equalion has
(
indcpcndcnl solurions
Il) Iwo
(C) On.
Q r0. lfro any linear operaro.,4lhere coftesponds an adjoirt;+. then ror arbnrary lP) and
ld) lvhich olthe following is conecl.
(A) (U'1.4+lU) = (01.410)
(B) (ll/l,i.l0) = (0lllv/)
(c) ({,lll0) = (0lili/)
(D) (t/,ll.ld) = (dll. {)
(E) Not Aitempted
Q 2l- Ihc llrsr odcr pcnurbation rhcory oldescnerale levelis equivdle.tolfindin8
wrth rcspcd ro which the penurbation is diagonal
(A) Onhogonal kelvectors
(C) Nonnahzcd kel vcciors
(D) Null vecrors
Q 12. Eigen values ofa Hemirim operaror ars
(A) Rcal as well as imagiDary
(B) Imasinary
(C) Real
1D) Ad.joint
(E) Nol Allcmptcd
Q 21. Which oltlrc lbllowing spaccs is uscd lor rhc descriplion ol a syslcm in quantum
(r i\ti.dl .rc.hanics,
(E) Nol Altempled
Q 24. IfZ be rhe partition tunclion ofa syslem ofpariicles,lhe average enersy
by (0 boing equal lo 1/*I)
rNE=4
Dt E =!!l
(E) Nol Aficmpred
(t) is given
Q 25. l_or thc Fcmr-Dirac dislributions at diffcrenr remperalures as shown in the Figure.
which onc ol rhc lollowing is coftcr?
tfrF\
T,
(A) T <T,<Tr
1B) Tr > T? >Tl
{C) Dislribulion for T isnorvalid.
(D) Disrriburion funcrions lorallrhe tempeEtures should be rhe s.me.
(E) Nor Anempred
Q 26. Thc zcrorh law of themodynamics allows us to deiine
(B) lntcmalEnergy
(C) Temperature
(D) Enropy
(L) Noi Anempled
Q 27. The theory of strong interaction is kno\m io be
(A) QFD
(B) QCD
(C)QED
(D) QFT
([) Nor Arrempred
Q 28. rfc rcs,duc ola funcrton
l(t\ =;i;;;,ror
a.imple pole ar / = 2 15
(^) li5
(B) 2/5
(c);l/5
(D) I
(
Ir) Not Artcmpled
Q 2e. Qua*s arc colour l.iplets whilc Bluons arc
(A) Colour singlcs
(B) Colour doublets
(C) Colour octels
(D) Colour noncts
(li) Nor,\ucmPrcd
Qr0. lhc.x.hangc panicles respoisible lor the colour inieractions are
(A)Cluons
(D) Qu.rks
ll
Q 3 t. valuc ol inlcrsc Laplacc lransform of F(s) =
(^) 0
d*;
al t = ri2 ,s
(B) e-"
(c) e'
O) e"
(li) Not A(cmplcd
Q 32.-lhc cquerion olconstmint in casc ofa panrcle moving a*ay from rhc surircc ofa
sph.rc olradius r' is gircn by xr + y: + zr >
l. Namc lhc typ€ ofconslrainl
(C) Sclcronomic
(D) Non-holonomic
0 ll. 1 h! D.ulrcnrar ic.l rcprescntalion o l D Alenrbcn s principlc is
convcmional meaning.
(^)t,(F,-0,).6rt=0
(B)x'(D'- r,).4.,= o
(c)t,(F, -.,).6pr = o
(D)
r,(ii F,) .6pt = 0
t2
l'hrsicj / Z0Z5
vosrerSet
Q 1.. which oneolrhe below is a gcncralized coordi,ate?
(A) Anslc
(B) Alphabcls
(C)Alphanumcric
(D) All ofrbe abovc
(E) Nor Anempred
Q 35. Noerheas rheorem slale LagmnSian quanliiy is
(A) lnfinite
(B) Non-conse ed
(C) Z$o
(D) Conserved
(E) Nor Anempted
Q16. Thc transfon arion is canonicalif(pdq qdp) is
(A) a pa(ial diffcrential
(B) an cxacr difcrcntial
(C) Borh (A) and {B)
(D) Nonc ofrhcsc
(E) Nor Atlcmptcd
Q 17. TLc I agrdngidn eqLalron olmolion consisB of
(8) Veclor
(c)rcnsor
(D) Maenitude
Q 18. Unpolrrircd loscr lighr Nirh a walclcngth ol632.E nm passcs lhrough lwo lincar
polarizcr posilroncd ar a 3o-dcgree angle relarive lo each olher. The amount oflighl
lransmittcd thrcu8h lhe second polarizer is
(A) 100% ofincidcnt lisht
(B) ?5% ol incidcnr lishr
(C) 500/0 ofincidcnl light
(D) 25% ofincidenl lighl
Q 39. Thc Poisson backcl ofa function, with illelfis identically
(A)Zero
(B) I
(C) Undctcrmincd
(D) Infinuc
(E) Not Arrempred
t4
Physl$/2025
Mrderset
Q a0. Thc La8ranBian L i! $filren wilh r(specr ro any one coordrnalc. \ay qr
.uo,dina,c Symbuls havu eur\rnr onJl mcanrng.
(A) Cyclrc
(B) Non cyclic
(C) Canesian
(Dl Dirercnrial
Q 4r. Onc ofthc Hamilron's (qudr un\ utmorion is
Svmboh have coivenlional
lA)-Pr=lB) Pk = ,;
rL,q[--
Itlq!=;;
(E) Nor Artempted
Q 42. The rclalion bclwccD EDtropy(S) and Themodynamic probabihy(O) is
(Al S = KB I-loCO
(8) S (KB/r) losQ
(c) S = logn
(D) S = Kslogo
(L)
------'-
Q 41. Changes in enthalpy in an exothermic reaction is
(A) Zcro
(C) Constant
(D) NcBative
(ll ) Not Artempted
Q4t. CoDsid$rhc rhree collccrions ofparticles (ensembles) namcd microcanonical.
canonicaland grand canonical. Which one physical properry is coDsranl in allthre€
lA) Tolal number of panicles. N
(B) volumc, v
(D) Tenpcrature, T
(E) Nor Allemplcd
Q.ls. In which srarisrics poniclc arc dislitrBuishablc
(B) Bose-Einstein
(C) Maxwcll'Bollzmann
(D) l:crn}Boltzmann
(li) Nor Auempled
Q 16.
--..- is not an analog to digital convener.
(B) Flash
(C) Countcr
(D)Weishred Regisrcr
Q a7. Ihc gain is high in
-'---- photodetcctor
(A) P-N diodc
(B) P,i-N diode
(C) Photoconductive cell
{D) Aralanchc diode
([) Nor Arrempled
Q r8.
....- his inflnlrc lnpur imnedan(c
(A) IC-555
(Bl lc-7400
(c)lc-74r
(D] UJT
Q49.Hi8hlrcqucncloperalionof--.---.ispossiblcducrosupprcssionofionized
impurity sca(oing
1A) MISFFT
lB) JI':li-f
{C)MODFIJT
1D) MOSFET
17
Phvsica/2025
Mr{t.rS.t
Q 50. ln licquency modulation, frequency oflhe canier wave changes in accordance wirh
lhe insta.oncous value of..-.... of modulaling signal
1B) Amplrtudc
(D) (^) and (l]) borh
(E) Nol Aucmprcd
Qsl. The required band width forAM is ---.- kHz
(A) f.
(B) 2r.
(c) 4 f.
(D) 6 t"
(E) Not xcmptcd
e s2. 1he equations
vrr "uu!- *ff =o ^o o',
"u! "r! =o "0"**
wave cquations solemins the elecrroma,Felic flelds E and tl in
(A) A homoecneous dieleclric medium
(B) A homoscncous conducting medium
(l))A Plasma medium
Q Sl. Iourier cocll'lcienls ofrhe function is represented by
.,.. - { sinG).0< r<r
i\"
l sratr), z<r<o
(A) - - --;--: Ior even n
tB) - --
tor cvcn n
lL ) - --
tor od.l n
lD) -!lforoddn
(E) Nol Attempled
Qs4. lhe cnergy ofbera panicles is
(B) Discrere
(C) Fixed
(D) Single valuc
([) Nol Ancmprcd
Q s5. Which ofthe iollowing esentially gives rhe lo.llowed or forbidden traDsirion
(A) Nonnalization of the wave fu.clion
(B) O.rhonormality of sphe.ical harmonics
r( ,ournr./dron ot Ediarion happeninS in rhe rEnsihon
(D) Time depende.ce oip€nurbation involved in the rmnsilion
(E) Nor A ernpted
Q 56. Wh ich of the io llowing is Fresnel equarion for nomal inciderce of elecbooagnelic
wave at the boundarv of two dielectric media,
lA ) Fk flr:.t) El
(B) ER= (,-,ttr) E,
(cr ER= rii-L) El
tD) ER (_lr! )rl
(f) Nor Aiiempted
rJ: /. Ar ocrr occay proccsscs are
(B) lsoronic
(C) Isorope
Q s8. Il,e b0sic !rincrpl. oldclcction olnculrino is
lAl ln\crsc bcra dccay
(B) Bcra decay
(D)lirsion
20
Phlsi.s/ 2025
NI!e..S.r
Qse. Raman lines at wave numbeB grealerlhan the jncident wave numbers are known as
(A) Siokes
(B) Anli stokes
(C) Rayleigh
(D) Hyper Rayleigh
Q 60. A charged particl€ moves a dielectric nedium wilh refmctive index 1.33 with a
vclocity of0.8c (c is thc speed oflight in vacuum). The Cheren-kov angle ar which rhe
emittcd radiation is obseNsd is
(A) 5'
(B) l0o
(c) 20,
(D) 40'
(E) Nor Altcmpred
Q 61. Considcr a rcgion where rhe scalar and veclor polentials are given by
v(a -;;e*'
and ;(r) = ,4osin (r)i rhc rcsurrins erecrric fierd is
(A) Y(r)(1+ a)i
(B) ?(:+a)i
(c) Y(r)(1+ g)f
{D)
?e-'(i+;)i
([) Not Axcmpted
2t
Q 62.1hc unil ofslew rate ofan Op-Amp is
---...-
(B) voh/sec
(E) Nor A[cmpled
Q6l.llclcroiuncrion RJT dcvices overcome linilations imposed by '.-'--(A) Band gap shrinkaSe
(B) Early erlict
(D) Basc widrh modularion
Q61. Two PN juncrion diodes connect€d back to back cannol be usedas BJT due 10 -..-
(A) Low cmiltcr cffciency
(B) Low cunenr gain
(C ) Early effect
(D) La.se base widlh
(E) Nor arcmpred
!1
Q 65.
----- depends lorils operalion on the rectiS,ing barder formed belween mcial and
(A) MOSFET
(B)J[Ijr
(C) MIJSI-'ET
(D) CMOS
(lr) Not Axcmptcd
Q 6ti. Lmtili.al rclarion ol mean. modc and median paramelc^ is
- 3 (Mean Median)
'node
(B) Mcan + mode= 3 (Meai Median)
(A) Mcan
(C) I4can modc = 3 (Mean + Median)
(D) Mcan + modc = 3 lMca. + Mcdian)
(E) Nor Alempted
Q 6?.
--,--- requircs a direcr band 8ap semiconducror for ns consndion.
(B) PhoLodiode
(C) SCR
(D) LED
lE) Nor A[empled
t.l
Q 6E. The relalion between Pellier coemcient (,r ) and $ermoelecfic power (e) is
delemined by _.
(A) /, = QT
(B) 1t=Q/T
(o 7.=QT
tDj 1t=T /Q
(t) Nor Anempled
Q 69. l hc l lciscnbcrg picture is obtained by choosin8 lhe unilary operator as
(A) 11r.ro)
(B) r (r.r,)
(C) Y1(t)
lD) t/(t,t.,)Y t(t,t a)
(E) Not Aucmpted
Q ?0. Tl'c Synchrotron radiadon power varies as
1A) I
(B) -2
(c) o
(D) 2
Ii) Nor Anempred
(
2.1
olradiu( of the pafliclc
Q 7l. Ihc lolalenergy released perbumingofone hydrogen nucleus in the ppl cycle is
(A)9llMcV
(B) 6.55 Mcv
(C) 26 Mev
(D) 8.5 Mcv
(ll) Nol Ancmpted
Q r2. Thc lcplonic number for positron ard anti-neurino is
(^) -l
(B) rl
(c) 0
(D) 2
(E) Nol Artemptcd
Q 71. C( -!cFNuuaLl lds 8i\cs rclcrion berween
(A) RaDge and life lime ofalpha-emilting element.
(ll) Mtrs und rungc ofalpha-cmitling clcmcnr
(C) Mass and life lirne olalpha-emittin8 elemenr
(D) Lilc iime ofthe alpha-emitting element
Q ?4. Thc magic nucleihaving zero electric quadrupole momc.t has
(A) Ellipsoidal
(B) Cylindrical
(C) Spherical
1D) Toroidal
(E) Nol Anempted
Q ?s. lf q and qr are seneralised co-ordinat$ and p I aDd p, are corresponding
gcncfaliscd momcnts. find [x, Yl=.......... whcrc x = ql+qSandY=2h+pz
lB) 4qi + 2qr
C) ap: + 2q]
lD) 4pt + 2t|
(f) Not Ancmpred
Q'76.l{amilron\ principle funcrion S'and Hamilron\ Characte stic funcrion W for
consenalive system are related as....
(B) S=
w Et
(c)s=w+Er
(D) S is not rclaled to W
(E) Not Attempkd
whcrc E h lhc lotalenergy and 1is thc tim€.
l('
Pht5ics/2025
Q 17. Thc conslrainl on abead on a uniformly rotatingwire in force free space h
(A) Sclcronomous
(B) Holonomous
(C) Rheonomous
(D) Non-Holonomous
(E) Not Attempled
Q 78. Which statistics lollows Pauli3 Exclusion principle?
(A) Ircrmi Dirac
(B) Bosc Einstein
(C) Max\!ell,Boltzmann
(D) Iiernli-Uolr^Dnn
(F) \or A(emptcd
Q ?9. lhc phasc spacc rcfcu lo
(A) Position coordinalcs
(B) Momcnrum coordinates
(C) Borh position and momentum coordinates
(D) Ccncralizcd coordinares
(li)No( Ancmpred
Q 80. Thc Klcin-Oordo. equarion can be used for panicles
(B) Quarks
(D) Nculrons
(E) Nor Aticmptcd
tl
like------
QEl.The numberofways in which,ry identical bosons can be dhtributed in two energy
(A) N+ I
(B) N (N+l)/2
(c) N(N I )/2
(D) N
(E) Nol Anempted
Q 82. Saddlc point
(B) Coftesponds ro oscillatory oorion
(D) Concsponds to dampcd oscillarory motion
(E) Nol Anempled
Q 8.1. A nr.rillc ol hrss
n ; mo!ing in a planc and arbaclcd rowards rhe origrn ol lhc
coordinatcs vilh a tbrce inversely proportional lo the squarc ofthc distanc€ fiom it.
'l'h.l.rcmngidn oflhe ststem is
si!en by....
\N:m(i'z+to'z)+!=o
@ :(i, + r,0,) +L = o
o:m(i'?+r'?''z)t=o
(D):m(i'?+rtrr*=o
(Fl) Not Atlcmprcd
28
Phldcs/2025
MrsrerSct
Q 84.
_- is ih€ Maxwell equaion derived ftom Amperos law.
(A) Div(l) = H
(B) Cu (H) =J
(c) cu'l(B)= D
(D) Div(H) = J
([) Nor Anemplcd
Q E5, Consider the elementary particle int€radio, p +,,t
J E +K' and identify the
(B) r'
(c)
"'
(D) r
(E) Not AtrempEd
Q86.Thc (,angencsqunrlm number rsconsened,n
{A) Srrong. seak and eleclromaSnetic inleraclrons
(B) Wcak and electomagnetic int€mciions only.
(C) Slrong and wcak inrenciions only.
(D) StronS and elecromagnclic irteraclions only
(E) Nor ArtcmPred
Q87. Thc Reaclion
o+r-r: +p
lA, B lorb,ddcn bccausc olrhc law olchargc conseruauon
(B) is forbiddcn because ofthe law of stranseness co$edation
(C) is forbidden becausc ofthe lawofisospin conservarioD
(D) is allowcd
(E) Not Attempled
l')
Q 8E. A baryon X decays as X
)Z' + ,tr + 7, The rhird componenr of hospin (/, oix is
.
(A) 0
(B) li2
(c) I
IDJ 3t2
(E) Nor Auempted
Q 89. In the WKB mclhod lhe apprcp.iale solurion throush a scrics expansion in poweB of
h breaksdown near -.-.---'-.
(A) Zcro loral eners/
(B) Zero I'olen(ial energy
(C) Classical ruming poinr
(D) h -0
(E) Not Attcmpred
Q e0. The acrion of a unirary operaror on any state ]y/ ) leaves it
(B) Projecrion
(C) Phasc
(D) Prcjedion and phase
(E) Not Altempled
--''---' unchanSed.
Q9l. Which oflhe Iollowing is the examplc ofhigh temperature superconduclor?
(A) YBCO
(B) CaAs
(c) si
(D) Ge
1!) Nor A$emplcd
Q 92. Andlysis ofX 6y diffractogmm ofa cryslalline marerialgivcs inrc8er vatues
lbr (h: + k': + l,) coEesponding to different Bragg angtes ro be
3.4.8,I 1,12,16,19,20....The Bmvais la{ice for rhe materialwill b€
(A) Facc-ccnrrcd cubic
(B) Body-ccntrcd cDbic
(C) Simplc cubic
(D) Diamond cubic
(E) Nol AlrcmPrcd
Q 91. Which otlhc followinS h rhc expression for the conlinuily equation?
(A) p+J=o
(B) dp/dl+ div.J:0
(C) dp/dP J = 0
(D) P+divJ=0
(E) Not Artempled
Q9,1. The sum ofacomplex numberand its conjugate is
---__-
(A) Complex
(B) zero
(C) Real
(D) ImaEinary
(l) Nor A(cmprcd
Q 05. Nu n'J Jr \c coll6 und decay Ln lase6
(A) lncreases excited stare life ritue
(B) Dccreases excned srate liie rime
(C) Docs not changc life time
(D) Depends on rhe medium
Q 96. A poinl sourcc or char8c can be identified using a Dirac D€l1a funclion. Ifa poinl
chargc q is located a1,
(A) 0
(B) q(2)
(c) q(-2)
(D) q(o)
(E) Nol Altcmpted
= 2, rhed the rclarion I;6(r)q(r)dr gives_.
Q e7.lIc Laplace transform is a
(A)Laplacian opcrator
(B)Non iincar opcralor
(D) Eigcn opcrator
(E) Not Anemplcd
Q 9E. Which ofthe following lasers will have the highest cohereDce length ?
(A) Nd-Glass
(B) Scmiconductor
(C) Dy.
(D) Hc-Ne
(E) Nor Altempted
Q 99. Brcwsler angle represenrs $e angle ofincidence at which
( ) In-plane electric field component is absenl in the €flecled lighi.
lB) our ofplaD. clcctric ficld componcnh is absent in the reflected light.
(C) Borh in-plane and out olplane elecrric field componenls are absenl in the
reilecled lighr.
(D) Boih in-plane and out ofplane electric field components are ptesent iD the
rcflcclcd li8ht.
1l:
) Nor Atrcnrptcd
Q lo0.The enerSy of a rhree dimensional harmonic oscillaior state is thrrl 2. then it is
(A) 6 lbld dcscncmrc
(B) 15 tbld dcgeneratc
(C) l0 fold desenersle
(D) 2l fold dcsenerate
{E) Nor Ancmptcd
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