MP SET 2025: State Eligibility Test, Physical Science
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Kt.
R/P/P/2025/II Question Booklet No.
Subject-PHYSICAL SCIENCE
SET A
Paper II (Optional) 252304073
^-23
•5TR
Subject-Cod8-23
Name
SPTTT ^^
, Candidate should write his/her
Roll No. Roll No. in the given boxes.
■gf^ ^ffeMl/No. of Printed Pages : 40 yoMi/Total No. of Questions : 100
Tm : 3 ^ ^ gjnf^/Maximutn Marks : 200
Time Allowed : 3 Hours to complete both 1st and Ilnd question paper
1. ^ «?TO3Tf-^ ^ if Tpft t I atrrft gf^iiT^ grtf ^ ft
2. W teeT f 1 ^ H «IflT t I 3iR TftT-Tragt ( 3tt.l(ir.3TTT. W ) ^
^ ^ ^ ^ "^STHr ^ 1 , ^ ^ . a. &
3. ^ ^ f ftraR ^ fhdi«*>t 150 anPre xrarr ^ t xtm tivt 2 ^a»rt ?w
XITTSTPraTtft l?^^-3m^^2 3Ta»f^^3II^ I XTV^ % ^ 3T9> t 1 :iiV\W* ^
^f 1
^.Tj^ I Timpa Ti?T-Tra (xr?^ fw i-so )
11 xrit^traf ?TTT "^raPnr an xi?^-TiT (xT?n xftar SMSO) ^ ^
a. fwn-gfetan if
ate ^
tpsitf^<<«4<
anar^i^' i araar
at ayrfi■% a#
^11 TtrnF^ ^snat1
ft? ■^EtfVT^-^nan tmum .am ^ i
ait ^ "H^n-gRaan
5 ^Bw aar-aia; (3it.ga.3tiT. Tft?) ar frafffa wiaf at ft snayaat af^rtear a;^*, .apa wat ar i
6. aft^^wan^aTa-gf^^Mfta^ar^aif, 3paaa5^a^aaiaaT-aa(^^.OTTjn?)a^a£i
7. ava if f^rat aanr ^ '^'a at tT®tTta^ aaiTT ^ at a^a ^ aar afu^ "^iafrRi H "R 16^ ^aTttr
^ Hn<»> Hill mgat I ^ ^ .
8. ^ aanr an eifa tact a ftpft aanr ^ ^^ra?r^,f^a^ an aataaf^ t i .
9. ata snaaRt a?a-gfw xatct^ an -ar^ aa% ayani^^ aar-ana; (sn.ga.anT. rit?) a aar an taPga atta at
iaH ^ "sii^ ^ w aata aif i
10. aftijn aaiat ayaig 3tt.T^.3nT. "yfta at^ ^ afn^ ft artaar at^ t
11.aaT-aaai (^.T^.anr.) ar Tar ^ ^ a# ag an ar^H atrar ^Hryrin \
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carrie8-2 marks. Both the question papers and all the questions are compulsory. Two (2) marks shall be
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for Negative Marking. xi ^ rn\
PaperI General paper ^ (Q. No. 1-50)
Paper II Question paper on the Subject opted by the examinee (Q. No. 51-160)
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U.Brfwe MswSbig Sheet) ensure to foUow the instructions given for that.
(N)S/23/2025/A
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(SPACE FOR ROUGH WORK) (N)S/23/2025/A
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51. The eigen values of the following real 51. PlMPeinsld dlWPddi M ^
matrix M are :
(311^ 1TH) t :
0 1 0 1
M= M=
-1 0 -1 0
(A) 1, / (B) /, 1 (A) 1, ^- (B) /, 1
(C) i,-i (D) 1, 1 (C) /,-/ (D) 1, 1
52. The given matrix M satisfies the Cayley- 52. W 3R1^ M ^
Hamilton theorem :
-11 -10 5 -11 -10 ,5
M= 5 4 -5 M= 5 4 -5
-20 -20 4 -20 -20 4
and the eigen values of M are : M^ flH (3Tl^ W])
4,- 6,- 1, then ; f : 4,-6,- 1, TR :
(M-4I)(M +6I)(M +I)= ? (M-4I)(M +6I)(M +I)= ?
(A) O (Null matrix) (A) O(^ -^f^)
(B) O (Zero) (B) 0(^)
(C) 1 (C) 1
(D) |M| (D) I'M I
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53. The Leg^ndre's equation is given by : 53. ^H41=b<u| W t:
(^l-x^^y"-2xy'+n(n +l)y =0 ^1- jy"-2xy'+?i(M +l)y =0
and the solution of above equation is ^H41=h<u| ^ ^
represented by Legendre Polynomials ^ ^
P„(x) of degree n. mw % I
If we plot P„(x) with l), then P„(;c) ^ x(-1,1)
which of the following statements is ^ f, ^
correct ? ^ t ?
(A) - Pq(^)= 1 and P2(:*:) is a straight (A) Po(:*:)= l P2W ^ ^
line with slope of 1. t pJKHctil "51^ 1 "I 1
(B) Pq (jc)= 1 and P2(^) is a parabola. (B) PoW^l W P2 W ^ 11
(C) Pi(x)= X and P2(:c) is a straight (C) ?i{x)= x ?2{^) ^
line. t 1
(D) Pi{;c)=l and P2(:c) is a parabola. (D) Pi{x)= ITT^* P2(x) t1
54. Fourier cosine transform of the function 54. WT /(;c)= e"°^ a>0) m
. f[x)= e~^ (where a>0) is given dHi4)T4 :
by :
a
a
2 2
Ka -co ;
(A) ? 2
a -w
a
(B) ?
a
2
(B) Jf 2
Va -CD y
2
a -0)
a
a
(C) 2 2
, 2 Va +C0 y/
a 4-W
(D) jf Va +©
a
(D) 2
a
2
+C0 y
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55. The value of integral : 55.
i
^C z + \
■dz
I.t z +l■dz
where C is the circle | r [ = 2, is given "qpT, C ^ \ z \ =2
by: 5V11 t
(A) 271/ (B) 27t/e (A) 271/ (B) 27r/e
(C) 71/ (D) nie (C) 7:/ (D) nie
56. An urn contains 6 white (W) and 8 black 56. 6 (W) 8
(B) balls. If three balls are picked up one (B) I ^
by one but without replacement randomly "fer
from the urn, what is the probability that ^^ ^ "sncTT t, ^ ^
first two of them are white and the third t 1^ ^ ^
one is black ? ■d8^T "dtofr cuieil .?
(A) 05/91 (B) 07/91 (A) 05/91 (B) 07/91
(C) 08/91 (D) 10/91 (C) 08/91 ■ (D) 10/91
57. Which one of the following is the 57. PHHrdRsld
Poisson equation for the electrostatic
potential ?
i?
(A) V2<|, = ^ (B)
i (A) (B) V^ = pso
(C) ^ '1' = — (D) ^ ^ = (C) =^ (D) =
^0 ^0 ^0 ^0
where p = charge density. p = 3TT^
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58. Using Newton-Raphson method, the 58. ^
roots of the equation
;c^-2x-5=0 ■ x'-2x-5 = 0
are : (roots)^ :
(A) xi =2.1, ^2 =2.094568 (A) JCj =2.1,^2=2.094568
(B) X] =2.1, X2 =2.114568 (B) xi =2.1,^2 =2.114568
(C) =1.2, JC2 =1.194568 (C) xi =1.2,^2 =1.194568
(D) a:i =1.2,^2 =1.214568 (D) xj =1.2, X2 =1.214568
59. Which one of the following is not a 59. Pi*^fciRaa ^
tensor quantity ? t ?
(A) Stress and strain (A)
(B) Piezoelectric and dielectric
susceptibility
(C)
(C) Moment of inertia
(D) Temperature (D) cTFRH
60. Which one of the following matrix is not
a Pauli Spin matrix ? ^i ?
~o r "0 -f '0 r "0
(A) (B) (A) _1 0_ (B)
_1 0_ i 0 i 0_
"1 0" 0" "1 0" "/■ 0"
(C) (D) (C) _0 -1_ (D)
_0 -1_ _0 i 0 /
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65. Which of the following statement is true 65. ^^ fFTfvfel
regarding the Coriolis force ? ^ t ?
(A) It is a velocity dependent force. (A) 'y.=h' "§
(B) It does not do any work. (B) ^ ^^ WT t I
(C) It is a Gyroscopic force. (C) ^t I
(D) All of the above (D)
66. Which of the following equation is used 66. "^2^ ^ ^ ^ 'v' fl^
to represent the Coriolis force on a body
failing with velocity 'v', near the surface -1^ rdHPeinsld ^ ^
of the earth ? (Given : Angular witn fen ^ t ? (fel "W i :
momentum of body is co.) ^^ "nfd 0) t I)
(A) 2ma) x v to the North (A) '2/77(0 X V "3^ ^
(B) 2mv X CO to the East (B) 2/77V X CO "i:j4 fe
(C) 2/770) X V to the East (C) 2/77(0 X V ^
(D) 2mv X ft) to the North (D) 2mv X CO 33^ ^ ark
[\l-(5)S/23/2025/A P.T.O,
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731 Two electric fields are given : 73. ^ "HTT f :
• (a) ei==K(xyx +2y2y +3xzz) (a) ^i=l^[pcyx-\-2yzy-\-3xzz)
(b) x+i^2xy+z^^y+2yzf^ (b) e2=K.^y^ x+^2xy+z^^y +2yzz'^
Here K is ■ a constant with the 'm K
appropriate units. Which of the follow
ing statements is true for this ?
■ t ? •
(A) Only (a) is possible electrostatic
field (A) (a) ^t
(B) Only (b) is possible electrostatic ■ (B) ^5^ (b) fw%r ^ t
field
(C) (a) (b)
(C) Both (a) and (b) are possible
^t
electrostatic fields
(D) Both (a) and (b) are impossible (D) (a) 3lk (b)
electrostatic fields ^t
74. Three charges are situated at the comers 74. ^ qqr
of a square (side a), as shown in figure "t, "dki a) ^
below. How much work it take to bring qr I 37T^ + ^
another + q from far away and place it ^^^ ciqr '4*
in the fourth comer ? %qT "^kn :
(A) (A) -(-2+1/V5)
4iieo a 47: Go a
2 2
(B) (B)
4iieo a 47t Go a
2 2
(C) 47t €o a -(2+1/^) (C)
47: Go a
2 2
(D) An €() a (D)
A% Go a
(-1/VI)
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77. Figure shows a triangular prism of glass
in air and an incident ray enters the glass IWMh to t STNto ^^
perpendicular to one face and is- totally
reflected at the far glass-air interface as "qr "'jyl ^loRcti 4uq[^o
indicated. If is 45°, the index of ^t I 01 = 45° t, ^^^
refraction n of the glass :
Air ^(Air)
• - a:is-ly •.^;y
Jm- M-
/i \ /i \
R R
Glass (Glass)
(A) n > 1.4 (A) n > 1.4
(B) K = 1.4 (B) n = 1.4
(C) n < 1.4 (C) n < 1.4
(D) None of the above
(D)
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78. If a proton is fixed in a position and an 78. feft iWd TK
electron revolves about it in a circular
path of radius 0.35 x IQ-IO m, the 0.35 X 10-10 m ^ "qa? ^ mRsHHuI
magnetic field at the proton will be : t, ^ ^^:
(A) 35 T (A) 35 T
(B) 35 gauss (B) 35-TO
(C) 0.35 T ■ (C) 0.35 T
(D) None of the above (D)
\
79. A Hertzian dipole of length 5 cm is 79. 5^ ^
driven at a frequency 1.50 MHz. The 150 MHz 3TT^ -tR ^'xiiRrld t I
peak current in the antenna is 30A. The ^ 30A t 1 sfto
average radiated power will be :
(A) 300 W (B) 200 W (A) 300 W (B) 200 W
(C) 222 W (D) 322 W (C) 222 W (D) 322 W
80. Ifa laboratory plasma has a density of10^^ 80. ywlPlch ^ IQlS
electron/m^ and a critical frequency ^ ■d/H<=h Rriq StilRlch 31T^f%
(/^) 9 X 10^ c/s, then the maximum (Q 9 X io9 c/s cit
penetration depth (5) will be (5) ^ (^3Rf^ 0)^»a)^')" :
(when (iPp »(0^):
(A) 0.53 m
(A) 0.53 m
(B) 0.5'3 cm
(B) 0.53 cm
(C) 0.53 mm (C) 0.53 mm
(p) None of the above (D) ^ ^
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83. If the matrix 'A' is given as : 83. 'A' qit
^0 -I 0^ Iqjqr f :
A= i 0 0 '0 -i 0^
0 0 0 A= i 0 0
0 0 0✓
'then the unitary 'U' matrix, that \
diagonalizes the matrix 'A', will be : fit qchi^ch c^frol) 'U' %
'A' WT t, ^ :
f\ 0 2^
1
i 0 2/ 0 2'
(A) ^ j_
0 1 0 0 2i
(A) ^
1 o>
1 0^
0^
0 0 , ^/2
(B) V2
1 / 0 .(B)
1 / 0
J
f\ i 0^
1 / 0^
0 0 yfl
(C)
\ .-i 1 (C)
1
J
1 0 1 0 1
/■ 0 -/
J_
0 -/
(D) V2 (D) ^
0 ^/2 0 0
84. According to Ehrenfest's theorem, the 84.
correct form of this equation is : t:
d! \ 1 ldv\ d/ \ 1 /dv\
(A) (A)
d/ V /5v\ d/ V /5v\
5-w-y
d, I /5v\ ^/ \ /^\
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85. Consider a particle of mass 'm', 85.
executing simple harmonic motion. If 'A:'
^^ ^ 'A'
is force constant of oscillator and 'x' is
^ 'x' t I
displacement from mean position, the
Hamiltonian operator is 'H' and sMst 'H' w
momentum operator is P,then the value sffqte P ^ » H]^ tTFT_
of commutator , H J will be : :
~ih? ih? -ih? ih?
(A) (B) (A) (B)
m m m m
ih . — ih — ih — . ih
(c> -5;" -n;"' ™ J."'
86. The degree ofdegeneracy for an eneigy level 86.
ofan hydrogen atom can be expressed as (ferM)^ ^ fen w
(here n is the number ofenergy levels): « "3)^ :
(A) (A) rP-
(B) (2«+l)' (B) {2n+\f
(C) |(2«+l)(2« +2) (C) i(2«+l)(2« +2)
(D) i(n+!)(« +2) (D) ^("+!)("+2)
87. If and are Pauli's spin 87.. •qf^ CT^, CT_J, CT^T CT^- ^
matrices, then which of the following t, ^ ferfefe ^ ^ qfen
commutation relation is correct ? ^ #TT ?
.(A) a^]=0 (A) [a^, cy^]=0
(B) [o;„CTj,]= CT^ (B) [a^,cT^]=(T^
(C) [a^, CTj,]= 2a^ (C) [a^,ay']= 2a,
(D) \p^,Oy'\ = 2ia^ (D) [cT^,a^]= 2/CT^
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88. In a classical case, the total scattering 88. 'cr' "bIh ^
cross-section 'ct' from a solid sphere of
3;135I^ To 'ct' 1^2#
radius 'a' is na^. For the quantum
71^2 ^ t I wsi?
mechanical system for S-wave scattering,
S-cl^ ^ %tT a ^ "fWt :
a is given by :
(A) na^ (B) 2na^ (A) na^ (B) 27tcf2
(C) 4na^ (D) 6na^ (C) 471^2 (D) Sna^
89. According to Fermi-Golden rule, the 89. ^
transition probability per unit time is : W1 ^ WTUT yiRlcbdl #Tt :
(A) yp(q^|(t|H'|/«)p (A) yp(Af|(A|H»|^
(B) fp(-q|(i|HV)|' (B) yp(q|(i|H»f
(C) [yJpW|{ilH»l (C) [yJp(q|(i|H»|
(D) Constant for all time (D) WT -tR
90. Dirac relativistic equation for a free 90. "3^ ^^ ^
particle can be expressed as :
(A) '' d —
+iSca-V ^
+Pmc^jH;|- (A) +/^ca-V +Pmc Jm/j-
( d - 2^
(B) +/Sca-V-p»ic ^j=0 (B) (1^/^—+/^ca.V-p/«c
d ~ 2^
J\Kj-^j=0
(C) (C) (ca-:?-pmc2)H;(-,)=-BV(-^
•(D) +
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91. First order phase transition is an : 91. -H'sbM"! t :
(A) Isothermal and isochoric process (A) iromhr sffr
(B) Isothermal and adiabatic process (B) wmmN
(C) Adiabatic process (C)
(D) Isothermal and isobaric process ■ (D) sfrr
92. According to Planck's law of black body 92. ^ ^
radiation, a hotter body radiates :
(A) Most of the energy in the longer
wavelength region (A) ^
(B) Most of the energy- in the shorter (B) 37f%ict)iVi "3)^ ^
wavelength region
(C) ^ ^ ^ WT
(C) Equal amount of energy in all
regions of wavelength
(D) 37^77?! 37^ TTtr ^ "4'
(D) Energy in bands separated by gaps I
93. In case of Bose-Einstein condensation : 93. ^ :
(A) Number of particles increases in (A) ^ diMHM 3fk ^ "qr
lower energy levels at low "33^ ^ ■yVsMi ^
temperatures and high pressures^
t I
(B) Number of particles decreases in
,(B) ^ WTF sfR "qr ^
lower energy levels at low
^ "q^ ^Fsqi t" I
temperatures and low pressure.-
(C) Number of particles increases in
(C) "3^ WTH ^ ^ "qr
lower energy levels at high iTR "qr ^ iFsqi ^
temperatures and low pressures. t I
(D) Number of particles decreases in (D)' ^ dlMHH 3ff7 ■qTO 'qT ^
lower energy levels at high "STilf "q^ ^ "TFFTi ^sTTdt
' 'temperatures and hi^ pressures. • -t I
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94. The quantum statistics reduces to 94. Pi^-iRrtRsia ^ficiT
classical statistics under the following ^ f^X^TTiTcT "4* ^
conditions :
(A) PX,^=1 (B) (A). ?X^=\ (B) •
(C) P).3«i (D) P = 0 (C) ?X'«1 (D) P = 0
95. Which statistics will apply to deuterons 95. aik a-^rqf fr*
and a-particles ?
(A) Maxwell-Boltzmann (A)
(B) Bose-Einstein (B) ■
(C) Fermi-Dirac (C)
(D) Both Bose-Einstein and Fermi-Dirac (D) 3fk
96. Canonical ensemble is related to : 96. oh'iifMcticn 5 ?
(A) the size of system (A) fem ^ 3TOK
(B) the freedom of the system (B) teFT ^
(C) the number of particles in system (C) ^
(D) thermal equilibrium of system (D) feFT ^ cTNkr
97. Which of the following relation is true 97.
between free energy F and canonical ^ PinrdRsId ^
partition function z ? ^t ?
(A) F =-—logz (A) F =-—logz
(B) F= iBT^^logz (B) F = A:BT2^1ogz_
(C) F = -iTlogz (C) F = -kT\ogz
(D) F = CT-^logz
0\
(D) F = ^T-^iogz
o\
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Text of page 23
98. Given that : 98. "W t :
H = enthalpy of the system ■ H= ^
T = MtHdNHH
T = absolute temperature
S = entropy
s = -q7^
G = H - TS,fePT ^ ^ fw
0 = H - TS, is the Gibbs' function
t I
for the system.
In the case of a reversible, isothermal,
:
isobaric processes :
(A) G =
(A). G = constant
(B) G>0,sik dlMHIH HPwMd
(B) G > 0, and changes with T
(C) G<6,3fh: ^ HST "qR#*!
(C) G < 0, and chants with S
(D). G, dlMMM TI8IT ^
(D) G changes with both T and S t
99. A refrigerator works under a reversible 99. ^ ■4"
cycle between the temperatures 300 K
300 K 400 K ^ ^ ^
and 400 K. The thermal efficiency will
t I ^5^ :
be:
(A) 0.50 (B) 0.25
(A) 0.50 (B) 0.25
(C) 0.65 (D) 1.25 (C) 0.65 (D) 1.25
100. Which of the following variables is not 100. rdHPvlRsId ^ ^ ^tHl'irddi
a thermodynamical variable ? ^^ t ?
(A) Temperature (B) Internal energy (A) diHMH (B) ^I-dRdi" "3)^
(C) Heat (D) Entropy (C) (D)
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105. Which one of the following molecules 105. PiHPdRsld' ^^
does not exhibit a rotational spectrum ?
(A) H, (B) CO (A) H, (B).CO
(C) HCl (D) HBr (C) HCl (D) HBr
106. The splitting of a spectral line in the 106. ^^ ^3^
presence of an electric field is called : ^ fWn'm ^ "^ncTT t ?
(A) Stark effect (A) TITO
(B) Zeeman effect (B) TITO
(0) Paschen-Back effect (C) TITO
(D) Raman effect (D) "TO TITO
107. The intensity of spectral line will be 107. tel TO STfecPT #cft
maximum if : t ? •■
(A) AL = - 1; AJ = 0 (A) AL = - 1; AJ = 0
(B) AL = + 1; AJ = 0 (B) AL = + 1; AJ = 0
(C) AL = + 1; AJ = - I (C) AL = + 1; AJ = - 1
(D) AL = -1;AJ = -1 (D) AL- - 1; AJ- - 1
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Text of page 26
108. The rotational energy levels of a diatomic 108. ^
molecule are : f:
(A) Continuous (A) Mr
(B) Discrete and Equispaced (B)
(C) Discrete and Non-equispaced (C) "^81^ 7?^'
(D) None of the above (D) ^
109. An X-ray tube operates on 30 kV. The 109. 37rMT ^ ^
minimum wavelength of emitted X-ray ^RTT^tT, ^ M 30
is : ■ TR ^:
(A) 0.133 A (B).0.4 A (A) 0.133 A (B) 0.4 A
(C) 1.2 A (D) 6.6 A (C) 1.2 A .(D) 6.6 A
(Constant given : h = 6.6 x 10 J/sec, . (Rqcll4) M t th = 6.6 X 10-34 J/sec,
■ e = 1.6 X 10-19 j, c = 3 X IQS m/s) e = 1.6x 10-19 J,c = 3 X lO^m/s)
110. The selection rule of an orbital quantum 110. 7t^ Hi#!
number for electronic dipole transitions wm ^ WSR ^
in a single electron atom is : w ^ Mr t :
(A) A/=0,+l (B) A/ =0 (A) A/= 0,±1 (B) A/ =0
(C) A/= -hl (D) A7 = -l (C) A/ = +l (D) A/ = -l
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111. The structure factor for graphite is : 111. ^ lynfe t :
(A) (A)
(B) + ■ (B) +
(C) + (C).
m(i+/)
(D) ^hkl =/o
7rj(/j+/) jti(A+^+/)/2 ni{h+l) ni{h+k+l)/2
+e +e T* w
7r/(3/»+3it+/)/2 m(/j+3A+3/)/2 _^^m(3h+3k+l)/2 ^ni{h+3k+3l)/2
+e I ^
^g7wt3A+A+3/)/2j ^g7tj(3/i+A+3/)/2j ■
here symbols have their usual
meanings. t I
112. The potential energy of a system of two 112.
atoms is given by : <si^l :
u=-A, B u=-4. ®
R® r'^ ■
If the atoms form a stable bond with ^^ TFTt t I ^ ^ Wir3
bond length 3 A and the bond energy
1.8 eV, the critical separation is given ^ ^ 1.8 eV t, ^ shlfdcti
by: aiePM R^ ^ RH t :
(A) 1.33 A (B) 2.33 A (A) 1.33 A (B) 2;33 A
(C) 3.33 A (D) 4.33 A (C) 3.33 A (D) 4.33 A
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113. The temperature Tq at which the specific 113. cimR Tq, -fm ^
heat of free electrons becomes equal to PqRit^ ^
the specific heat of the lattice in terms ^ t, dlHHH 0
of Debye temperature 0 and Fermi W dlMHH Tp ^ ^
temperature Tp is : t:
5 9^
(A) To
T„ = .. ^0
(A) T ^^5 2 9^'
2471^ Tp 247c^ Tp
1/2 1/2
1 f5
c_^
q3 ^ 3>
12 Tp (B) To=^ Ai.
12 T.
5^
(C) =^v^Tp, v^Tp,
1/2
5_^3 > / - -3nI/2
(D) To=.
671 Tp (D) To=l AA
671 Tt=
114. The Hall coefficient of lithium BCC 114. BCC -^llelch f^fWT
lattice with lattice constant a = 3.49 A, a ~ 3.49 A.■!, ^ ^criq^d "5#
when it contributes one electron per atom ^<dl t", "3^1^ "^TFI "5%^ Rpj ^
is : • RH t" :
(A) Rh = - 1.48 X 10-24 n^3/c (A) Rh = - 1.48 X 10-24 ^3/c
(B) %= - 1.328 X lO-lo m3/c (B) Rh = - 1.328 X 10-10 jn3/c
(C) Rh ^ X IQ-IO j^3/g (Q Rj^ — — 1.48 X 10-10 m^/c
(D) Rh = - 1.328 X 10-24 jj^3/c (D) Rh = - 1.328 X 10-24 rnVc
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115. Consider the fonowing statements for the 115. ^^ ^
Drude theory of electrons in solids :
(i) ^ ^
(i) Drude theory" views electrons in C\
solids as a gas of free particles.
tr
(ii) Drude theory assumes that the
specific heat contributed by each 'ele
ctron is given by equipartition theorem.
IqeiMiq nH<aia OT ^ "I I
(iii) Drude theory describes the electrons /
(iii) Cv
in solids by the kinetic theory of
i
gases.
f^r^TT ^TTcIT ^ I
(iv) Drude theory considers the electrons
(iv) ^
<N
■ to be a gas of quantum mechanical
free particles. t I
Which of the above statements isfalse ? ^?
(A) (iv) ■ (B) (i) (A) (iv) (B) (i)
(C) (iii) (D) (ii) (C) (iii) (D) (ii)
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116. Assuming that the probability per unit 116. sSk
time for a collision between the electron
and a certain defect is —, where x is the T %, "dl dt
T T
relaxation time, then the probability that
the electron will not collide with defect
during time interval dt is : ^ ^ yiRjchdl t :
(A) P(rfO =f (B) P(rf/)=1-^ (A) P(^0=7 (B) =
(Q p(t/r)= elfl-^1
^J(D) ?{dt)=e T
^{dt)= e^
(I-—1
P{dt)=e ^
117. The second Brillouin zone is defined 117. ^ -qffviTfM
between the regions : t:
,.^ 27c 7t n 2k
(A) to — and — to (A) ^ 3lk - ^ —
a a a a a a a a
K 2k K . 2k
(B) - to —
a a a a
' 2k k 2k ^ K
C) to — (c ^—
a a
a a
^ 71 . 7t
(D) a
to -
a
(D
a a
118. Meissner effect is related to the :
118. 31^ TidTm t :
(A) Optical properties of super
conductors (A) ^fd^Mdi ^ i{
(B) Magnetic properties of super
conductors (B)' ^Ri-qiQi=h ^ "jpif
(C) Thermal properties of super
conductors (C) ^fd^ldd) ^ cINt^ ^
(D) Electrical properties of super
conductors
(D) ^ Id^dl^
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119. The onset of superfluidity in liquid 119. (He"^) ^rddiddi ^
helium (He'^) is characterized by : • t:
(A) Sudden discontinuous increase in (A) m WIPT T^
the' value of specific heat as
temperature increases beyond T^. I
(B) Continuous gradual increase in the (B) ^ -mwr T^ ^
value of specific heat as the
temperature increases beyond T^. I .
(C) Sudden discontinuous increase in (C) diMHN T^ dW "Miai
the value of specific heat as
temperature decreases below T^., 6i<Sdi I
(D) Continuous gradual increase in the (D) aiMHN dl"^
value of specific heat as the
the temperature decreases below T^. I
120. Edge dislocation is defined as the 120. qR-HlPld t,^
. dislocation produced by : 6^dl "i" t
(A) The slip of one atom distance over (A) M-Wiuj, ^ r^sl4Hd)dl
the left half of the slip plane but not WT ^ ^ "^f ^ f, ^
over the right half plane. aqsf qm ^ ^ ^ 1
(B) The slip due to shearing of one half (B) ^ ^ sp} w
of the slip plane parallel to the edge ^ .Rsl^-^dl f WTT^ ^
by one atom spacing. ^ 1
(C) The absence of an atom or ion from (C) WTr3 srm ^
its lattice position. T«TPT "5^ ^t I ■
(D) The transfer of an atom or ion from (D) ai2M aiFH
its lattice position to an interstitial mk TSlH ^
site. ^ vm -qr ■=^ ^ 11
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Text of page 32
121. The most intense alpha particles emitted 121. 738^ ^ ^
238
from 92 U have 4.2 MeV energy. ^^ 4.2 MeV t I
The relative velocity (in m/s unit) of
these dpha particles is : ^*) t ;
(A) 1.42 X 105 (3) 1 gg X 105- (A) 1.42 X 105 (3) I gg X iqS
(C) 1.42 X 107 (D) i_g6 X 107 (C) 1.42 X 107 (D) 1.86 X 107
122. The Compton wavelength ofthe neutron is: 122. ^ ^ ;
(A) 1.22 fm (B) 1.32 fin (A) 1.22 fin (B) 1.32 fin
(C) 1.42 fm (D) 1.52 fin (C) 1.42 fin (D) 1.52 fin
123. Nuclear force is : 123. ^^ t :
\
(A) Short Range and Charge Dependent.
(A) ^ I
(B) Long Range and Charge Dependent.
(C) Short Range and Charge (B) ^ 3TT^ tn: \
Independent.
(C) ^ TT^" 3TT^ -qi ]
(D) Long Range and Charge
Independent. (D) ^^ 3Tlt^ -qr ]
124. According to shell model, the spin and 124. TTTS^ ^
parity of the ground state of is : ^^ to %■:
3"^
(A) - (B) 4-
<A,f (B) 4-
• (C) 5- (D)[ (C) 5- (D)[
N-(5)S/23/2025/A 30
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125. The value of the quadrupole moment of 125. "3^ ^ ^ e\
the prolate shape nucleus is : ^ "^klT ^ :
(A) Zero always (A)
(B) Positive integer always (B)
(C) Negative integer always (C)
(D) Any integer (D) ^
126. The Compton shift of a photon depends 126. ^
on : ^ t:
(A) Energy of the incident photon (A) "35#
(B) Atomic number of the material (B) ^ WTT
(C) Density of the material (C) ^
(D) Scattering angle (D) ^
127. Which of the following conservation 127. (weak) Pt^RnRaq
laws is conserved in weak interactions ? "pRFT ^RfsjcT "Tcdl ^ ?
(A) Strangeness (A)
(B) Isospin
(C) Parity (C)
(D) Lepton number (D) ^
128. The quark content of a Z"*"- particle is : 128. 13^ Z+ ^ ^ t:
(A) uds (B) dds (A) (B) dds
(C) uss (D) uus (C) uss (D) uus
N-(5)S/23/2025/A 31 P.T.O.
Text of page 34
129. Which of the following reactions/decays 129. rHHPdR^d ^ yrdPstrMim ^11^
is allowed ? t ?
(A) Tc"*" + « k^+ k"^ (A) 7U++/I k°+ K'^
(B) 7l~ A°+K° (B) ;r"+^_>A°+K°
(C) k" k^+ k"^ (C) k"+/J->• k°+ k"^
(D) p~^e^+n° (D) ^->.£++7^0
130. What is the mass of one curie of ^\] 130. 238 u (Ty2 = 246000 ^ ^^
(Tjy2 = 246000 years) ?
; (A) 161.9 gm (B) 181.9 gm (A) 161.9 gm (B) 181.9 gm
(C) 201.9 gm (D) 221.9 gm (C) 201.9 gm (D) 221.9 gm
131. Reversed biased semiconductor diode 131. Hij'd srf^PTfcT 3T%I-qieidi •simIs
acts as :
(A) a closed electrical switch ■ (A) ^
(B) an open electrical switch (B)
(C) an open electrical switch with a (C) ^ ^ T33T
very high resistance
(D) a closed electrical switch with a (D) fp=T "StcRlil ^ TT^ ^
very low resistance
132.. In a class-C power amplifier, the 132. "4'
collector current Iq : m Ic ■:
(A) is sinusoidal (A) ^t
(B) flows for'120° or less of the AC (B) TiA ^=133 ^ 120° TO
input cycle ^ TOlt t
(C) ^ "^TT^TOT
(C) flows for a complete AC input cycle
TOit t"
(D) amplifies a wide band of radio
(D) TfW# ^ ■fs' ^
frequencies TOlt t
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133. For an ideal Op-amp, the input base 133. Op-amp
currents are : sntiTR :
(A) equal and opposite (A) aik
(B) of different magnitude but of same (B)
sign
(C) both zero (C) ^
(D) sinusoidal of opposite phase (D) ^
134. In a RC-coupled amplifier, the voltage 134. RC-'3ffrl?r ^ WR ^
gain is low : ^t :
(A) only at low frequency (A) 3n^j% "q^
(B) only at high frequency (B) 3TT^ w:
(C) only at mid frequency (C) -FTezi ■ ^
(D)' at low and high frequency (D) 3fk ^
135. The maximum number of binary states of 135. 8 (8FF) - ^ ^
a counter constructed with 8 flip-flop ?RT Rjddl ^FFlfr w
(8FF) is ; t ?
(A) 8 (B) 82 (A) 8 (B) 82
(C) 2^ (D) 216- (C) 28 (D) 2^6
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136. The frequency below which the given 136. ■qftqsT
integrated circuit shown in figure does
^ t :
not integrate is given by :
R.
—VWV—
C
R.
o-^W\A
o—VWr
t
r Vo
Ju
(A) 27:RiC (B) 27rR2C (A) 2;iRiC m (B) 27rR2C OT
1 1 1
(D) 27tRiC
271R2C 27rR2C ^ 27cRiC
137. In an Op-amp comparator, two signals to 137. Op-amp ^
be compared are applied at two inputs.
When the non-inverting input voltage is
t I "SR
larger than the inverting input, we then
^ ^ t, ^ ^ t% :
have :
(A) 3TRS32 ^ •snm t
(A) Output voltage goes high
(B) fro ^ RRTT t
(B) Output voltage goes low
(C) Output voltage is zero (C) ^^^t
(D) Sinusoidal output voltage ' (D) 1^«R
N-(5)S/23/2025/A 34
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138. For GaAsi_^^ LED. having phosphorous 138. RqFT GaAsi_^P^ ^
concentration above 44%, a doping with ■ 44% t I^
nitrogen produces the following : ^ ^^ -qr rHHPelRslcl ^:
(A) Red-pink light (A) ^-"3^ 3TOTT
(B) Yellow-green light (B) TITOT"
(C) White light ■ (C) "5^
(D) Blue-violet light . (D) WRT
139. For depletion layer photodiode : 139. ■:
(A) the depletion region must be wide (A) "q^
so that most photons are absorbed -q^ %q) ^
in this region only. smto I
(B) the carrier drift should occur in a ■ (B) ^ ^
very long time. wm I
(C) the doping at one side of junction (C) ■% M
should be high.
(D) wide depletion region must result in (D) ^ "qcf ^
a large Jimction capacitance.
N-(5)S/23/2025/A 35 P.T.O.
Text of page 38
140. A gate current of 0.001 |xA flows when 140. JFET ^ 15 V ^
a JFET is reversed biased with 15 V. The ■qr ^ TO 0.001 wfer
gate source resistance is :
(A) 10000 MQ (B) 15000 MQ (A) 10000 MO (B) 15000 MQ
(C) 30000 MQ (D) 6000 MO (C) 30000 MQ (D) 6000 MO
141. If the gauge factor of the material of a 141. "qfq "TOW ^ ^
strain gauge is such that the resistance ^Jiict) ^ t" TT^ 0.002
changes from 1000 ohms to 1009 ohms ^ 31#T 1000' ^
when subjected to a strain of 0.002. The 1009 t I
value of gauge factor will be : ■ipw ^ "TO ^ :
(A) 1.75 (A) 1.75
(B) 4.5 (B) 4.5
(C) 9.0 ■ (C) 9.0
(D) 45 (D) 45
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142. For detection of neutrons, the ionizatibn 142. ^ ^ ^
chamber is filled with : PiHrdPsId ^^ t ?
(A) Phosphorus (A) wpkn'
(B) Benzene (B) M'l
(C) Sodium chloride (C)
(D) Boron trifluoride (D)
143. The gain of a negative feedback 143. ^
amplifier with an internal gain, A = 100 A = 100 W
and feedback factor p = 1/10, is : Tpro p = 1/10 t, :
(A) 9.09 (A) 9.09
(B) 20.56 (B) 20.56
(C) 28.96 (C) 28.96
(D) 70.61 (D) 70.61
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144. Instrumentation ' amplifiers are used 144.
primarily in : t:
(A) High noise environments (A) ^ ciidN<u| -^f
(B) Medical equipments ■ (B) Ar^=hel dMc+iluil* Af
(C) Test instruments (C) "A*
(D) Filter circuits ■ (D) -qftqAf.A"
145. A 16 speaker load is to be matched to 145. 16 n ^ ^ ^
an amplifier so that the effective load ^ wn t; ^
resistance is 10 kQ. What will be the 10 kn ^ 1 iimlAi ^
primary to secondary turns ratio of the
^ ^ ^ #1T ■:
transformer ?
(A) 9 : 1
(A) 9 : 1
' (B) 1 : 9
(B) 1 : 9
(C) 25 : 1
(C) 25 : 1
(D) 1 : 25
(D) 1 : 25
IM-{5)S/23/2025/A 38
Text of page 41
146. Which one of the following is also 146. PiHRrlRsIci ^
known as emitter-follower circuit ? "TO ^ "^IRTT "t ?
(A) Common-base amplifier circuit (A) ^
(B) Common-emitter amplifier circuit (B) "qftqsq ^
(C) Common-collector amplifier circuit (C) TTftqar ^
(D) None of the above (D)
147. For thermocouple transducer temperature 147.
measurements, a temperature as high as 2300°C ^ ^ rHMRrindd
2300®C can be measured by using which OT "^NT t" ?
of the following ?
(A) C-"S™ ^ ^
(A) -C-type thermocouple
(B) J-ITTO ^ aiHldiMd
(B) J-type thermocouple
(C) K-TOR ^ ^
(C) K-type thermocouple
(D) B-type thermocouple (D) B-'STO ^ ^
148. What should be the power in an 148. 13:^7 31FTTH ^^ ^
amplitude modulated wave when #lt ^ 100% il Tiair
modulation is 100% and carrier power is 10 ^ ?
10 watts ?
(A) 1.5^ (B) 15^'
(A) 1.5 watts (B) 15 watts
(C) 2.5 watts (D) 25 watts (C) 2.5^ (D) 25^
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149. Two resistances 100 Q + 5 Q and 149. 100Q +50 ^211 150O±15n
150 O + 15 are connected in series. M t 1^
If the deviations are standard deviations, ^ mRuhhI ^
then resultant resistance can be expressed RHPdRsid "4* ^ ^ '5^ fen ^
as: t?
(A) 250 ±20 0. (A) 250 + 20 O
(B) 250 ± 10 O (B) 250 ± 10 O
(C) 250 ± 15.8 O (C) 250 ± 15.8 O
(D) 250 ± 22.6 O (D) 250 ± 22.6 O
150. To make a basic instrumentation 150. ^ fer^
amplifier, how many Op-Amps are
required ? t ?
(A) One Op-Amp (A)
(B) Three Op-Amps (B) #I
(C) Five Op-Amps (C)
(D) Seven Op-Amps (D) w
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Text of page 43
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cBpf '
(SPACE FOR ROUGH WORK)
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Source: Madhya Pradesh Public Service Commission. Question paper published by Madhya Pradesh Public Service Commission.