MP SET 2024: State Eligibility Test, Physical Science
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"SR. '.
R/P/P/2024/II Question Booklet No.
[qqill
Subject-PHYSICAL SCIENCE
SET A )
Paper II (Optional) 241605093
Subject-Code-16
Name
si'nr ^
I Candidate should write his/her
Roll No. Roil No.ia the given boxes.
TR^No.ofPrinted Pages:44 3R^ yft Wll/Total No. of Questions: 100
TRRI:3 Wt^ IStfty ^ ■'Jpif^/Maximum Marks: 200
Time Allowed: 3; Hours to complete both 1st and Ilnd question paper
yf snm3if-1k^ y aM if y* 11 3"* ^Rnmpir W * 11
if w Rt<t><yM f I TiTT ^ ^ yriT 11 OtdicM ^ ^ y^-yaiw (ait.y^.atiT. yt
R;afad ^ ^[yir^ yfet mT^a ^ ^ yngir i ^ ^
fR yft^ir y ^ wr-yy t* ^ ^mrar iso yyjir ^ y?y t* yw y«^ y^ 2 11^fyf y?y-yyy y^
wrstAsnif 2 3fy»1^yiyit i ^i^dRd yyy % ^ afyj y^f 11 Jouiidi* ysr ui^enn
yif 11 I I
y?y-y^ i|. yiymni^y-yw (y?y ygn i-so)
y?!i-yi n yAynff ym yytor Ihyy ysT wi-yy (y?y smso)
4. TO y?y-^ftdchi if ^ ytsir atrary ^ yr yf 11yftg^yit yen? "^t t ^ yMNtr ys^ y^y-^feratr
^ Tnit ^ aftr 1<rs^ i aprai ^ yth ^ ^ d^biH ^ W i
5. ^nmr yyt-yTO> (3h.^.ayT. yr PiutRd wiyf yr ^ any^yy? yfhte^ aw TOiyf yr y^ i
6. yft^iidf ytft TO ynd y?y-^PRra»r ^ ftyffty TOH yr ^ yi^, aroy ^ y^ yar yyr-y? (afr.t^.am'. ^) yr «fty^h
7. yfe y^y y 1^ yynr ^ ^ -qr yamyyt yynr ^ ^ ^ y^y ^ tot afhw ^ynnf if it i^ yyfar
^ yiyyt yryr i ^ ^ ^ «. v •» *
8. Ohd) ydiK yy nfy %ycT y ftsdt utnn yy feyi^y anf^ yy u4ly glSiq y i ^ ^
9. TO aiiM<b1 y?y-^rMd>i yft^ yy ^yr yi^ to% yroiy.^ TOT-yyy? (ait.15y.am". ^) if ym ^ y^y % fro
c^cici <t)iA viTija ^y <t)i yyPT «eiV i ^^^
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11.yyT-yror (^.i5y.anT.) yy ^ ^ ygn 1^ yi5 yy yr?R y^ yiT > j
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51. 51. The flux of a vector field function
V = y^i +(2xv +z^)j+2yzk ^ V = yV + (2xy + z^)j+ 2yzk through an
unit cube situated at origin is :
(A) 0 (B) 1 (A) 0 (B) 1
(C) 2 (D) -2 (C) 2- (P) -2
52. #T ^ ^f^ "n^ 52. The system of three linear equations is
f: given :
X - y + ^z -5 x-y + 4z =5
2x-3y + Sz=4 2x-3y+ 8r=4
X - 2y + 4z =9 X - 2^ + 42 = 9
Choose the correct option for these
^ : equations :
(A) ^ 37^ t ^qr "5^ ^ (A) These are inconsi^ent md hence no
I solution exists
(B) 37^ f ^«TT (B) These are inconsistent and hence
t I unique solution exists
(C) 4^4]=h<^l f cTSTT (C) These are consistent and hence
PTfeft^ "I 1 unique solution exists
I
(D) ^ ■^^FTtT f 1=1^ 3TO (D) These are consistent and hence
4^ t I infinite solutions exist
{3)S/16/2024/A P.T.O.
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53. "Sf^ 53. Using Cayley-Hamilton theorem, the
cos0 sin0
inverse of the matrix :
-sin0 COS0
COS0 sin0
-sin0 COS0
COS0 sin0 is :
(A)
-sin0 COS0
COS0 sin0
COS0 -sin0 (A)
-sin0 cosG
(B) sin0 COS0
COS0 -sin0
COS0 sin0 (B) sin0 COS0
(C) sin0 COS0
COS0 sin0
(C)
(D) ^3^ %RT t, sin0 COS0
AIjw ^ qiwiq* (D) Inverse matrix does not exist as the
-RR f I givenmatrix has no real eigen values.
54. RRR J„(x) ^ M, Ji/2(;t) ^ 54. For a Bessel function J„(x), the y^ue of
■RH t :
J1/2W is :
(A) —
71 (A) ^ 71
(B) -— •Ji
71 (B) -—
71
(C) 1
(C) 1
(D) 0
(D) 0
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55. WT F(,)=sin^((DO ^ WWi 55. The Laplace transform of the
L(5) ^• function F(,) =sin^(a)0 is equal to :
Is' 2©^ 2s'
2©^
(A) S{S^U<S?) ^ (B) .2n2 (A) 5(j^+4© ) (B) (s^ +<o^)?
2^' 2s
.2.
^ s^ +2iy^'
(C) (D)
(C) 2n2 (D) +4©^)
2\2
s(s^+4©^)
56. m n ^ TR^ 56. The direct product oftwo tensors ofrank
I ...
^^ m and n is a tensor of rank :
^t5iT "I I
(A) w X «
(A) w X «
I
(B) m + n
(B) m + in
(C) M - n, for /n > n
(C) OT > n ^ Rm m — n
(D) w"
(D) m" ;
' • r ^ !
57. ^ W^ ^ -^f 57. Tlie enor in the second order and fourth-
I
ife ^^ slvR^r *2^* 'sloi order Runge-Kutta formula is of the
i
t1 order of. and .respectively.
j I
(A) h,}? (A) h,f? I
j
1
(B) (B) Ifi.h* .
(C) }?, (C) H^,h^
(D) h*, ffi (D) h\h'^
P.T.O,
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58. TPiW ^ 1^rw %, "3??^ 58. An experiment succeeds twice as oiten
^ ^i I TO as it fails. What is the chance that in next
"H'Hiqii ^ "% "R^tePnt TOT four trials there will be at least two
^ TOT ^ WOT4' 1%^ ?- successes ?
(A) 0.19 (B) 0.30 (A) 0.19 (B) 0.30
(C) 0.69 (D) 0.91 (C) 0.69 (D) 0.91
59. TOTTTOT : 59. What is the value of integral,
.3r -3r
iC (z+7C/) ic (z+TTj) dz
TO "RH TO ^Wl, 'C* TJ^ ^ where'C is the circle |z"l|=4 ?
, |z-l|=4 t I
(A) 0
(A) 0
(B) 2?:/
(B) 2ni
(C) -271/
(C) -2ni
(D) -1 (D) -1
60. TOFT TO TOfR TOTITOtT 60. The Fourier sine transform of the
•t I function e is
* ^(-y)
(2_£_
(A) (B) (A) (B) 2 2
7t 5+a 71 5^ + yn s+a n s^ + a^
[2 g /2 5
(C)
a
(D)
(C) (D) n s^+a} n s^-o?
7t
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61. ^ ^ ^t ^ 61. When the relative speed is small, the
^:qfOT ^ WOT Lorentz transformation equations can be
^Hlchiuil' '^* "qft^fer 1ot ^ w?ii t i reduced to the Galilean transformation
cwTPn : equations. Because :
(A) ^c site t I (A) Relative velocity is greater than c.
(B) yuiiRri^T WT W(R (B) In both systems, the times are the
i I same.
(C) (C) Length contraction
(D) <iM^=kl ^^ (D) None of the above
62. "WOT (transformation) 62. In the Lorentz transformation, the four-
^ 31TO^T t : dimensional volume element is :
(A) ^ l^flT (A) Shortened
(B) ■^OT'TH (B) Non-uniform
(C) Invariant
(D) (D) Enhanced
I
(
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66, 31^ (Noether theorem) ^ 66. For Noether's theorem, following is a
WTT^ t: general statement:
(A) ^ 1^ (A) It contains only conservation
laws.
(B) ciiqcn "^''T ^ 1 (B) It contains only symmetry properties.
(C) "^pnt "^^R^iRT "ppwt "^' (C) Interplay between symmetry
^ arofSRR ! properties and conserved quantities.
(D) "3^^ ^^ (D) None of the above
67. tilni "^* WRT "^R yH^R 67. Identify the Hamilton-Jacobi equation of
time dependent Schrfidinger equation in
: the short wavelength limit:
(A) H+|=0 (A) H+f-0
(B) H-f=0 (B) H-f-0
(C) H+f= V2S (Q H+f-V'S
(D) (D) H-f.V=S
P.T.O.
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68. ^ ^ ^ WTT 68. Calculate the relativistic speed of an
^>11^, ■SfTSif 4 MeV t I electron which has kinetic energy
4 MeV:
(A) « 3 X 10^
(A) » 3 X IQS m/s
(B) « 10 X IQS
(B) « 10 X 108 ni/s
(C) « 1 X 108 (C) « 1 X 108 m/s
(D) « 12 X 108 41(i</^4)U^ (D) « 12 X 108 m/s
69.. ^ "Q^ f^rf^ f : 69. A point in phase space specifies :
(A) 1^ Wk\\db (A) Only position co-ordinates
(B) Only momentum co-ordinates
(B) ^
(C) Position and momentum
(C) sk ^ IWf^ co-ordinates
(D) ctn^ ^^ (D) None of the above
70. ^ ^ t : 70. Identify the example of central force :
(A) FW.=^ (A) FW==^
T7/-\ 1 ^1^2
(B)
(C) F(r) = -/tAr (C) F(r) = -ifcAr
(D) "3^^ ^ (D) All of the above
71. 1to ?Rr -51^ 71. Clausius-Mossotti relation is given by :
>3131 "I : Na Na
€r-l
(A) Gf. + 2 3 G( (B) G^ + 2
G^ - 1 _ Na 6^ - 1 _
e^ + 2 3go €, + 2 " 3
G^ - 1 _ Na
(C) G^ + 2—Na (D) G^ + 2 Gq
G.-l e^-1 Na
(C) i;T2=''" i;TI=^
where, all the symbols have their usual
^ ^acW ^ 31^ 3?sf t 1 meanings.
(3)S/16/2024/A 8
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73. Select the correct one about the
^TikRi ■% -w^ ^^ electrostatic and magnetostatic boundary
^ chlf^li, : conditions given below :
® ^"above " ®"beIow = ® ® ®"above ~ ^'"below = ®
(^0 ^ above ~ ^ below ~ 00 above below
(i") I>"above-D"below=0 (i") D"3b„ve-Dllbel.w=0
(iv)
(v) H",|,„ve ~h"|,5|„„ =Ky X n
(y) ^Kboye -H'below =Ky X«
Where, all symbols have their usual
■=51^, ^ 3IcW -% ^JF?FI 3T8f t 1
meanings.
Choose the correct one :
(A) (i), (ii), (iii), (iv) ^ t
(A) (i)» 00* 0iO* 0v) are correct
(B) (i), (ii), (iv), (v) ^ f
(B) (i), (ii), (iv), (v) are correct
(C) (i), (ii), (iii), (v) ^ t
(Q (0* (ii)* (iii), (v) are correct
(P) (i), (ii), (iii), (iv), (v) ^ t
(D) (1), (ii), (iii), (iv), (v) are correct
74. w. a^RcR mi wm (j) 74. The volume current density (j) in the
3T^ ^ (j) ^ W^RRt i, wire is proportional to the distance (s)
J=^, C^, k = "^Ri^qidt i^sRRj) from the axis J = As, (where k is the
proportionality constant). The total
w: ■^* MflcT ^ mj #it :
current flowing in the wire is :
(^TBT, a = m ^ %) (where, a = radius of wire)
(A) {nka^)/3 (B) {2nka^)/3 (A) (7rAw^)/3 (B) (27rAa^)/3
(P) Unka^)l3 (D) {3nka^)l2 (C) (47rA3fl^)/3 (D) (37rfc7^)/2
(3)S/16/2024/A 10
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75, ^ ^ E =3i+4j+5k 75. An electric field in a. region |is
■gRT 1^ t^ S = 2xl0"^fcm^ given by E = 3/*+4j+5it. The value of
V I
I
^ IpR^ ^ electric flux through the surface
:
. k. ,
S = 2xl0"^^m^ will be : i
I
I
(A) 1 X 10^ y.m (A) 1 X 10-4 v.m ■ ,
i
1
(B) 1 X 10-5 V.m (B) 1 X 10-5 Ym !
I .
(C) lxl0-6v.m. (C) 1 X lO-« V.m I
' (D) 1 X 10f7 v.m • (D) 1 X 10-7 v,m ,
I '
76. li*-iRnRaa ^ =hli'«i 76. Which one of the following is correct
^ -^f -TO ^ about Gauss's law in the presence of
t ? dielectrics ? .
(A) v5=.0 (A) vS = 0 i
• ' * !•
(B) y£=-B- (B) Vj=-t-
^0
i
'
(C) pJa = Qj-^^ ■ (C) |D.t&t = Qy- fenc
.(D) = (D) |E.^ = Qy- fenc
Q^ aro^T ^ whiere, 0/
Jenc denotes the total free
j
Jenc
charge enclosed' in the volume and
•ggn au^ ^ trRri t aipi
I
I
all other symbols have their usual
^ .318? t I
meamngs, ,
|3)S/16/2024/A 11 P.T.O.
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77. ^ ^ 77. Select the correct one about Lorentz
Gauge condition :
... —« dv — av
(A) VA = Hoeo-S- (A) VA = Hoeo —
OT
(B) V.A =0 (B) VA = 0
(C) VA =-Hoeo — (C) VA = -Hq€q —
01 ot
sv
(D) VA = hg — (D) VA = p,e
dt
78. 78. An infinite long straight wire carries a
HRcicJdiind ^ 1(0 t I^ slowly varying current 1(0- What will be
the induced electric field as a function of
^ S ^ WI ^^ f^[tT
the distance S firom the wire ?
^^ :
Amperian loop
Amperian loop
T—►•
Hp/ ^ ^\dt
(A) 2%L
(A) kS
(B) ^.|[/„(So)-/„(S)] (B) -g^.|[/„(So)-/„(S)]
-Ho^ £
(C) 2< (!]■''' (C)
"Is
(D) [/„(So)-/„(S)]
(D) ^.f ['„(So)-'„(S)]
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79. r OT 31^ inr ^ 79. Interaction energy of two magnetic
Pt*-1 "SKI ^ dipoles separated by displacement p is
^t : given by :
(A) ^•^[wi.m2-(OT,.r)(m2.r)] (A) ^••jj[wi.OT2-(w,.r)(OT2i=)]
Ho 1 {ihir){m2?) fio 1 'r, ,r,
mym^ {^ir){'f>2^)
2
m^-mi
r .
(C) ^■\\m^.m2-^{ifl^?){ihJ,.r)'] (C) ^•4-[mi.OT2-3(m,/)(m2/)]
An r
^0 1 3(wiJ^)(w2/) M-o i ,r, ,r, 3(^i-^)(™2-^)
W1.W2 2
-
Sv r
80. ^ 'rt^m ^ 3TT^ 80. Which among the following is true for
^ pHHrdRdd "^f ^ Lidnard-^echert potentials for a moving
WI t ? point charge :
(■^; X, r 1^ ^ (where; x is the vector from the retarded
^ t Trar ^ "sM ^ "w? position to the field point r and all other
ai«f t I) symbols have their usual meaning).
(A) ^("'') = 4„e^(;cc%.v) (A) ^(^'0 47te (;fc-x.v)
^0
(B) =
(0 a(?,o=4'v(^'') (C) A(r,0 = 4^(^'0
(D) A(?, f) = -V(?,/) (D) A(r,0 = 7V(r,0
(3)S/16/2024/A 13 P.T.O.
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81. 'm' ^ ^ 1^ 81. For a particle of mass *ot' moving in the
+00 ;c^0 potentials :
VW =
—mai^x^ *> 0 +00 X^O
12
V(Ar)=
— OTCoV X>0
T?T t I WKB ira 2
3(g,HiPia •ijn (yi3"s) aiq+^lT <«oiI The ground state energy estimated by
^: WKB is :
(A) --to (A) -2®"
(B) -ftto (B) -to
(C) ha (C) ^to
3* 2 3* 2
(D) -fta)2 (D) -to^
82. 1 -m ^ ^ 1 M. 82. A particle of mass of 1 g is confined in
"I I a box of length 1 cm. The minimum
^Wt : kinetic energy of the particle will be :
(A) 5 X 10-50 j (A) 5 X 10-50 J
(B) 5 X 10-61 j (B) 5 X 10-61 J
(C) 5 X 10-71 J (C) 5 X 10-71 J
(D) 5 X 1061 J (D) 5 X 1061 J
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83^ 1^-3TWTt (3D) 83. The time independent Schrodinger
t: equation in three dimensions is :
(A) -^V^M(r)+ V(r)M(r)= EM(r) (A) —^V^M(r)
2m
+ V(r)M(r)= EM(r)
2m
2 f.2
(B) —V'^u(r)+V(r)uir)= Eu(r) (B) —V M(r)+V(r)M(r)= Bu{r)
2m 2m
(C) -^vV'')-V(r)«(r)=
2m
E«(r) (C)
2m
V^K(r)-V(r)«(r)= EM(r)
2 fp.
(D) — V^w(r)-V(r)M(r)= Bu(r) (D) —V\{r)-y{r)u{r)= EM(r)
2m 2/^
84. 0 < r < Oq ^ ^ ^ 84. The probability of 3rf electron for
^ "snfe^n (yT<^[^M) t: hydrogen atom in 0 < r < dg range is ^
(A) 1.6 X 10-5 (A) 1.6 X 10-5
(B) 1.9 X 1(H (B) 1.9 X 10-^
(C) 1.7 X 10-3 (C) 1.7 X 10-3
(D) 1.8 X 10-3 (D) 1.8 X 10-3
85. WITJ 85. The value of fine structure constant 'a'
(fine structure constant) *a' ^ ^: of a hydrogen atom is :
(A) ^ (B) 139 (A) ^ (B) 139
239 239
140
15 P.T.O,
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86. 2p ^ ^ 'g' t: 86. Lande 'g' factor for state is
(A) f (B) (A) 4 (B) f
■
(C) 4 (D) 3
2
(C) 4 (D) f
87. X 3lk ^ ^ 87. The correct value of Poisson bracket
{x, p} between position x and
{x, p) ^:
momentum p variables is :
(A) 2 (B) 4
(A) 2 (B) 4
(C) 1 (D) 0 (C) 1 (D) 0
88. rHHrdPsid "4* ^ 88. Which of the following transitions are
3?3qw (allowed) "I" ? electric dipole allowed ?
(A) 1j -> 25- (B) \s -> 2/7 (A) 1j -> 2y (B) Ij -> 2/7
(C) 3j 5rf (D) ^ (C) 'is^Sd (D) All of these
89. t: 89. The correct relation is :
(A) [L^,L^]=/^L, (A) [Lj;, /■j
(B) [L^, L2]=/^L^ (B) [L^,L^]= mL,
(C) (A) sk (B) ^ (C) Both (A) and (B)
(D) ^^ (D) None of the above
(3)S/16/2024/A 16
Text of page 20
92. The probability density in case of Grand
^ i ? Canonical Ensemble depends on :
(A) p-q^ V (A) PandV
(B) ET^^'T (B) E and T
(C) cftqci E, (C) Only E
(D) -3^ ^ -=1^* (D) None of the above
93. "SirqiiTfWN I^RiPT ^ aiRilW ^ 93. Change of Internal Energy of the
■qft^ Ito "qr t ; thermodynamic system depends upon :
(A) w\ (A) Path function
(B) Huni (B) Point function
(C) (A) sSk (B) #if (C) Both (A) and (B)
(D) ^ ^ (D) None of the above
94. ^ ^ ^ ■^* -qR* ^ ^ 3T^ 94. When steam is converted into ice, the
entropy of the molecules :
(A) 1^ f (A) Remains constant
(B) t (B) Increases
(C) ^ t (C) Decreases
(D) "^q^ ^ ^ Rff - (D) None of the above
|3)S/16/2024/A 18
Text of page 21
95. 315^, 95. According to ' Clausius-Clapeyron,
i'
"Melting point of ice decreases with
! <iP ' increasing pressure." Hence Ae value, of
t l" cRS^IR ^ ^^ •
dP
— will be : - -, y y; ,:
(A) «HRq^ #n
(A) Positive
(B) ^
(B) Negative
(C)^ #n - .'
(C) Zero
I
(D) I
^^ (D) None of the above
96. "PfT dIMHH ^ ^He ^ 96. The flui(hty of '♦He at low temperature is
•EPTFra^T ^ t ? due to the following reason/s :
(A) 31^#' ^ d»H«il<- srawif^ (A) Weak intermolecular force between
atoms
(B) '♦He ^ ^ (B) Small mass of ^He atom i
I
I
(C) ^ !(^Hdl (C) Zero viscosity i
■ (D)
(D) All of the above
i • ■ ,' '^ ■ * I V' ' • * . ' * '
97. fFT UPd^Mdidi ^.:q^—^ 97. The materials having low resistivity are
ideal candidate for consfruction of: '
^ 3n^ ;Wf ^ t I i
(A) Temporary Magnets
(A)
(B) Weak Magnets
(B)
(C) Permanent Magnets
(C) I
(D) None of die above
(D) "3*1^ ^ .'3^.
19 P.T.O.
(3)S/16/2024/A
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98. In case of Black Body radiation, with the
^'HHll ^ 1M^iT"T ^ cikRir increase in the temperature of the body,
the intensity of radiation for each
"Slr^ dOl^wf ^ .
wavelength :
(A)
(A) Increases
(B)^
(B) Decreases
(C) 1^^
(C) Remains constant
(D) ^ ^^ (D) None of the above
6Q
99. "1^ ^^ ^ 99. "The cyclic integral of 8Q
— for a
^^:i I" reversible cycle is equal to zero."
^ +Sdldl t ; This theorem is known as :
(A) ^pfe 31^ (A) Camot theorem
(B) "R^ (B) Clausius theorem
(C) -R^ (C) Rankine theorem
(D) ^ (D) None of the above
(3)S/16/2024/A 20
Text of page 24
102. A ^ 3iq<^| 102. In three electron system, the excited state
t ? IS :
(A) "^3^ (A) Doublet or Quartet
(B) i<ct)in (B) Singlet or Triplet
(C) «iiqei 1^ (C) Only Doublet
(D) chq(^ (D) Only Triplet
103. n2p 32£)^ « = 3, 4, 5 •WTPH 103. M^p 32d^ « = 3, 4, 5
^ ^ shows series of- alkali atom
t I spectrum.
(A) ^ (B) (A) Fundamental (B) Sharp
(C) (D) (C) Difiuse (D) Principal
104. rHMPelRdd ^ ^ mim #FI 104. Which of the following transitions will
? give most intense line ?
W ^^1/2 <- 1/2 (A) ^Si/2 <r~ ^Pi/2
(B) 2S,^ 4- 2P3/2 (®) ^^1/2 <- 2P3/2
(*^) ^^3/2 ^^3/2 (C) 2P3/2 ^
(D) 2Pi/2 <- 2Si/2 • (D) ^Pl/2 ^
(3)S/16/2024/A 22
Text of page 25
105. -sra ^ siRtPra 105. When normal Zeeman effect is observed
t
^ ■;^ ei*«iqq^ ^^nciT ^ perpendicular to the applied magnetic
field, the three line components are
M t I
seen
(A) mm
(A) Plane polarized
(B)
(B) Circularly polarized
(C) ^hf^:#T (C) EUiptically polarized
(D) 311^ (D) Unpolarized
106. irtTi^ T? (a) 106. The sigma (a) component of Stark effect
^t I is due to :
(A) Antj = ± 1 (B) AWg = + 1 (A) /!jnj-±\ (B)
(C) Affjj = 0 (D) Arrig = 0 (C) Am,= 0 (D) Am, = 0 ,
107. ^ 4358 A ^ 107. A substance shows a Raman line at
wftn 1^ ^ t ^ WT ^ 4567 A 4567 A when exciting line of 4358 A is
R<ai^ %li" ■§■ I "?RR ^ used. The respective positions of stokes
^tPsrt ^ 4047 A ^ "q? '^im and anti-stokes lines for the same
TJ^ ^3if ^ ^TOT: 1^«#qT substance, when the exciting line of
#it ;
4047 A is used, will be :
(A) 4226.5 A, 3882 A
(A) 4226.5 A, 3882 A
(B) 4259 A, 3840 A
(B) 4259 A, 3840 A j
(C) 4538.7 A, 4053 A
(C) 4538.7 A, 4053 A
(D) 4567 A, 4167 A
(D) 4567 A, 4167 A
(3}S/16/2024/A 23 P.T.O.
Text of page 26
108. T? AJ = -1 sfk 108. The branches corresponding to AJ = -1
Aj = +1 ^rasff ^ gjrmr •3k and AJ = +1 in rotational-vibrational
spectrum are known as and
■?TT^ ^ ^ t I
branches respectively.
(A) 0 3kP
(A) .0 and P
(B) p akq
(B) P and Q
(C) P3kR
(C) PandR
(D) P3ks (D) P and S
109. ^ W# ^ ^ TJW 109. Rotational analysis of one band system
■fkir "W : is given by :
V = 24762 + 25 m — 2.1 cm~^ V = 24762 + 25 m - 2.1 m^ cm~^
The position of the band head will lie
^^ -^mai "ftsicr ^
in branch and band is
^«TT fe* 3k 3?^3km I
degraded towards
(A) R;^
(A) R;Red
(B) P;^
(B) P; Red
(C)
(C) O; Violet
(D) P;^Mt (D) P; Violet
(3)S/16/2024/A 24
Text of page 27
110. The wavelength of emission is 6000 A
110. ^ Wllaf 6000 A i W;-
and the coefficient of spontaneous
^ ^ 10^ S-11 I "3^
emission is 10^ s~i. The value of the
^ -3^^) ^ : coefficient of stimulated emission is
given by :
(A) B21 = 1.3 X 1019 ni/kg
(A) B21 = 1.3 X 1019 m/kg
(B) B21 = 2.6 X 1019 m/kg
(B) B21 = 2.6 X 1019 m/kg
(C) B21 = 1.6 X 10I8 m/kg
(C) B21 = 1.6 X 10I8 m/kg
(D) B21 = 3.9 X 1019 m/kg (D) B21 = 3.9 X 1019 m/kg
111. bcc "I" : 111. In bcc lattice packing fraction is :
(A) 0.680 (B) 0.740 (A) 0.680 (B) 0.740
(C) 0.524 (D) 0.940 (C) 0.524 (D) 0.940
112. In feSRT ^ 112. Correct statements of Bragg (law)
condition are :
t:
(A) 2dsin0 = nk', = 0; 2k.G = G
(A) 2f/sin0 = nX; Ai = 0; 2A:.G = G
(B) 2sm0= —; = G',2k.G = G^ (B) 2sin0=-^;A^ = G;2^.G = G^
A.
(C) 2f/sin0= nk\ A^ = G; 2^..G = G
(C) 2t/sin0= wX; AA:= G;2A.G = G
(D) 2i3fsin0 = nA;AA = G;2A:.G = G^
(D) 2£/sin0 = «A,;AA = G; 2k.G = G^
(3)8/16/2024/A 25 P.T.O.
r>
Text of page 29
115. w ■jwra ipJpi siiafer 115. In Hall efifect experiment, the Hall
• • i
' ' • j
^ 3kuiichc4> voltage for an intrinsic semiconductor is
I
t I faf^ t (3I?ft^ WOT negative. This is because (symlrals cany
3T«if ^ «OT f) : usual meaning) ;
I
(A) n « p, (A) w « /?
(B) n>p (B) n>/7 j
I
(C) H«>Ma (C), , !
I
(D) (D) 11;, < Ma;
. ! ■
116. Wm ^ ^ PshW-d \ 116. Crystals of inert gas atoms are bound by:
%i' j
IRT ^ ^ t ? (A) van der Waals interaction
(A) 3fef^'
(B) Covalent bonds
(B) WWNrt
(C) Ionic bon^
(C) STPte ^
(D) Metallic bonds
(D) mfc^
(3)S/16/2024/A 27 PiT.O.
Text of page 30
117. 3p N 117. For a 3D crystal having N primitive unit
t ^ #'jp-WTrnaTf -% V^ cells with a basis of/7-atoms the number
5RmR ^ Br«T f, y4)iRfi«Ji' ^n^aif ^
of optical branches is :
f:
(A) 3
(A) 3
(B) 3/7
(B) 3p
(C) 3N-3p (C) 3N-3/7
(D) 3/7-3 (D)3p-3 ■
118. 3 xr^ 371^ Tpifl 118. For an ideal Fermi gas in 3 dimensions
^ ^ 1^ ^ TR ^ the electron velocity Vp at the Fermi
Vp 'w' ^ ^ ^ surface is proportional to electron
concentration 'n' as :
(A) rP^ (A) «2/3
(B) « (B) n
(C) /jl/2 (C) /7I/2
(D) (D) nl/3
(3)S/16/2024/A 28
Text of page 31
119. BCS fera 4 ^^ itt ak 119. In BCS theory p^ of eiectrons ^d
I
' •' V » '• '
- fc-l- f : . ^ i are: j
I
(A) TpfWl (A)' Fennion ' •' '
A I
(B) , (B) Photon
(C) ' (C) Phonon ^ .
I
' I
(D) (D) Boson
,s
120. ^-li" SiPd^M^hT ^ ^^*J|ddl 120. For type-U superconductors coherence
^ - -<r. . , I
wM *5' 'V length and penetration depth 'X,' are
' ^4 ' '^ f
^ "t : related as :
■ • ' , s •
(A) J<1 (A) ■|<1 - - ..
(B) ^>1 (B) J>1
S *)
(C) X = 1 •^§ = 4 (C) X = 1 and 4 = 4
(D) 5 = 9^T«Tr^X = 2 ■ (D) 5 = 9 and X = 2
(3)S/16/2024/A 29 P.T.O.
Text of page 32
121. Tira "i" 5R59R f-iivdtter 121. What is the parity of the e-Multipole
^ ^ t" ? radiation according to given text ?
. (A) (-1)' (B) (-iy+> (A) ("ly (B) (-1)'+!
(C) (-lyXTU^ (D) -(-lyXTy (C) (-lyxjy (D) - (-iyx;c^
122. ^ 'Tfe^ ^ 3I59R "ftsR- Hlf^ch ^ 122. According to the liquid drop model, what
3irafiR7 3TRJR ^^ t ? ' is the primary shape of a stable nucleus ?
(A) 3pJ5RiK (A) Elliptical
(B)^ (B) Cubic
(C) Ji)cil4)K (C) Spherical
(D) %RR>K (D) CylindricEil
123. "itRi"*) "% *Nicq *!♦<(•*? "^f "53 tjTsei 123. What is one key assumption of the liquid
^ "Sig® SIOT ^ f ? drop model regarding the density of
nuclei ?
(A) aTOR ^ qsQifii ^
(A) The density varies with the volume
(B) t" a^PRH
(B) The. .density is constant and
t
independent of volume
(C) sf»*ff^ z "^R 1^
(C) The density depends on the atomic
t
numbers
(D) -ERc^ ^?5zmR -^nsin A ^
(D) The density is inversely
proportional to the mass number A
(3)S/16/2024/A 30
Text of page 33
124.^ ^ ^^ 124. By what factor is the electrostatic force
^ ^ 3TR?^ between protons stronger than
gravitational force of attraction among
. . -^ ^ 3rf«R> ^t ?
nucleons ?
(A) 102
(A) 102
(B) 10®
(B) 10®
(C) 1012 (C) 1012
(D) 103® (D) 103®
125. What is nuclear fusion ?
125. "^nfefN TO t ?
(A) The process of splitting a heavy
(A) ^ ■^*
nucleus into lighter nuclei
lTOf^ ^ ^ "Slf^
(B) The process in which two or more
"(B) ^ ifer ^^ 3Tf^
light nuclei fiise together to form a
' ee*ii ' *11^5(1 SEIFRi '^* "51^
heavy nucleus with the release of
^ Ts^ t energy
. (C) ^^ "^f (C) The process of a nucleus decayiiig
^ Tif^ into other particles
1
(D) 'irJl ^#1^ ^ "^nte ^ ^ (D) The process of forming light nuclei
Tlf^
from a heavy nucleus
(3)S/16/2024/A 31 • P.T.O.
Text of page 34
126. Z > 82 ^ 126. Why do most heavy nuclei with Z > 82
[q<a«i Rocl ? show spontaneous fission ?
(A) They have a large number of
(A) "5^ -<45^1 i^
neutrons which makes them
aflftsR t I
unstable.
0) silcTil ^ ®ty!i«i ^
(B) They have a small Coulomb's force
irfiR?*!^^^t ^ ^IViKdl
of repulsion among protons which
causes instability.
(C) FT^* nl<iTiT ■^'
(C) They have a large Coulomb's force
of repulsion among protons which
exceeds the nuclear binding force.
(D) ^ WU 3(lP?^ (D) They have a large number of
^t ^»Rnr •=#1^ f^<^iPHd. electrons which causes the nucleus
^ ^i?ii ^ I to split.
(3)8/16/2024/A 32
Text of page 35
127. ^ "SIiM 127. Which of the following is an alternative
I
^ ^ f^ TTTTTT-^ ^ 1^^^^ to gamina-decay for an excited nucleus
, PiMfdRsld ■^' ^ t ? to return to its ground state ?
(A) "3?^^ (A) Emitting a neutron
(B) "Q;^ 31^ dc^pSld (B) Emitting an alpha particle
(C) "3^^ "3i^ (C) Giving up its excitation energy to
one of the orbital electrons (internal
conversion)
(D) TT^ "Sft^T ^ MdidHl (D) Capturing a proton
128. rHMRrindd ^ 1^ ^ 128. Which of the following particles are
wirar "t ? considered as Leptons ?
(A) -jft^T ^ (A) Protons and Neutrons
(B) "*11^ sSk (B) Pions and Kaons
(C) ^ (C) Electrons, Muons and Neutrirlos
(D) 3CTT alk ^ (D) Alpha and Beta Particles
P.T.O.
(3)S/16/2024/A 33
Text of page 36
129. -PRJR ^ a7cT:feir ^Pdfsh^l
129. What type of interactions do leptons
■ ^f ?
respond to ?
(A) ^^51^ 3Tcr:%^ff
(A) Strong nuclear interactions
(B) 3?^^ fc|^d^Hd)1^ (B) Weak and Electromagnetic
interactions
(C) 3fff:t^
(C) Gravitational interactions only
(D) ^^31^ -q^qpij ii^r^l<+»Efu| (D) Strong nuclear and gravitational
a^;t^
interactions
130. IqFq^cii S^ ^ i{ 130. What is the strangeness quantum number
*Tlfe TRI t ? S defined as ?
(A) ^ arf^fw Y sqk «5RiiH vmi (A) The sum of hypercharge Y and
B <hVi baryon number B
(B) ^ 3lT^ Y 3k B^ (B) The difference between hypercharge
3Td^ Y and b^on number B
(C) 3if% 3n^iTO Y 3k (C) The product of hypercharge Y and
B ^ iiUH4,^ baryon number B
(D) #sqr B sk ^ (D) The sum of Baiyon number B and
isospin
(3)S/16/2024/A 34
Text of page 37
131. The capacitance of a reverse biased P-N
131. ^ ^
junction diode :
tiiRai:
(A) increases with increasing reverse
(A) 3#RftT ^^ ^
bias
qcnl "t
(B) 3#Rf^ ^^ ^«T ^TSdt (B) decreases with increasing reverse
t bias
(C) aiM^ ^ "mRci^t ^^fra (C) remains constant with changing
t reverse bias
(D) ^^^ (D) increases linearly with increasing
"^q ®i'3^fl ^ reverse bias
132. (Peak) ^^(Valley) «lRr (W) 132. Which semiconductor material is most
appropriate to manufacture a tunnel
^ sT^qra ^ "qr?! ^
diode for achieving high peak to valley
"q^ "^q^.t ? current ^ ?
(A) Ge (A) Ge
(B) Si (B) Si
(C) GaAs (C) GaAs
(D) All of the above
(D) "sq^ ^
35 P.T.O,
(3)S/16/2024/A
Text of page 38
133. 8085 133, Which of the following statements is
not correct in reference to 8085
^^ ^^ t ?
microprocessor ?
(A) 6 ."*1^ t I
(A) It has 6 flags
(B) 8 fe ^ ^t I
(B) It has 8 bit data bus
(C) 4 fe ^JTT^ ^ ^ t I
(C) It has 4 bit control bus
(D)^ 16 fe -ql^ ^^ f I (D) It has 16 bit address bus
134. 8085 ^^ 134. What is the maximum memory
aifv^KR ^f ? ■ addressable by the 8085 microprocessor ?
(A) 128 kB (A) 128 kB
(B) 256 kB (B) 256 kB
(C) 64 kB (C) 64 kB
(D) 512 kB (D) 512 kB
(3)S/16/2024/A 36
Text of page 41
139. 6 ^ 139. The LSB weight of a 6 bit resistive
w:^ : ladder is :
(A) 64 (A) 64
(«) ^
(C) 63 (C) 63
(D) :u
63
140. PiHRrinsId 140. Which of the following factors primarily
determines the spectral response of a
thldkNk ^ ^ f^rak^
photodiode ?
t ?
(A) Doping concentration
(A)
(B) Band gap of the semiconductor
(B) "'KI®! ^ fe 3T^RI^
material
(C) ^ ^
(C) Junction area
(D) a#Hfcl
(D) Reverse bias voltage
39 P.T.O.
(3)S/16/2024/A
Text of page 42
141. -q^ 741C mR^M4 141. The 74IC operational amplifier is
connected as a non-inverting amplifier as
"W t, Rp = 10 kn, shown in Figure with Rp = 10 kn,
Rl = 1 kn, A = 2 X 105, R. = 2MQ,
Rj = 1 kn, A = 2 X 105, R. = 2Mn,
Ro = 75n, /q = 5Hz, airjfS
Rq = 75n,/q = 5Hz, supply voltages =
=±15V, #R =±13V 11
± 15V and output voltage swing = +13V.
M"ni f«t)<<( ^sn qlcri'ai Ap
The computed closed loop voltage gain
^;
Ap will be :
+v,cc
RinSOfi +V,CC
Vin"© -V,EE I Ri„son
i
Wr-* I
I
. R,
-vEE R,
I
1 ' I -VV\r-
+\"
Rt
Mr<4^ — Feedback ~
circuit
Voltage series feedback
non-inverting amplifier
(A) 18182.8
(A) 18182.8
(B) 200000
(B) 200000
(C) 10.99
(C) 10.99
(D) 1/11
(D) 1/11
(3)S/16/2024/A 40
Text of page 43
142. "5*^ fit) ^ 142. The dififerentiatioh of a function/(/) in
OT 1^ ^ ! the time domain using the Fourier
transform is given by :
CB) ^--[-^h-^^
(B) dt K-J<o) ^ '
dm_,
j<o¥{a)
(C)
<//
(C) im.-.
-^=;<dF(«))
(D) ^^=-;©F(ffl) (D) ^^=-;coF(<d)
143. ftpIH S^(0 = 2«(0- 1(^ «(0 143. The Fourier transformation of a signum
"Srajpf t) ^ function Sgn(0=2u{f)-1(where «(0 is a
^qRROi ^ -qt ITO : unit step function) can be obtained as:
) _
(A) 2/yffl ' : (A) 2//®
(B) -2//® (B) -2/7®
(C) y®/2 ; . (C) 7®/2
I*
(D) -jm/2 . (D) -7ffl/2
j
41 P.T 0.
(3)S/16/2024/A
Text of page 44
144. 0-150 V ^ 144. A 0-150 V voltmeter has a guaranteed
accuracy of 1% for a fiill scale reading.
l?f ^^ 1% t - l ^ ^
The voltage measured by this instrument
^^ 75 V t I
is 75 V. The limiting error in percentage
^ "Slfelcf ^:
will be :
(A) 1% (B) 2%
(A) 1% (B) 2%
(C) 2.5% (D) 1.5% (C) 2.5% (D) 1.5%
145. 145. Every bounded and periodic signal
f: is a :
(A) (B) ^ ftFT^ (A) power signal (B) energy signal
(C) (D) ^ 1^FTH ^ (C) voltage signal (D) no signal
146. 50% ^ 146. The percentage power saving, when the
high frequency carrier and one of the
sidebands are suppressed in an amplitude
IRlfe Pti^i ^ITcff "^1 ifelcT modulated wave for a 50% depth of
■^f ^ : modulation will be :
(A) 92.4% (B) 93.4% (A) 92.4% (B) 93.4%
(C) 94.4% (D) 95.4% (C) 94.4%, (D) 95.4%
(3)S/16/2024/A 42
Text of page 45
147. "SRTR^ ^ 1^, 147. In a television channel for video
transmission, the modulation technique
^f5f^8T ^ ^ %TT
uses the . following to save large
rR* PHHrdRsid ^ TPk t:
bandwidth :
(A) "^wlPl^d "^TT?^
(A) Vestigial sideband
(B)
(B) Single sideband
(C) tS-'BH^ (C) Double sideband
(D) 3ff«if#T^ (D) Orthogonal sideband
148. ^ ^ 148. The force suniming member in a
U^RT photoelectric transducer modulates the
/
incident light to measure :
%. •
"I :
(A) light intensity
(A) 'SRJRT ^
;(B) liquid flow'
(B) -q^af ^
(C) pressure
(C) ^ ; ;
(D) temperature
(D) WWR
|3)S/16/2024/A 43 P.T.O.
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(SPACE FOR ROUGH WORK)
^ I
(3)S/16/2024/A/P-45
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(SPACE FOR ROUGH WORIQ
Up ^
<3)S/16/2024/A/P-46
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(SPACE FOR ROUGH WORK)
WT5'
{3)S/16/2024/A/P-47
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(SPACE FOR ROUGH WORK) S/16/2024/A
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«»ii4 (cm
(SPACE FOR ROUGH WORK)
S/16/2024/A
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Source: Madhya Pradesh Public Service Commission. Question paper published by Madhya Pradesh Public Service Commission.