Target : JEE (Main+Advanced) 2019
Embed Size (px)
Transcript of Target : JEE (Main+Advanced) 2019

®
Academic Session: 2018-19
AALLLL IINNDDIIAA OOPPEENN TTEESSTT--11 ((AAIIOOTT--11)) ((JJEEEE MMAAIINN PPAATTTTEERRNN))
TTaarrggeett :: JJEEEE ((MMaaiinn++AAddvvaanncceedd)) 22001199
Please read the last page of this booklet for the instructions. (Ñi;k funsZ'kksa ds fy;s bl iqfLrdk ds vfUre i"B dks i<+sA)
Resonance Eduventures Ltd. CORPORATE / REG. OFFICE : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) - 324005
Ph.No. : 07446607777, (0744) 3012100, 3012222, 6635555 | Toll Free : 1800 258 5555 | FAX No. : +91-022-39167222 | 80034 44888 Website : www.resonance.ac.in | E-mail : [email protected] | CIN: U80302RJ2007PLC024029
DDaattee:: 2233--1122--22001188 || DDuurraattiioonn :: 33 HHoouurrss || MMaaxx.. MMaarrkkss:: 336600
SSEETT -- 1
DO
NO
T B
REA
K T
HE
SEA
L W
ITH
OU
T B
EIN
G I
NST
RU
CTE
D T
O D
O S
O B
Y TH
E IN
VIG
ILA
TOR
tc r
d i
fjos"kd funsZ'k ugha nsa rc rd iz'u
i=k d
h lhy
dks ugha [kksaysA
P02-18
CCOOUURRSSEE :: AALLLL IINNDDIIAA TTEESSTT SSEERRIIEESS ((VVIIKKAALLPP)) || CCLLAASSSS -- XXIIII//XXIIIIII

Space for Rough Work / (dPps dk;Z ds fy, LFkku)
®
Corp. / Reg. Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) - 324005 Website : www.resonance.ac.in | E-mail : [email protected]
PSET101JPAIOT1MAIN231218-1 Toll Free : 1800 258 5555 | CIN : U80302RJ2007PLC024029
PART – A
Straight Objective Type This section contains 30 multiple choice questions. Each question has 4 choices (1), (2), (3) and (4) for its answer, out of which ONLY ONE is correct.
1. Air has refractive index 1.0003. The thickness of air column, which will have one more wavelength of yellow light of wavelength 6000Å than in same thickness of vacuum is :
(1) 2 cm (2) 2 mm (3) 2 m (4) 2 km
2. If each resistance is 'r' along the 12 edges of a
cubical skeleton of uniform wires, then find equivalent resistance between X and Y, where X and Y are the mid points of two opposite edges of a face of the cube :
A x
X F Y G
H E
C D
B
(1) 7r
8
(2) r2
(3) 4r5
(4) 7r5
Hkkx– A
lh/ks oLrqfu"B izdkj
bl [k.M esa 30 cgq&fodYih iz'u gSaA izR;sd iz'u ds 4
fodYi (1), (2), (3) rFkk (4) gSa] ftuesa ls flQZ ,d lgh gSA
1. ok;q dk viorZukad 1.0003 gSA fuokZr dh leku
eksVkbZ dh rqyuk esa ok;q LrEHk dh eksVkbZ esa 6000Å
rjaxnS/;Z ds ihys izdk'k dh rjaxnS/;Z ls ,d
rjaxnS/;Z T;knk gS] rc ok;q LrEHk dh eksVkbZ gksxhA (1) 2 cm
(2) 2 mm (3) 2 m (4) 2 km
2. ;fn ,d leku rkjksa ls cus 12 Hkqtkvksa ds ,d ?ku
dh izR;sd Hkqtk dk izfrjks/k 'r' gSA rc fp=k esa n'kkZ;s
vuqlkj X o Y ds e/; rqY; izfrjks/k Kkr dhft,,
tgkW X rFkk Y ?ku ds ,d Qyd dh nks foifjr
Hkqtkvksa ds e/; fcUnq gSA
A x
X F Y G
H E
C D
B
(1) 7r
8
(2) r2
(3) 4r5
(4) 7r5

Space for Rough Work / (dPps dk;Z ds fy, LFkku)
®
Corp. / Reg. Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) - 324005 Website : www.resonance.ac.in | E-mail : [email protected]
PSET101JPAIOT1MAIN231218-2 Toll Free : 1800 258 5555 | CIN : U80302RJ2007PLC024029
3. A particle is thrown at some angle with horizontal from point O, it falls at C as shown. Two triangles OAC & OBC are shown in the figure. Angle of projection from horizontal is :
A B
C x
y
O 10 cm20 cm
10 cm5 cm
(1) 1 5tan
3
(2) 1 7tan4
(3) 1 6tan5
(4) tan–1 (2) 4. A body of mass m is placed on an inclined
plane, the angle of inclination is = 37° and attached to the top end of the incline with a thread which is parallel to the slope. Then the slope is moved with a constant horizontal acceleration a. Friction is negligible. If the body
pushes the incline plane with a force of 34
mg,
value of a is:
a m
(1) 3g
4
(2) 4g3
(3) g9
(4) g12
3. ,d d.k dks fcUnq O ls {kSfrt ds lkFk dqN dks.k cukrs
gq, fp=kkuqlkj iz{ksfir fd;k tkrk gSaA tks fd fp=kkuqlkj
fcUnq C ij fxjrk gSA nks f=kHkqt OAC rFkk OBC fp=k esa iznf'kZr gSA {kSfrt ls iz{ksi.k dks.k D;k gksxkA
A B
C x
y
O 10 cm20 cm
10 cm5 cm
(1) 1 5tan
3
(2) 1 7tan4
(3) 1 6tan5
(4) tan–1 (2)
4. m nzO;eku dh oLrq = 37° urdks.k okys urry
ij j[kh gqbZ gS rFkk ;g urry ds 'kh"kZ ij ca/kh gqbZ
jLlh ls tqM+h gqbZ gSA jLlh urry ds lekUrj gSA
vc urry {kSfrt fn'kk esa fu;r Roj.k xfr izkjEHk
djrk gSA ?k"kZ.k ux.; gSA ;fn oLrq urry dks
34
mg cy ls nckrh gks rks a dk eku gksxkA
a m
(1) 3g
4
(2) 4g3
(3) g9
(4) g12

Space for Rough Work / (dPps dk;Z ds fy, LFkku)
®
Corp. / Reg. Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) - 324005 Website : www.resonance.ac.in | E-mail : [email protected]
PSET101JPAIOT1MAIN231218-3 Toll Free : 1800 258 5555 | CIN : U80302RJ2007PLC024029
5. A particle moving with constant acceleration on a straight line covers 20 m in 7th sec and 24 m in 9th sec. Distance travelled by the particle in10th sec is: (1) 26 m (2) 28 m (3) 30 m (4) 32 m
6. Three particles with the mass ratio 3:4:5
(the mass of the lightest body is m) are kept at three different points on the inner surface of a smooth hemispherical cup of radius r. The cup is fixed at its lowest point on a horizontal surface. At a certain instant, the bodies are released. All the three bodies make perfectly inelastic collision at the bottom most point of the hemisphere, such that energy loss due to the collision is maximum. Angle between the velocity vector of lightest particle and velocity vector of heaviest particle just before collision will be: (1) 53° (2) 127° (3) 143° (4) 90°
7. Moment of inertia of a disc of mass
M = 2 0.02 kg, inner radius a = 5 ± 0.05 cm, outer radius b = 7 ± 0.07 cm, with respect to an axis passing through geometrical centre of the disc and perpendicular to the plane of disc is given by (A0 ± B0 × 10–2) kg – cm2. The value
of 0
0
BA
is:
(1) 2 (2) 2.5 (3) 3 (4) 3.5
5. lh/kh js[kk ds vuqfn'k fu;r Roj.k ls xfr'khy d.k
7th sec esa 20 m nwjh rFkk 9th sec esa 24 m nwjh r;
djrk gSA 10th sec esa pyh xbZ nwjh gksxh :
(1) 26 m (2) 28 m (3) 30 m (4) 32 m
6. rhu d.kksa ds nzO;ekuksa dk vuqikr 3:4:5 gS] rFkk
lcls gYds d.k dk nzO;eku m gSA budks r f=kT;k ds
fpdus v)Zxksykdkj I;kys ds vUnj rhu fHkUu&fHkUu
fcUnqvksa ij j[kk tkrk gSA I;kys dk uhpyk fcUnq
{kSfrt lrg ij tM+or~ gSA fdlh le; d.kksa dks
NksM+k tkrk gSA lHkh d.k I;kys ds isans ij iw.kZ
vizR;kLFk :i ls bl izdkj Vdjkrs gS fd VDdj ds
dkj.k ÅtkZ gkfu vf/kdre~ gSA VDdj ds Bhd i'pkr~
lcls gYds d.k rFkk lcls Hkkjh d.k ds osx lfn'kksa
ds e/; dks.k D;k gksxkA
(1) 53° (2) 127° (3) 143° (4) 90°
7. ,d pdrh ftldk nzO;eku M = 2 0.02 kg,
vkUrfjd f=kT;k a = 5 ± 0.05 cm, ckg~; f=kT;k
b = 7 ± 0.07 cm gS] dk mlds T;kferh; dsUnz ls
xqtjus okyh rFkk pdrh ds ry ds yEcor~ v{k ds
ifjr% tM+Ro~ vk?kw.kZ (A0 ± B0 × 10–2) kg – cm2
}kjk fn;k x;k gSA 0
0
BA
dk eku Kkr djksaA
(1) 2 (2) 2.5 (3) 3 (4) 3.5

Space for Rough Work / (dPps dk;Z ds fy, LFkku)
®
Corp. / Reg. Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) - 324005 Website : www.resonance.ac.in | E-mail : [email protected]
PSET101JPAIOT1MAIN231218-4 Toll Free : 1800 258 5555 | CIN : U80302RJ2007PLC024029
8. We have a specially designed mirror, part of
which is a plane mirror and part of which is a
spherical mirror as shown.
C
R = 20 cm
Radius of curvature of spherical part is 20 cm,
C is its centre of curvature and the line shown
is its principal axis. Sizes of the mirrors are
small enough, so that paraxial approximation is
valid. A point object is moving on the principal
axis and at certain instant it is at distance
30 cm from the mirror, moving towards the
mirror with velocity 1 cm/s. At the instant
mentioned in the question, relative speed of
approach of one of the images with respect to
another image is:
(1) 34
cm/s
(2) 74
cm/s
(3) 54
cm/s
(4) 57
cm/s
8. fp=kkuqlkj fo'ks"k :Ik ls fufeZr niZ.k dk dqN Hkkx
lery rFkk dqN Hkkx xksfy; gS
C
R = 20 cm
xksfy; Hkkx dh o`Ørk f=kT;k 20 cm, rFkk o`Ørk
dsUnz C gS rFkk iznf'kZr js[kk bldh eq[; v{k gSA
niZ.k dk vkdkj bruk NksVk gS dh bl ij vkifrr
fdj.kks dks lek{kh; fdj.ks eku ldrs gSA niZ.k ls
30 cm nqjh ij fLFkr ,d fcUnqor oLrq niZ.k dh
rjQ eq[; v{k ij 1 cm/s osx ls xfr'khy gSA
iznf'kZr le; ij niZ.k ds ,d Hkkx esa izkIr izfrfcEc
rFkk nqljs Hkkx esa izkIr izfrfcEc ds e/; lkfeI; pky
D;k gksxhA
(1) 34
cm/s
(2) 74
cm/s
(3) 54
cm/s
(4) 57
cm/s

Space for Rough Work / (dPps dk;Z ds fy, LFkku)
®
Corp. / Reg. Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) - 324005 Website : www.resonance.ac.in | E-mail : [email protected]
PSET101JPAIOT1MAIN231218-5 Toll Free : 1800 258 5555 | CIN : U80302RJ2007PLC024029
9. Consider a hollow sphere of radius R, its
quarter part is cut and kept such that
geometrical centre lies at origin as shown in
figure.
x
y
x-y axis lies in plane of paper and z-axis is
to the plane of the paper. Sphere is kept in a
manner such that plane portions of sphere lies
in x-z and y-z plane. Uniform electric field
0 0 0ˆ ˆ ˆE E i 2E j 2E k
(N/c) lies in the complete
space. Electric flux coming out of the curved
surface of sphere is:
(1) 20
3 R E2
(2) 20
5 R E2
(3) 202 R E
(4) Zero
9. R f=kT;k ds [kks[kys xksys fd dYiuk fdft,A blesa
ls ,d pkSFkkbZ Hkkx bl izdkj dkVk tkrk gS fd
bldk T;kferh dsUnz fp=kkuqlkj eqy fcUnq ij gSA
x
y
x-y v{k dkxt ds ry esa gS rFkk z-v{k dkxt ds
ry ds yEcor gSaA xksyk bl izdkj j[kk gSa fd xksys
ds lery Hkkx x-z rFkk y-z ry esa gSA ,d le:Ik
fo|qr {ks=k 0 0 0ˆ ˆ ˆE E i 2E j 2E k
(N/c) bl ry esa
iq.kZ :Ik ls mifLFkr gSA xksys ds oØ i`"B ls ckgj
vkus okys fo|qr QyDl D;k gksxkA
(1) 20
3 R E2
(2) 20
5 R E2
(3) 202 R E
(4) 'kwU;

Space for Rough Work / (dPps dk;Z ds fy, LFkku)
®
Corp. / Reg. Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) - 324005 Website : www.resonance.ac.in | E-mail : [email protected]
PSET101JPAIOT1MAIN231218-6 Toll Free : 1800 258 5555 | CIN : U80302RJ2007PLC024029
10. A solenoid of inductance L and resistance R
2is connected in parallel to a resistance R. An ideal battery of emf E is connected across the parallel combination as shown in figure. Switch S is kept closed for long time and it is opened at time t = 0. Total heat generated in the solenoid after opening the switch is:
R
L, R/2
S E
(1) 2
24 LE3 R
(2) 2
21 LE3 R
(3) 2
22 LE3 R
(4) Zero
11. A homogeneous solid ball of specific gravity
2 and volume 1m3 is suspended on a weightless thread from an end of a homogeneous rod of specific gravity 3, volume 1m3. The rod is placed on the edge of a tumbler with water so that half of the ball is submerged in water when the system is in equilibrium. Density of water is 0.. Neglecting the surface tension on the boundaries between the ball and water, the ratio y/x of the parts of the rod to the brim is:
y x
(1) 4
3
(2) 2 (3) 3
(4) 73
10. L izsjdRo rFkk R2
izfrjks/k dh ifjukfydk ,d R izfrjks/k
ls lekUrj Øe esas tqM+h gSaA E fo|qr okgd cy dh ,d
vkn'kZ cSVjh fp=k esa n'kkZ;suqlkj lekarj Øe la;kstu ds
fljksa ls tqM+h gSA fLop S dks yEcs le; ds fy, cUn
j[kk x;k gS rFkk bls t = 0 ij [kksyk x;k gSA fLop
[kksyus ds ckn ifjukfydk esa mRiUu dqy Å"ek gS %
R
L, R/2
S E
(1) 2
24 LE3 R
(2) 2
21 LE3 R
(3) 2
22 LE3 R
(4) 'kwU;
11. ,d lekax Bksl xsan dk fof'k"V xq:Ro 2 rFkk vk;ru
1 m3 gS bldks nzO;ekghu /kkxs }kjk fp=kkuqlkj NM+ ds
,d fljs ls yVdk;k tkrk gSA NM+ dk fof'k"V xq:Ro
3 rFkk vk;ru 1 m3 gSA NM+ dks ikuh ls Hkjs gq, ik=k
dh nhokj ds fdukjs ij fp=kkuqlkj bl izdkj
O;ofLFkr fd;k tkrk gS fd vk/kh xsan ikuh esa Mwch
gqbZ gS rFkk fudk; lkE;koLFkk esa gSA ikuh dk ?kuRo
0 gSA ikuh rFkk xsan dh lEidZ lrg ij i`"B ruko
dk izHkko ux.; ekuksaA NM+ ds nksuksa Hkkxksa dh
yEckbZ;ksa y/x dk vuqikr D;k gksxkA y x
(1) 43
(2) 2 (3) 3
(4) 73

Space for Rough Work / (dPps dk;Z ds fy, LFkku)
®
Corp. / Reg. Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) - 324005 Website : www.resonance.ac.in | E-mail : [email protected]
PSET101JPAIOT1MAIN231218-7 Toll Free : 1800 258 5555 | CIN : U80302RJ2007PLC024029
12. A uniform solid sphere of density and radius R starts to move with constant velocity v in a gravity free viscous medium. Viscous drag follows exact stokes law, Due to Viscous drag, heat produced is completely absorbed by the sphere and sphere evaporates uniformly. Latent heat of vaporization of material of sphere is L. How long after radius of the sphere will become R/2? Coefficient of viscosity for the medium is
(1) 2
2LR
4 v
(2) 2LR
3 v
(3) 23 LR
v
(4) 22 LR3 v
13. The capacitor is charged by closing the switch
S. The switch is then opened and the capacitor is allowed to discharge. Take R1 = R2 = R3 = R (Battery is ideal and connecting wire has negligible resistance).
The fraction of the total heat generated, lost in
R1 during discharging is:
(1) 16
(2) 13
(3) 12
(4) 23
12. rFkk R f=kT;k dk ,d le:i Bksl xksyk xq:Ro
eqDr ';ku ek/;e esa fu;r osx v ls xfr izkjEHk djrk
gSA vkjksfir ';ku cy LVksd ds fu;e dk ikyu
djrk gSA ';ku cy ds dkj.k mRiUu Å"ek xksys }kjk
iw.kZ :i ls vo'kksf"kr gks tkrh gS rFkk blds dkj.k
xksyk ,d leku :i ls okf"ir gksrk gSA xksys ds
inkFkZ ds ok"iu dh xqIr Å"ek L gSA fdrus le;
i'pkr~ xksys dh f=kT;k R/2 gks tk;sxh ? ek/;e dk
';kurk xq.kkad gSA
(1) 2
2LR
4 v
(2) 2LR
3 v
(3) 23 LR
v
(4) 22 LR3 v
13. la/kkfj=k fLop S dks cUn djds vkosf'kr fd;k tkrk
gSA vc fLop dks [kksyk tkrk gS rFkk la/kkfj=k dks
fujkosf'kr gksus fn;k tkrk gSA R1 = R2 = R3 = Rekfu,A (cSVªh vkn'kZ gS rFkk la;ksftr rkj dk izfrjks/k
ux.; gSA)
fujkos'ku ds nkSjku R1 esa mRiUu dqy Å"ek gkfu dk
fdruk va'k gksxkA
(1) 16
(2) 13
(3) 12
(4) 23

Space for Rough Work / (dPps dk;Z ds fy, LFkku)
®
Corp. / Reg. Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) - 324005 Website : www.resonance.ac.in | E-mail : [email protected]
PSET101JPAIOT1MAIN231218-8 Toll Free : 1800 258 5555 | CIN : U80302RJ2007PLC024029
14. In the situation as shown in figure time period
of small vertical oscillation of block will be –
(String, springs and pulley are ideal)
(1) 2 cos 2mk
(2) 2 sec
2
mk
(3) 2 sin 2mk
(4) 2 cosec 2mk
15. An experiment is performed to determine the
I - V characteristics of a Zener diode, which
has a protective resistance of R =100 , and
maximum power of dissipation rating of 1W.
The minimum voltage range of the DC source
in the circuit is :
(1) 0 – 12V
(2) 0 – 5V
(3) 0 – 24
(4) 0 – 8V
14. fp=k esa iznf'kZr fLFkfr ds fy, fi.M+ ds vYi Å/okZ/kj
nksyuksa dk vkorZdky gksxk– (jLlh, fLiazx rFkk f?kjuh
vkn'kZ gS)
(1) 2 cos 2mk
(2) 2 sec2
mk
(3) 2 sin 2mk
(4) 2 cosec 2mk
15. tsuj Mk;ksM dk I - V vfHkykf{k.kd Kkr djus ds
fy, ,d iz;ksx fd;k tkrk gS] ftlesa R =100 dk
lqj{kkRed izfrjks/k vkSj vf/kdre~ 'kfDr dk viO;;
jsfVax 1W gSA fn"V /kkjk L=kksr (DC source) dk
U;wure~ oksYVst ijkl D;k gksxkA
(1) 0 – 12V
(2) 0 – 5V
(3) 0 – 24
(4) 0 – 8V

Space for Rough Work / (dPps dk;Z ds fy, LFkku)
®
Corp. / Reg. Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) - 324005 Website : www.resonance.ac.in | E-mail : [email protected]
PSET101JPAIOT1MAIN231218-9 Toll Free : 1800 258 5555 | CIN : U80302RJ2007PLC024029
16. A V shaped ladder is kept on the truck as
shown.
53º 53º
Friction between the truck and the ladder is
sufficient enough to prevent any slipping. A rod
is fixed between two arms (at their midpoints)
of the ladder so that ladder doesn't collapse.
This rod is massless and mass of the ladder is
m, which is uniformly distributed throughout its
length. Truck is initially at rest. Truck can
accelerate with maximum acceleration 20 m/s2
and retard with max retardation 10 m/s2.
Maximum speed of the truck can be 60 m/s.
This truck is to complete a journey of 1500 m
with maintaining the ladder in same position
with respect to the truck as it was before the
truck started moving, starting from rest and
ending at rest. Minimum time taken by the
truck for this task will be:
(1) 30 sec
(2) 29.5 sec
(3) 5 2 sec
(4) 30.5 sec
16. ,d V vkdkj dh lh<h fp=kkuqlkj Vªd ij fLFkr gSA
53º 53º
Vªd rFkk lh<h ds e/; ?k"kZ.k cy dgh Hkh fQlyu
jksdus ds fy, i;kZIr gSA lh<h dh nksuks Hkqtkvksa ds
e/; fcUnqvksa ds chp ,d NM+ tqMh gqbZ gSa ftlds
dkj.k lh<h dh nksuks Hkqtk,s vkil esas ugh feyrh gSaA
NM nzO;ekufgu gS rFkk lh<h dk nzO;eku m gS tks
fd mldh yEckbZ ij ,d leku forfjr gSaSA Vªd
izkjEHk esa fojke voLFkk esa gSA Vªd vf/kdre Roj.k
20 m/s2 rFkk vf/kdre eanu 10 m/s2 ls xfr dj
ldrk gSA Vªd dh vf/kdre pky 60 m/s gks ldrh
gSaA Vªd lh<h dks iznf'kZr fLFkfr esa j[krs gq, 1500
m dh nqjh r; djrk gSaA ;k=kk ds izkjaHk esa rFkk vUr
esa Vªd dk osx 'kqU; gSA Vªd }kjk ;k=kk esa fy;k x;k
U;qure le; D;k gksxkA
(1) 30 sec
(2) 29.5 sec
(3) 5 2 sec
(4) 30.5 sec

Space for Rough Work / (dPps dk;Z ds fy, LFkku)
®
Corp. / Reg. Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) - 324005 Website : www.resonance.ac.in | E-mail : [email protected]
PSET101JPAIOT1MAIN231218-10 Toll Free : 1800 258 5555 | CIN : U80302RJ2007PLC024029
17. Two uniform solid spheres A and B of same material, painted completely black and placed in free space separately. Their radii are R and 2R respectively and the dominating wavelengths (wavelength corresponding to which spectral emissive power is maximum) in their spectrum are observed to be in the ratio 1 : 2. Which of the following is not correct.
(1) Ratio of their temperatures is 2 : 1 (2) Ratio of their emissive powers is 4 : 1 (3) Ratio of their rates of heat loss is 4 : 1
(4) Ratio of their rates of cooling is 32 : 1 18. A photon is incident upon a hydrogen atom
ejects an electron with a kinetic energy 10.7 eV. If the ejected electron was in the first excited state. Energy of photon incident nearly will be :
(1) 14.5 eV (2) 20.9 eV (3) 24.3 eV (4) 14.1 eV
19. Consider a brass rod and a steel rod (80 cm
longer than the brass rod) at 0°c. It is observed that on increasing temperatures of the two rods by same amount difference in lengths of the two rods does not change. Given that thermal coefficient of linear expansion for steel and brass are 11 × 10–6/°C and 19 × 10–6/°C respectively, the sum of lengths of the two rods at 0°C is
(1) 2 m (2) 4m (3) 3 m (4) 1.5 m
17. nks ,d leku Bksl xksys A rFkk B leku inkFkZ ds
cus gq, gS rFkk budksa iw.kZ:i ls dkyk jax djds
eqDr vkdk'k esa vyx&vyx j[kk tkrk gSA budh
f=kT;k,sa Øe'k% R rFkk 2R gS rFkk buds LisDVªe ds
laxr eq[; izsf{kr rjaxnS/;ks± ¼rjaxnS/;Z tks vf/kdre
mRltZu LiSDVªe {kerk ds laxr gS½ dk vuqikr 1 : 2
gSA fuEu esa ls dkSulk fodYi lgh ugha gSA
(1) buds rkieku dk vuqikr 2 : 1 gS
(2) budh mRltZu {kerk dk vuqikr 4 : 1 gS
(3) budh Å"ek Ðkl dh nj dk vuqikr 4 : 1 gS
(4) buds B.Ms gksus dh nj dk vuqikr 32 : 1 gS
18. ,d QksVkWu gkbMªkstu ijek.kq ij vkifrr gksrk gS] tks
10.7 eV. xfrt ÅtkZ ,d bysDVªkWu mRlftZr djrk
gSA;fn mRlftZr bysDVªkWu izFke mRrsftr voLFkk esa
gSA rc vkifrr QksVkWu dh ÅtkZ yxHkx gksxh
(1) 14.5 eV (2) 20.9 eV (3) 24.3 eV (4) 14.1 eV
19. 0°C ij LVhy dh NM+ ihry dh NM+ ls 80 cm
T;knk yEch gSA ;g izsf{kr fd;k tkrk gS fd nksuksa
NM+ksa dk leku rkieku c<+kus ij nksuksa NM+ksa dh
yEckbZ esa vUrj ifjofrZr ugha gksrk gSA ;fn LVhy
rFkk ihry dh NM+ksa ds rkih; jS[kh; izlkj xq.kkad
Øe'k% 11 × 10–6/°C rFkk 19 × 10–6/°C gks rks 0°C
ij nksuksa NM+ksa dh yEckbZ dk ;ksx gksxk &
(1) 2 m (2) 4m (3) 3 m (4) 1.5 m

Space for Rough Work / (dPps dk;Z ds fy, LFkku)
®
Corp. / Reg. Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) - 324005 Website : www.resonance.ac.in | E-mail : [email protected]
PSET101JPAIOT1MAIN231218-11 Toll Free : 1800 258 5555 | CIN : U80302RJ2007PLC024029
20. If unit of mass, length and time are doubled
then in this new system the which of the
following, will not have same magnitude : (1) Gravitational constant
(2) Gravitational force
(3) Power of gravitational force
(4) Gravitational energy
21. To get an output of 1 from the circuit shown in
figure the input must be :
a b
c
Y
(1) a =1, b =1, c = 0
(2) a =1, b =0, c = 0
(3) a =0, b = 0, c = 1
(4) a =1, b =0, c = 1
22. Astronomers observe two separate solar
systems, each consisting of a planet orbiting a
sun. The two orbits are circular and have the
same radius R. It is determined that the planets
have angular momenta of the same magnitude
L about their suns, and that the orbital periods
are in the ratio of three to one ; i.e., T1 = 3T2.
The ratio m1/m2 of the masses of the two
planets is
(1) 1
(2) 3
(3) 2
(4) 3
20. ;fn nzO;eku, yEckbZ rFkk le; dh bdkbZ nqxuh gks
tk;s rks bl u;h i)fr esa dkSulh jkf'k dk ifjek.k
leku ugha gksxk (1) xq:Rokd"kZ.k fu;rkad
(2) xq:Rokd"kZ.k cy
(3) xq:Rokd"kZ.k cy dh 'kfDr
(4) xq:Rokd"kZ.k ÅtkZ
21. fp=k esa fn[kk;s x;s ifjiFk esa fuxZr 1 izkIr djus ds
fy, fuos'k D;k gksuk pkfg, :
a b
c
Y
(1) a =1, b =1, c = 0
(2) a =1, b =0, c = 0 (3) a =0, b = 0, c = 1
(4) a =1, b =0, c = 1
22. ,d [kxksy'kkL=kh nks iFkd lksyj fudk; dks izsf{kr djrk
gSA izR;sd fudk; ,d lw;Z ds ifjr% ifjØek djrs gq,
xzg ls fufeZr gS, nksuksa d{kk;sa oÙkkdkj gS rFkk nksuksa dh
f=kT;k R gSA ;g Kkr gS fd xzgksa dk lw;Z ds ifjr%
dks.kh; laosx dk ifjek.k L leku rFkk muds d{kh;
vkoZrdkyksa dk vuqikr 3 : 1 gS] vFkkZr T1 = 3T2 A nksuksa
xzgksa ds nzO;ekuksa dk vuqikr m1/m2 gksxkA
(1) 1
(2) 3
(3) 2
(4) 3

Space for Rough Work / (dPps dk;Z ds fy, LFkku)
®
Corp. / Reg. Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) - 324005 Website : www.resonance.ac.in | E-mail : [email protected]
PSET101JPAIOT1MAIN231218-12 Toll Free : 1800 258 5555 | CIN : U80302RJ2007PLC024029
23. 5 identical thin conducting plates are kept parallel to each other such that separation between each plate is d. Area of each plate is A. Plates are arranged as shown in figure. All wires are conducting.
Switch S is closed, find the work done by
battery. (A >> > d2)
(1) d5
AV20
(2) d5AV2 2
0
(3) d2AV3 2
0
(4) dAV2 2
0
24. Conductor PQRSTU is carrying a current ‘i’ as
shown and QR and ST are bent in the form of quarter circles. OX, OY and OZ are three orthogonal coordinate axes. i , j and k have usual meaning. The magnetic filed at O is
(1) 0i ˆ ˆ[ j k]
8a
(2) 0i ˆ ˆ[ j 0.25k]8a
(3) 0i ˆ ˆ[ i j]8a
(4) 0i ˆ ˆ[ i 0.25 j]8a
23. 5 le:i iryh pkyd IysVsa lekUrj esa ,d&nwljs ls
d nwjh ij j[kh gqbZ gSA çR;sd IysV dk {ks=kQy A gSA IysVsa fp=k esa n'kkZ,uqlkj O;ofLFkr gSA lHkh rkj
pkyd gSA
fLop S cUn gS, cSVjh }kjk fd;k x;k dk;Z Kkr
dhft,A (A >> > d2)
(1) d5
AV20
(2) d5AV2 2
0
(3) d2AV3 2
0
(4) dAV2 2
0
24. pkyd PQRSTU esa fp=kkuqlkj ‘i’ /kkjk izokfgr gks jgh gS rFkk QR o ST dks prqFkkZ'k oÙk ds :i esa eksM+k tkrk gSA
OX, OY rFkk OZ rhu yEcor~ funsZ'kkad gSA i , j rFkk
k ds vius lkekU; vFkZ gSA O ij pqEcdh; {ks=k gksxkA
(1) 0i ˆ ˆ[ j k]8a
(2) 0i ˆ ˆ[ j 0.25k]8a
(3) 0i ˆ ˆ[ i j]8a
(4) 0i ˆ ˆ[ i 0.25 j]8a

Space for Rough Work / (dPps dk;Z ds fy, LFkku)
®
Corp. / Reg. Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) - 324005 Website : www.resonance.ac.in | E-mail : [email protected]
PSET101JPAIOT1MAIN231218-13 Toll Free : 1800 258 5555 | CIN : U80302RJ2007PLC024029
25. A transverse sinusoidal wave of amplitude
2 mm is setup in a long uniform string.
Snapshot of string from x = 0 to x = meter is
taken at t = 0, which is shown. Velocity of point
P is in –y direction. Magnitude of relative
velocity of P with respect to Q is 2 cm/s.
Choose the correct option:
(1) wave equation is y = (2 × 10–3) sin
(–5t – 2x + 6 ) (m)
(2) wave equation is y = (2 × 10–3) sin
(5t + 2x + 6 ) (m)
(3) wave equation is y = (2 × 10–3) sin
(5t + 2x + 56 ) (m)
(4) wave equation is y = (2 × 10–3) sin
(5t – 2x + 6 ) (m)
25. 2 mm vk;ke dh ,d vuqizLFk T;kofØ; rajx ,d
yEch ,d leku Mksjh esa lapfjr gSA x = 0 ls
x = ehVj rd Mksjh dk izfr:i t = 0 ij fp=kkuqlkj
fy;k x;k gSA fcUnq P dk osx _.kkRed –y fn'kk esa
gSA Q ds lkis{k P ds osx dk ifjek.k 2 cm/s gSA
lgh fodYi dk p;u dhft,A
(1) rjax lehdj.k y = (2 × 10–3) sin
(–5t – 2x + 6 ) (m) gksxhA
(2) rjax lehdj.k y = (2 × 10–3) sin
(5t + 2x + 6 ) (m) gksxhA
(3) rjax lehdj.k y = (2 × 10–3) sin
(5t + 2x + 56 ) (m) gksxhA
(4) rjax lehdj.k y = (2 × 10–3) sin
(5t – 2x + 6 ) (m) gksxhA

Space for Rough Work / (dPps dk;Z ds fy, LFkku)
®
Corp. / Reg. Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) - 324005 Website : www.resonance.ac.in | E-mail : [email protected]
PSET101JPAIOT1MAIN231218-14 Toll Free : 1800 258 5555 | CIN : U80302RJ2007PLC024029
26. In the circuit shown, the power factor of the
circuit is 35
. Power factor of only RC circuit is
45
. Source voltage is 100 volt and its angular
frequency = 100 rad/sec. RMS current in circuit is 5A. If inductive reactance is greater then capacitive reactance then the value of self inductance L is.
L C R
~
V = 100 volt = 100 rad/sec
(1) 1H2
(2) 1H3
(3) 1H
(4) H41
27. When a metallic surface is illuminated with
monochromatic light of wavelength , the stopping potential is 5 V0. When the same surface is illuminated with light of wavelength 3, the stopping potential is V0. Then the work function of the metallic surface is :
(1) hc6
(2) hc5
(3) hc4
(4) 2hc4
26. n'kkZ;s x;s ifjiFk esa ifjiFk dk 'kfDr xq.kakd 35
gSA
dsoy RC ifjiFk dk 'kfDr xq.kkad 45
gSA L=kksr
oksYVst 100 oksYV ,oa bldh dks.kh; vko`fÙk
= 100 rad/sec gSA ifjiFk esa oxZ ek/; ewy /kkjk
5A gSA ;fn izsjfd; izfr?kkr /kkjrh; izfr?kkr ls
vf/kd gS] rc LoizsjdRo L dk eku gksxkA
L C R
~
V = 100 oksYV = 100 rad/sec
(1) 1H2
(2) 1H3
(3) 1H
(4) H41
27. tc ,d /kkfRod lrg dks , rjaxnS/;Z ds ,do.khZ;
çdk'k ls çdkf'kr fd;k tkrk gS rks fujks/kh foHko
5 V0 gSA tc bl lrg dks 3 rjaxnS/;Z ds çdk'k ls
çdkf'kr fd;k tkrk gS rks fujks/kh foHko V0 gSA
/kkfRod lrg dk dk;ZQyu gS
(1) hc6
(2) hc5
(3) hc4
(4) 2hc4

Space for Rough Work / (dPps dk;Z ds fy, LFkku)
®
Corp. / Reg. Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) - 324005 Website : www.resonance.ac.in | E-mail : [email protected]
PSET101JPAIOT1MAIN231218-15 Toll Free : 1800 258 5555 | CIN : U80302RJ2007PLC024029
28. A body of mass 2 kg is moved from A to B by an external agent in a conservative force field. If the speed of the body at the point A and B are 5m/s and 3m/s respectively and the work done by the external agent is –10J then find the change in potential energy in the process.
(1) – 16 J (2) 6 J (3) 10 J (4) – 10 J
29. A small bead of mass 'm' is threaded on a
frictionless circular wire of radius 'a'. The circular wire frame is rotated about its vertical diameter as shown. (Assume acceleration due to gravity is g) The angular speed required if the bead is to be made to move in a horizontal
circle of radius a 32
is :
(1) 1/ 2g
a
(2) 1/ 22g
a
(3) 1/23g
2a
(4) 1/ 23g
a
28. 2 kg dh ,d oLrq dks ckg~; dkjd }kjk laj{kh cy
{ks=k esa A ls B rd xfr djk;h tkrh gSA ;fn fcUnq
A rFkk B ij oLrq dh pky Øe'k% 5m/s rFkk 3m/s gS
rFkk ckg~; dkjd }kjk fd;k x;k dk;Z –10J gSA rc
izØe ds nkSjku fLFkfrt ÅtkZ esa ifjorZu gksxkA (1) – 16 J
(2) 6 J (3) 10 J (4) – 10 J
29. 'm' nzO;eku dk ,d NksVk eksrh a f=kT;k ds o`Ùkh;
?k"kZ.k jfgr rkj ij fLFkr gSA ;g o`Ùkh; rkj dk Ýse
Å/okZ/kj O;kl ds ifjr% fp=kkuqlkj ?kw.kZu dj jgk gSA
(ekuk xq:Ro ds dkj.k Roj.k g gSA) ?k"kZ.k dh
vuqifLFkfr esa eksrh dks a 3
2 f=kT;k ds {kSfrt o`Ùkh;
iFk esa pykus ds fy, vko';d dks.kh; pky D;k
gksxhA
(1) 1/ 2g
a
(2) 1/ 22g
a
(3) 1/23g
2a
(4) 1/ 23g
a

Space for Rough Work / (dPps dk;Z ds fy, LFkku)
®
Corp. / Reg. Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) - 324005 Website : www.resonance.ac.in | E-mail : [email protected]
PSET101JPAIOT1MAIN231218-16 Toll Free : 1800 258 5555 | CIN : U80302RJ2007PLC024029
30. In Young's double slit experiment, the distance
between slits and the screen is 1.0 m and
monochromatic light of 600 nm is being used.
A person standing near the slits is looking at
the fringe pattern. When the separation
between the slits is varied, the interference
pattern disappears for a particular distance d0
between the slits. If the angular resolution of
the eye is 160 the value of d0 is close to
(1) 2 mm
(2) 1 mm
(3) 3 mm
(4) 4 mm
30. ;ax ds f}fLyV iz;ksx esa] fLyV vkSj insZ ds chp nwjh
1.0 m vksj 600 nm rjaxnS/;Z dh ,do.khZ; izdk'k
dk bLrseky fd;k x;k gSA ,d O;fDr fLyV ds
lehi [kM+k gS] og fÝat izk:i dks ns[krk gSA tc
fLyVksa ds chp dh nwfj;ksa dks cnyk tkrk gS rks
O;frdj.k izk:i] fLyVksa ds chp ,d fo'ks"k nwjh d0 ds
fy, xk;c gks tkrk gSA vxj vkW[kkas dk dks.kh;
ladYi (,asX;yj jst+yw'k~u~) 160 gS rks d0 dk eku
fuEufyf[kr fodYiksa esa ls fdlds lehi gS
(1) 2 mm
(2) 1 mm
(3) 3 mm
(4) 4 mm

Corp. Reg. /Office: CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005
Website : www.resonance.ac.in | E-mail : [email protected] CSET101JPAIOT1MAIN231218-17
Toll Free : 1800 258 5555 | CIN: U80302RJ2007PLC024029
Space for Rough Work / (dPps dk;Z ds fy, LFkku )
PART – B
Atomic masses : [H = 1, D = 2, Li = 7, C = 12,
N = 14, O = 16, F = 19, Na = 23, Mg = 24, Al = 27,
Si = 28, P = 31, S = 32, Cl = 35.5, K = 39, Ca = 40,
Cr = 52, Mn = 55, Fe = 56, Cu = 63.5, Zn = 65,
As = 75, Br = 80, Ag = 108, I = 127, Ba = 137,
Hg = 200, Pb = 207]
SECTION - I
Straight Objective Type
This section contains 30 multiple choice questions.
Each question has 4 choices (1), (2), (3) and (4) for
its answer, out of which ONLY ONE is correct.
31. A solution is prepared by urea and water. If
mole fraction of water is 0.8 in the solution
then find the ratio of mass of urea & water.
(1) 6
5
(2) 4
1
(3) 1
1
(4) 1
4
Hkkx– B
Atomic masses : [H = 1, D = 2, Li = 7, C = 12,
N = 14, O = 16, F = 19, Na = 23, Mg = 24, Al = 27,
Si = 28, P = 31, S = 32, Cl = 35.5, K = 39, Ca = 40,
Cr = 52, Mn = 55, Fe = 56, Cu = 63.5, Zn = 65,
As = 75, Br = 80, Ag = 108, I = 127, Ba = 137,
Hg = 200, Pb = 207]
[k.M - I
lh/ks oLrqfu"B izdkj
bl [k.M esa 30 cgq&fodYih iz'u gSaA izR;sd iz'u ds
4 fodYi (1), (2), (3) rFkk (4) gSa] ftuesa ls flQZ ,d
lgh gSA
31. ;wfj;k o ty }kjk ,d foy;u cuk;k x;kA ;fn
foy;u esa ty dh eksy fHkUu 0.8 gS rks ;wfj;k
o ty ds nzO;eku dk vuqikr Kkr dhft,A
(1) 6
5
(2) 4
1
(3) 1
1
(4) 1
4

Corp. Reg. /Office: CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005
Website : www.resonance.ac.in | E-mail : [email protected] CSET101JPAIOT1MAIN231218-18
Toll Free : 1800 258 5555 | CIN: U80302RJ2007PLC024029
Space for Rough Work / (dPps dk;Z ds fy, LFkku )
32. Decomposition of A follows first order kinetics
by the following equation.
4A(g)
B(g) + 2C(g)
If initially, total pressure was 800 mm of Hg
and after 10 minutes it is found to be 650 mm
of Hg. What is half-life of A ?
(Assume only A is present initially)
(1) 10 minute
(2) 5 minute
(3) 7.5 minute
(4) None of these
33. Which of the following is incorrect statement
regarding A = [Co(en)2Cl
2]+ and
B = [Co(NH3)
4Cl
2]+.
(1) A is thermodinamically more stable than B
(2) A can show optical isomerism
(3) A and B both are diamagnetic
(4) A is outer orbital complex while B is inner
orbital complex
34. For a gaseous reaction A + 3B 2C H
= –90 KJ, S = – 200 JK–1 at 400 K.
For the reaction B2
3A
2
1 C at 400 K,
G (in KJ) is:
(1) –10 KJ
(2) – 5 KJ
(3) 20 KJ
(4) None of these
32. A dk fo;kstu fuEu lehdj.k }kjk izFke dksfV dh
cyxfrdh dk ikyu djrk gSA
4A(g)
B(g) + 2C(g)
;fn izkjEHk esa] dqy nkc 800 mm Hg ik;k x;k
rFkk 10 feuV i'pkr~ ;g 650 mm Hg ik;k x;kA
A dh v)Z&vk;q D;k gS ? ¼ekuk fd izkjEHk esa dsoy
A mifLFkr gSa½
(1) 10 feuV
(2) 5 feuV
(3) 7.5 feuV
(4) buesa ls dksbZ ugha
33. fuEu esa ls dkSulk dFku A = [Co(en)2Cl
2]+ rFkk
B = [Co(NH3)
4Cl
2]+ ds lanHkZ esa vlR; gS \
(1) A Å"ekxfrdh; :i ls, B dh rqyuk esa vf/kd
LFkk;h gSA
(2) A izdkf'kd leko;ork n'kkZ ldrk gSA
(3) A rFkk B nksuksa izfrpqEcdh; gSA
(4) A ,d ckâ; d{kd ladqy gS tcfd
B vkUrfjd d{kd ladqy gSA
34. ,d xSlh; vfHkfØ;k A + 3B 2C ds fy,
400 K ij H = –90 KJ, S = – 200 JK–1
400 K ij vfHkfØ;k B2
3A
2
1 C ds fy,
G (KJ esa) gksxk&
(1) –10 KJ
(2) – 5 KJ
(3) 20 KJ
(4) bues ls dksbZ ugha

Corp. Reg. /Office: CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005
Website : www.resonance.ac.in | E-mail : [email protected] CSET101JPAIOT1MAIN231218-19
Toll Free : 1800 258 5555 | CIN: U80302RJ2007PLC024029
Space for Rough Work / (dPps dk;Z ds fy, LFkku )
35. The incorrect statement amongs the following
is :
(1) beryllium oxide is amphoteric in nature
(2) solubility of sulphates of second group
elements decreases down the group
(3) reducing power of hydride of alkali metal
decreases down the group
(4) Berylium has diagonal relationship with
alumunium
36. The e.m.f. of a cell corresponding to the
reaction :
Zn + 2H+ (aq) Zn2+ (0.1M) + H2(g) (1 bar)
is 0.169 volt at 25ºC. Calculate the pH of the
solution at the hydrogen electrode.
º
/ZnZn +2E = – 0.76 volt and º
/HH 2+E
= 0
(1) 9
(2) 11.5
(3) 8.5
(4) 10.5
37. HSOXOHOSMn 242
282
2
The magnetic moment (spin only) of [X] is :
(1) 0
(2) 3 BM
(3) 15 BM
(4) 24 BM
35. fuEu esa ls xyr dFku gS &
(1) csjhfy;e vkWDlkbM mHk;/kehZ izd`fr dk gksrk gSA
(2) f}rh; oxZ ds rRoksa ds lYQsVksa dh foys;rk oxZ
esa uhps dh vksj ?kVrh gSA
(3) {kkjh; /kkrqvksa ds gkbMªkbM dh vipk;d {kerk
oxZ esa uhps dh vksj ?kVrh gS
(4) csfjfy;e] ,Y;qfefu;e ds lkFk fod.kZ laca/k
j[krk gSA
36. vfHkfØ;k %
Zn + 2H+ (aq) Zn2+ (0.1M) + H2(g) (1 bar)
ls lacaf/kr lsy dk e.m.f. 25°C ij 0.169 oksYV gS
rks gkbMªkstu bysDVªksM ij] foy;u ds pH dh x.kuk
dhft,A
º
/ZnZn +2E = – 0.76 oksYV rFkk º
/HH 2+E
= 0
(1) 9
(2) 11.5
(3) 8.5
(4) 10.5
37. HSOXOHOSMn 242
282
2
[X] dk pqEcdh; vk?kw.kZ ¼dsoy pØ.k½ gS &
(1) 0
(2) 3 BM
(3) 15 BM
(4) 24 BM

Corp. Reg. /Office: CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005
Website : www.resonance.ac.in | E-mail : [email protected] CSET101JPAIOT1MAIN231218-20
Toll Free : 1800 258 5555 | CIN: U80302RJ2007PLC024029
Space for Rough Work / (dPps dk;Z ds fy, LFkku )
38. The complex [Fe(H2O)5(NO)]2+ is formed in
the –3NO radical brown ring test. Select the
incorrect statement regarding this complex :
(1) Colour is due to charge transfer.
(2) It has iron in +1 oxidation state and NO+
ligand.
(3) It has magnetic moment (spin only) of
3.87 BM with three unpaired electrons.
(4) It has d2sp3 hybridisation.
39. (NH4)2Cr2O7 on heating gives a gas / vapour,
which is also produced in significant quantity
by :
(I) heating NH4Cl
(II) heating CuSO4.5H2O
(III) heating Ba(N3)2
(IV) treating NaNO3 with Zn in basic
medium.
(1) Only III
(2) I, IV
(3) Only IV
(4) II, III
40. Total number of nodal planes in *p2 x
molecular orbital is ………
(1) 0
(2) 1
(3) 3
(4) 2
38. ladqy [Fe(H2O)5(NO)]2+, –3NO ewyd ds Hkwjh
oy; ijh{k.k esa curk gSA bl ladqy ds lanHkZ esa
xyr dFku dk p;u dhft,&
(1) jax vkos'k LFkkukUrj.k ds dkj.k gksrk gSA
(2) ;g +1 vkWDlhdj.k voLFkk es vk;ju rFkk
NO+ fyxs.M j[krk gSA
(3) ;g rhu v;qfXer bysDVªkWuksa ;qDr 3.87 BM dk
pqEcdh; vk?kw.kZ ¼dsoy pØ.k½ j[krk gSA
(4) ;g d2sp3 ladj.k j[krk gSa
39. (NH4)2Cr2O7 xeZ djus ij xSl@ok"i nsrk gS] tks
fuEu }kjk Hkh lkFkZd ek=kk es mRiUu gksrh gS &
(I) NH4Cl dks xeZ djus ij
(II) CuSO4.5H2O dks xeZ djus ij
(III) Ba(N3)2 dks xeZ djus ij
(IV) {kkjh; ek/;e esa Zn ds lkFk NaNO3 dks
mipkfjr djus ij
(1) dsoy III
(2) I, IV
(3) dsoy IV
(4) II, III
40. *p2 x
vkf.od d{kd esa dqy uksM+y ry dh la[;k -
---------------- gSA
(1) 0
(2) 1
(3) 3
(4) 2

Corp. Reg. /Office: CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005
Website : www.resonance.ac.in | E-mail : [email protected] CSET101JPAIOT1MAIN231218-21
Toll Free : 1800 258 5555 | CIN: U80302RJ2007PLC024029
Space for Rough Work / (dPps dk;Z ds fy, LFkku )
41. The graph of compressibility factor (Z) v/s P
for 1 mol of a real gas is shown in following
diagram. The graph is plotted at 273 K
temperature. If slope of graph at very high
pressure dZ
dP
is 1
2.8
atm–1 then calculate
volume of 1 mol of real gas molecules in
(L/mol).
[Given NA = 6× 1023 and R = 22.4
273 L atm K–1
mol–1]
–1dZ 1atm
dP 2.8
P
1
Z
(1) 1
(2) 2
(3) 3
(4) 4
42. The total number of orbitals associated with
the principal quantum number 4 is:
(1) 5
(2) 20
(3) 16
(4) 10
43. 50 mL of 0.2 M ammonia solution is treated
with 50 mL of 0.2 M HCl . If pKb of ammonia
solution is 4.7, the pH of the mixture will be :
(1) 4.15
(2) 3.75
(3) 8.85
(4) None of these
41. ,d eksy okLrfod xSl ds fy, lEihM~;rk xq.kkad
(Z) rFkk P ds e/; xzkQ fuEu vkjs[k esa n'kkZ;k x;k
gSA 273 K rki ij xzkQ vkysf[kr fd;k x;k gSA
;fn vfr mPp nkc ij xzkQ dk
<+kydZ
dP
,1
2.8
atm–1 gS] rc 1 eksy okLrfod
xSl v.kqvksa dk vk;ru (L/eksy) ifjdfyr dhft,A
[fn;k x;k gS NA = 6× 1023 rFkk R = 22.4
273 L atm
K–1 mol–1]
–1dZ 1atm
dP 2.8
P
1
Z
(1) 1
(2) 2
(3) 3
(4) 4
42. eq[; DokaVe la[;k 4 ls lEcfU/kr d{kdksa dh dqy
la[;k gS %
(1) 5
(2) 20
(3) 16
(4) 10
43. 0.2 M veksfu;k foy;u dk 50 mL, 0.2 M HCl ds
50 mL vEy ds lkFk fØ;k djrk gSA ;fn veksfu;k
foy;u dk pKb 4.7 gS] rc feJ.k dk pH gksxh %
(1) 4.15
(2) 3.75
(3) 8.85
(4) bues ls dksbZ ugha

Corp. Reg. /Office: CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005
Website : www.resonance.ac.in | E-mail : [email protected] CSET101JPAIOT1MAIN231218-22
Toll Free : 1800 258 5555 | CIN: U80302RJ2007PLC024029
Space for Rough Work / (dPps dk;Z ds fy, LFkku )
44. An element has body centered cubic
structure with a cell edge length of 3.0 Å. The
density of the metal is 2 amu/Å3. How many
unit cells are present in 216 amu of this
element ?
(1) 1
(2) 2
(3) 4
(4) None of these
45. Which of the following statements are
correct?
(A) Principle of chromatographic operation is
adsorption.
(B) For adsorption : G < O, S < O, H < O
(C) Zeolites are used as catalyst in
petrochemical industries during cracking.
(D) In chemical adsorption, multilayer may be
formed on adsorbent.
(1) A, B, D
(2) B, C
(3) A, B, C
(4) B, D
44. ,d rRo 3.0 Å dksf"Bdk dksj yEckbZ okyh dk;
dsfUnz; ?kuh; lajpuk j[krk gSA /kkrq dk ?kuRo
2 amu/Å3 gSA bl rRo ds 216 amu esa fdruh
,dd dksf"Bdk;sa mifLFkr gS \
(1) 1
(2) 2
(3) 4
(4) bues ls dksbZ ugha
45. fuEu esa ls dkSuls dFku lgh gSa \
(A) o.kZysf[kdh (chromatographic) izØe dk
fl)kUr vf/k'kks"k.k gSA
(B) vf/k'kks"k.k ds fy, : G < O, S < O, H < O
(C) ftvksykbV] isVªksfy;e m|ksxksa esa Hkatu
(cracking) ds nkSjku mRizsjd ds :i esa iz;qDr
gksrk gSA
(D) jklk;fud vf/k'kks"k.k esa] cgqijr vf/k'kks"kd
(adsorbent) ij cu ldrh gSA
(1) A, B, D
(2) B, C
(3) A, B, C
(4) B, D

Corp. Reg. /Office: CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005
Website : www.resonance.ac.in | E-mail : [email protected] CSET101JPAIOT1MAIN231218-23
Toll Free : 1800 258 5555 | CIN: U80302RJ2007PLC024029
Space for Rough Work / (dPps dk;Z ds fy, LFkku )
46. In order to refine ‘blister copper' it is melted in
furnace and is stirred with green logs of
wood. The purpose is:
(1) to expel the dissolved gases in blister
copper
(2) to reduce the metallic oxide impurities
with hydrocarbon gases liberated from
the wood
. (3) to bring the impurities to surface and
oxidize them
(4) to increase the carbon content in the
copper
47. Which of the following statement(s) are
correct about SO2Cl2 ?
(I) ClSClClSOOSO
bond angle
(II) Number of p– p bonds < Number of
p–d bonds
(III) 1 mol of this reacts with 0.1 mol P4
(IV) It's aqueous solution does not give pink
colour with phenolphthalein.
(1) I, II, III
(2) I,II,III, IV
(3) III, IV
(4) I, II
46. ^QQksysnkj dkWij* dks 'kksf/kr djus ds fy, bldks
HkV~Vh esa xyk;k tkrk gSa ,oe~ ydM+h ds gjs yV~Bksa
ds lkFk fgyk;k tkrk gaSA bldk m)s'; fuEu gSa&
(1) QQksysnkj dkWij esa ?kqyh xSlksa dks fudkyukA
(2) ydM+h ds yV~Bksa ls fudyus okyh gkbMªksdkcZu
xSlksa ds }kjk /kkfRod vkWDlkbM v'kqf);ksa dks
vipf;r djuk
(3) lrg ij v'kqf);ksa dks ykdj vkWDlhd`r djukA
(4) dkWij esa dkcZu vo;o dh o`f) djukA
47. SO2Cl2 ds lUnHkZ esa fuEu esa ls dkSuls dFku lgh
gSa\
(I) ClSClClSOOSO
ca/k dks.k
(II) p– p ca/kksa dh la[;k < p–d ca/kksa dh la[;k
(III) blds 1 eksy 0.1 eksy P4 ds lkFk fØ;k djrs
gSA
(IV) bldk tyh; foy;u fQukW¶Fksyhu ds lkFk
xqykch jax ugha nsrk gSA
(1) I, II, IV
(2) I,II,III, IV
(3) III, IV
(4) I, II

Corp. Reg. /Office: CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005
Website : www.resonance.ac.in | E-mail : [email protected] CSET101JPAIOT1MAIN231218-24
Toll Free : 1800 258 5555 | CIN: U80302RJ2007PLC024029
Space for Rough Work / (dPps dk;Z ds fy, LFkku )
48. Let the plasma cell wall of shark is a
semipermeable membrane. When these cells
were kept in a series of NaCl solution of
different concentration at 25°C, these cells
remain intact in 0.7% (w/w) NaCl solution,
shrank in more concentrated solution and
swelled in dilute solution. What is the
osmotic pressure of the cell cytoplasm at
25°C? Given Kf of water = 1.86 kgmol–1K and
water freezes from the 0.7% (w/w) salt
solution at – 0.418°C. Assume solution is
dilute in each case. (R = 0.08 atm L / mol K)
(1) 2.3 atm
(2) 4.7 atm
(3) 5.3 atm
(4) 10.1 atm
49. When grignard reagent (excess) is treated
with isopropyl formate followed by acid
hydrolysis we get:
(1) Aldehyde
(2) 2º alcohol
(3) 3º alcohol
(4) 1º alcohol
48. ekuk 'kkdZ dh IykTek dksf'kdk fHkfÙk ,d
v)ZikjxE; f>Yyh gS] tc bu dksf'kdkvksa dks 25°C
ij fofHkUu lkUnzrk ds NaCl foy;u dh Js.kh esa
j[krs gSa rks ;s dksf'kdk,sa 0.7% (w/w) NaCl foy;u
esa v[kf.Mr jgrh gS] ;s dksf'kdk,¡ vf/kd lkfUnzr
foy;u esa fldqM+ tkrh gS rFkk ruq foy;u esa Qwy
tkrh gSA 25°C ij dksf'kdk ds dksf'kdk nzO;
(cytoplasm) dk ijklj.k nkc D;k gS \ fn;k gS %
ty ds fy, Kf = 1.86 kgmol–1K rFkk – 0.418°C
ij 0.7% (w/w) yo.k ds tyh; foy;u esa ty
terk gSA ekuk foy;u izR;sd fLFkfr esa ruq gSA
(R = 0.08 atm L / mol K)
(1) 2.3 atm
(2) 4.7 atm
(3) 5.3 atm
(4) 10.1 atm
49. fxzU;kj vfHkdeZd ¼vkf/kD;½ dks vkblksizksfiy QkWesZV
ds lkFk vfHkd`r djus ds ckn vEyh; ty vi?kVu
ls izkIr mRikn gksxk %
(1) ,fYMgkbM
(2) 2º ,YdksgkWy
(3) 3º ,YdksgkWy
(4) 1º ,YdksgkWy

Corp. Reg. /Office: CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005
Website : www.resonance.ac.in | E-mail : [email protected] CSET101JPAIOT1MAIN231218-25
Toll Free : 1800 258 5555 | CIN: U80302RJ2007PLC024029
Space for Rough Work / (dPps dk;Z ds fy, LFkku )
50. Which of the following reactions report the
correct major products?
I. + CH3–CH2–CH2–Cl 3AlCl
II. 3AgNO.aq
III. Zn
IV.
H
OH2CH2CH3CH
(1) I, III (2) III, IV
(3) II, III, IV (4) I, III, II
51.
Product P will be :
(1)
O
(2)
OH
(3)
(4)
50. fuEu esa ls dkSulh vfHkfØ;k,¡ lgh eq[; mRikn
crkrh gSa \
I. + CH3–CH2–CH2–Cl 3AlCl
II. 3AgNO.aq
III. Zn
IV.
H
OH2CH2CH3CH
(1) I, III (2) III, IV
(3) II, III, IV (4) I, III, II
51.
eq[;
mRikn P D;k gksxk %
(1)
O
(2)
OH
(3)
(4)

Corp. Reg. /Office: CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005
Website : www.resonance.ac.in | E-mail : [email protected] CSET101JPAIOT1MAIN231218-26
Toll Free : 1800 258 5555 | CIN: U80302RJ2007PLC024029
Space for Rough Work / (dPps dk;Z ds fy, LFkku )
52. An optically active aldotetraose which retains
its optical activity with aqueous Br2 but
looses its optical activity with conc. HNO3
has the following structure :
(i)
H OH
CHO
H OH
CH OH2
(ii) H OH
CHO
CH OH2
(iii)
CHO
CH OH2
(iv)
CHO
CH OH2
(1) i,ii
(2) i,iii
(3) ii, iii
(4) ii,iv
53. Consider the following sequence of reaction:
Ph–COOH A B
C H /Ni2
D.
The final product D is :
(1) Benzonitrile
(2) Benzylamine
(3) Aniline
(4) Benzamide
52. ,d izdkf'kd lfØ; ,YMksVsVªksl ftldh tyh; Br2
ds lkFk vfHkfØ;k djus ij bldh izdkf'kd
lfØ;rk ;FkklEHko jgrh gS ysfdu lkUnz HNO3 ds
lkFk ;g izdkf'kd lfØ;rk [kks nsrk gSA vr%
mijksDr ;kSfxd dh lajpuk gksxh %
(i)
H OH
CHO
H OH
CH OH2
(ii) H OH
CHO
CH OH2
(iii)
CHO
CH OH2
(iv)
CHO
CH OH2
(1) i,ii
(2) i,iii
(3) ii, iii
(4) ii,iv
53. vfHkfØ;k ds fuEu Øe ij fopkj dhft;s %
Ph–COOH A B
C H /Ni2
D.
vfUre mRikn D gksxk %
(1) csUtksukbVªkby
(2) csfUty,ehu
(3) ,fuyhu
(4) csUtkekbM

Corp. Reg. /Office: CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005
Website : www.resonance.ac.in | E-mail : [email protected] CSET101JPAIOT1MAIN231218-27
Toll Free : 1800 258 5555 | CIN: U80302RJ2007PLC024029
Space for Rough Work / (dPps dk;Z ds fy, LFkku )
54. OHEt/ONaEt
/4SO2H [X]
The product [X] is :
(1) (2)
(3) (4)
55. Which of the following acid is a vitamin?
(1) Aspartic acid
(2) Ascorbic acid
(3) Adipic acid
(4) Saccharic acid
56. The correct order of electron density in the
benzene ring in the following compounds :
OH
OC H2 5
(1) I > II > III > IV
(2) II > IV > I > III
(3) IV > III > II > I
(4) I > III > IV > II
54.
OHEt/ONaEt
/4SO2H [X]
mRikn [X] gS :
(1) (2)
(3) (4)
55. fuEu esa ls dkSulk vEy ,d foVkfeu gS\
(1) ,LikfVZd vEy
(2) ,LdkWfcZd vEy
(3) ,fMfid vEy
(4) lsdsfjd vEy
56. fuEufyf[kr ;kSfxdksa esa csUthu oy; ds bysDVªkWu
?kuRo dk lgh Øe dkSulk gS \
OH
OC H2 5
(1) I > II > III > IV
(2) II > IV > I > III
(3) IV > III > II > I
(4) I > III > IV > II

Corp. Reg. /Office: CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005
Website : www.resonance.ac.in | E-mail : [email protected] CSET101JPAIOT1MAIN231218-28
Toll Free : 1800 258 5555 | CIN: U80302RJ2007PLC024029
Space for Rough Work / (dPps dk;Z ds fy, LFkku )
57. Which of the following is not aromatic cation?
(1)
(2)
(3)
(4)
58.
Na metal
excess
In the above reaction find out the number of
moles of the gases formed in the both
reactions respectively ?
H2(g) SO
2(g) CO
2(g) NO
2(g)
(1) 1.5 1 1 0
(2) 3 1 1 1
(3) 1.5 0 3 0
(4) 1.5 0 2 0
57. fuEu esa ls dkSulk ,sjkseSfVd /kuk;u ugha gS\
(1)
(2)
(3)
(4)
58.
Na /kkrq
vkf/kD;
tyh; NaHCO3
vkf/kD;
mijksDr vfHkfØ;k ds lUnHkZ esa] nksuksa vfHkfØ;kvksa esa
cuus okys xSlh; mRiknksa dh eksy la[;k Øe'k% gS \
H2(g) SO
2(g) CO
2(g) NO
2(g)
(1) 1.5 1 1 0
(2) 3 1 1 1
(3) 1.5 0 3 0
(4) 1.5 0 2 0

Corp. Reg. /Office: CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005
Website : www.resonance.ac.in | E-mail : [email protected] CSET101JPAIOT1MAIN231218-29
Toll Free : 1800 258 5555 | CIN: U80302RJ2007PLC024029
Space for Rough Work / (dPps dk;Z ds fy, LFkku )
59. The end product of following reaction is :
(1) (2)
(3) (4)
60. The most probable product of the following
sequence of reactions would be :
1
PCC ‘Y’
(1)
(2)
(3)
(4)
59. fuEu vfHkfØ;k dk vfUre mRikn gS &
NaOH ( )
(2)
tyh; ty vi?kVu
(1) (2)
(3) (4)
60. fuEufyf[kr vfHkfØ;k vuqØe dk lokZf/kd izkf;drk
mRikn dkSulk gS\
1
PCC Y’
(1)
(2)
(3)
(4)

Corp. / Reg. Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005 Website : www.resonance.ac.in | E-mail : [email protected]
MSET101JPAIOT1MAIN231218-30 Toll Free : 1800 258 5555 | CIN: U80302RJ2007PLC024029
Space for Rough Work / (dPps dk;Z ds fy, LFkku )
PART – C Straight Objective Type
This section contains 30 multiple choice questions.Each question has 4 choices (1), (2), (3) and (4) for its answer, out of which ONLY ONE is correct.
61. The equation of plane containing z-axis and
passing through the point (1, 2, 3) is
(1) x = 2y – z
(2) 2x = y
(3) 9x + 6y – 7z = 0
(4) x + 2y – z = 0
62. The value of 1 2
2–1
x – 1x 1 dx + 2
1
0
1– x1 x dx is
equal to
(1) –2
(2) –1
(3) 2
(4) 0
63. If A =
2 1 –10 1 40 0 3
, then tr(adj (adj A)) is equal
to
(1) 18
(2) 24
(3) 36
(4) 48
Hkkx – C lh/ks oLrqfu"B izdkj
bl [k.M esa 30 cgq&fodYih iz'u gSaA izR;sd iz'u ds
4 fodYi (1), (2), (3) rFkk (4) gSa] ftuesa ls flQZ ,d lgh gSA
61. z-v{k dks j[kus okys rFkk fcUnq (1, 2, 3) ls xqtjus
okys lery dk lehdj.k gS&
(1) x = 2y – z
(2) 2x = y
(3) 9x + 6y – 7z = 0
(4) x + 2y – z = 0
62. 1 2
2–1
x – 1x 1 dx + 2
1
0
1– x1 x dx dk eku cjkcj gS&
(1) –2
(2) –1
(3) 2
(4) 0
63. ;fn A =
2 1 –10 1 40 0 3
, rc tr(adj (adj A)) cjkcj
gS&
(1) 18
(2) 24
(3) 36
(4) 48

Corp. / Reg. Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005 Website : www.resonance.ac.in | E-mail : [email protected]
MSET101JPAIOT1MAIN231218-31 Toll Free : 1800 258 5555 | CIN: U80302RJ2007PLC024029
Space for Rough Work / (dPps dk;Z ds fy, LFkku )
64. Let w1 and w2 be the set of words which can be formed using all the letters of the words "SHREYANSH" and "SANIDHYA" respectively. A set is randomly selected and a word is selected from it. If the probability that it contains two alike letters together is
pq
, p, q N then the least value of (q – 3p)
is (1) 4
(2) 3 (3) 5 (4) 7
65. Let a
, b
, c
be vectors represent three co-terminous edges of a tetrahedron such
that a
b
= b c
= c
a
= 3
and
4(a
. a
) + 3(b
. b
) + 2(c
.c
) = 144. If V is the volume of the tetrahedron, then the maximum value of V is
(1) 4 (2) 6 (3) 8 (4) 10
66. Let Sn = n0
n1
+ n1
n2
+ ………
..… + nn –1
nn
, where n N. If n 1
n
SS
=154
then the sum of all possible values of 'n' is (1) 4
(2) 6 (3) 8 (4) 10
64. ekuk w1 rFkk w2 mu 'kCnksa dk leqPp; gS tks 'kCnksa
"SHREYANSH" rFkk "SANIDHYA" ds lHkh
v{kjksa dh lgk;rk ls cuk;k tk ldrk gSA ,d
leqPp; ;kn`fPNd pquk tkrk gS rFkk blls ,d
'kCn dks ;knfPNd pquk tkrk gSA ;fn blds nks]
,d leku v{kjksa ds lkFk j[kus dh izkf;drk pq
,
p, q N gS] rc (q – 3p) dk U;wure eku gS&
(1) 4 (2) 3 (3) 5 (4) 7
65. ekuk a
, b
, c
rhu lfn'k ,d prq"Qyd ds rhu
layXu dksj dks O;Dr djrs gS tcfd
a
b
= b c
= c
a
= 3
rFkk
4( a
.a
) + 3(b
. b
) + 2(c
. c
) = 144. ;fn V prq"Qyd dk vk;ru gS] rc V dk
vf/kdre eku gS& (1) 4
(2) 6 (3) 8 (4) 10
66. ekuk Sn = n0
n1
+ n1
n2
+ ……
……+ nn –1
nn
, tgk¡ n N. ;fn n 1
n
SS
=154
,
rc n ds lHkh laHkkfor ekuksa dk ;ksxQy gS&
(1) 4 (2) 6 (3) 8 (4) 10

Corp. / Reg. Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005 Website : www.resonance.ac.in | E-mail : [email protected]
MSET101JPAIOT1MAIN231218-32 Toll Free : 1800 258 5555 | CIN: U80302RJ2007PLC024029
Space for Rough Work / (dPps dk;Z ds fy, LFkku )
67. Let p(x) be a real polynomial of least degree
which has a local maximum at x = 2 and a
local minimum at x = 4. If p(2) = 8, p(4) = 1,
then p(0) is
(1) 1685
(2) 42
(3) 43
(4) 45
68. Let f and g be two real valued differentiable
functions on R If f(x) = g(x) and g'(x) = f(x)
x R and f(3) = 5, f (3) = 4, then the value
of (f2() – g2()) is equal to
(1) 3
(2) 5
(3) 7
(4) 9
69. For each m R, the line y = (m – 1)x + n + 2
always. passes through a fixed point P. If the
ordinate of P is 3, then the value of 'n' is
(1) 1
(2) 2
(3) 3
(4) 4
67. ekuk fd p(x) U;wure ?kkr dk og okLrfod cgqin
(real polynomial) gS ftldk ,d LFkkuh; mPpre
(local maximum) x = 2 ij gS vkSj ,d LFkkuh;
U;wure (local minimum) x = 4 ij gSA ;fn p(2) = 8
vkSj p(4) = 1 gS rc p(0) dk eku gS&
(1) 1685
(2) 42
(3) 43
(4) 45
68. ekuk f vkSj g nks okLrfod vodyuh; Qyu] R ij
ifjHkkf"kr gSA ;fn f(x) = g(x) vkSj g'(x) = f(x)
x R rFkk f(3) = 5, f (3) = 4 gS] rc
(f2() – g2()) dk eku cjkcj gS&
(1) 3
(2) 5
(3) 7
(4) 9
69. izR;sd m R ds fy, js[kk y = (m – 1)x + n + 2
lnSo ,d fLFkj fcUnq P ls xqtjrh gSA ;fn P dh
dksfV 3 gS] rc n dk eku gS&
(1) 1
(2) 2
(3) 3
(4) 4

Corp. / Reg. Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005 Website : www.resonance.ac.in | E-mail : [email protected]
MSET101JPAIOT1MAIN231218-33 Toll Free : 1800 258 5555 | CIN: U80302RJ2007PLC024029
Space for Rough Work / (dPps dk;Z ds fy, LFkku )
70. The absolute value of
/ 2sinx
0/ 2
cos x
0
(x cos x 1)e dx
(x sin x 1)e dx
is
equal to
(1) e
(2) e
(3) e2
(4) e
71. The number of possible arrangements of
letters of the word REVISION such that there
are exactly two vowels between E and V is
(1) 4320
(2) 480
(3) 600
(4) 720
72. –x 0lim
2
–1 –12
| x |1– x2 tan x – cos1 x
equal to
(1) –1
(2) 1
(3) 14
(4) –14
70.
/ 2sinx
0/ 2
cos x
0
(x cos x 1)e dx
(x sin x 1)e dx
dk fujis{k eku gS&
(1) e
(2) e
(3) e2
(4) e
71. 'kCn REVISION ds v{kjksa ds mu lHkh laHkkfor
foU;klkas dh la[;k] ftueas E vkSj V ds e/; Bhd nks
Loj gks] gS&
(1) 4320
(2) 480
(3) 600
(4) 720
72. –x 0lim
2
–1 –12
| x |1– x2 tan x – cos1 x
cjkcj gS&
(1) –1
(2) 1
(3) 14
(4) –14

Corp. / Reg. Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005 Website : www.resonance.ac.in | E-mail : [email protected]
MSET101JPAIOT1MAIN231218-34 Toll Free : 1800 258 5555 | CIN: U80302RJ2007PLC024029
Space for Rough Work / (dPps dk;Z ds fy, LFkku )
73. If 4a2 + 9b2 + 16c2 = 2(3ab + 6bc + 4ca),then
a, b, c are in (where a, b, c R – {0})
(1) A.P.
(2) G.P.
(3) H.P.
(4) A.G.P.
74. If the variance of the data 2, 4, 5, 6, 8, 17 is
23.33, then variance of 5, 11, 14, 17, 23, 50 is
(1) 46.66
(2) 93.32
(3) 209.97
(4) 213.97
75. Equation of line in the plane x + 3y – z = 9,
which is perpendicular to the line
r
= i + j + k + (2 i + j – k ) and passing
through a point where the plane P meets the
given line, is
(1) x – 3
2 =
y – 21
= z5
(2) x – 3–2
= y – 2
–1 =
z5
(3) x – 3–5
= y – 2
1 =
z5
(4) x – 3
1 =
y – 25
= z2
73. ;fn 4a2 + 9b2 + 16c2 = 2(3ab + 6bc + 4ca), rc
a, b, c esa gksxsa& (tgk¡ a, b, c R – {0})
(1) A.P.
(2) G.P.
(3) H.P.
(4) A.G.P.
74. ;fn 2, 4, 5, 6, 8, 17 dk izlj.k 23.33 gS] rc
5, 11, 14, 17, 23, 50 dk izlj.k gS&
(1) 46.66
(2) 93.32
(3) 209.97
(4) 213.97
75. lery x + 3y – z = 9 esa ml js[kk dk lehdj.k] tks
js[kk r
= i + j + k + (2 i + j – k) ds yEcor~ gS
rFkk ml fcUnq ls xqtjrh gS tgk¡ lery
P, nh xbZ js[kk dks feyrk gS] gS&
(1) x – 3
2 =
y – 21
= z5
(2) x – 3–2
= y – 2
–1 =
z5
(3) x – 3–5
= y – 2
1 =
z5
(4) x – 3
1 =
y – 25
= z2

Corp. / Reg. Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005 Website : www.resonance.ac.in | E-mail : [email protected]
MSET101JPAIOT1MAIN231218-35 Toll Free : 1800 258 5555 | CIN: U80302RJ2007PLC024029
Space for Rough Work / (dPps dk;Z ds fy, LFkku )
76. Let f(x) is continuous function and f(x) exists
everywhere. If f(2) = 10 and f '(x) –3 for all,
then the least possible value of f(4) is
(1) 1
(2) 2
(3) 3
(4) 4
77. If the range of values of 'a' for which
the function f : R R defined by
f(x) = 2sin 2x – 3cos2x – (a2 + a – 7) x + 5,
a R is strictly increasing is [p, q], where
p, q , then |p + q| is equal to
(1) 0
(2) 2
(3) 1
(4) 3
78. The area bounded by curve
f(x) = cos–1
]x[sin–2
sin and x-axis
from x = 0 and x = 2 is (where [x] and {x}
denotes greatest integer function and
fractional part function)
(1) sq.unit
(2) 2 sq. unit
(3) 3 sq.unit
(4) 2
sq.unit
76. ekukfd f(x) lrr Qyu gS rFkk loZ=k f (x) fo|eku
gSA ;fn f(2) = 10 vkSj f '(x) –3 lHkh x ds fy,]
rc f(4) dk U;wure laHkkfor eku gS&
(1) 1
(2) 2
(3) 3
(4) 4
77. ;fn a ds ekuksa dk ifjlj ftuds fy, Qyu
f : R R tgk¡
f(x) = 2sin 2x –3cos2x – (a2 + a – 7) x + 5, a R,
fujUrj o/kZeku Qyu] vUrjky [p, q] gS tgk¡
p, q rc |p + q| cjkcj gS&
(1) 0
(2) 2
(3) 1
(4) 3
78. oØ f(x) = cos–1
]x[sin–
2sin rFkk x-v{k]
x = 0 vkSj x = 2 ls ifjc) {ks=kQy gS (tgk¡ [x]
egÙke iw.kk±d Qyu gS rFkk {x} fHkUukRed Hkkx Qyu
dks O;Dr djrk gS&)
(1) oxZ bdkbZ
(2) 2 oxZ bdkbZ
(3) 3 oxZ bdkbZ
(4) 2
oxZ bdkbZ

Corp. / Reg. Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005 Website : www.resonance.ac.in | E-mail : [email protected]
MSET101JPAIOT1MAIN231218-36 Toll Free : 1800 258 5555 | CIN: U80302RJ2007PLC024029
Space for Rough Work / (dPps dk;Z ds fy, LFkku )
79. If z lies on the curve arg(z + i) = 4
, then the
minimum value of |z + 4 – 3i| + |z – 4 + 3i| is
(1) 5
(2) 10
(3) 15
(4) 20
80. Let ABC be an acute angled triangle such
that a = 14, sin B = 1312 and c, a, b (in the
order) form an A.P., then the in-radius of
triangle ABC is
(1) 5
(2) 3
(3) 4
(4) 6
81. If , are roots of x2 – 2px + q = 0 and ,
are roots of x2 – 2rx + s = 0 where , , , ,
are in arithmetic progression, then s – q =
(1) r2 – p2
(2) r2 + p2
(3) p2 – r2
(4) pr – p2
79. ;fn z, oØ arg(z + i) = 4
ij fLFkr gS] rc
|z + 4 – 3i| + |z – 4 + 3i| dk U;wure eku gS&
(1) 5
(2) 10
(3) 15
(4) 20
80. ekuk ABC U;wudks.k f=kHkqt bl izdkj gS fd
a =14, sin B = 1312
rFkk c, a, b (Øe esa gS) lekUrj
Js<h cukrs gS] rc f=kHkqt ABC dh vUr%f=kT;k gS&
(1) 5
(2) 3
(3) 4
(4) 6
81. ;fn , lehdj.k x2 – 2px + q = 0 ds ewy gS
rFkk , lehdj.k x2 – 2rx + s = 0 ds ewy gS]
tgk¡ , , , , lekUrj Js<h esa gS] rc s – q =
(1) r2 – p2
(2) r2 + p2
(3) p2 – r2
(4) pr – p2

Corp. / Reg. Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005 Website : www.resonance.ac.in | E-mail : [email protected]
MSET101JPAIOT1MAIN231218-37 Toll Free : 1800 258 5555 | CIN: U80302RJ2007PLC024029
Space for Rough Work / (dPps dk;Z ds fy, LFkku )
82. A tangent to the circle x2 + y2 = 4 intersects
the hyperbola x2 – 2y2 = 2 at P and Q. If locus
of mid point of PQ is (x2 – 2y2)2 = (x2 + 4y2),
then equal to
(1) 2
(2) 4
(3) 6
(4) 8
83. An ellipse with major axis 8 and minor axis 6
is drawn such that lines x – 3y + 2 = 0 and
3x + y – 4 = 0 are tangents to it, then locus of
its centre is
(1) x2 + y2 – 2x – 2y – 25 = 0
(2) x2 + y2 – 4x – 4y – 23 = 0
(3) x2 + y2 – 2x – 2y – 23 = 0
(4) x2 + y2 – 4x – 4y – 25 = 0
84. If (x + y3) dxdy = y and y(0) = 2, then sum of all
possible value(s) of y(1) is
(1) –4
(2) 4
(3) 0
(4) 2
82. oÙk x2 + y2 = 4 dh Li'kZ js[kk] vfrijoy;
x2 – 2y2 = 2 dks P vkSj Q ij feyrh gSA ;fn PQ
ds e/; fcUnq dk fcUnqiFk (x2 – 2y2)2 = (x2 + 4y2)
gS] rc cjkcj gS&
(1) 2
(2) 4
(3) 6
(4) 8
83. ,d nh?kZoÙk ftldh nh?kZv{k 8 rFkk y?kqv{k 6 gS]
bl izdkj cuk;k tkrk gS fd js[kk,a x – 3y + 2 = 0
rFkk 3x + y – 4 = 0 bl ij Li'kZ js[kk,a gS blds
dsUnz dk fcUnqiFk gS&
(1) x2 + y2 – 2x – 2y – 25 = 0
(2) x2 + y2 – 4x – 4y – 23 = 0
(3) x2 + y2 – 2x – 2y – 23 = 0
(4) x2 + y2 – 4x – 4y – 25 = 0
84. ;fn (x + y3) dxdy = y vkSj y(0) = 2, rc y(1) ds
lHkh laHkkfor ekuksa dk ;ksxQy gS&
(1) –4
(2) 4
(3) 0
(4) 2

Corp. / Reg. Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005 Website : www.resonance.ac.in | E-mail : [email protected]
MSET101JPAIOT1MAIN231218-38 Toll Free : 1800 258 5555 | CIN: U80302RJ2007PLC024029
Space for Rough Work / (dPps dk;Z ds fy, LFkku )
85. ekuk A vkSj B nks Lora=k ?kVuk,a bl izdkj gS fd
P(A) =31 vkSj P(B) =
41
. ekuk fd fuEu dFku gS&
() P(A B) = 21 () P(A B ) =
61
() P
BAA =
52 (V) P( BA ) =
21
fuEu esa ls dkSulk fodYi lgh gS ?
(1) (),(),()
(2) (),()
(3) (),()
(4) mijksDr lHkh
86. ekuk f : R R bl izdkj gS fd
f(x) = x3 + 2x2 + 4x + sin
2x rFkk g(x), f(x)
dk izfrykse Qyu gS] rc g(8) dk eku cjkcj gS&
(1) 21
(2) 9
(3) 111
(4) 11
87. rhu oÙkksa
x2 + y2 – 2x + 3y – 7 = 0, x2 + y2 + 5x – 5y + 9 = 0
,oa x2 + y2 + 7x – 9y + 29 = 0 dks yEcdks.kh;
dkVus okys oÙk dk lehdj.k gS–
(1) x2 + y2 – 16x – 18y – 4 = 0 (2) x2 + y2 – 7x + 11y + 6 = 0
(3) x2 + y2 + 2x – 8y + 9 = 0 (4) x2 + y2 + 16x – 18y – 4 = 0
85. Let A and B are two independent events such
that P(A) = 31 and P(B) =
41
. Let consider
the statement
() P(A B) = 21 () P(A B ) =
61
() P
BAA =
52 (V) P( BA ) =
21
Which of the following option is correct ? (1) (),(),()
(2) (),() (3) (),() (4) all
86. Let f : R R be defined as
f(x) = x3 + 2x2 + 4x + sin
2x and g(x) be
the inverse function of f(x), then g(8) is equal to
(1) 21
(2) 9
(3) 111
(4) 11 87. Equation of the circle cutting orthogonally
the three circles x2 + y2 – 2x + 3y – 7 = 0, x2 + y2 + 5x – 5y + 9 = 0 and x2 + y2 + 7x – 9y + 29 = 0 is
(1) x2 + y2 – 16x – 18y – 4 = 0 (2) x2 + y2 – 7x + 11y + 6 = 0
(3) x2 + y2 + 2x – 8y + 9 = 0 (4) x2 + y2 + 16x – 18y – 4 = 0

Corp. / Reg. Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005 Website : www.resonance.ac.in | E-mail : [email protected]
MSET101JPAIOT1MAIN231218-39 Toll Free : 1800 258 5555 | CIN: U80302RJ2007PLC024029
Space for Rough Work / (dPps dk;Z ds fy, LFkku )
88. ekukfd fuEu dFku gS&
p : vki lQy gksuk pkgrs gSA
q : vkidks ,d jkg izkIr gksxh
rc ~(p q) dk udkjkRed dFku gS&
(1) vki lQy gksuk pkgrs gS rFkk vki ,d jkg
izkIr djrs gSA
(2) vki lQy gksuk pkgrs gS rFkk vki ,d jkg
izkIr ugha djrs gSA
(3) ;fn vki lQy gksuk pkgrs gS rc vki ,d
jkg izkIr ugha dj ldrs gSA
(4) ;fn vki lQy gksuk ugha pkgrs gS rc vki ,d
jkg izkIr djrs gSA
89. okLrfod la[;kvksa ds leqPp; esa ,d lEcU/k R bl
izdkj ifjHkkf"kr gS fd x R y tc |x| + |y| 1 rc
lEcU/k R gS&
(1) LorqY; vkSj lefer ijUrq laØked ugha
(2) lefer ijUrq u rks laØked vkSj u gh LorqY;
(3) laØked ijUrq u rks lefer vkSj u gh LorqY;
(4) LorqY;] lefer vkSj laØked esa ls dksbZ ugha
90. p ds iw.kk±d ekuksa dh la[;k gksxh ftlds fy,
lehdj.k 99cos3 – 20sin3 = 20p + 35 dk
,d gy gS&
(1) 8
(2) 9
(3) 10
(4) 11
88. Consider the following statements
p : you want to success
q : you will find a way,
then the negation of ~(p q) is
(1) you want of success and you find a way
(2) you want of success and you do not find
a way
(3) If you want of success then you cannot
find a way
(4) If you do not want to succeed then you
will find a way
89. In a set of real numbers a relation R is
defined as x R y such that |x| + |y| 1 then
relation R is
(1) reflexive and symmetric but not transitive
(2) symmetric but not transitive and reflexive
(3) transitive but not symmetric and reflexive
(4) none of reflexive, symmetric and transitive
90. The number of integral values of p for which
the equation 99cos3 – 20sin3 = 20p + 35
will have a solution is
(1) 8
(2) 9
(3) 10
(4) 11

IIMMPPOORRTTAANNTT IINNSSTTRRUUCCTTIIOONNSS // eeggÙÙooiiww..kk ZZ ffuunnss ZZ''kk A. General % A. lkekU; : 1. Immediately fill the particulars on this page of the Test
Booklet with Blue / Black Ball Point Pen. Use of pencil is strictly prohibited.
1. ijh{kk iqfLrdk ds bl i"B ij vko';d fooj.k uhys@dkys ckWy
IokbaV isu ls rRdky HkjsaA isfUly dk iz;ksx fcYdqy oftZr gSA
2. The Answer Sheet is kept inside this Test Booklet. When you are directed to open the Test Booklet, take out the Answer Sheet and fill in the particulars carefully.
2. mÙkj i=k bl ijh{kk iqfLrdk ds vUnj j[kk gSA tc vkidks ijh{kk
iqfLrdk [kksyus dks dgk tk, rks mÙkj i=k fudky dj lko/kkuhiwoZd
fooj.k HkjsaA
3. The Test Booklet consists of 90 questions. The maximum marks are 360.
3. bl ijh{kk iqfLrdk esa 90 iz'u gSA vf/kdre vad 360 gSA
4. There are three parts in the question paper A, B, C consisting of Physics, Chemistry and Mathematics having 30 questions in each part of equal weightage. Each question is allotted 4 (four) marks for correct response.
4. bl ijh{kk iqfLrdk es rhu Hkkx A, B, C gSA ftlds izR;sd Hkkx esa
HkkSfrd foKku] jlk;u foKku ,oa xf.kr ds 30 iz'u gS vkSj lHkh
iz'uksa ds vad leku gSA izR;sd iz'u ds lgh mÙkj ds fy, 4¼pkj½ vad fu/kkZfjr fd;s x;s gSA
5. Candidates will be awarded marks as stated above in Instructions No. 4 for correct response of each question. 1/3 [one third (–1)] marks will be deducted for indicating incorrect response of each question. No deduction from the total score will be made if no response is indicated for an item in the answer sheet.
5. vH;kfFkZ;ksa dks izR;sd lgh mÙkj ds fy, mijksDr funsZ'ku la[;k 4 ds
funsZ'kkuqlkj vad fn;s tk,axsA izR;sd iz'u ds xyr mÙkj ds fy;s
1/3oka Hkkx (–1) dkV fy;k tk;sxkA ;fn mÙkj iqfLrdk esa fdlh
iz'u dk mÙkj ugha fn;k x;k gks] rks dqy izkIrkad ls dksbZ dVkSrh ugha
fd tk;sxhA
6. There is only one correct response for each question. Filling up more than one response in any question will be treated as wrong response and marks for wrong response will be deducted accordingly as per instructions 5 above.
6. çR;sd iz'u dk dsoy ,d gh lgh mÙkj gSA ,d ls vf/kd mÙkj nsus
ij mls xyr mÙkj ekuk tk;sxk vkSj mijksDr funsZ'k 5 ds vuqlkj
vad dkV fy;s tk;saxsA
B. Filling the Top-half of the ORS : Use only Black ball point pen only for filling the ORS. 7. Write your Roll no. in the boxes given at the top left corner of
your ORS with black ball point pen. Also, darken the corresponding bubbles with Black ball point pen only. Also fill your roll no. on the back side of your ORS in the space provided (if the ORS is both side printed).
B. vksvkj,l (ORS) ds Åijh&vk/ks fgLls dk Hkjko : ORS dks Hkjus ds fy, dsoy dkys ck¡y iSu dk mi;ksx dhft,A
7. ORS ds lcls Åij cka;s dksus esa fn, x, ck¡Dl esa viuk jksy uEcj
dkys ck¡y ikbUV ls fyf[k, rFkk laxr xksys Hkh dsoy dkys isu ls
Hkfj;sA ORS ds ihNs dh rjQ Hkh viuk jksy uEcj fyf[k, (;fn ORS nksuksa rjQ Nih gqbZ gSA)
8. Fill your Paper Code as mentioned on the Test Paper and darken the corresponding bubble with Black ball point pen.
8. ORS ij viuk isij dksM fyf[k, rFkk laxr xksyksa dks dkys ck¡y isu
ls dkys dhft,A 9. If student does not fill his/her roll no. and paper code
correctly and properly, then his/her marks will not be displayed and 5 marks will be deducted from the total.
9. ;fn fo|kFkhZ viuk jksy uEcj rFkk isij dksM lgh vkSj mfpr rjhds
ls ugha Hkjrk gS rc mldk ifj.kke jksd fy;k tkosxk rFkk izkIrkad esa
ls 5 vad dkV fy, tkosaxsaA 10. Since it is not possible to erase and correct pen filled bubble,
you are advised to be extremely careful while darken the bubble corresponding to your answer.
10. pawfd isu ls Hkjs x, xksys feVkuk vkSj lq/kkjuk laHko ugha gS blfy,
vki lko/kkuh iwoZd vius mÙkj ds xksyksa dks HkjsaA
11. Neither try to erase / rub / scratch the option nor make the Cross (X) mark on the option once filled. Do not scribble, smudge, cut, tear, or wrinkle the ORS. Do not put any stray marks or whitener anywhere on the ORS.
11. fodYi dks u feVk,a@u Ldzsp djsa vkSj u gh xyr (X) fpUg dks HkjsaA
ORS dks u dkVs u gh QkMs u gh xUnk ugha djsa rFkk dksbZ Hkh
fu'kku ;k lQsnh ORS ij ugha yxk,aA 12. If there is any discrepancy between the written data and the
bubbled data in your ORS, the bubbled data will be taken as final. 12. ;fn ORS esa fdlh izdkj dh fy[ks x, vkadMksa rFkk xksys fd, vkadMksa esa
fojks/kkHkkl gS] rks xksys fd, vkadMksa dks gh lgh ekuk tkosxkA
Resonance Eduventures Ltd. CORPORATE / REG. OFFICE : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) - 324005
Ph.No. : 07446607777, (0744) 3012100, 3012222, 6635555 | Toll Free : 1800 258 5555 | FAX No. : +91-022-39167222 | 80034 44888 Website : www.resonance.ac.in | E-mail : [email protected] | CIN: U80302RJ2007PLC024029
AALLLL IINNDDIIAA OOPPEENN TTEESSTT--11 ((AAIIOOTT--11)) ((JJEEEE MMAAIINN PPAATTTTEERRNN)) CCOOUURRSSEE :: AALLLL IINNDDIIAA TTEESSTT SSEERRIIEESS ((VVIIKKAALLPP)) || CCLLAASSSS -- XXIIII//XXIIIIII
DDAATTEE :: 2233--1122--22001188 SSEETT -- 1
Name of the Candidate (ijh{kkFkhZ dk uke) :
I have read all the instructions and shall abide by them eSaus lHkh funsZ'kksa dks i<+ fy;k gS vkSj eSa mudk
vo'; ikyu d:¡xk@d:¡xhA
...................................... Signature of the Candidate
ijh{kkFkhZ ds gLrk{kj
Roll Number (jksy uEcj) :
I have verified all the information filled by the candidate. ijh{kkFkhZ }kjk Hkjh xbZ lkjh tkudkjh dks eSusa
tk¡p fy;k gSA
...................................... Signature of the Invigilator
ijh{kd ds gLrk{kj
P02-18