Class : XII (Nucleus)
Time : 3 hour Max. Marks : 300
INSTRUCTIONS
1. The questionpaper contains TWO PARTS. PART -A (Only one alternative correct) contains 60 questions
& each carry3 Marks. PART - B (One or more alternative correct) contains 24 questions &each carry
5 Marks. All of themare compulsory. There is NEGATIVE marking. 1 mark willbe deducted for each
wronganswer.
Please ensure that the Question Paper you have received contains all the QUESTIONS and
Pages. If you found some mistake like missing questions or pages then contact immediately to the
Invigilator.
2. Indicate the correct answer for each questionbyfilling appropriate bubble inyour answer sheet.
3. Use onlyHB pencilfor darkening the bubble.
4. Use ofCalculator, Log Table, Slide Rule and Mobile is not allowed.
5. Theanswerofthequestionsmustbemarkedbyshadingthecirclesagainst thequestionbydarkHBpencilonly.
6. The answer(s) ofthe questions must be marked byshading the circles against the questionbydark HB
pencilonly.
For example ifonly'B' choice is correct then, thecorrect method for filling the bubble is
A B C D
the wrong method for filling thebubble are
(i) A B C D
(ii) A B C D
(iii) A B C D
The answer ofthe questions inwrong or anyother manner willbe treated as wrong.
USEFUL DATA
Atomic weights:Al = 27, Mg = 24, Cu = 63.5, Mn = 55, Cl= 35.5, O = 16, H = 1, P= 31, Ag = 108, N = 14,
Li = 7, I = 127, Cr = 52, K=39, S = 32, Na = 23, C = 12, Br = 80, Fe = 56, Ca = 40, Zn = 65.4,
Radius of nucleus =10–14 m; h = 6.626 ×10–34 Js; me = 9.1 ×10–31 kg, R = 109637 cm–1
PART TEST-1
O B J EC T I V E

ROUGH WORK
Seelct the correct alternative. Choose only one.
Q.1 If y =
cos cos cos
cos cos cos
6 6 4 15 2 10
5 5 3 10
x x x
x x x
  
 
, then
dy
dx
=
(A) 2 sinx + cosx (B) –2sinx (C) cos2x (D)sin2x
Q.2 If
d x
dy
dy
dx
2
2
3





 +
d y
dx
2
2 = K then the value of K is equal to
(A) 1 (B) –1 (C) 2 (D) 0
Q.3 If y = at2 + 2bt + c and t = ax2 + 2bx + c, then
d y
dx
3
3 equals
(A) 24 a2 (at + b) (B) 24 a (ax + b)2 (C) 24 a (at + b)2 (D) 24 a2 (ax + b)
Q.4 If (y2
– 5y+ 3) (x2
+ x + 1) < 2x for all x  R, then the interval in which ylies is
(A) 






 

2
5
5
,
2
5
5
(B) (–, –2] (C) 







3
2
,
2 (D) (1, 4)
Q.5 If x, y, z are inA.P., ax, by, cz are in G.P. and a, b, c are in H.P. then
(A)
x
y
y
x
 =
a
c
c
a
 (B)
a
c
c
a
x
z
z
x


 (C)
b
c
c
b
x
z
z
x


 (D) noneofthese
Q.6 If a + b + c = 3 and a > 0, b > 0, c > 0, then the greatest value of a2
b3
c2
is
(A) 7
4
10
7
2
·
3
(B) 7
4
9
7
2
·
3
(C) 7
4
8
7
2
·
3
(D) noneofthese

ROUGH WORK
Q.7 The generalvalue ofx satisfying the equation 2cot2
x+ 2 3 cotx + 4cosecx + 8 = 0 is
(A) n –
6

(B) n +
6

(C) 2n –
6

(D) 2n +
6

Q.8 Iff(x)satisfies the equation
 
15
6
5
5
4
5
)
1
(
)
2
)(
1
(
)
4
(
)
3
( 2






 x
x
x
f
x
f
x
f
= 0
for allrealx, then
(A) f(x) is not periodic (B) f(x) isperiodic withperiod 7
(C) f(x) is periodic with period 1 (D) f(x) is anodd function
Q.9 Ifxi = aibici where i= 1, 2, 3 are three digit positive numbers suchthat each xi is a multiple of19, then
for some integer n, A =
3
2
1
3
2
1
3
2
1
c
c
c
b
b
b
a
a
a
is ofthe form of
(A) 19n (B) 19n + 1 (C) 19n + 2 (D) 19n + 3
Q.10 The derivate oftan–1
x
x


1
1
w.r.t. sin–1 x is
(A) 1 (B)
2
1
(C) –
2
1
(D) none

ROUGH WORK
Q.11 If y = (1 – x)– e–x x  1 then
(A) (1– x) y + (1–x)y – y = 0 (B) (1– x) y – (1+x)y – y = 0
(C) (1– x) y + (1+x)y – y = 0 (D) (1– x) y + (1+ x)y + y = 0
Q.12 Iff(x) =[n+ psinx] 0 < x<, where nis integer &pis prime, [ ] denotesGIF thenno. ofpoints at which
the functionis nondifferetiable
(A) 2p – 1 (B) p – 1 (C) p (D) 2p + 1
Q.13 Let f(x) is defined in [–2, 2] by
 
  2
0
1
,
4
min
0
2
1
,
4
max
)
(
2
2
2
2











x
x
x
x
x
x
x
f Thenf(x) is
(A) Continuity&differentiabilityat allpoints
(B) disc at 1 point &non differentiabilityat more than 1 point
(C) nondifferentiabilityat more than1 point &continuityat allpoints
(D) none
Q.14 Let f(x) is
2
1
sin101








x
x
where [x] denotes step up function then f(x) is
(A) both odd as well as even (B) neither odd nor even
(C) odd function (D) evenfunction
Q.15 Let  and  be the roots of function f(x) = x3 + x2 – 5x – 1 = 0. Then [] + [] + [], where [ ]
denotes GIF =
(A) 1 (B) –2 (C) –3 (D) 4

ROUGH WORK
Q.16 The summation ofnon real roots of the equation x4 + 3x3 – 2x2 + 3x + 1 = 0 is
(A) 1 (B) – 1 (C) 0 (D) – 3
Q.17 The valueofthe determinant
cos( ) cos( ) cos( )
sin( ) sin( ) sin( )
sin( ) sin( ) sin( )
x A x B x C
x A x B x C
B C C A A B
  
  
  
is
(A) –[sin2(A– B) + sin2(B – C) + sin2(C –A) ] (B) sin2(A+B) + sin2 (B+C) + sin2 (C+A)
(C) O (D) None
Q.18 If every solution of the equation 3 cos2x – cos x – 1 = 0 is a solution of the equation
a cos22x + bcos2x – 1 = 0. Then the value of (a + b) is equal to
(A) 5 (B) 9 (C) 13 (D) 14
Q.19
n
n n
n
n
Lim


















1
sin
1

where   Q
(A) 1 (B) – (C) e1– (D) e1+
Q.20 Iff (x) = cosec–1(cosecx)and cosec(cosec–1x) are equalfunctions thenmaximumrange ofvaluesofxis
(A) 




 










2
,
1
1
,
2
(B) 




 






 

2
,
0
0
,
2
(C)    




 ,
1
1
, (D)    
1
,
0
0
,
1 


ROUGH WORK
Q21. Amixture gives three precipitates X, Y, and Z when NH4OH is added in presence ofNH4Cl. For the
separationofthesefollowing scheme is followed.
Filtrate P, Q, and R are respectively.
(A)Al(OH)3, Fe(OH)3, Cr(OH)3 (B) Fe(OH)3,Al(OH)3, Cr(OH)3
(C) Al(OH)3, Na2CrO4, Fe(OH)3 (D) NaAlO2, Na2CrO4, FeCl3
Q22. What volume of 0.2M Ba(MnO4)2 solutionis required for complete oxidation of 25g of89.6% pure
FeCr2O4 in acidic medium. (Given Fe = 56, Cr = 52, Ba = 137, Mn = 55, O = 16)
(A) 400 ml (B) 200 ml (C) 350 ml (D) None ofthese
Q23. Consider the reaction
Whichofthefollowing is true forYand Z.
(A) Y is CF2 = CCl2 and Z is
OEt
CCl
CF
|
2
3  (B) Y is CF3-CHCl2 and Z is CF2 = CCl2
(C) Y is CF3 – CDCl2 and Z is CF2 = CCl2 (D) Y is CF2 = CCl2 and Z is CF3 – CDCl2

ROUGH WORK
Q24. Column I (Species) Column(II) (Hybridisation)
(I) PCl5 (P) sp2
(II) BrF5 (Q) sp3
(III) NO2
– (R) sp3d2
(IV) SO3
2– (S) sp3d
Choose the correct alternative.
I II III IV I II III IV
(A) P S R Q (B) R S Q P
(C) R S P Q (D) S R P Q
Q25. Which ofthe following statement is correct about O2, O2
+, O2
– and O2
2–
(A) Bond order ofO2 is greater than O2
+ whereas less than O2
– and O2
2– and both are paramagnetic.
(B) Bond order of O2
2– is less than that of O2
+ whereas greater than that of O2 and O2
– and O2
2– is
diamagnetic and O2, O2
+ and O2
– are paramagnetic.
(C) Bond order ofO2
+ is greater than that ofO2, O2
– and O2
2–, except O2
2– whichis diamagnetic, all
other are paramagnetic.
(D) None ofthese
Q26. The magnitic moment oftwo ions Mx+ and My+ ofanelement M (Z = 26) is foundto be 5.916 B. M. If
x> ythenwhich ofthe following statement is correct
(A) My+ is more stable than Mx+ (B) Mx+ is more stable than My+
(C) Bothare equallystable (D) None ofthese
Q27. Consider thefollowing molecules.
(I) (II) (III) (IV) PBr3Cl2
(A)  = 0 for I, II and III only (B)  = 0 for II and III only
(C)  = 0 for II, III and IV only (D)  = 0 for allthe four.
.

ROUGH WORK
Q28. Whichofthefollowing statements is correct
(A) Powerfulnucleophile increases the rate ofSN2 however it decreases the rate ofSN1 reaction.
(B) InEimechanismeliminationaccordingto saytzeff.
(C) Rate ofsolvolysis of is more then that of
(D) None is correct
Q29.





 

O
H
II
NaHCO
aq
I
3
3
)
(
)
( A 

 
  O
H
Br 2
2 B (white ppt. of B)
Compound 'B' is
(A) (B) (C) (D)

ROUGH WORK
Q30. 


 
  3
2 HNO
HNO A 


 
 O
H
KOH 2
/ B 

 
  O
H
Br 2
2 C 


 
 DMF
SOCl /
2 D
H
O
H
NaOH
2

 
 G
MeI
II
NaH
I
)
(
)
(


 
 F 


 
 O
CO
CF 2
3 )
( E
H is usedfor the preparation of"Antileuckemiadrug" H is
(A) (B)
(C) (D)

ROUGH WORK
Q31. 
 
PhLi
C9H11N 
 
PhLi X
'X' can be
(A) (B)
(C) (D)
Q32.
ne
diazometha
N
CH


 



2
2
X + Y
Y
Both X andYare functionalisomers. Both X &Yare
(A) & (B) &
(C) & (D) &

ROUGH WORK
Q33. Anidealgasissubjectedto thechangeaccording to thegivencurve, showing thedependenceofpressure
on absolutetemperature for constant moles. When the gas is being heated
(A) compressiontakes place
(B) expansiontakes place
(C) can't say
(D) neither compressionnor expansion
Q34. Inthe followingseries ofelectronicallysaturatedand isoelectric ions, the observedX–O bond distances
have beendetermined:
Ion X–O Bond length(Å)
SiO4
4– 1.63
PO4
3– 1.54
SO4
2– 1.49
ClO4
– 1.46
The order of p–d bond character
(A) SiO4
4– > PO4
3– > SO4
2– > ClO4
–
(B) SiO4
4– > ClO4
– > SO4
4– > PO4
3–
(C) ClO4
– > SO4
2– > PO4
3– > SiO4
4–
(D) ClO4
– > PO4
3– > SO4
2– > SiO4
2–
For Question No. 35 - 36
For two gasesA& B, Pv/sV isothermare drawn at TKas shown. TA
&TB
are criticaltemperatures of
Aand B respectively.
Q35. Whichofthefollowing is TRUE?
(A) TA
< T < TB
(B) TA
> T > TB
(C) TA
> TB
> T
(D) None ofthe above

ROUGH WORK
Q36. The correct statement(s) is (are)
(I) Pressure correctiontermwillbe more negligible for gas Bat T K.
(II) The curve for gas B willbe of same shape as for gasAifT > TB
(III) gasAwill show same Pv/s V curve as ofgas 'B' ifT > TA
(A) III only (B) II and III (C) II only (D)all
Q37. The correct order ofatomic orbitals in terms ofenergybetween 8s and 8p orbitalare
(A) 7d, 6f (B) 5g, 6f, 7d (C) 6d, 7f (D) 4h, 5g, 6f, 7d
Q38. The bond lengthofthe S–O bond is maximumin which ofthe following compound.
SOBr2, SOCl2, SOF2
(A) SOCl2 (B) SOBr2 (C) SOF2 (D)Allhave same length
Q.39 For reversible system X(g) Y(g) + Z(g), a quantity of X was heated at constant pressure P at a
certain temperature. Theequilibriumpartialpressure ofX was found to beP/7. What is the value ofKp
at giventemperature
(A) 6P/7 (B) 9P/7 (C) 36P/7 (D) 6P
Q.40 Whichofthe following graphscorrectlyrepresents the variationof = V
dP
dV
T
/






 withPfor anideal
gas at constant temperature
(A) (B) (C) (D)

ROUGH WORK
Q.41 Atube oflength L isfilled completelywithanincompressible liquid ofmassM and closed at bothends.
The tube isthenrotated ina horizontalplane about one ofits endswitha uniformangular velocity.The
force exerted bythe liquid at the other end is:
(A) ML2/2 (B) ML2 (C) ML2/4 (D) ML22/2
Q.42 Ablock ofmass 15kg isresting ona roughinclinedplane as showninthe figure.
The block is tied up bya horizontalstring whichhas a tension of50 N. The
friction force betweenthe surfaces ofcontact is (g = 10m/s2)
(A) 2
50 N (B) 2
100 N (C) 50 N (D) noneofthese
Q.43 Asimple pendulumconsists ofa smallwoodenbobofmassm andlight string oflengthl.Abullet ofmass
m1 is firedhorizontallytowards the pendulumwitha speed v1 . Thebullet emerges out ofthebob witha
speed v1/3 and the bob just completes motion along a verticalcircle. Then v1 is :
(A) gl
m
m
5
1








(B) gl
m
m
5
2
3
1








(C) gl
m
m
5
3
2 1






(D) gl
m
m





 1
Q.44 Particles P and Q ofmasses 20 gmand 40 gmrespectivelyare projected from
the positions Aand B on the ground. The initial velocities of P and Q make
angles of450 and 1350 respectivelywiththe horizontalas showninthe figure.
Each particle has an initial speed of49 m/sec. The separationAB is 245 m.
Both particles travelin the same verticalplane and undergo acollision.After the collisionPretraces its
path. The position ofQ fromAwhen it hitsthe ground is:
(A) 245m (B)
3
245
m (C)
2
245
m (D)
2
245
m

ROUGH WORK
Q.45 Auniformrodofmass M islying inthe stateofrest onaroughhorizontalplane.
The rod being rotated in vertical plane very slowly by the help of a variable
force F always perpendicular to the lengthofthe rod such that rod can rotate
about the point O without anyangular acceleration. The maximumvalue of
static frictionforce acting at the point O isequalto
(A) Mg (B)
2
Mg
(C)
4
Mg
(D) none
Q.46 Asoliduniformsphere is rollingwithout slipping onafrictionless surface,
showninfigure with a translationalvelocityvm/s. Ifit is to climb on the
inclined surface thenv should be:
(A) > gh
7
10
(B) > gh
2 (C) 2gh (D)
7
10
gh
For Problem 47 to 49
Aboat ofmass M sails with velocityv0 iˆ.At t = 0, its engine stops, and at the same time a ballofmass
m(m< < M) is thrown from the boat with initial velocityu ĵ . Here x - direction is horizontaland yis
vertically up. The water exerts a friction drag force proportional to the boat's velocity (v), so that
i
Kv
F ˆ



, where Kis positive constant. The acceleration ofthe boat canbe written as:
i
M
Kv
a ˆ



or i
M
Kv
dt
dv ˆ



 i
Ce
v M
Kt ˆ
/




ROUGH WORK
Where C isa constant emerging dueto integrating. Now assumethat ballis observedfromthe reference
frameofboat (X'Y'). The originofthisreference framecoincidedwiththestaticframe (XY)at t =0. The
accelerationoftheballinthe referenceframe ofboat canbewritten as j
a
i
a
a y
x
ˆ
'
ˆ
'
' 


and inthe static
frame it canbe written as j
a
i
a
a y
x
ˆ
ˆ 


.
Q.47 The value ofconstant C is
(A) v0/2 (B) v0 (C) v0(M/m) (D) v0 (m/M)
Q.48 Values ofax and ax' respectivelyare:
(A) ax = 0; ax' =
 
M
Kt
e
M
Kv /
0 
(B) ax = 0; ax' =
 
M
Kt
e
M
Kv /
0 

(C) ax = ax' =
 
M
Kt
e
M
Kv /
0 
 (D) ax = 0; ax' =
 
M
Kt
e
M
Kv /
0 

Q.49 The horizontalcomponent ofball's velocityas seenfromthe boat willbe:
(A) v0e–Kt/M (B) v0 (C) v0eKt/M (D) v0(1 – e–Kt/M)
Q.50 Aconcave anda convexlens havingthe focallengthof20 cm&10cmrespectivelyand areput inmutual
contact to formlens combination. Thecombinationis usedto see anobject 5cmhighkept at 20 cmfrom
the lens combination.As compared to the object, the image willbe
(A) realmagnified and inverted (B) real, smaller and errect
(C) virtual, smaller and errect (D) noneofthese
Q.51 Whenthe plane surface ofplano-convex lensis silvered, the lens behaves like a concavemirror offocal
length30cm, but whentheconvexsurface is silvered, it behaves like aconcave mirror offocallength10
cm. Therefractive index ofmaterialoflens is
(A)
3
4
(B) 2 (C)
2
3
(D) 1.5

ROUGH WORK
Q.52 One face of a prism of refractive angle 300 and ref. index 2 is silvered. At
what angle(i)must arayoflight fallonthe unsilveredfacesothat after refraction
into the prismand reflectionat the silvered surface it retraces its path
(A) 300 (B) 450 (C) 600 (D) none
Q.53 The distance between an object and screen is d. Aconvex lens of focallength f is placed between the
object and the screen. Ifmis the transverse magnificationofimage then
(A) f =
 2
1 m
md

(B) f =
2
1 m
m
d
 (C) f =
m
md

1
(D) f =
 
m
m
2
1
d
Q.54 Ablock of 4 kg is placed on a plank having mass 8 kg. Aforce F = 20 N is
applied on plank. Then find the frictionforce between 4 kg block and plank.
Here coefficient offriction between 4 kg & 8 kg is  = 0.4 (g = 10m/s2)
(A)
3
10
N (B) 16 N (C)
3
20
N (D)zero
Q.55 The diagramshows a thinuniformsemicircular disc ofmass M and radius R.
What is the moment ofinertia ofdisc about an axis in the plane ofdisc
(showninfigure)
(A)
3
MR2
(B)
4
MR2
(C) MR2 (D) none
Q56. Adisk rollswithout sliding ona horizontalsurface. Iftherelative velocitybetween
the pair of point A1B1, A2B2 andA3B3 are V1, V2 and V3 respectively then
(A) V1 = V2 = V3 (B) V1 > V2 > V3
(C) V1 < V2 < V3 (D) Data's are insufficient to decide

ROUGH WORK
Q57. Aparticle is projected towards a fixed wallfrompointA(at a distance 'x' fromthe
wall) and collides elastically. IfR = horizontalrange inabsence ofwallthentotaltime
offlight willbe minimumif
(A) x = R/2 (B) x= R/ 2 (C) x = 2 R (D) independent ofx
Q58. Two ends ofa helicaluniformspring offorce constant K and mass M are
projected withvelocityV initsnaturalstate (as shownin figure). The
maximumextensioninspring willbe
(A)V
K
m
(B) V
K
m
3
(C)
K
m
2
(D) V
K
m
6
Q59. A particle P with a mass 2.0 kg has position vector r = 3.0 m and velocity = 4.0 m/s as shown. It
is accelerated bythe force F= 2.0 N.Allthree vectors lie ina common plane. The angular momentum
vector about origin O is
(A) 12 kgm2
/s out of the plane ofthe figure
(B) 12 kg m2
/s into the plane of the figure
(C) zero
(D) 24 kgm2
/s out of the plane ofthe figure
Q60. A small bead of mass m moving with velocity v gets threaded on a
stationarysemicircular ring of mass mand radius R kept on a smooth
horizontaltable. The ring can freelyrotate about its centre. The bead
comes to rest relative to the ring. What will be the final angular
velocity ofthe system?
(A) v/R (B) 2v/R (C) v/2R (D) 3v/R

ROUGH WORK
More than one alternative(s)
Q.1 Whichofthefollowing statements are correct?
(A) IfAis a nonsingular matrix of order n then |adjA| = |A|n
(B) IfAis a nonsingular matrix oforder n then
2
)
1
(
|
|
|
)
(
| 
 n
A
A
adj
adj
(C) adj (KA) = Kn - 1 (adj A)
(D) maximumno. ofdistinct entries ina symmetric matrixoforder nis
2
)
1
( 
n
n
.
Q.2 If x satisfies log2x + logx2 = 4, then log2x can be equalto
(A) tan
12

(B) cot
12

(C) tan
8

(D) cot
8

Q.3 Value of the expression log1/2(sin6° · sin 42° · sin45° · sin 66°· sin 78°)
(A) lies between 4 and 5 (B) is rationalwhichis not integral
(C) isirrationalwhich is a simple surd (D) is irrationalwhichis amixed surd.
Q.4 In a triangleABC, altitude fromits vertex meet the opposite sides in D, E and F. Thenthe perimeter of
the triangleDEF, is
(A) 2
R
4
abc
(B)
R
2
(C)
r
)
c
b
a
(
R 

(D)
R
rs
2
where  is the area ofthetriangleABC and allother symbols have their usualmeaning.
Q.5 Let x1, x2 are the roots ofthe quadratic equation x2 + ax+ b = 0 where a and bare complex quantities
and | x1 | = | x2 | = 1. If y1 and y2 are the roots of the quadratic equation y2 + | a |y + | b | = 0 then
(A) y1y2 = 1 (B) | a |  2
(C) | y1 + y2 |  2 (D) | y1 | and | y2 | are reciprocal of each other

ROUGH WORK
Q.6 Which ofthefollowing statements are correct
(A) If y = xn (acos(lnx) + bsin(lnx)) and x2D2y + (1 – 2n)x Dy + Ky = 0 then the value of K is 1 + n2
(B) Let f(x) = cot–1 (x2 + 4x +2 – ) be a function defined R  




 
2
,
0 then complete set ofvalues
of  for which f(x) is onto is
2
17
1
.
(C) Iff(x) =
x
x
x
|
|
log ]
1
[  where [ ] denotes step up function thenrange offis singleton
(D) The range ofthe function f(x) = tan–1
x
x


1
1
– tan–1x consists ofone element
Q.7 The realsolution ofthe equation    2
2
2
2
5
1
2
2
x
x
x



 is
(A) Naturalnumberbut not prime
(B) Compositenaturalnumber
(C) Rationalnumber
(D) Integer
Q.8 Iff(x) =
   
   
 
n
n
n
n
n
n
n x
x
x
x
b
x
a
x
Limit 


 




1
tan
sec
1
sin
sin
is continuous at x= 1 thenwhich ofthefollowing relations
are incorrect
(A) a + b = 0 (B) a – b = 0 (C) a + b = 1 (D) a + b = –1

ROUGH WORK
Q9. In which ofthe following case configurationabout chiralC* is retained :
(A) 
 
NaH X 
 
 Br
CH3 Y
(B) 
 
 2
SOCl X 

 



Na
MeO Y
(C) 
 
 3
PCl X 

 



Na
MeO Y
(D) 


 


MeOH
H /
Q10.  

 X A
A





 

O
H
by
followed
MgBr
CH
eq
3
3
.
1
[X] willbe
(A) + H + (B) Ph–CH2–Br
(C) HCN (D)

ROUGH WORK
Q11. In a mass spectrometry experiment, various ions H+, Li+, O2+ & 
3
N were projected with a same
velocityintoa same magneticfieldzone (allignedperpendicular to the directionofvelocity). Thesheet on
whichtheyare striking is pierced at certain points(marked as H1, H2 etc.) as showninthe diagram.It is
known that H+ comes back to zone-I from H2 when projected from H1. Mark out the correct
options.
(A) Out ofallremaining ions when projected fromH1, only 
3
N willcome back to zone-I.
(B) When allthe remaining ions were projected fromH2, onlyO2+ willcome back in zone-I.
(C) When allthe remaining ions were projected fromH3, none ofthe themwillcome back to zone-I.
(D) When allthe remaining ions wereprojected fromH4, none ofthe themwillcome back to zone-I.
Q12. In the following six electronic configuration (remaining inner orbitals are completelyfilled). Mark the
correct option(s).
C–I C–II
C–III C–IV
C–V C–VI
(A) Stability order : C–II > C–I & C–IV > C–III
(B) Order of spin multiplicity : C–IV > C–III = C–I > C–II
(C) C–V violates all the three rules of electronic configuration
(D) IfC–VI representsAthenA2+ whenkept near a magnet faces weak repulsions (actsas dimagnetic).

ROUGH WORK
Q13. Following represents the Maxwell distribution curve for an ideal gas at two temperatures T1 & T2.
Whichofthefollowing option(s) are true?
(A) Total area under the two curves is independent of moles of gas
(B) If dU1= f Umps1 & dU2 = f Umps2 then A1 = A2
(C) T1 > T2 and hence higher the temperature, sharper the curve.
(D) The fraction of molecules having speed = Umps decreases as temperature increases.
Q14. Whichofthefollowing statement(s) is(are) correct:
(A) The correct order ofreactivitytowards nitration is C6H6 = C6D6 = C6T6
(B) The correct order of C–O bond length in CO, CO2 and CO3
2– is CO < CO2 < CO3
2–
(C) The correct order of acidic strength is H3PO4 < H3PO3 < H3PO2
(D) noneofthese
Q15. An equilibrium mixture contains 4 moles of PCl5, 2 moles PCl3 and 2 moles of Cl2 at a particular
temperature. 4 moles of N2
is added in the equilibrium mixture. Which of the following are correct
regarding theabove equilibrium.
(A) The value ofKp
does not change on additionoffurther 4 moles ofN2
at constant pressure
(B) The equilibriumshift to forward directionwhentemperature is raised.
(C) There isno effect ofaddition offurther 8 moles ofN2
at equilibriumat constant volume.
(D) Whenthe pressure ofthe equilibriummixture is doubled, the degree ofdissociationis also doubled.

ROUGH WORK
Q16. Whichofthe following are incorrect statements
(A) KHF2
exist as K+
, H+
and F–
in aqueous solution.
(B) The correct order ofsolubilityofLithiumhalides is LiF> LiCl> LiBr > LiI
(C) The equivalent mass ofFe2
(S3
)3
, when it is converted to Fe2
O3
and SO4
2–
is
60
M
(where M is molar
mass of Fe2
(S3
)3
)
(D) noneofthese
Q17. Select the correct alternative(s). The power of a convex lens (R.I.  = 1.5)
(A) will decrease on immersing in water
(B) will increase on immersing in water
(C) is less for violet rays compared to red rays
(D) is +10 D if it forms the image ofan object placed at 12 cm, at a distance of 60 cmon the other
side.
Q18. The line PQ in the ray diagram represents a thin lens &AB is a principal
axis. Then lens is
(A) converging (B) diverging
(C) bi-concave (D) concavo-convex
Q19. A particle of mass 3 kg is moving under the action ofa centralforce whose potential energyis given
by U(r) = 10r3
Joule here r is in meter. If radius of orbit of particle r = 10 m then
(A) the energy of particle is 2.5 × 104
Joule
(B) The energy of particle is 0.5 × 104
Joule
(C)Angular momentum of particle about the centre is 3000 kg–m2
/s
(D)Angular momentum of particle about the centre is 1000 kg–m2
/s

ROUGH WORK
Q20. A bobbin of mass m and moment of inertia I relative to its own axis is being
pulled along a horizontalsurface bythe light string tightlywrapped as shown
in figure. There is no slipping on the surface throughout the motion
(A) The angular velocity of bobbin when string is pulled horizontally with velocity V is=
r
V
3
(B) The angular velocity of bobbin when string is pulled horizontally with velocity V is=
r
V
(C) If string is pulled by horizontal acceleration a. Then tension in string is T =
9
a






 2
4
r
I
m
(D) If string is pulled by horizontal acceleration a. Then tension in string is T =
2
2
2
a
m
r
I







Q21. Ahollow uniformsphericalballis giveninitialpushup aninclined ofinclination
angle . The balls rolls purely. The coefficient of static friction between the
ball and incline is . During its upwards journey
(A) friction acts up along the incline
(B) friction acts down along the incline
(C)  >
5
2
tan
(D)  >
7
2
tan 

ROUGH WORK
Q22. Uniformsquareplate is connected to two identicalverticalidealsprings (as
shown infigure) &systemisin equalibrium. Suddenlytheright spring is
removed, thenthenet accelerationofpointAimmediatelyafter removing
right springis
(A)
2
3
g (B)
2
g
(C)
8
5
g (D)
4
3
g
Q23. A smooth track in the form of a quarter circle of radius 6 m lies in the
vertical plane. Aparticle moves from P1 to P2 under the action of forces
2
1 F
,
F


and 3
F

. Force 1
F

is always toward P2 and is always 20 N in
magnitude. Force 2
F

always acts horizontally and is always 30 N in
magnitude.Force 3
F

alwaysactstangentiallytothetrackandisofmagnitude
15 N. Select the correct alternative(s)
(A) work done by 1
F

is 120 J (B) work done by 2
F

is 180 J
(C) work done by 3
F

is 45  (D) 1
F

is conservative in nature
Q.24 AuniformrodAB &lengthLis released fromrest inthe positionshown.
It swings down to verticalpositionand strikes a secondand identicalrod
CD is resting on frictionless surface. Ifimpact isprefectlyelastic then
velocityofrod CD immediatelyafter impact is
(A)
4
1
2gL (B) 3gL
2
1
(C) 4gL
3
1
(D) 2gL