1. Class : XII (Nucleus)
Time : 3 hour Max. Marks : 180
INSTRUCTIONS
1. The question papercontainpages and 3-parts. Part-Acontains 18 objective question , Part-Bcontains 6
questions of"MatchtheColumn" typeand Part-Ccontains12 subjectivetypequestions.Allquestions are
compulsory. 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.
PART-A
(i) Q.1 to Q.18 have One or More than one is / are correct alternative(s) and carry 4 marks each.
There is NEGATIVE marking. 1 mark will be deducted for eachwrong answer.
PART-B
(iii) Q.1 to Q.6 are"Match the Column" typewhich mayhave oneor more than onematching options and
carry8 marks foreach question. 2 marks will be awarded for each correct match within a question.
There is NEGATIVE marking. 0.5 mark will be deducted for each wrong answer.
PART-C
(iv) Q.1 to Q.12 are "Subjective" questions & carry5 marks.There is NO NEGATIVE marking.Marks
will be awardedonlyif all thecorrect bubbles are filled in your OMR sheet.
2. Indicate the correctanswer for each question byfillingappropriate bubble(s) inyour answer sheet.
3. Use onlyHB pencil fordarkeningthe bubble(s).
4. Use ofCalculator, LogTable, SlideRule and Mobile is not allowed.
5. Theanswer(s)ofthequestionsmustbemarked byshadingthecirclesagainst thequestionbydarkHBpencil
only.
PART TEST-2
PART-B
For example if Correct
match for (A) is P, Q; for
(B) is P, R; for (C) is P
and for (D) is S then the
correct method for filling
thebubbleis
P Q R S
(A)
(B)
(C)
(D)
PART-C
Ensure that all columns
(4 before decimal and 2
after decimal) are filled.
Answer having blank
column willbe treated as
incorrect. Insert leading
zero(s) if required after
rounding the result to 2
decimalplaces.
e.g. 86 should befilled as
0086.00
.
.
.
.
.
.
.
.
.
.
PART-A
For example if only 'B'
choice is correct then,
the correct method for
fillingthebubbleis
A B C D
Forexampleifonly'B&
D' choices are correct
then, the correct method
forfillingthebubblesis
A B C D
The answer of the
question in any other
manner (such as putting
, cross , or partial
shading etc.) will be
treated as wrong.

2. PART - A
Select the correct alternative(s) (choose one or more than one)
Q.1 Auniformlychargedthinnonconductingshellofradius RischargedwithQunitsofcharge.Theescape
velocityof aparticle of charge –qand mass m from surfaceof conductor is
(A)
R
4
Qq
0


(B)
mR
2
Qq
0


(C)
mR
Qq
0

(D)
mR
4
Qq
0


Q.2 Atesttubeoflengthlisimmersedinverticallyintoavesselcontainingmercuryof
density(m).Itis immersedinsuchawayso thatits closedendjust touches the
mercurylevel.Mercurywasfoundtorisetoaheightxinthetubeasshown.The
pressureatAis (HereAtmospheric pressure is equal to l length of mercury):
(A) (l – x) mg (B)xmg
(C) (2l – x) mg (D) (l – 2x) mg
Q.3 Anadiabatic containeris dividedintotwoequal parts, withanidealgas atpressurePand temperatureT
at oneside and vacuum onthe other side. Onmaking a hole in the separating wall
(A) work done bygas will be nRT
(B)changeininternal energyofgas will bezero
(C) internal energydepends on temperature of gas
(D) work done bygas is zero
Q.4 Figure shows a network of capacitors and resistances.
Potentials ofsomeof thepoints are given. Then
(A) potential at M = 2.6 V
(B) Potential at N = –1.6 V
(C) Charge across 2f capacitor is 8.4 C
(D) Charge across 2f capacitor is 4.2 C

3. Q.5 As aliquidof densityflows throughthe tubeshownbelow in astreamlines way
(A) volume rate of flow reduces from a1 to a2
(B) volume rate of flow increases from a1 to a2
(C) h is a measure of pressure difference atAand B
(D) pressure atAhas to be more than that at B byhg
Q.6 Twolargeblackplanesurfaces aremaintained at constant temperatureT1 &T2
(T1 >T2) & placed in vacuume. Two thin black plates are placed between the
twosurfacesandisparalleltothese.Aftersometimesteadyconditionareobtained.
By what factor () is the steady heat flow reduced due to presence of black
plates?
(A)  =
2
1
(B)  =
3
1
(C)  = 1 (D)  = 0

4. Q.7
CompoundB has aneutralisation equivalent 112'G'is adichloro alkane.
(A) A = , B = , C = , E = ; F =
& G = ClCH2CH2CH2CH2Cl
(B) A = , B = , C = , E =
& G = ClCH2CH2CH2CH2CH2Cl
(C) A = , B = , C = , E = , F =
& G = ClCH2CH2CH2CH2CH2Cl
(D) A = , B = , C = ;
E = ; F = & G = ClCH2CH2CH2CH2CH2Cl

5. Q.8 IdentifyA,B, C, D, E & F in thefollowing reactions
(A)A= , B = , D = , E = , F = & G =
(B) A = , B = , D = , E = ,
F = & G =

6. (C) A = , B = , D = , E = , F = & G =
(D) Both B & C is possible
Q.9 Select the correct statement(s)
If S = f (E, V, n1, n2) &A= f (T, V, n1, n2)
(A) S is equal to f (E, V, n1, n2) (B) S is equal to f (E, V, n1, n2)
(C) Ais equal to f (T, V, n1, n2) (D) Ais equal to f (E, V, n1, n2)
Q.10 Whichofthefollowingstatement(s)is/arecorrect
(A) GaCl2 is actually 





4
III
I
Cl
Ga
Ga
(B)Metallocenesare inorganicbenzene
(C) Cyclo Phosphazene (P3N3Cl6) is inorganic analogueofbenzene
(D) B6H6
2– is a closo borane with octahedral structure
Q.11 Identifythecorrect statement(s)
(A) BF3 is a stronger Lewis acid than BCl3
(B) Ga melts at ~300C andits densitydecreases when it solidifies.
(C)Unusuallyhighmeltingpoint ofboronis duetoitsstructure
(D) Borazine is more reactive towards HCl than benzene due to weak B = N bond.

7. Q.12 In the titration of CH3COOH, with NaOH, the difference in number of NaOH molecules added and
CH3COO– presentat equilibrium at pH = 7.5 per litreof titratingmixture is equal to
(A)
10
1
×6.023×1016 (B)
10
9
× 6.023 ×1016(C) zero (D)
10
10
99
× NA
Q.13 From the point P(4, 5), two chords PAand PB of length 2 units each are drawn to the circle
x2
+ y2
= 41. Then equation of chordAB is
(A) x + y = 2 (B) 4x + 5y = 39 (C) x – 5y = 37 (D) none
Q.14 If 


 














n
1
k
2
n n
3
2
n
k
3
Lim = 
b
0
dx
)
x
(
f then
(A) b = 1 (B) f (x) = (9x2 + 2)
(C) 


 














n
1
k
2
n n
3
2
n
k
3
Lim = 15 (D) 


 














n
1
k
2
n n
3
2
n
k
3
Lim = 5
Q.15 Considerthe following4statements.Whichofthefollowingstatement(s)is/arefalse
(A) There exist no plane containing the point (1, 0, 0) ; (0, 1, 0) ; (0, 0, 1) and (1, 1, 1)
(B) If a plane with normal vector N

is perpendicular to a vector V

then V
·
N


= 0
(C) Iftwoplanes areperpendicularthen everylinein oneplaneis perpendiculartoeverylineon the
other plane.
(D) Let P1 and P2 are two perpendicular planes. If a third plane P3 is perpendicular to P1 then it
might be parallel or perpendicular or at an angle of 45° to P2.

8. Q.16 Whichofthefollowingstatementsconcerningthefunction
f (x) =





3
x
if
,
4
3
x
if
,
6
x
x
15
x
10
x
5
2
2






are correct
(A) f (x) is continuous for all x  – 2
(B) f (x)is always decreasing
(C) f (x) has no vertical asymptotes
(D) f (x) has one horizontal asymptote.
Q.17 If C0, C1, C2, ....................Cn are binomial coefficients then


n
Lt





























 
 0
2
2
1
3
2
)
1
...(
..........
..........
3
2
3
2
C
C
c
C
n
n
n
n
n is
(A) 0 (B) 1 (C) –1 (D) 2
Q.18 If 4a2
+ b2
+2c2
+ 4ab – 6ac – 3bc = 0, then the family of lines ax + by + c = 0 is concurrent at one or
the other of the two points whose co-ordinates are
(A) 







2
1
,
1 or (–2, –1) (B) (–1, –1) or 







2
1
,
2
(C) (–2, 2) or 





1
,
2
1
(D) (1, 2) or 





1
,
2
1
‘

9. PART - B
MATCH THE COLUMN
INSTRUCTIONS:
Column-Iand column-IIcontainsfour entries each. Entries ofcolumn-Iareto bematchedwith some
entriesofcolumn-II.Oneormorethanoneentriesofcolumn-Imayhavethematchingwiththesameentries
ofcolumn-IIandoneentryofcolumn-Imayhaveoneormorethanonematchingwithentriesofcolumn-II.
Q.1 In thecircuit shown in figure, thereare threeidentical capacitor C1,C2,
C3 each having capacitance 'C'. The switch 'S' is kept closed to point–1
for long time, then at timet = 0 switch'S' is shifted to position–2 from
position–1
ColumnI Column II
(A) Final charge on capacitor C1 (P)
2
CV
3
2
(B) Work done byBatteryhaving emf V2 = V (Q)
2
CV
3
4
(C) Final charge on capacitor C2 (R) CV
3
2
(D)Amount ofheat produced inthe circuit after (S)
3
CV
shifting the switch 'S' from (1) to (2)

10. Q.2 Match the following. (Here gas is ideal, P = pressure, V = volume,  = ratio of molar specific heat at
constant pressure&constant volume)
ColumnI ColumnII
(A)AdiabaticBulkmodulus ofgas (P) –
V
P
(B)Slope ofP–V graph inisothermal (Q) 1
2


process
(C) Degreeof freedom (R) P
(D) Molar heat capacityat constant pressure (S) 1



divided by R
Q.3 Matchthefollowing
ColumnI ColumnII
(A) Canaryyellowprecipitate with (NH4)2MoO4 (P) NO3
–
(B) Brownringtest (Q) NO2
–
(C)Acidradical whichevolves gas with conc. HCl (R) AsO4
3–
(D)Acidradical whichgives gas withdil. H2SO4 (S) PO4
3–

11. Q.4 Matchthefollowing
List I List II
(A) CO2is evolved from (P)
NaHCO3 bythe reaction of
(B)Compoundsgives yellowoily (Q)
liquid on reaction with NaNO2 + HCl
(C)Compoundswhich on reaction (R)
with
gives para red dye.
(D)Compoundwhichhavemaximum% (S)
of enol form

12. Q.5 Column–I Column–II
(A) If as manymore words as possible be formed (P) 201
out of letters of the word “POTATO” then the no.
of words inwhich the relative order of vowels &
consonentremainunchangedis
(B) Numberofpositiveintegralsolutionssatisfyingthe
equation (x1 + x2 + x3) (y1 + y2) = 77, is (Q) 420
(C) LetAbe the set of four digit numbers a1a2a3a4
where a1 > a2 > a3 > a4 then n(A) (R) 8
(D) Theno.ofdissimilartermsintheexapnsion
of the
100
2
2
1
1








x
x is (S) 210

13. Q.6 Column–I Column–II
(A) If the line )
k̂
2
j
ˆ
î
(
k̂
3
j
ˆ
î
2
r 







(P) 3
makes angles , ,  with xy, yz and zx planes
respectivelythen sin2 + sin2 + sin2 is
(B) If !
20
!
0
1
+ !
18
!
2
1
+ !
16
!
4
1
+ .................. (Q) 1
...... !
2
!
18
1
+
!
20
1
=
!
2
b
a
then (b – a) =
(C) Theequalsides ofanisoscelestrianglewith fixed (R) 0
base 'b' are decreasing at the rate of 3cm/sec. The
rate at which its area is decreasingwhen the two
equal sides are equal to the base, is a
b where a is
(D) The fractional part of
15
2 n
4
is
15
K
where K is (S) 2

14. PART - C
Q.1 Asampleofmonoatomicidealgasoccupies5.00Latatmosphericpressure
and temperature 300 K (pointA). It is heated at constant volume to 3.00
atm (point B)then it is allowedto expand isothermallyto 1.00 atm (point
C) and at last compressed isobaricallyto its original state. If the gas is
monoatomicthencalculatethetotal amountofheat(injoules)giventothe
gas during whole cycle. (Here R = 8.30 Joule/mole0K; Patm = 105Pa;
1L = 10–3 m3; ln3 = 1.1)

15. Q.2 Inthecircuit shown in figureswitch 'S'is closedforlongtime, then at time
t = 0 it is again opened. Find the charge on capacitor (in C) at time t = 6s
(here e–1 = 0.37)

16. Q.3 ArodoflengthL=1mwiththermallyinsulatedlateralsurfacehasuniformcross-section.Thecoefficient
ofthermalconductivityofthematerialoftherod varieswithtemperatureas K 
T
1
.Theendsoftherod
are maintained at temperature T1 = 200C & T2 = 800C. Find the temperature (in0C) at the mid point of
rod.

17. Q.4 Fiveidentical largeconductingplates each ofareaAareplaced parallel
to each other at separation 'd'. Plates 1 & 3 are connected by thin
conductingwire&plate2&5areconnectedbyanotherthinconducting
wire.Thejunctionof plate1&3and plate-4areconnectedbyabattery
having emf'V'(as showninfigure). The system is in steadystate. Now
Plate-1ismovedupwardslowlysothatitcomeincontactwithPlate2.
Calculatethe amount ofwork done (in J) bybatteryduringmotion of
plate-1. (Here
d
A
0

= 20F, V = 10 volts)

18. Q.5 Whenzincis refined byelectrolysis,the desired half-reaction atthe cathode is
Zn2+(aq) + 2e–  Zn(s)
Acompetingreaction,whichlowers theyield,is theformation ofhydrogen gas :
2H+(aq) + 2e–  H2(g)
If 91.26%of the current flowingresults in zinc beingdeposited, while 8.74% produces hydrogen gas,
how manyliters of H2, measuredat STP, form perkilogram of zinc? [Zn = 64]

19. Q.6 Agaseous compound'A' reacts bythreeindependentfirst order processes
(as shown in figure) with rate constant 2×10–3, 3 × 10–3 and 1.93 × 10–3
sec–1 respectivelyforproducts B, CandD respectively. Ifinitiallypure'A'
wastakeninaclosedcontainerwithP=2.079atm,findthepartialpressure
of 'B'(inatm) after 100 sec from start of experiment.

20. Q.7 Calculatetheemfoffollowingcell
Ag(s) |AgBr(s)| KBr (0.002 M) ||Ag2CrO4(saturated solution) |Ag (s)
Ksp (Ag2CrO4) = 4 × 10–12
Ksp (AgBr) = 2 × 10–13






 059
.
0
F
RT
303
.
2
(log 2 = 0.3)

21. Q.8 AnNH4
+ –NH3 bufferis supposedtokeepthepHofthesolutionconstant duringthefollowingreaction
withinthesafelimit.
CH3COOCH3(aq) + 2H2O (l)  CH3COO–(aq) + H3O+(aq) + CH3OH(aq)
Ifthisbuffersolutionhadtheseinitialconditions,
[CH3COOCH3]o = 0.020 M,
[NH4
+]o = 0.100 M
[NH3]o = 0.06 M
What wouldbethedifferenceininitial pH&final pHafterthecompletionofreaction.
(pKb of NH3 = 4.74; log 2 = 0.3, log3 = 0.48)

22. Q.9 If the function f(x) = 2x3 - 9ax2 + 12a2x +1, where a >0, attains its maximum and minimum at p and q
respectivelysuch that p2 = q, then a equals

23. Q.10 y= f (x) is a parabola, having it's axis parallel to y-axis. If the line y= x touches this parabola at x = 1,
then f '' (1) + f ' (0) is

24. Q.11 The largestrealvalueforxsuchthat   3
8
!
k
x
!
k
4
5
4
0
k
k
k
4





















isofthe formof r
q
p  thenthevalueof
p2 + q2 + r2 is

25. Q.12 If the value of definite integral 

a
1
]
x
[log
dx
a
·
x a
where a > 1, and [x] denotes the greatest integer, is
2
1
e 
then the value of [a] equals where [ ] mean GIF