12 02 2012 xiii vxy paper ii code a

7/30/2019 12 02 2012 Xiii Vxy Paper II Code A

1/15

Class: 13th (VXY) Date: 12/02/2012 Time: 3 Hours. Max. Marks: 243

VERY IMPORTANT

A. The question paper consists of 3 section (Section-1contains Chemistry , Section-2containsMathematicsand Section-3 containsPhysics ). Please fill the OMR answer Sheet accordingly and carefully.

B. Each Section contains (14 questions in Part-A, 1 question in Part-B and4 questions in Part-C) andtotal number of pages are 32.

C. Please ensure that the Question Paper you have received contains ALL THE QUESTIONS ineach Section and PAGES. If you found some mistake like missing questions or pages thencontact immediately to the Invigilator.

INSTRUCTIONS

PART-A

1. Q.1 to Q.8 are single correct type questions. Each question has four choices (A), (B), (C) and (D)out of which ONLY ONE is correct.For Q.1 to Q.4, you will be awarded 3 marks and for Q.5 to Q.8, you will be awarded 4 marksif you have darkened only the bubble corresponding to the correct answer and zero mark if no bubbleare darkened. In all other cases, minus one (1) markwill be awarded.

2. Q.9 to Q.11 are Paragraph type. Based upon the paragraph 3 single correct typequestions have to beanswered. Each of these questions has four choices (A), (B), (C) and (D) out of whichONLY ONE is correct.For each question, you will beawarded 3 marksif you have darkened only the bubble corresponding to the correctanswer andzero markif no bubble are darkened. In all other cases,minus one (1) markwill be awarded.

3. Q.12 to Q.14 are Paragraph type. Based upon the paragraph 3 multiple correct type questions have to beanswered. Each of these questions has four choices (A), (B), (C) and (D) out of which ONE OR MORE maybe correct. For each question, you will beawarded 4 marksif you have darkened only the bubble correspondingto the correct answer and zero mark if no bubble are darkened. No negative marks will be awarded in thissection.

PART-B

4. Q.1 isMatrix Match type question. Each question hasFourstatements (A, B, C, D) given in Column-Iand

Fivestatements (P, Q, R, S, T) given inColumn-II. Any given statement inColumn-Ican have correct matchingwith one or more statement(s) given inColumn-II. For example, if for a given question, statement B matches withthe statement given in Q and R, then for the particular question, against statement B darken the bubbles correspondingto Q and R in the OMR. For each row, you will be awarded 3 marks for each row in which you havedarkened the bubble(s) corresponding to the correct answer.

PART-C

5. Q.1 to Q.4 are Integer Type questions. The answer to each question is upto 4 digit ranging from

0 to 9999. The correct digit below the question number in the OMR is to be bubbled.

For each question, you will be awarded 5 marks if you darken the bubble corresponding to the correct

answer and zero mark if no bubble is darkened.For example, if for a given question, your answer is 25, then for the particular question, against question

number you must fill as 0025 in the OMR.No negative marks will be awarded in this section.6. Indicate the correct answer for each question by filling appropriate bubble in your answer sheet.

7. Use of Calculator, Log Table, Slide Rule and Mobile is not allowed.

8. The answers of the questions must be marked by shading the circle against the question by darkBlack Ball

point Pen only.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 = 65.5, Ti = 48,Ba = 137, U = 238, Co= 59, B =11, F = 19, He = 4, Ne = 20, Ar = 40 , Mo = 96[Take : ln 2 = 0.69, ln 3 = 1.09, e = 1.6 1019, m

e= 9.1 1031 kg, hc = 1240 eVnm, h = 6.6 1034 Js,

c = 3 108 m/s] Take g = 10 m/s2 unless otherwise stated

REVIEW TEST-7PAPER- II

CODEA


2/15

CHEMISTRY

XIII (VXY) RT-7 [Paper-II] Code-A Page # 2

PART-A

[SINGLE CORRECT CHOICE TYPE]

Q.1 to Q.4 has four choices (A), (B), (C), (D) out of which ONLY ONE is correct. [3 Marks]

Q.1 Find the work done in calorie when 65.5g Zn reacts with excess H2SO

4(aq) to form ZnSO

4& H

2in a

closed rigid vessel at 300 K.

(A)

600 (B) 0 (C)

1200 (D)

2494

Q.2 Borax bead test of salt (M) is performed, violet colour of the bead is obtained under oxidising flame.

What is the oxidation state of the cation present in salt (M)?

(A) +7 (B) + 4 (C) + 2 (D) can't be predicted.

[Only V-Group]

Q.3 Structures of alanine at pH = 2 and pH = 10 are respectively

(A) COOHCHNH

|CH

3

3

and

COOCHNH

|CH

2

3

(B) COOCHNH|CH

2

3

and COOHCHNH|CH

3

3

(C) COOHCHNH|

CH

2

3

both

(D) COOHCHNH|CH

3

3

both

[Only XY-Batch]

Q.3 Calculate the % of S-configuration in product, if 98% Racemisation takes place for given optically pure

compound.

ClH

OH2 ?

(A) 49% (B) 51% (C) 50% (D) 98%

[Only V-Group]

Q.4 Which one is not a good method to get Ph

Ph.(A) aq. PhCOOK

iselectrolys(B) PhI

Cu

(C) PhCl + 3AlCl (D) PhCl

THF

Na


3/15

CHEMISTRY


[Only XY-Batch]

Q.414

OMe

Br

3

2

NH.liq

NaNH Product.

Which of the following product(s) is / are not possible in above reaction?

(A)

NH2

14OMe

(B)

NH2

14OMe

(C)

NH214

OMe

(D)

NH2

14

OMe


Q.5 A sample of clay was partially dried and then contained 50% silica, 10% water and rest nonvolatile

impurities. The original clay contained 28% water. Find the % of silica in original sample.

(A) 40% (B) 42% (C) 47% (D) 50%

Q.6 Which of the following acid is not formed during the step wise hydrolysis of P4O

10?

(A) Tetrameta phosphoric acid (B) Hypophosphoric acid

(C) Pyrophosphoric acid (D) Tetra polyphosphoric acid

[Only V-Group]

Q.7 Phenol will be obtained in good yield in which one of the following reactions.

(A) PhCHMe2

H)ii(

h/O)i( 2 (B) PhCl KOH.aq

(C) PhMgBr OH2 (D) PhNH

2C50

HCl,NaNO2


4/15

CHEMISTRY


[Only XY-Batch]

Q.7 Select the correct product from the following

Me

OH

D

H

SOCl2

pyridine

PCl3

P1

P2

P1

& P2

are respectively.

(A)

Me Me

Cl Cl

D D

H H& (B)

MeMe

ClCl

DD

HH &

(C)

Me Me

Cl Cl

D D

H H& (D)

Me Me

Cl Cl

D D

H H&

Q.8 Van-Arkel method can be applied for the purification of :

(A) Boron (B) Zirconium (C) Titanium (D) All of these

[PARAGRAPH TYPE]

Q.9 to Q.11 has four choices (A), (B), (C), (D) out of which ONLY ONE is correct.

Paragraph for question nos. 9 to 11

Consider the cell,

Ag(s) | AgBr (s) | Br (aq) | | Cl (aq) | Hg2Cl

2(s) | Hg (l) | Pt (s)

Given : V28.0Eo Hg/ClHg/Cl 22 ; V8.0E

o

Ag/Ag

Ksp AgBr

= 1012 ; 06.0F

RT303.2

Q.9 The overall reaction in the above cell is:

(A) 2AgBr (s) + 2Hg(l) + 2Cl (aq) Hg2Cl

2+ 2Br + 2Ag (s)

(B) Ag(s) +2

1Hg

2Cl

2(s) + Br (aq) AgBr(s) + Hg (l) + Cl (aq)

(C) AgBr(s) +21 Hg

2Cl

2(s) Ag(s) + Hg (l) +

21 Br

2(g) +

21 Cl

2(g)

(D) Ag(s) + Hg (l) +2

1Br

2(g) +

2

1Cl

2(g) AgBr(s) +

2

1Hg

2Cl

2(s)

Q.10o

)/AgBr/AgBr(sE =

(A) 1.08 V (B) 0.08 V (C) 0.52 V (D)0.08 V


5/15

CHEMISTRY


Q.11 If 8

1

]Br[

]Cl[

then emf of the cell is : (Take : log2 = 0.3)

(A) 0.254 V (B) 0.06 V (C) 0.146 V (D) 0.54 V

Q.12 to Q.14 has four choices (A), (B), (C), (D) out of which ONE OR MORE may be correct.


(A) (B) + (C) + (D)

Orangesolid

Colouredsolid

Whitesolid

Deep bluesolution

(When excess J is passed)

Pink solid

Anhydrous

CoCl2

H2O NiCl2 solution

(E)

Red hot Mg(I) (J) (K)

Q.12 Hybridisation in compound (A) is :

(A ) sp3 & d3s (B) sp3 & dsp2 (C) sp3 & sp2 (D) dsp2 & sp2

Q.13 Type of hybridisation in compound (K)

(A) d2sp3 (B) sp3d2 (C) dsp2 (D) sp3

Q.14 Difference of Bond angle between (J) and (C) is:

(A) 180 (B) 107.5 (C) 72.5 (D) 90

PART-B[MATRIX TYPE]

Q.1 has Four statements (A,B,C,D) given in Column-I and Five statements (P, Q, R, S,T) given in Column-II.

Any given statement in Column-Ican have correct matching with one or more statement(s) given inColumn-II.

[Only V-Group]

Q.1 Column I Column II

(A) Bakelite (P) Natural Polymer

(B) Natural Rubber (Q) Addition Polymer

(C) BUNA-N (R) Linear Polymer

(D) Cellulose (S) Co-Polymer

(T) Thermosetting Plastic


6/15

CHEMISTRY


[Only XY-Batch]


(Compound) (Test which distinguish the

given pair of compounds)

(A)

Cl

OH

&

OH

Cl

(P) Lucas test

(B) CH3CH

2CH

2OH &

OH|

CHCHCH 33 (Q) Haloform test

(C) CH3CH

2NH

2& CH

3NHCH

3(R) With aq. AgNO

3

(D) CH3CH = CHCH

2OH &

OH|

CHCCH|

CH

33

3

(S) Victor Mayer test

(T) Isocyanide test

PART-C

[INTEGER TYPE]

Q.1 to Q.4 are "Integer Type" questions. (The answer to each of the questions are upto 4 digits)

Q.1 Calculate the maximum percentage of relative humidity just below which CuSO4. 5H

2O will be efflorescent

(i.e. loses water to atmosphere) at 20C.

Given : CuSO4.5H

2O (s) CuSO

4.3H

2O (s) + 2H

2O (g) ; K

P= 104 atm2 at 20C

and vapour pressure of water at 20C = 19 torr.

Q.2 How many following molecules are paramagnetic?

KO2, Na

2O

2, CaO, KF, NO

2, NO

If your answer is 2, write the answer as 0002.

Q.3 In the following sets of aqueous solutions, how many of them can form a buffer solution.

Set (1): CH3COOH + NaOH

Set (2): HCN + KCN

Set (3): H2SO

4+ H

2C

2O

4

Set (4): CH3COOH + NH

3

Set (5):

OH

+

COOH

Set (6): CH3COONa + HCl

Set (7) : NH4Cl + NaOH

Set (8) : NH3

+ HCl


7/15

CHEMISTRY


Q.4

(i)

NMe3

OH

number of-H in major product.

(ii)H

O

O

Clnumber of MeMgBr consumed per molecule.

(iii)

O

D

HCN number of organic products formed during this reaction.

(iv) Number of all stereoisomers possible for major product of reaction given in part (iii).


8/15


MATHEMATICS

PART-A



Q.1 If y = y(x) and it follows the relation 2xy xcosye 2 = 5 then y'(0) is equal to(A) 4 (B)16 (C)4 (D) 16

Q.2 In a triangle ABC, let BC = 3, CA = 5 and AB = 7. If AD, BE, CF are the internal angle bisectors

of triangle ABC, thenCF

2

Ccos

BE2

Bcos

AD2

Acos

is equal to

(A) 83 (B) 15 (C)105

71(D)

15

1

Q.3 Let f(x) =

2xif2x

)bx(b

2xif8

2xifa

22

x

Iff is continuous at x = 2 then the locus of the point of intersection of the pair of perpendicular tangents

to the hyperbola 1b

y

a

x2

2

2

2

, is

(A) x2 + y2 = 4 (B) x2 + y2 = 10 (C) x2 + y2 = 12 (D) x2 + y2 = 1

Q.4 The number of six digit numbers that can be formed using the digits 0, 1, 2, 3, 4, 5, 6 so that digits

do not repeat and the first and last place are even, is

(A) 1080 (B) 1440 (C) 1220 (D) 720


Q.5 Number of skew-symmetric matrices of order 3 whose elements are 0, 0, 0, 1,1, 2,2, 3,3 is

(A) 8 (B) 12 (C) 24 (D) 48

Q.6 Let f (x) =

1|x||;x|x

1|x|;2

xsinx2

then f (x), is(A) an even function (B) an odd function

(C) a decreasing function (D) periodic function

Q.7 Let , be roots of the equation x2 + ax 4 = 0 (a R). If + , 2 + 2, 3 + 3 are inarithmetic progression, then a lies in interval

(A) (3,2) (B) (2,1) (C) (1, 0) (D) (0, 1)


9/15


MATHEMATICS

Q.8 Number of solution of the equation 2 66 sincos = 1 + cos 2 in [, ] is

(A) 1 (B) 2 (C) 3 (D) 4

[PARAGRAPH TYPE]



Let the equation of plane passing through the line of intersection of planes P1

: 2x5y + z3 = 0

and P2

: x + y + 4z5 = 0 and parallel to the plane P3

: x + 3y + 6z1 = 0 is P4

: x + 3y + 6z = k.

Q.9 The value of k is equal to

(A) 2 (B) 3 (C) 5 (D) 7

Q.10 The least distance between planes P3

and P4

is equal to

(A)46

4(B)

46

6(C)

46

2(D)

46

1

Q.11 If the plane P4

intersects x-axis, y-axis and z-axis at A, B and C respectively then

area of triangle ABC is equal to

(A)36

464(B)

36

469(C)

36

4649(D)

36

4625



Chords of the parabola y2 = 4x are tangent to the hyperbola x2y2 = 1. The locus of the

point of intersection of tangents of parabola drawn at extremities of such chords is an ellipse E.

Q.12 Which of the following statement(s) is(are) correct?

(A) The eccentricity of ellipse E equals cos 60.

(B) The foci of ellipse E are (0, 3 ).

(C) The length of latus-rectum of ellipse E equals 1.

(D) The distance between vertices of ellipse E equals 4.

Q.13 If circle described on vertices of ellipse E as diameter intersects orthogonally the circlex2 + y2 = 4x + 2yk2, then k can be

(A)1 (B) 1 (C)2 (D) 2

Q.14 The equation of common tangent(s) to hyperbola x2y2 = 1 and ellipse E can be

(A) x = 1 (B) x =1 (C) y = 1 (D) y =1


10/15


MATHEMATICS

PART-B

[MATRIX TYPE]

Q.1 has four statements (A, B, C, D) given in Column-I and five statements (P, Q, R, S, T) given in Column-II.

Any given statement in Column-Ican have correct matching with one or more statement(s) given in Column-II.

Q.1 Column-I Column-II

(A) Number of integers in the domain of function (P) 0

f(x) =

x|x|

1log

2

xlogsin 2

2

21

is equal to (Q) 1

(B) The value of definite integral

4

11

4

3

dx2

xsin)1x( is equal to (R) 2

(C) The focal chord of the parabola (y2)2 = 16 (x1) is a tangent (S) 3

to the circle x2 + y2

14x

4y + 51 = 0,then slope of the focal chord can be

(D) If | w | = 2, then the locus of P(z) such that z =w

1w is an ellipse. (T) 5

The diameter of auxilliary circle of ellipse is

PART-C

[INTEGER TYPE]


Q.1 Let f (x) = x

0

ttdt)tx()43(3 (x0). If x = a is the point where f (x) attains its local minimum value

then find the value of 3a.

Q.2 Let z be a complex number such that 1z

1z2 and arg z = ,

Find the minimum value of 8 sin2.

Q.3 Let vandu

be vectors such that 1u

and 3v

. If w

is a vector satisfying wuvu

and vuw

, then find the value of wvu

.

Q.4 If f(x) = x3 + 3x2 + 4x + b sin x + c cos x xR is a one-one function, then find the maximum valueof (b2 + c2).


11/15

PHYSICS


PART-A



Q.1 Eight field lines emerge from a closed surface surrounding an isolated point charge. Would this fact

change if a second identical charge were brought to a point just outside the surface?

(A) The number of lines would change but the shape of the lines remains the same.(B) The number of lines would remain the same but the shape of the lines change.

(C) The number of lines as well as the shape of the lines remains the same.

(D) The number of lines as well as the shape of the lines would change.

Q.2 A spherical ball of mass m and radius r is released from top of a fixed rough circular track of radius R so

that it always rolls purely. Its velocity at the bottom does not depend on.

(A) r (B) R (C) m (D) acceleration due to gravity

Q.3 A ball is projected vertically upwards with a velocity of 50 m/s from a high cliff. After 7 seconds :

(A) The ball is above point of projection and is moving downward

(B) The ball is above point of projection and is moving upwards

(C) The ball is below point of projection and moving downward

(D) The ball is below point of projection and moving upward

Q.4 A conducting loop starts falling vertically above a wire carrying constant current to the left. The induced

current in the loop at the moment shown is in :

(A) clockwise direction (B) anticlockwise direction

(C) zero (D) impossible to determine


Q.5 Two identical objects A and B are placed on the principal axis of a converging lens shown.

2F0 A F0 B

x x

FI 2FI

(A) The image of A would be to right of FI and image of B would be to left of FI.(B) The image of A would be to left of FIand image of B would be to right of F

I.

(C) The image of A as well as B would be to left of FI.

(D) The image of A as well as B would be to right of FI.

Q.6 A solid metallic sphere is placed in vacuum. It is given a small charge. Due to the sphere, the gravitational

field at a distance x from the centre (inside the sphere) is

(A) Zero (B) Proportional to x

(C) Inversely proportional to x2 (D) Inversely proportional to x


12/15

PHYSICS


Q.7 In the figure shown, the surface is smooth, horizontal and the springs are at natural length. The spring are

not attached to the block. If the block is pushed to left by 4 cm and released, how far it will move to right

from equilibrium before coming to rest ?

100 N/m 400 N/m1kg

(A) 1 cm (B) 2 cm (C) 3 cm (D) 4 cm

Q.8 The blocks are in equilibrium. The friction force acting on 10 kg block is:

(A) 10 N down the plane (B) 40 N up the plane

(C) 10 N up the plane (D) None

[PARAGRAPH TYPE]


Paragraph for question nos. 9 to 11On the surface of water we drop three pieces of thread which are linked to each other as shown in the

f igure. The threads do not sink but remain on the water surface. (l2

= l3

= cm, l1

= 2 cm)

Now we drop a detergent at point A which decreases the surface tension in that region by a factor of 3.5

without changing the surface tension in other regions. In the next step, we drop the same detergent at

point B. The coefficient of surface tension of water is 0.07 N/m. It changes surface tension in region B

without changing it in other regions.

B Al1 l2

l3

Q.9 Choose the correct statements

(A) After first step, l1

is slack and after second step, all strings are taut

(B) After first step, l1

is slack and after second step, l2

is slack

(C) After first step, l2

is slack and after second step, l3

is slack

(D) None of these

Q.10 What is the tension in thread of length l2

after 1st drop was made?

(A) 5 104 N (B) 7 104 N (C) 3 104 N (D) 4 104 N

Q.11 What is the tension in thread of length l1

after second drop was made?

(A) N102

15 4 (B) 5 104 N (C) 3 104 N (D) N10

4

15 4


13/15

PHYSICS



MILLIKAN'S OIL DROP EXPERIMENT

Millikan's basic idea was to measure the rate of fall of a single drop acted on by gravity and drag forces,

apply Stokes's law to determine the drop radius and mass, then to measure its upward velocity in an

opposing electric field, and hence determine the total charge on an individual drop. A schematic of the

Millikan apparatus is shown in Figure. Oil droplets charged by an atomizer are allowed to pass through

a small hole in the upper plate of a parallel-plate capacitor. If these droplets are illuminated from the side,

they appear as brilliant stars against a dark background, and the rate of fall of individual drops may be

determined.

If an electrostatic field of several thousand volts per meter is applied to the capacitor plates, the drop

may move slowly upward, typically at rates of hundredths of a centimeter per second. Because the rate

of fall is comparable, a single droplet with constant mass and radius may be followed for hours, alter-

nately rising and falling, by simply turning the electric field on and off. These drops are falling at the

terminal velocity or rising at terminal velocity due to the influence of air resistance. In all the cases, the

buoyant force of air has been neglected. Assume that the electric field E is in the downward direction and

radius of the drop is r. The terminal velocity downwards with field off is v1

and the terminal velocity

upwards with field on is v2. The charge on the drop can be suddenly changed by absorption of an ion

which does not change its mass or radius significantly.

Q.12 If the magnitude of v1

and v2

are equal, the charge on the drop is

(A) directly proportional to the radius r (B) directly proportional to cube of radius r

(C) inversely proportional to the electric field (D) directly proportional to the electric field

Q.13 If the charge of the drop becomes lesser,

(A) v1

remains unchanged (B) v2

increases

(C) v2

decreases (D) v1

increases

Q.14 The velocity v1 of the drop downwards is 0.01 cm/s and velocity v2 of the drop upwards is 0.05 cm/s.The upwards moving drop suddenly gets an additional charge and its upwards terminal velocity reduces

to 0.04 cm/s. Choose the correct statement:

(A) The additional charge is positive (B) The additional charge is negative

(C) the ratio of initial and final charge is 5/4 (D) the ratio of initial and final charge is 6/5


14/15

PHYSICS


PART-B

[MATRIX TYPE]

Q.1 has four statements (A, B, C, D) given in Column-I and five statements (P, Q, R, S, T) given in Column-II.

Any given statement in Column-Ican have correct matching with one or more statement(s) given in Column-II.


(A) Body is a block lying on a rough inclined (P) Force exerted by A on body can be

plane. Angle < angle of repose. A is equal to it's weight in magnitude.

inclined surface

r

(B) Body is a ball falling in liquid with terminal (Q) If density of body is somehow

velocity. A is liquid. increased without changing r,

r it's state of motion (constant

acceleration / constant velocity) or

equilibrium position will be disturbed.

(C) Body is a spherical ball rolling purely on (R) Work done by the force exerted byinclined plane; inclined at an angle equal A on the body is zero.

to angle of repose. The inclined surface

is A.

r

(D) Body is m1hanging on an ideal pulley (S) Mechanical energy of body is constant

system. A is string m1< m

2. as time passes.

m1

m2

r(T) The kinetic energy of body is

constant as time passes


15/15

PHYSICS


PART-C

[INTEGER TYPE]


Q.1 In a sample initially there are equal number of atoms of two radioactive isotopes A and B. 3 days later the

number of atoms of A is twice that of B. Half life of B is 1.5 days. What is half life of isotope A ? (in

days)

Q.2 A uniform magnetic field of 0.06 T is inside plane of the figure. The resistance of rod is 25, mass is 36

gm and it can slide freely on smooth parallel rails which are perfectly conducting. The whole system is in

horizontal plane. If the rod starts from rest, what is its terminal velocity (in m/s) ?

0.5m36V

Q.3 An x-ray beam of monochromatic photon are incident on a metallic surface having a small work function.

It is seen that the wavelength of most energetic photoelectrons is equal to the wavelength of x-ray

photons. Find the wavelength (in pm). Round off to nearest integer.

Q.4 Water in an electric kettle is boiling. The power absorbed by water is 4520 W. Assuming that pressure

of vapor in kettle is equal to atmospheric pressure, determine the speed at which vapor comes out of the

opening if opening has a cross sectional area of 2 cm2. Take latent heat of water as 2.26 106 J/kg.

Assume that steam behaves like an ideal gas. (Round off to nearest integer). R =3

25J/mol k.

12 02 2012 xiii vxy paper ii code a

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