set_a

FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942

Website: www.fiitjee.com, Mail : [email protected]

CL

AS

S -

XII

FIITJEE

CHEMISTRY, MATHEMATICS & PHYSICS SET – A

Time Allotted: 3 Hours

Maximum Marks: 201

Please read the instructions carefully. You are allotted 5 minutes specifically for this purpose. You are not allowed to leave the Examination Hall before the end of the test.

INSTRUCTIONS

Caution: Question Paper CODE as given above MUST be correctly marked in the answer OMR sheet before attempting the paper. Wrong CODE or no CODE will give wrong results. A. General Instructions

Attempt ALL the questions. Answers have to be marked on the OMR sheets.

This question paper contains Three Sections.

Section-1 is Chemistry, Section-2 is Mathematics and Section-3 is Physics.

Each section has two parts: Part-A & Part-B

Rough spaces are provided for rough work inside the question paper. No additional sheets will be provided for rough work.

Blank Papers, clip boards, log tables, slide rule, calculator, cellular phones, pagers and electronic devices, in any form, are not allowed.

B. Filling of OMR Sheet

Ensure matching of OMR sheet with the Question paper before you start marking your answers on OMR sheet.

On the OMR sheet, darken the appropriate bubble with HB pencil for each character of your Enrolment No. and write in ink your Name, Test Centre and other details at the designated places.

OMR sheet contains alphabets, numerals & special characters for marking answers.

C. Marking Scheme For All Parts.

Part-A (01 – 06) contains 6 Multiple Choice Questions which have only one correct answer. Each question carries +3 marks for correct answer and –1 mark for wrong answer. Part-A (07 – 09) contains 3 Assertion-Reasoning (multiple choice questions) which have only one correct answer. Each question carries +3 marks for correct answer and –1 mark for wrong answer. Part-A (10 – 15) contains 2 Paragraphs. Based upon paragraph, 3 Multiple Choice Questions have to be answered. Each question has only one correct answer and carries +4 marks for correct answer and – 1 mark for wrong answer.

Part-B (01 – 02) contains 2 Matrix Match Type question containing statements given in 2 columns.

Statements in the first column have to be matched with statements in the second column. Each question carries +8 marks for all correct0020answer. For each correct row +2 marks will be awarded. There may be one or more than one correct choice. No marks will be given for any wrong match in any question. There is no negative marking.

Name of the Candidate : ____________________________________________

Batch : ___________________ Date of Examination : ____________________

Enrolment Number : _______________________________________________

APT - 1

CODE: 080086.1

Ai2TS - 4

ALL INDIA iNTERNAL TEST SERIES

2 AI2TS-4-(APT-1)-SET-A-CMP-XII ALL INDIA iNTERNAL TEST SERIES



SECTION – 1 (Chemistry) PART – A

(Single Correct Choice Type)

This section contains 6 multiple choice questions. Each question has four choices (A), (B), (C) and (D) out of which

ONLY ONE is correct.

1. X g Y g Z g

Equal moles of X, Y and Z gases are present in the above equilibrium which is established at 9 atm and 100

oC. What is the equilibrium constant Kp of the reaction?

(A) 6 atm (B) 9 atm (C) 3 atm (D) 4.5 atm

2. Which of the following acid salt on Kolbe’s electrolysis produces ethylene(C2H4)?

(A) CH3CH2COONa (B)

CH2COONa

CH2COONa

(C)

CHCOONa

CHCOONa

(D)

CH2CH2COONa

CH2CH2COONa

3. Which of the following is not obtained by heating hydrated borax, Na2B4O7.10H2O?

(A) Na2B4O7(anhydrous) (B) NaBO2 (C) B2O3 (D) NaBO3

4. The strongest reducing agent out of the following is:

(A) NH3 (B) PH3 (C) AsH3 (D) BiH3

5. Which of the following reaction is called calcination in metallurgy?

(A) ZnO C Zn CO

(B)

2PbS 3O 2PbO 2SO2 2

(C) 3 2 22

CuCO .Cu OH 2CuO CO H O

(D) 2FeO CO Fe CO

6. Which of the following gases are produced when crystals of NaBr is added to concentrated H2SO4?

(A) HBr and SO2 (B) Br2 and SO2 (C) HBr and H2S (D) Br2 and H2S

Space for rough work




(Assertion-Reasoning Type)

This section contains 3 multiple choice questions. Each question has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct. Examine the two statements carefully and decide if the Assertion (A) and the Reason (R)

are individually true and if so, whether the Reason (R) is the correct explanation for the given Assertion (A).

7. Assertion(A): Assertion: Sodium phenoxide is more reactive than phenol towards electrophilic

substitution reaction which takes place in a polar solvent Reason (R): Phenoxide ion contains less number of hydrogen atoms than that of phenol.

(A) Assertion (A) is True, Reason (R) is true, Reason (R) is a correct explanation for Assertion (A). (B) tatement-1 is True, Reason (R) is true, Reason (R) is NOT a correct explanation for Assertion (A). (C) Assertion (A) is True, Reason (R) is False. (D) Assertion (A) is False, Reason (R) is True.

8. Assertion(A): The solubility of Be(OH)2 in water increases by adding NH4Cl to its saturated aqueous solution.

Reason (R): Be2+

ion reacts with NH3 to form Be(NH2)2 which drives the solubility equilibria towards forward direction.

(A) Assertion (A) is True, Reason (R) is true, Reason (R) is a correct explanation for Assertion (A) (B) Assertion (A) is True, Reason (R) is true, Reason (R) is NOT a correct explanation for Assertion (A) (C) Assertion (A) is True, Reason (R) is False. (D) Assertion (A) is False, Reason (R) is True.

9. Assertion(A): H2O is more acidic than H2S. Reason (R): Presence of hydrogen bond is not observed in H2S

(A) Assertion (A) is True, Reason (R) is true, Reason (R) is a correct explanation for Assertion (A) (B) Assertion (A) is True, Reason (R) is true, Reason (R) is NOT a correct explanation for Assertion (A). (C) Assertion (A) is True, Reason (R) is False. (D) Assertion (A) is False, Reason (R) is True.





(Comprehension Type)

This section contains 2 paragraphs. Based upon each paragraph 3 multiple choice questions have to be answered. Each of these questions has 4 choices (A), (B), (C) and (D) out of which ONLY ONE is correct.

Paragraph for Questions 10 to 12

Read the paragraph carefully and answer the following questions:

V (in mL)

P

(in mm)

Y

X

A

B

C

One mole of an ideal gas undergoes the above cyclic process (ACBA) through three paths. The pressure and volume at the points ‘A’, ‘B’ and ‘C’ are given above with mm and mL units respectively. 10. Along which of the following path/paths, the work done by the gas is zero?

(A) A C (B) C B

(C) B A (D) both C B and B A 11. Which of the following path or paths involve(s) compression of the gas?

(A) A C (B) C B (C) B A (D) A C and B A

12. At which of the following point the temperature is maximum?

(A) A (B) B (C) C (D) Both A and B



A black powder(A) when heated with NaCl and Conc. H2SO4 gives off a greenish – yellow gas(B). The gas (B) on passing through liquor ammonia liberates N2 and on passing through boiling KOH yields compounds one of which when heated with the black powder evolves oxygen gas. 13. The black powder(A) is:

(A) Pb3O4 (B) MnO2 (C) Cr2O3 (D) PbS

14. Which of the following is gas(B)?

(A) Cl2 (B) HCl (C) SO2 (D) O2

15. Which compound on heating with (A) (which behaves as a catalyst), evolves oxygen gas?

(A) KCl (B) KClO3 (C) K2CO3 (D) K2C2O4





PART – B (Matrix Match Type)

This section contains 2 Matrix Match questions. Each question has statements given in 2 columns. Statements in the

first column have to be matched with statements in the second column.

1. Match the following

Column 1 Column 2

(A) Al2O3.2H2O (P) Concentrated by froth flotation process

(B) Cu2S (Q) Undergoes calcination

(C) PbS (R) Undergoes roasting

(D) PbCO3 (S) Undergoes self-reduction

(T) The metal is refined by electrolytic process


Column 1 Column 2

(A)

CHO CHO

and

(P) Fehling’s solution test

(B)

COCH3 CHO

and

(Q) Tollen’s reagent test

(C)

OH OH

and

(R) Iodoform test

(D) CH3

CH

CHO

and

OH

(S) FeCl3 test

(T) Lucas test





SECTION – 2 (Mathematics) PART – A




1. Let P be any point on the plane lx my nz p and Q be a point on the line OP such that OP.

OQ = p2. The locus of the point Q is

(A) 2 2 2

lx my nz p x y z

(B) 2 2 2

lx my nz p x y z

(C) 2 2 2

p lx my nz x y z

(D) 2 2 2 2

x y z p

2. The four lines drawn from the vertices of any tetrahedron to the centroid of the opposite faces meet

in a point whose distance from each vertex is k times the distance from each vertex to the opposite face, where k is

(A) 1/3 (B) 1/2 (C) 3/4 (D) 5/4

3. P, Q, R, S are four coplanar points on the sides AB, BC, CD, DA of a skew quadrilateral. The

product AP BQ CR DS

. . .PB QC RD SA

equals

(A) -2 (B) -1 (C) 2 (D) 1 4. The plane lx my 0 is rotated about its line of intersection with the x O y plane through an angle

. Then the equation of the plane is lx my nz 0 , where n is

(A) 2 2l m cos (B)

2 2l m sin (C)

2 2l m tan (D) None of these

5. If sinx 2 cos x 3, x 0, 2 ([.] denotes the greatest integer function), then x belongs to

(A)

5,

4 (B)

5,

4 (C)

5, 2

4 (D)

5, 2

4

6. In a ABC, tan A tan B tan C = 9. For such triangles, if

2 2 2tan A tan B tan C then

(A) 3

9. 3 27 (B) 27 (C) 3

9. 3 (D) 27








7. Assertion(A): Equation of the polar to the sphere

2 2 2x y z 1 with respect to the point (1, 2, 3)

is x 2y 3z 1

Reason (R): The point (1, 2, 3) lies outside the sphere 2 2 2x y z 1

(A) Assertion(A) is true, Reason (R) is true, Reason (R) is correct explanation of Assertion(A) (B) Assertion(A) is true, Reason (R) is true, Reason (R) is not correct explanation of Assertion(A) (C) Assertion(A) is true, Reason (R) is false

(D) Assertion(A) is false, Reason (R) is true

8. Assertion(A):

If

3 3 4

A 2 3 4 ,

0 1 1

then adj (adj A) = A

Reason (R):

2n 1

adj adjA A , A be n rowed non singular matrix



9. Assertion(A): If positive numbers

1 1 1a ,b ,c are in AP, then product of roots of equation

2 101 101 101

x x 2b a c 0 R has –ve sign.

Reason (R):

If a, b, c are in H.P, then

n nna c

b2

AM HM

n n n

2b a c 0

101 101 101

2b a c 0











Suppose direction cosines of two lines are given by ul vm wn 0 and 2 2 2al bm cn 0, where u,

v, w, a, b c are arbitrary constants and l, m, n are direction cosines of the lines. On the basis of above information, answer the following questions:

10. For u v w 1, both lines satisfies the relation

(A)

2n n

b c 2b a b 0l l

(B)

2l l

c a 2c b c 0m m

(C)

2m m

a b 2a c a 0n n

(D) All of the above

11. For u v w 1, If

n n a b1 2 ,l l b c12

then

(A)

1 2

1 2

b cm m

l l c a (B)

1 2

1 2

c am m

l l b c (C)

1 2

1 2

a bm m

l l c a (D)

1 2

1 2

c am m

l l a b

12. For u v w = 1 and if lines are perpendicular, then

(A) a b c 0 (B) ab bc ca 0 (C) ab bc ca 3abc (D) ab bc ca abc







If n positive integers taken at random and multiplied together, then the chance that the last digit of the product would be on the basis of above information, answer the following questions: 13. 1, 3, 5, 7 or 9 is

(A)

n2

5 (B)

n1

2 (C)

n

n

2 1

5 (D)

n n

n

5 4

10

14. 1, 3, 7 or 9 is

(A)

n

n

2 1

5 (B)

n n

n

5 4

10 (C)

n2

5 (D)

n1

2

15. 5 is

(A)

n n

n

5 4

10 (B)

n

n

2 1

5 (C)

n n n n

n

10 8 5 4

10 (D)

n2

5









Column 1 Column 2

(A)

If Acute and obtuse angle bisectors of the

planes 2x y 2z 3 0 and

3x 2y 6z 8 0 are represented by A and

O, then

(P) A : 32x 13y 23z 3 0

(B)

If acute and obtuse angle bisectors of the planes

x 2y 2z 3 0 and 2x 3y 6z 8 0

are represented by A and O, then

(Q) O : x 5y 4z 45 0

(C)

The acute and obtuse angle bisectors of the

planes 2x y 2z 3 0 and

6x 2y 3z 8 0 are represented by A and

O, then

(R) A : 23x 13y 32z 45 0

(D) If distance of A from point (2, –3, –4) is 38 3

574

then A is

(S) O : 4x y 5z 45 0

(T) A :13x 23y 32z 3 0


Column 1 Column 2

(A) Let f x max 1 sin x,1,1 cos x ,x 0,2

and g x max 1, x 1 , x R, then (P) g f 1 1

(B)

Let

1 xf x In x 1,1

1 xand

3

2

3x xg x ,

1 3x then

(Q) f g 0 0

(C) Let 2

f x 1 x and 2

g x x x , then (R) f g 0 1

(D) 2

f x x 1 and g x x , then (S) g f 0 1

(T)

e 1g f . 1

e 1





SECTION – 3 (Physics) PART – A




1. A cylindrical vessel contains a liquid of density up to height h. The

liquid is closed by a piston of mass m and area of cross section A. There is a small hole at the bottom of the vessel. The speed v with which the liquid comes out of the hole is

m,A

v

(A) 2gh

(B)

mg2 gh

A

(C) mg

2 ghA

(D) mg

2ghA

2. If block A is moving horizontally with velocity vA then find the

velocity of block B at the instant as shown in the figure

h

x

vA

B

A

(A)

A

2 2

hv

2 x h

(B)

A

2 2

xv

x h

(C)

A

2 2

xv

2 x h

(D)

A

2 2

hv

x h





3. The given figure shows an inductor and resistance fixed

on a conducting wire. A movable conducting wire PQ starts moving on the fixed rails from t = 0 with constant velocity 1m/s. The work done by the external force on the wire PQ in 2 seconds is

L=2H R=2

B=2T

=2m

v=1m/s

P

Q

(A) 16J (B) 32J (C) 48J (D) 64J 4. There are two radioactive nuclei A and B. A is an alpha emitter and B is a beta emitter.

If their disintegration constants are in the ratio 1 : 2, then the ratio of number of atoms of A and B at any time t so that probabilities of getting alpha and beta particles are same at that instant

(A) 2 : 1 (B) 1 : 2 (C) e (D) e–1

5. A gas containing hydrogen like ions with atomic no Z, emits photons in transition n + 2 n, where n

= Z. There photons fall on a metallic plate and eject electrons having minimum de-Broglie

wavelength of 5Å. Find the value of ‘Z’ if the work function of metal is 4.2 eV

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

6. The wavelength of the characteristic X-ray K line emitted by a hydrogen-like element is

0.32 Å. The wavelength of K line emitted by the same element will be

(A) 0.24 Å (B) 0.27 Å (C) 0.32 Å (D) 0.48 Å








7. Assertion(A): If the accelerating potential in an X-ray tube is increased, the wavelengths of the

characteristic X-rays do not change. Reason (R): When an electron beam strikes the target in an X-ray tube, part of the kinetic energy

is converted into X-ray energy.

(A) Assertion (A) is true, Reason (R) is true, Reason (R) is a correct explanation for Assertion (A) (B) Assertion (A) is true, Reason (R) is true, Reason (R) is not a correct explanation for Assertion (A). (C) Assertion (A) is true, Reason (R) is false. (D) Assertion (A) is false, Reason (R) is true.

8. Assertion(A): Minimum deviation for a given prism does not depend on the refractive index of the prism.

Reason (R): Deviation by a prism is given by = 1 2i i A and does not have the term .


9. Assertion(A): If a proton and an electron, initially at rest, are accelerated through the same

potential difference, their final kinetic energies will be equal. Reason (R): Mass of proton is about 1840 times the mass of electron.










For a certain thermodynamic cycle undergone by an ideal gas the variation of internal energy (U) with pressure (P) is as shown in the figure.

U

P

A

B

C

450

10. Here the process A B must be (A) Isothermal (B) Isochoric (C) Adiabatic (D) None of these

11. The V-T diagram for the process will look as

(A)

A

B

C

V

T

(B)

A B

C

V

T

(C)

A B

C

V

T

(D)

A B

C

V

T 12. The net work done in the cycle will be

(A) Positive (B) Negative (C) Zero (D) Data insufficient






Read the paragraph carefully and answer the following questions: We have two radioactive nuclei A and B. Both convert into a stable nucleus C. Nucleus A converts into C

after emitting two -particles and three -particles. Nucleus B converts into C after emitting one -particle

and five -particles. A time t = 0, nuclei of A are 4 N0 and that of B are N0. Half-life of A (into the conversion of C) is 1 min and that of B is 2 min. Initially number of nuclei of C are zero. 13. If atomic numbers and mass numbers of A and B are Z1, Z2, A1 and A2 respectively. Then (A) Z1 – Z2 = 6 (B) A1 – A2 = 4 (C) both (a) and (b) are correct (D) both (a) and (b) are wrong 14. What are number of nuclei of C, when number of nuclei of A and B are equal?

(A) 2 N0 (B) 3 N0 (C) 9No

2 (D)

5No

2

15. At what time rate of disintegrations of A and B are equal. (A) 4 min (B) 6 min (C) 8 min (D) 2 min









,m

Y = young’s

modulus of rod

A = area of crossection of rod

F

Column 1 Column 2

(A) Stress at a distance x from lower end (P)

21 YA

2

(B) Speed of longitudinal wave in rod (Q) F mgx

m

(C) Speed of transverse wave in rod at a distance x from lower end

(R)

mgxF

A

(D) If elongation of rod is l then elastic pot. energy in the rod will be

(S) YA

m

2. In the production of X-rays by a Coolidge tube, the changes which can be made in its operation are listed in Column-I. The possible effects of such changes are listed in Column-II.

Column 1 Column 2

(A) Change in the current flowing through the filament (emitter or cathode)

(P) Harder or softer X-rays are produced

(B) Change in the potential difference applied across the tube

(Q) Wavelengths of the characteristic X-rays change

(C) Change in the metal used as the target (R) Intensity of the X-rays change

(D) Rotating the tube from a horizontal position to a vertical position

(S) Cut of wavelengths changes

(T) No Change


set_a

Documents

correct answer

wrong answer

answer omr sheet

question paper code

single correct choice

correct row

wrong code

matching of omr sheet