paractice paper i (iit jee)

7/31/2019 Paractice Paper I (IIT JEE)

1/20

Date : 21-08-2010

Max. Marks : 240 Max. Time : 3 hours

INSTRUCTIONS

A. General :

1. This booklet is your question paper containing 60 questions.

2. The question paper contains blank space for your rough work. No additional sheets will be provided forrough work.

3. Blank papers, clipboards, log tables, slide rules, calculators, cellular phones, pagers and electronicgadgets in any form are not allowed to be carried inside the examination hall.

4. The answersheet, a machine readable Objective Response Sheet (ORS) is provided separately.

5. DO NOT TAMPER WITH/ MUTILATE THE ORS OR THE BOOKLET.

B. Filling the ORS :

6. On the ORS write in ink, your name, your Registration Number and Name of the centre in the respectiveboxes. Do not write these anywhere else.

7. Put your signature in ink in box provided on the ORS affirming that you have verifed this.

USEFUL DATA

Gas Constant R = 8.314 J K 1 mol1

= 0.0821 Lit atm K1 mol1

= 1.987 2 Cal K1 mol1Avogadros Number N

a

= 6.023 1023

Plancks constant h = 6.625 1034 J-s= 6.625 1027 erg-s

1 Faraday = 96500 Coulomb1 Calorie = 4.2 Joule1 amu = 1.66 1027 kg1 Ev = 1.6 1019 J

Atomic No. : H = 1, D = 1, Li = 3, Na = 11, K = 19, Rb = 37, Cs = 55, F = 9, Ca = 20, He = 2, O = 8,Au = 79, Ni = 28, Zn = 30, Cu = 29, Cl = 17, Br = 35, Cr = 24, Mn = 25, Fe = 26, S = 16,P = 15, C = 6, N = 7, Ag = 47

Atomic Masses :

He = 4, Mg = 24, C = 12, O = 16, N = 14, P = 31, Br = 80, Cu = 63.5, Fe = 56, Mn = 55,

Pb = 207, Au = 197, Ag = 108, F = 19, H = 1, Cl = 35.5, Sn = 118.6, Na = 23, D = 2,Cr = 52, K = 39, Ca = 40, Li = 7, Be = 9, Al = 27, S = 32


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Space For Rough Work

22

PAPER-I (PAGE # 2/20)IIT-JEE : 2012 (PRACTICE PAPER-1 CLASS-XII)

CHEMISTRY

Section I (Straight Objective Type)

This section contains 8 multiple choice questions. Each question has 4 choices (A) , (B),

(C) and (D) out of which ONLY ONE is correct.

[ Marking : + 3 marks for every correct answer and 1 for every wrong answer ]

1. IUPAC name of the following compound is

OH

CNCl

(A) 3-hydroxy-5-chlorobenzonitrile (B) 3-chloro-5-hydroxy benzonitrile

(C) 3-chloro-5-cyanophenol (D) 3-cyano-5-chloropehnol

2. Pb(NO3)

2is reacted with bleaching powder (CaOCl

2) to obtain

(A) Pb3O

4(B) PbO (C) PbO

2(D) PbCl

4

3. The maximum kinetic energy of photoelectrons ejected from a metal isxwhen it is irradiated with

radiation having frequency twice the threshold frequency. If frequency of the incident radiation is doubled,

the maximum kinetic energy of the photoelectrons would become

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

4. Which is the correct IUPAC name of the following compound.

OCH3

CHO(A) 4-formyl-2-methyl cyclohexanone (B) 4-oxo-3-methyl cyclohexane carbaldehyde

(C) 3-methyl-4-oxocyclohexane carbaldehyde (D) 3-formyl-6-oxo-methylcyclohexane

5. A nitrate which does not liberate O2

gas upon heating

(A) NaNO3 (B) Mn(NO3)2 (C) (NH4)NO3 (D) AgNO3


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6. Energy level A, B, C of a certain atom correspond to increasing values of energy EA

, EB, E

C. If

1,

2

and 3

are the wavelengths for the electronic transition C B, B A, C A respectively,

they are related as

(A) 3

= 1

+ 2

(B) 3

=21

21

(C) 2

3 = 2

221

(D) 1

+ 2

+ 3

= 0

7. Which of the following compound can exhibit tautomersim.

(A)

NO2

(B)

NH

(C)

O

O

(D)

O

O8. Which of the following statement is incorrect

(A) Lithium forms an alum Li2SO

4.Al

2(SO

4)

3.24H

2O

(B) Lithium carbonate, lithium sulphate, lithium hydroxides are stable to heat.

(C) LiNH2upon heating form Li

3N

(D) Lithium dissolves in sodium

Section II (Multiple Correct Answers Type)

This section contains 4 multiple correct answer(s) type questions . Each question has 4

choices (A) , (B) , (C) and (D) out of which ONE OR MORE is/are correct.

[ Marking : + 4 marks for every correct answer and 1 for every wrong answer]

9. Which of the following compounds on hydrolysis produce HX ?

(A) SiCl4

(B) NCl3

(C) SOCl2

(D) BF3


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10. Which of the following is/are optically inactive

(A)

Ph

H

COOH

H

Ph

H

HOOC

H

(B)

Ph

H

COOH

H

Ph

H

HOOC

H

(C)

Ph

H

COOH

H

Ph

H

H

COOH

(D)

Ph

H

COOH

H

H

COOH

H

Ph

11. P4O

6

Boil

OH2 (A) NaOH

product(s). The product(s) is/are:

(A) Na2HPO

3(B) Na

3PO

3(C) Na

3PO

4(D) PH

3

12. Which of the following is having centre of symmetry as well as plane of symmetry

(A)

Me

H

Me

H

(B)

Me

H

Me

H

(C)

Me

H Me

H

(D)

H

Me

Me

H

Section III (Linked Comprehension Type)

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

[ Marking : + 4 marks for every correct answer and

1 for every wrong answer ]


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PARAGRAPHI

CaO + C A 2

N B + carbon

13. No. of and p bonds that the compound B has :

(A) 2 & 2 (B) 1 + 2 (B) 2 + 1 (D) (B) 1 + 1

14. Compound B + carbon D 2 3

Na CO E (Water soluble) + F (water insoluble) Compuond E

is

(A) NaNH2

(B) NaCN (C) NaN3

(D) NaOH

15. Compound B + dil. H2SO

4 G

H. The compound H is

(A) (NH4)

2SO

4(B) Pyridine (C) malamine (D) Cyanamide

PARAGRAPHII

In one of the experiment with some hydrogen like atoms it was observed that the number of existing orbit

follows the sequence (2 + 1) where = 0, 1, 2, 3, 4, 5, 6, .............. but the energy and wavelength

may be obtained from the relation En= 2

2

n

z6.13by proper conversion from the relation E

n=

hc

. The

value of Rydberg constant was as it is but there was slight change in reduce mass of the atom from their

corresponding normal values. The mis reported results correctly respond to de Broglie wave and uncertainty

principle based on the above concept answer the following objective question with one best answer.

16. The ratio of wave length for first Lyman and Balmer transition in hydrogen atom is

(A) 2 : 25 (B) 1 : 27 (C) 3 : 9 (D) 5 : 27

17. Energy difference between the electron of hydrogen in ground state and first excited Li (II) would be

(A) 27.2 eV (B) 108.8 eV (C) 10.2 eV (D) zero

18. What transition in Li(II) will produce the same wavelength as first transition of1H3, if we neglect the

effect of reduce mass

(A) 1, 3-transition (B) 3, 5-transition (C) 3,9-transition (D) 5-9 transition


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Section -IV (Matrix-Match Type)

This section contains Two questions. Each question contains statementsgiven in two columns which have to be matched. Statements (A,B,C,(D)in Column I have to be matched with statements (p,q,r,s, t) in Column II.The answers to these questions have to be appropriately bubbled asillustrated in the following example.

p q r s t

p q r s t

p q r s t

p q r s t

p q r s t

A

B

C

D

If the correct matches are A-pt, B-qr, C-pq and D-st, then the correctly bubbled4 5 matrix should be as above.[For each question in this section, you will be awarded 2 marks for each row in which you

have darkened the bubble(s) corresponding to the correct answer. Thus, each question inthis section carries a maximum of 8 marks. There is no negative marking for incorrectanswer(s) for this section)]

19. Match the following column

ColumnI ColumnII

(A)

Me

H

Me

Me

H

H(p) Plane of symmetry

(B)CNH

O

NHC

O

H

Me

Me

H(q) centre of symmetry


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(C)

Me

H H

Me

OH

HH

OH

(r) Chiral

(D)CNH

O

NHC

O

Me

H H

Me

(s) Achiral

20. Match the Column

Where : Pn

= Potential energy

En

= Total energy

Vn = Velocity in n

th

orbitT

n= Time period in nth orbit

fn

= Frecquency of electron in nth orbit

Column-I Column-II

(A) En ry , y = ? (p) 1/2

(B) En

/ Pn

(q) 1

(C) xn

1Z

f , x = ? (r) 2

(D) (Vn Tn)t rn, t = ? (s) 1


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MATHEMATICS

Section I (Straight Objective Type)

This section contains 8 multiple choice questions. Each question has 4 choices

(A) , (B) , (C) and (D) out of which ONLY ONE is correct.

[ Marking : + 3 marks for every correct answer and 1 for every wrong answer ]

21. Value of x satisfying

x

x

x

x is/are

(A) x R (B) x R {0} (C) x R+ (D) x R

22. Values of x satisfying the equality |x2 + 8x + 7| = |x2 + 4x + 4| + |4x + 3| for x R are

(A) ( 2, ) (B)

,

4

3 { 2} (C)

,

4

3 {2}(D)

,

3

4

23. If the function f(x) = cos2x + cos2

x

3cos x cos

x

3is constant (independent of x), then the

value of this constant is

(A) 0 (B) 3/4 (C) 1 (D) 4/3

24. Solution set of

2(| x | 1)(4 x )

x 3

0 is

(A) (, 2] [1, 1] [2, 3] (B) (, 2] [1, 1] [2, 3)

(C) [2, 1] [1, 2] (3, ) (D) [2, 1] [2, 3)


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25. Which of the following is the graph of y =

1

2

1

2

log x

log x?

(A) (B)

(C) (D)

26. The value of 0

0

00

00

147cos

147sin

12sin12cos

12sin12cos

, is

(A) 1 (B) 1 (C) 0 (D) none of these

27. If cos =2cos 1

2 cos

, then tan 2

cot

2

has the value equal to

(A) 3 (B) 2 (C) 4 (D) none of these

28. If and satisfy the equation , acos + bsin = c, then the value of2

tan.2

tan

is

(A)

ac

ac

(B)

ac

ac

(C)

ab

ab

(D)

ab

ab


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Section II (Multiple Correct Answers Type)

This section contains 4 multiple correct answer(s) type questions . Each question has 4

choices (A) , (B) , (C) and (D) out of which ONE OR MORE is/are correct.

[ Marking : + 4 marks for every correct answer and 1 for every wrong answer]

29. Let sin + cos = 1 then can be

(A) = 2n +2

(B) = n + ((1)n + 1)

4

(C) = n + ((

1)n

1) 4

(D) = 2n30. Give that sin 3 = sin 3, then which of the following will be equal to cos?

(A) cos

3

(B) cos

3

(C) cos

3

2(D) cos

3

2

31. If 0 x 2 and | cosx | sin x then.

(A) the set of values of x is

3 7,

2 4

(B) the number of solution that are integral number multiples of4

is 3

(C) the sum of the largest and the smallest solution is

3

4

(D) x 3

, ,4 2 2 4

32. The inequation,

xlog

1

2

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