1. Xtra Edge February 2012 - Career Point
1. Xtra Edge February 2012 - Career Point 1. Xtra Edge February 2012 - Career Point
Passage # 2 (Ques. 17 to 19) An activating group activates all positions of the benzene ring; even the positions meta to it are more reactive than any single position in benzene itself. It directs ortho and para simply because it activates the ortho and para positions much more than it does the meta. A deactivating group deactivates all positions in the ring, even the positions meta to it. It directs meta simply because it deactivates the ortho and para positions even more than it does the meta. Thus, both ortho and para orientation and meta orientation arise in the same way : The effect of any group whether activating or deactivating is strongest at the ortho and para positions. But certain groups (– NH2 and – OH, and their derivatives) act as powerful activators towards electrophilic aromatic substitution, even though they contain electronegative atoms and can be shown in other ways to have electron-withdrawing inductive effects. Halogens are unusual in their effect on electrophilic aromatic substitution; they are deactivating yet ortho, para-directing. Deactivation is characteristic of electron withdrawal, whereas ortho-para orientation is characteristic of electron release. 17. Which will undergo Friedel-Crafts alkylation reaction? (1) (3) CH3 NO2 COOH (2) (4) CH2CH3 OH (A) 1, 2 and 4 (B) 1 and 3 (C) 2 and 4 (D) 1 and 2 18. Which of the following is the strongest acid ? OH (A) OH (C) OH NO2 NO2 (B) (D) Cl OH NO2 19. Reactivity in halogen substituted benzene rings is controlled by : (A) resonance (B) inductive effect (C) inductive effect dominates resonance effect (D) resonance effect dominates inductive effect This section contains 3 questions (Questions 20 to 22). Each question contains statements given 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) in Column II. The answers to these questions have to be appropriately bubbled as illustrated in the following example. If the correct matches are A-P, A-S, B-Q, B-R, C-P, C-Q and D-S, then the correctly bubbled 4 × 4 matrix should be as follows : P Q R S A P Q R S B P Q R S C P Q R S D P Q R S Mark your response in OMR sheet against the question number of that question in section-II. + 6 marks will be given for complete correct answer and No Negative marks for wrong answer. However, 1 mark will be given for a correctly marked answer in any row. 20. One mole of an ideal gas is subjected to the following process : Column-I Column-II (A) ∆W = 0 (P) If the gas undergoes free expansion (B) ∆E = 75Cv (Q) If the gas is cooled reversibly at constant pressure from 373 K to 298 K (C) ∆H = –75 Cp (R) If the gas is heated from 298 K to 373 K reversively at constant pressure (D) ∆W = –75 R (S) If the gas is heated from 298 K to 373 K at constant volume 21. Match the Column : Column-I Column-II (Gases X and Y (Tatio of times taken of diffusion) taken) (A) X = 100 ml of H2 at 1 bar, 25º C (P) 1 : 1225 Y = 200 ml of O2 at 2 bar, 25ºC (B) X = 100 ml of O2 at 1 bar, 25ºC (Q) 1 : 0.7 Y = 200 ml of O3 at 2 bar, 25ºC XtraEdge for IIT-JEE 56 FEBRUARY 2012
(C) X = 100 ml of SO2 at 1 bar, 25ºC (R) 1 : 1.36 Y = 100 ml of O2 at 1 bar, 25ºC (D) X = HCl gas to travel 100 cm (S) 1 : 8 length in a tube Y = NH3 gas to travel 200 cm length using the same tube (P, V, T) = same in both cases) 22. Match the Column : Column-I Column-II (A) Soluble in dil HCl (P) SrS2O3 (B) Yields SO2 with dil (Q) SrSO3 HCl on bonding (C) Soluble in aqueous (R) SrSO4 solution (D) Insoluble in aqueous (S) CdS solution MATHEMATICS Questions 1 to 9 are multiple choice questions. Each question has four choices (A), (B), (C) and (D), out of which ONLY ONE is correct. Mark your response in OMR sheet against the question number of that question. + 3 marks will be given for each correct answer and – 1 mark for each wrong answer. 1. The area enclosed by | y | – | x | = 1 and x 2 + y 2 =1 is (A) 2 units 2 (B) zero units 2 (C) infinite units 2 (D) none of these 2. Least value of the expression 9sec 2 θ + 4cosec 2 θ, is- (A) 6 (B) 1 (C) 36 (D) 25 x 3. Let f (x) = ∫ ( 2( x −1)( x − 2) + 3( x −1) ( x − 2) ) dx , 1 then- (A) f has exactly 4 critical points (B) f has maximum at x = 2 (C) x = 7/5 is minima & x = 1 is maxima (D) none of these 4. The locus of the middle points of chords of a parabola which subtend a right angle at the vertex of the parabola is- (A) Circle (B) Parabola (C) Ellipse (D) Straight line 5. The probability that a particular day in the month of july is a rainy day is 3/4. Two person whose credibility are 4/5 and 2/3 respectively claim that 15 th july was a rainy day. The probability that it was real a rainy day. (A) 3/4 (B) 24/25 (C) 8/9 (D) none 3 2 2 6. − ⎛ 2 −[ ] ⎞ Domain of f (x) = sin ⎜ ⎟ ⎝ [ ] ⎠ 1 x x , where [.] denotes x the greatest integer function, is (A) (–∞, 1) – {0} ⎡ 4 ⎞ (B) ⎢− , 0⎟ ∪ {0} ⎣ 3 ⎠ (C) (–∞, 0) ∪ I + (D) (–∞, ∞) – [0, 1) 7. The number of different words of three letters which can be formed from the word "PROPOSAL", if a vowel is always in the middle are- (A) 53 (B) 52 (C) 63 (D) 32 8. Let a1, a2, a3, ...... be terms of an A.P. If a1 + a2 + .... + a p a1 + a2 + ..... + aq 2 p a6 = , p ≠ q, then 2 q a21 equals- (A) 41/11 (B) 7/2 (C) 2/7 (D) 11/41 9. The curve y = ax 3 + bx 2 + cx is inclined by 45º to x-axis at origin and it touches x-axis at (1,0). Then- (A) a = –2, b = 1, c = 1 (B) a = 1, b = 1, c = –2 (C) a = 1, b = –2, c = 1 (D) a = –1, b = 2, c = 1 This section contains 4 questions numbered 10 to 13, (Reason and Assertion type question). Each question contains Assertion (A) and Reason (R). Each question has 4 choices (A), (B), (C) and (D) out of which ONLY ONE is correct. Mark your response in OMR sheet against the question number of that question. +3 marks will be given for each correct answer and – 1 mark for each wrong answer. The following questions given below consist of an "Assertion" (A) and "Reason" (R) Type questions. Use the following Key to choose the appropriate answer. (A) If both (A) and (R) are true, and (R) is the correct explanation of (A). (B) If both (A) and (R) are true but (R) is not the correct explanation of (A). (C) If (A) is true but (R) is false. (D) If (A) is false but (R) is true. 10. Assertion (A) : Let z be a complex number satisfying |z – 3| ≤ |z – 1|, |z – 3| ≤ |z – 5|, |z – i| ≤ |z + i| and |z – i| ≤ |z – 5i|. Then the area of region in which z lies is 12 sq. units. 1 Reason (R) : Area of trapezium = (sum of parallel 2 sides) (Distance between parallel sides) 11. Let f (x) = | 1 – x | and g(x) = sin –1 (f | x |) Assertion (A) : Number of values of x, where g(x) is non differentiable is 3. Reason (R) : Domain of g(x) is [–1, 1] XtraEdge for IIT-JEE 57 FEBRUARY 2012
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Passage # 2 (Ques. 17 to 19)<br />
An activating group activates all positions of the<br />
benzene ring; even the positions meta to it are more<br />
reactive than any single position in benzene itself. It<br />
directs ortho and para simply because it activates the<br />
ortho and para positions much more than it does the<br />
meta.<br />
A deactivating group deactivates all positions in the<br />
ring, even the positions meta to it. It directs meta<br />
simply because it deactivates the ortho and para<br />
positions even more than it does the meta. Thus, both<br />
ortho and para orientation and meta orientation arise<br />
in the same way : The effect of any group whether<br />
activating or deactivating is strongest at the ortho and<br />
para positions.<br />
But certain groups (– NH2 and – OH, and their<br />
derivatives) act as powerful activators towards<br />
electrophilic aromatic substitution, even though they<br />
contain electronegative atoms and can be shown in<br />
other ways to have electron-withdrawing inductive<br />
effects.<br />
Halogens are unusual in their effect on electrophilic<br />
aromatic substitution; they are deactivating yet ortho,<br />
para-directing. Deactivation is characteristic of<br />
electron withdrawal, whereas ortho-para orientation<br />
is characteristic of electron release.<br />
17. Which will undergo Friedel-Crafts alkylation<br />
reaction?<br />
(1)<br />
(3)<br />
CH3<br />
NO2<br />
COOH<br />
(2)<br />
(4)<br />
CH2CH3<br />
OH<br />
(A) 1, 2 and 4 (B) 1 and 3<br />
(C) 2 and 4 (D) 1 and 2<br />
18. Which of the following is the strongest acid ?<br />
OH<br />
(A) OH<br />
(C)<br />
OH<br />
NO2<br />
NO2<br />
(B)<br />
(D)<br />
Cl<br />
OH<br />
NO2<br />
19. Reactivity in halogen substituted benzene rings is<br />
controlled by :<br />
(A) resonance<br />
(B) inductive effect<br />
(C) inductive effect dominates resonance effect<br />
(D) resonance effect dominates inductive effect<br />
This section contains 3 questions (Questions 20 to 22).<br />
Each question contains statements given in two columns<br />
which have to be matched. Statements (A, B, C, D) in<br />
Column I have to be matched with statements (P, Q, R, S)<br />
in Column II. The answers to these questions have to be<br />
appropriately bubbled as illustrated in the following<br />
example. If the correct matches are A-P, A-S, B-Q, B-R,<br />
C-P, C-Q and D-S, then the correctly bubbled 4 × 4<br />
matrix should be as follows :<br />
P Q R S<br />
A P Q R S<br />
B P Q R S<br />
C P Q R S<br />
D P Q R S<br />
Mark your response in OMR sheet against the question<br />
number of that question in section-II. + 6 marks will be<br />
given for complete correct answer and No Negative<br />
marks for wrong answer. However, 1 mark will be<br />
given for a correctly marked answer in any row.<br />
20. One mole of an ideal gas is subjected to the following<br />
process :<br />
Column-I Column-II<br />
(A) ∆W = 0 (P) If the gas undergoes<br />
free expansion<br />
(B) ∆E = 75Cv (Q) If the gas is cooled<br />
reversibly at constant<br />
pressure from 373 K<br />
to 298 K<br />
(C) ∆H = –75 Cp (R) If the gas is heated<br />
from 298 K to 373 K<br />
reversively at constant<br />
pressure<br />
(D) ∆W = –75 R (S) If the gas is heated<br />
from 298 K to 373 K at<br />
constant volume<br />
2<strong>1.</strong> Match the Column :<br />
Column-I Column-II<br />
(Gases X and Y (Tatio of times<br />
taken of diffusion) taken)<br />
(A) X = 100 ml of H2 at 1 bar, 25º C (P) 1 : 1225<br />
Y = 200 ml of O2 at 2 bar, 25ºC<br />
(B) X = 100 ml of O2 at 1 bar, 25ºC (Q) 1 : 0.7<br />
Y = 200 ml of O3 at 2 bar, 25ºC<br />
<strong>Xtra</strong><strong>Edge</strong> for IIT-JEE 56 FEBRUARY <strong>2012</strong>