Paper Code : 100 1CT103516002 CLASSROOM CONTACT PROGRAMME (Academic Session : 2016 - 2017) ENGLISH JEE (Main + Advanced) : LEADER COURSE DO NOT BREAK THE SEALS WITHOUT BEING INSTRUCTED TO DO SO BY THE INVIGILATOR Test Type : MINOR PHASE : III, IV & V Test Pattern : JEE-Advanced TEST DATE : 31 - 07 - 2016 Time : 3 Hours PAPER – 2 Maximum Marks : 186 READ THE INSTRUCTIONS CAREFULLY GENERAL : 1. This sealed booklet is your Question Paper. Do not break the seal till you are told to do so. 2. Use the Optical Response sheet (ORS) provided separately for answering the questions. 3. Blank spaces are provided within this booklet for rough work. 4. Write your name, form number and sign in the space provided on the back cover of this booklet. 5. After breaking the seal of the booklet, verify that the booklet contains 24 pages and that all the 18 questions in each subject and along with the options are legible. If not, contact the invigilator for replacement of the booklet. 6. You are allowed to take away the Question Paper at the end of the examination. OPTICAL RESPONSE SHEET : 7. The ORS will be collected by the invigilator at the end of the examination. 8. Do not tamper with or mutilate the ORS. Do not use the ORS for rough work. 9. Write your name, form number and sign with pen in the space provided for this purpose on the ORS. Do not write any of these details anywhere else on the ORS. Darken the appropriate bubble under each digit of your form number. DARKENING THE BUBBLES ON THE ORS : 10. Use a BLACK BALL POINT PEN to darken the bubbles on the ORS. 11. Darken the bubble COMPLETELY. 12. The correct way of darkening a bubble is as : 13. The ORS is machine-gradable. Ensure that the bubbles are darkened in the correct way. 14. Darken the bubbles ONLY IF you are sure of the answer. There is NO WAY to erase or \"un-darken\" a darkened bubble. 15. Take g = 10 m/s2 unless otherwise stated. Please see the last page of this booklet for rest of the instructions
Target : JEE (Main + Advanced) 2017/31-07-2016/Paper-2 Atomic No. SOME USEFUL CONSTANTS Atomic masses : H = 1, B = 5, C = 6, N = 7, O = 8, F = 9, Al = 13, P = 15, S = 16, Cl = 17, Br = 35, Xe = 54, Ce = 58, H = 1, Li = 7, B = 11, C = 12, N = 14, O = 16, F = 19, Na = 23, Mg = 24, Al = 27, P = 31, S = 32, Cl = 35.5, Ca=40, Fe = 56, Br = 80, I = 127, Xe = 131, Ba=137, Ce = 140, Boltzmann constant k = 1.38 × 10–23 JK–1 Coulomb's law constant 1 = 9 ×109 Universal gravitational constant 4 0 Speed of light in vacuum Stefan–Boltzmann constant G = 6.67259 × 10–11 N–m2 kg–2 Wien's displacement law constant c = 3 × 108 ms–1 Permeability of vacuum = 5.67 × 10–8 Wm–2–K–4 b = 2.89 × 10–3 m–K Permittivity of vacuum µ0 = 4 × 10–7 NA–2 Planck constant 1 0 = 0c2 h = 6.63 × 10–34 J–s Space for Rough Work E-2/24 1001CT103516002
Leader Course/Phase-III, IV & V/31-07-2016/Paper-2 HAVE CONTROL HAVE PATIENCE HAVE CONFIDENCE 100% SUCCESS BEWARE OF NEGATIVE MARKING PHYSICS PART-1 : PHYSICS SECTION–I(i) : (Maximum Marks : 18) This section contains SIX questions. Each question has FOUR options (A), (B), (C) and (D). ONLY ONE of these four options is correct. For each question, darken the bubble corresponding to the correct option in the ORS. For each question, marks will be awarded in one of the following categories : Full Marks : +3 If only the bubble corresponding to the correct option is darkened. Zero Marks : 0 If none of the bubbles is darkened. Negative Marks : –1 In all other cases 1. In the figure shown, the speed of the truck is v to the right. The speed with which the block is moving up at = 60° is :- (A) v (B) 2v 3 (C) 3v 4 (D) none 2. A stone is dropped from a building, and 2 seconds later another stone is dropped. (Both are dropped from rest.) How far apart are the two stones by the time the first one has reached a speed of 30 m/s ? (A) 80 m (B) 40 m (C) 60 m (D) 20 m Space for Rough Work 1001CT103516002 E-3/24
PHYSICS Target : JEE (Main + Advanced) 2017/31-07-2016/Paper-2 3. In the arrangement shown in figure, there is friction between the blocks of masses m and 2m which are in contact. The ground is smooth. The mass of the suspended block is m. The block of mass m which is kept on mass 2m is stationary with respect to block of mass 2 m. The force of friction between m and 2m is (pulleys and strings are light and frictionless) : mg mg mg mg (A) 2 (B) 2 (C) 4 (D) 3 4. The conveyor belt is moving at 4 m/s. The coefficient of static friciton between the conveyor belt and the 10 kg package B is s = 0.2. Determine the shortest time in which the belt can be stopped so that the package does not slide on the belt. B (A) 1s (B) 2s (C) 4s (D) 8s Space for Rough Work E-4/24 1001CT103516002
Leader Course/Phase-III, IV & V/31-07-2016/Paper-2 PHYSICS 5. Given system is released from rest when x-coordinate of m1 is 2 meter. Magnitude of acceleration of blocks are a1 and a2 at given instant then :- y (6, 8) p2 m1 p1 m2 y2 = 8x (0, 0) x (A) a1 = a2 (B) a1 > a2 (C) a1 < a2 (D) Data insufficient 6. Two blocks A & B connected by an ideal spring of constant 100 N/m and moving on a smooth horizontal surface under influence of a force of 36 N. What is extension in spring when acceleration of 2kg block is twice that of 5kg block ? 2kg 5kg 36N (A) 4 cm 36 72 (D) 16 cm (B) 7 cm (C) cm 7 Space for Rough Work 1001CT103516002 E-5/24
Target : JEE (Main + Advanced) 2017/31-07-2016/Paper-2 SECTION–I(ii) : (Maximum Marks : 32) PHYSICS This section contains EIGHT questions. Each question has FOUR options (A), (B), (C) and (D). ONE OR MORE THAN ONE of these four option(s) is (are) correct. For each question, darken the bubble(s) corresponding to all the correct option(s) in the ORS For each question, marks will be awarded in one of the following categories : Full Marks : +4 If only the bubble(s) corresponding to all the correct option(s) is (are) darkened. Partial Marks : +1 For darkening a bubble corresponding to each correct option, Provided NO incorrect option is darkened. Zero Marks : 0 If none of the bubbles is darkened. Negative Marks : –2 In all other cases. for example, if (A), (C) and (D) are all the correct options for a question, darkening all these three will result in +4 marks; darkening only (A) and (D) will result in +2 marks; and darkening (A) and (B) will result in –2 marks, as a wrong option is also darkened 7. An elastic spring of force constant k and natural length 3 is cut into two parts so that their 0 natural lengths are 20 and respectively. One end of these springs are attached to points 0 P and Q, on a fixed vertical wall and tied with a block of mass m P m Q (A) In equilibrium the distance of block from the vertical wall is 40/3 (B) In equilibrium the distance of block from the vertical wall is 50/3 (C) The force constant of shorter part of the spring is 3k (D) The force constant of larger part of the spring is 2k/3 8. At any instant elongation in spring-1 (k1) and spring-2 (k2) are 3cm and 1cm respectivily. acceleration of 10kg and 5kg blocks are a1 and a2 at that instant. Consider all surfaces are smooth :- k2 = 1000N/m F 5kg k1 = 2000N/m 10kg (A) a1 = 5m/s2 (B) a1 = 4m/s2 (C) a2 = 4 m/s2 (D) a2 = 2 m/s2 Space for Rough Work E-6/24 1001CT103516002
Leader Course/Phase-III, IV & V/31-07-2016/Paper-2 9. A man start running from rest on a plank with maximum possible acceleration from point A. 50kg 9m PHYSICS µ=0.4 AB 100kg µ=0.1 (A) Plank remain stationary during motion of man (B) Man take 2 sec. to move from A to B (C) Velocity of man w.r.t. ground is 8 m/s when he reaches at point B (D) Acceleration of plank is 1 m / s2 during motion of man 2 10. A boat is traveling due east at 12 m/s. A flag on the boat flaps at 53° North of West. Another flag on the shore flaps due north. (A) Speed of wind with respect to ground is 16 m/s (B) Speed of wind with respect to ground is 20 m/s (C) Speed of wind with respect to boat is 20 m/s (D) Speed of wind with respect to boat is 16 m/s 11. A child sitting on a sleigh slides along an inclined plane of length 2.6 m, which has an angle of elevation of 37°. The total mass of the child and the sleigh is 60 kg, and the coefficient of kinetic friction between the sleigh and the plane is 0.1. 37° (A) The acceleration of sleigh is 5.2 m/s2 (B) If the sleigh starts from rest the final speed of the sleigh after 2.6m displacement is 5.2 m/s. (C) It take 2 sec for the sleigh to reach the bottom of the inclined plane (D) The friction is always acting parallel to the inclined plane Space for Rough Work 1001CT103516002 E-7/24
PHYSICS Target : JEE (Main + Advanced) 2017/31-07-2016/Paper-2 12. All surfaces are smooth, string is light and pulley is frictionless, At given instant mark the correct statement(s) : C2 B5 15N A 10 (A) Acceleration of block A is 1 m/s2 (B) Magnitude of acceleration of block A and B will be same (C) Acceleration of block C is zero (D) Tension in string between pulley and wall is 10 N. 13. A constant horizontal force F is acting on block A, as shown in the figure. Friction between A & horizontal surface is negligible. But friction is present between A & B. Contact surface of A & B is vertical. Due to friction there is no slipping between A & B. Mass of A is 2m and that of B is m & value of F is 6 mg. Then : F AB (A) Friction force on B must be greater than mg (B) Coefficient of friction between A & B must be greater than or equal to 0.5 (C) Coefficient of friction between A & B may be 0.8 (D) Friction force on block B may be greater than mg. 14. Coefficient of friction between the two blocks Q and R is 0.3 whereas the surface AB is smooth 2kg R T1 T2 Q 3kg A B P 10 kg (A) Acceleration of P is 5.86 m/s2 (B) Tension T1 in the string is 17.7 N (C) Tension T2 in the string is about 41.3 N (D) Acceleration of P is 7.55 m/s2 Space for Rough Work E-8/24 1001CT103516002
Leader Course/Phase-III, IV & V/31-07-2016/Paper-2 SECTION–I(iii) : (Maximum Marks : 12) This section contains TWO paragraphs. 2 Based on each paragraph, there are TWO questions. PHYSICS Each question has FOUR options (A), (B), (C) and (D) ONLY ONE of these four options is correct. For each question, darken the bubble corresponding to the correct option in the ORS. For each question, marks will be awarded in one of the following categories : Full Marks : +3 If only the bubble corresponding to the correct answer is darkened. Zero Marks : 0 In all other cases. Paragraph for Questions 15 and 16 Two boats A and B starts from A and B respectively and both boats reaches at point C (exactly in front of B) at different time. Answer the following questions. C 30m raft 4m/s 5m/s 5m/s 1 Ad B 15. The separation between point A and B is equal to :- (A) 30 m (B) 18 m (C) 20 m (D) 24 m 16. Choose the CORRECT statement :- (A) vA / Raft = vB / Raft and vA / ground < vB / ground (B) A / Raft = B / Raft and A / ground > v B / ground v v v (C) v A / Raft > v B / Raft and vA / ground = vB / ground (D) vA / Raft = vB / Raft and vA / ground = vB / ground Space for Rough Work 1001CT103516002 E-9/24
PHYSICS Target : JEE (Main + Advanced) 2017/31-07-2016/Paper-2 Paragraph for Questions 17 and 18 A small block m is kept on a wedge of M. Which is kept on ground. There is no friction anywhere. Answer the following questions. m M 17. Acceleration of M w.r.t. ground will be :- mg sin cos mg sin cos mg sin cos mg sin cos (A) a0 = M m sin2 (B) a0 = M m sin2 (C) a0 = 2M m sin2 (D) a0 = M 2m sin2 18. Choose the CORRECT statement :- (A) aM ground must be greater than am ground (B) aM ground must be less than am ground (C) For some acute value of , m may free fall (D) For some acute value of , M has acceleration greater than g. (acceleration due to gravity) Space for Rough Work E-10/24 1001CT103516002
Leader Course/Phase-III, IV & V/31-07-2016/Paper-2 PART-2 : CHEMISTRY CHEMISTRY SECTION–I(i) : (Maximum Marks : 18) This section contains SIX questions. Each question has FOUR options (A), (B), (C) and (D). ONLY ONE of these four options is correct. For each question, darken the bubble corresponding to the correct option in the ORS. For each question, marks will be awarded in one of the following categories : Full Marks : +3 If only the bubble corresponding to the correct option is darkened. Zero Marks : 0 If none of the bubbles is darkened. Negative Marks : –1 In all other cases 1. Which of the following is correct (A) Systems energy is conserved in every process in a closed system (B) Pressure and temperature are additive variables (C) U =0, for a reversible phase change at constant temperature and pressure (D) q must be zero for an isolated system 2. If 1 mol of a monoatomic gas is expanded isothermally at 300K from 5 atm to 3 atm against a constant pressure of 1 atm then the work done by the gas in the process is - (A) 80 cal (B) 40 cal (C) 120 cal (D) 100 cal 3. Which of the following does not have perfect tetrahedral geometry. (A) NH4+ (B) BF4– (C) CH2Cl2 (D) ClO4– 4. Which of the following statement is INCORRECT about PCl3F2. (A) Molecule is non polar (B) P–F bond length is greater than P–Cl bond length (C) Axial hybrid orbital length is greater than that of equitorial hybrid orbital length (D) All F– Pˆ –Cl bond angles are equal Space for Rough Work 1001CT103516002 E-11/24
CHEMISTRY Target : JEE (Main + Advanced) 2017/31-07-2016/Paper-2 5. Number of contributing structures showing hyperconjugation (involving C–H bonds) for the following carbocation is : H3C CH2CH3 (A) 5 (B) 6 (C) 7 (D) 8 OP RO C 6. C HO Q S O– Select correct order of bond length of above bond P, Q, R & S : (A) P > R > S > Q (B) Q > R = S > P (C) S > Q > R > P (D) None of these Space for Rough Work E-12/24 1001CT103516002
Leader Course/Phase-III, IV & V/31-07-2016/Paper-2 SECTION–I(ii) : (Maximum Marks : 32) CHEMISTRY This section contains EIGHT questions. Each question has FOUR options (A), (B), (C) and (D). ONE OR MORE THAN ONE of these four option(s) is (are) correct. For each question, darken the bubble(s) corresponding to all the correct option(s) in the ORS For each question, marks will be awarded in one of the following categories : Full Marks : +4 If only the bubble(s) corresponding to all the correct option(s) is (are) darkened. Partial Marks : +1 For darkening a bubble corresponding to each correct option, Provided NO incorrect option is darkened. Zero Marks : 0 If none of the bubbles is darkened. Negative Marks : –2 In all other cases. for example, if (A), (C) and (D) are all the correct options for a question, darkening all these three will result in +4 marks; darkening only (A) and (D) will result in +2 marks; and darkening (A) and (B) will result in –2 marks, as a wrong option is also darkened 7. One mol of Argon is expanded in a polytropic processs the polytropic index is 2.0. In the process the gas temperature increased by (20K). Which of the following is/are correct. (A) The internal energy changes by 60 cal (B) The work done on the gas is 40 cal (C) The amount of heat released by the gas is 20 cal (D) The amount of heat absorbed by the gas is 20 cal 8. If an ideal gas is subjected to isothermal free expansion then which of the following are correct - (A) U = 0 (B) H = 0 (C) q = 0 (D) S = 0 9. 6 mol of N2(g) and 20 moles of H2(g) are placed in a container. The number of moles of ammonia with 25% yield of reaction is - (A) 12 (B) 6 (C) 4 (D) 3 Space for Rough Work 1001CT103516002 E-13/24
Target : JEE (Main + Advanced) 2017/31-07-2016/Paper-2 CHEMISTRY10. In which of the following -bond(s) is/are formed by 4p-1s overlapping of two atoms :- (A) GeH4 (B) AsH3 (C) H2Se (D) HCl 11. Which of the following is/are planar :- (A) I3+ (B) I3– (C) IF3 (D) ICl4– 12. Select the order which is correct among following : (A) > > > (Stability of alkene) – (B) >+ > – + (Stability order of resonating structure) N N N H H H (C) – < < O– (Stability order) NN – CH3 : :: :: : : (D) NN (Basic strength order) N << H ON H Space for Rough Work E-14/24 1001CT103516002
Leader Course/Phase-III, IV & V/31-07-2016/Paper-2 CHEMISTRY 13. Select the correct option in which order match with compounds given : (A) Order of heat of combution : >> (B) Order of acidic strength : CH(NO2)3 > CHCl3 > CHF3 OH OH OH (C) Order of acidic strength : >> CN NO2 NH2 NH2 NH2 (D) Kb order : >> 14. Select correct order among following : OO OO (A) MeO–C –CH=CH–C –OMe > MeO–C –CH=CH–O–C –Me (C=C rotational energy barier) (B) > > (Heat of hydrogenation) (+M effect) (C) –NH2 > –OH > –O– C –CH3 (–I effect) O ++ (D) –NH3 > –N(CH3)3 > –NO2 Space for Rough Work 1001CT103516002 E-15/24
Target : JEE (Main + Advanced) 2017/31-07-2016/Paper-2 CHEMISTRY SECTION–I(iii) : (Maximum Marks : 12) This section contains TWO paragraphs. Based on each paragraph, there are TWO questions. Each question has FOUR options (A), (B), (C) and (D) ONLY ONE of these four options is correct. For each question, darken the bubble corresponding to the correct option in the ORS. For each question, marks will be awarded in one of the following categories : Full Marks : +3 If only the bubble corresponding to the correct answer is darkened. Zero Marks : 0 In all other cases. Paragraph for Questions 15 and 16 1 mol of a real gas is placed in an adiabatic container during expansion against external pressure of 1 atm it moves from (5atm, 10 litre) to (2atm, 30 litre) and then against a constant pressure of 10 atm it moves from (2 atm, 30 litre) to (10 atm, 4 litre). 15. The change in internal energy during the whole process is - (A) zero (B) +260 litre atm (C) +240 litre atm (D) +200 litre atm 16. The change in enthalpy during the whole process is - (A) zero (B) 260 litre atm (C) 240 litre atm (D) 230 litre atm Space for Rough Work E-16/24 1001CT103516002
Leader Course/Phase-III, IV & V/31-07-2016/Paper-2 Paragraph for Questions 17 and 18 CHEMISTRY It is defined as the angle between the orbitals containing bonding electron pairs around the central atom in a molecule/complex ion. Bond angle is expressed in degree which can be experimentally determined by spectroscopic methods. 17. What is the bond angle of NO2– :- (A) 115° (B) 120° (C) 134° (D) 107° 18. Which of the following order of bond angle is INCORRECT :- (A) PH3 < PH4+ (B) NH3 < NH4+ (C) CH3– < CH3+ (D) NH3 <NF3 Space for Rough Work 1001CT103516002 E-17/24
Target : JEE (Main + Advanced) 2017/31-07-2016/Paper-2 MATHEMATICS PART-3 : MATHEMATICS SECTION–I(i) : (Maximum Marks : 18) This section contains SIX questions. Each question has FOUR options (A), (B), (C) and (D). ONLY ONE of these four options is correct. For each question, darken the bubble corresponding to the correct option in the ORS. For each question, marks will be awarded in one of the following categories : Full Marks : +3 If only the bubble corresponding to the correct option is darkened. Zero Marks : 0 If none of the bubbles is darkened. Negative Marks : –1 In all other cases 1. If x log e 1 , then the value of e2nx equals - tan15 n 0 1 n .e2nx n0 (A) 3 (B) 1 3 1 3 1 3 (C) (D) 3 1 3 1 2. Let x,y,z be non zero real numbers. Define E |x y| |x z| |y z| , then range of E |x||y| |x||z| |y||z| is- (A) (0,3] (B) [1,3] (C) (1,3] (D) [0,3] 3. Let x,y,z be positive real numbers, then the least value of x 1 y y 1 z z 1 x is xyz equal to- (B) 6 (C) 1 (D) 3 (A) 9 6 2 Space for Rough Work E-18/24 1001CT103516002
Leader Course/Phase-III, IV & V/31-07-2016/Paper-2 MATHEMATICS 4. If x2 + 2ax + 3a < 0 x [1,2], then range of 'a' is- (A) , 4 (B) (, 4] (C) , 1 (D) ,1 7 5 5. Complete set of values of x in (0,) satisfying the inequality 1 + log2(–cosx) + log2cos3x > 0, is- (A) , 3 (B) , 5 (C) 3 , 5 (D) 2 , 3 2 4 2 6 4 6 3 4 6. If inside a big circle, exactly n(n > 3) small circles, each of radius r, can be drawn in such a way that each small circle touches the big circle and also touches both its adjacent small circles (as shown in the figure), then the radius of big circle is- (A) r cosec (B) r 1 cosec 2 n n (C) r 1 cosec (D) r 1 cosec 2n n Space for Rough Work 1001CT103516002 E-19/24
Target : JEE (Main + Advanced) 2017/31-07-2016/Paper-2 MATHEMATICS SECTION–I(ii) : (Maximum Marks : 32) This section contains EIGHT questions. Each question has FOUR options (A), (B), (C) and (D). ONE OR MORE THAN ONE of these four option(s) is (are) correct. For each question, darken the bubble(s) corresponding to all the correct option(s) in the ORS For each question, marks will be awarded in one of the following categories : Full Marks : +4 If only the bubble(s) corresponding to all the correct option(s) is (are) darkened. Partial Marks : +1 For darkening a bubble corresponding to each correct option, Provided NO incorrect option is darkened. Zero Marks : 0 If none of the bubbles is darkened. Negative Marks : –2 In all other cases. for example, if (A), (C) and (D) are all the correct options for a question, darkening all these three will result in +4 marks; darkening only (A) and (D) will result in +2 marks; and darkening (A) and (B) will result in –2 marks, as a wrong option is also darkened 7. In a triangle ABC if sin2 A sin2 B sin2 C 2 ; then- cos2 A cos2 B cos2 C (A) maximum value of sinA + sinB + sinC is 1 2 (B) maximum value of sinA + sinB + sinC is 3 3 2 (C) sin 2A sin 2Bsin 2C 0 sin 2A sin 2B sin 2C (D) sin 2A sin 2B sin 2C 1 sin 2A sin 2B sin 2C 3 8. If 4cos –3sec = 2tan, then can be equal to- (A) n 1n (B) n 1n (C) n 1n 3 (D) n 10 6 10 (where n I) 9. Let S = logabc + logbca + logcab where a,b,c are real numbers greater than 1, then 'S' can be equal to- (A) 4 (B) 6 (C) 3 (D) 8 Space for Rough Work E-20/24 1001CT103516002
Leader Course/Phase-III, IV & V/31-07-2016/Paper-2 10. If a + 3b + 9c = 0, ac < 0 and one root of the equation ax2 + bx + c = 0 is square of the other, then- MATHEMATICS (A) a and b have same sign (B) b and c have opposite sign (C) both roots are rational (D) a,b,c are irrational 11. The sum of first n terms (n > 2) of an A.P. is 77 and common difference is 2. If the first term is an integer, then- (A) number of possible values of n is 4. (B) number of possible values of n is 3. (C) first term of given A.P. can be 5. (D) first term of given A.P. can be –3. 12. Let 1,2,......n be the interior angles of an n-sided convex polygon. Define E cos1 2 .... k k cos k1 k2 ... n where cos i 0 for any k = 1,2,.....n–1, then which of the i1 following is/are incorrect ? (A) E is independent of both k and n. (B) E is independent of k but depends on n. (C) E is independent of n but depends on k. (D) E is depends on both k and n. 13. Let a cos cos 2 .... cos 999 1000 1000 1000 b sin2 sin2 2 sin2 3 ... sin2 100 and the quadratic equation having 101 101 101 101 roots 'a' and 'b' is 2x2 + x + = 0, then- (A) = –101 (B) = –50 (C) = 50 (D) = 0 14. If a,b,c,d are four distinct positive numbers in H.P., then- (A) a2 + c2 > 2b2 (B) b3 + d3 > 2c3 (C) a5 + c5 > b5 (D) a + d > b + c Space for Rough Work 1001CT103516002 E-21/24
Target : JEE (Main + Advanced) 2017/31-07-2016/Paper-2 MATHEMATICS SECTION–I(iii) : (Maximum Marks : 12) This section contains TWO paragraphs. Based on each paragraph, there are TWO questions. Each question has FOUR options (A), (B), (C) and (D) ONLY ONE of these four options is correct. For each question, darken the bubble corresponding to the correct option in the ORS. For each question, marks will be awarded in one of the following categories : Full Marks : +3 If only the bubble corresponding to the correct answer is darkened. Zero Marks : 0 In all other cases. Paragraph for Questions 15 and 16 Roots of equation ƒ(x) = 0 are the x-coordinate of those points where the graph of y = ƒ(x) crosses or touches the x-axis. Given ƒ(x) = x2 + (1 – 2)x + (2 – – 2) 15. If the equation ƒ(x) = 0 has one root greater than 3 and other root smaller than 2, then range of is- (A) (2,5) (B) (1,4) (C) (1,5) (D) (2,4) 16. If one root of ƒ(x) = 0 is positive and other is negative, then number of integral value(s) of is- (A) 0 (B) 1 (C) 2 (D) 3 Paragraph for Questions 17 and 18 Given < an> is a sequence of real numbers for which a1 = 0, a2 = 1 and for n > 3, an = an–1–an–2, then 17. a2016 is equal to - (A) 0 (B) 1 (C) –1 (D) none of these 18. Sum of first 100 terms of the sequence is - (A) 2 (B) –2 (C) 1 (D) –1 Space for Rough Work E-22/24 1001CT103516002
Leader Course/Phase-III, IV & V/31-07-2016/Paper-2 Space for Rough Work 1001CT103516002 E-23/24
Target : JEE (Main + Advanced) 2017/31-07-2016/Paper-2 QUESTION PAPER FORMAT AND MARKING SCHEME : 16. The question paper has three parts : Physics, Chemistry and Mathematics. 17. Each part has one section as detailed in the following table. Que. No. Category-wise Marks for Each Question Maximum Section Type of Full Partial Zero Negative Marks of the Que. Marks Marks Marks Marks section +3 0 –1 In all I(i) Single If only the bubble If none other cases correct option 6 corresponding to — of the 18 the correct option bubbles is is darkened darkened +4 +1 0 –2 In all One or more If only the bubble(s) For darkening a bubble If none other cases I(ii) correct 8 corresponding corresponding toeach of the 32 option(s) to all the correct correct option, provided bubbles is option(s) is(are) NO incorrect option darkened darkened darkened I(iii) Paragraph +3 — 0 — 12 Based If only the bubble In all (Single 4 corresponding to other correct the correct option cases option) is darkened NAME OF THE CANDIDATE ................................................................................................ FORM NO. ............................................. I have read all the instructions I have verified the identity, name and Form and shall abide by them. number of the candidate, and that question paper and ORS codes are the same. ____________________________ ____________________________ Signature of the Candidate Signature of the invigilator Corporate Office : CAREER INSTITUTE, “SANKALP”, CP-6, Indra Vihar, Kota (Rajasthan)-324005 +91-744-5156100 [email protected] www.allen.ac.in E-24/24 Your Target is to secure Good Rank in JEE 2017 1001CT103516002
Paper Code : 1001CT103516002 CLASSROOM CONTACT PROGRAMME (Academic Session : 2016 - 2017) HINDI JEE (Main + Advanced) : LEADER COURSE Test Type : MINOR PHASE : III, IV & V Test Pattern : JEE-Advanced TEST DATE : 31 - 07 - 2016 Time : 3 Hours PAPER – 2 Maximum Marks : 186 1. 2. (ORS) 3. 4. 5. 2418 6. 7. 8. 9. : 10. 11. 12. : 13. 14. 15. g = 10 m/s2
Target : JEE (Main + Advanced) 2017/31-07-2016/Paper-2 Atomic No. SOME USEFUL CONSTANTS Atomic masses : H = 1, B = 5, C = 6, N = 7, O = 8, F = 9, Al = 13, P = 15, S = 16, Cl = 17, Br = 35, Xe = 54, Ce = 58, H = 1, Li = 7, B = 11, C = 12, N = 14, O = 16, F = 19, Na = 23, Mg = 24, Al = 27, P = 31, S = 32, Cl = 35.5, Ca=40, Fe = 56, Br = 80, I = 127, Xe = 131, Ba=137, Ce = 140, Boltzmann constant k = 1.38 × 10–23 JK–1 Coulomb's law constant 1 = 9 ×109 Universal gravitational constant 4 0 Speed of light in vacuum Stefan–Boltzmann constant G = 6.67259 × 10–11 N–m2 kg–2 Wien's displacement law constant c = 3 × 108 ms–1 Permeability of vacuum = 5.67 × 10–8 Wm–2–K–4 b = 2.89 × 10–3 m–K Permittivity of vacuum µ0 = 4 × 10–7 NA–2 Planck constant 1 0 = 0c2 h = 6.63 × 10–34 J–s H-2/24 1001CT103516002
Leader Course/Phase-III, IV & V/31-07-2016/Paper-2 PHYSICS HAVE CONTROL HAVE PATIENCE HAVE CONFIDENCE 100% SUCCESS BEWARE OF NEGATIVE MARKING -1: –I(i) : ( : 18) (A), (B), (C) (D) : +3 : 0 : –1 1. v=60° (A) v (B) 2v 3 (C) 3v 4 (D) none 2. 2sec 30 m/s (A) 80 m (B) 40 m (C) 60 m (D) 20 m 1001CT103516002 H-3/24
PHYSICS Target : JEE (Main + Advanced) 2017/31-07-2016/Paper-2 3. m2m m2m m2m m 2m mg mg mg mg (A) 2 (B) 2 (C) 4 (D) 3 4. 4m/s10kgB s = 0.2 B (A) 1s (B) 2s (C) 4s (D) 8s H-4/24 1001CT103516002
Leader Course/Phase-III, IV & V/31-07-2016/Paper-2PHYSICS 5. m1x-2 a1 a2 y (6, 8) p2 m1 p1 m2 y2 = 8x (0, 0) x (A) a1 = a2 (B) a1 > a2 (C) a1 < a2 (D) 6. AB, 100 N/m 36 N 2kg5kg ? 2kg 5kg 36N (A) 4 cm 36 72 (D) 16 cm (B) 7 cm (C) cm 7 1001CT103516002 H-5/24
Target : JEE (Main + Advanced) 2017/31-07-2016/Paper-2 PHYSICS –I(ii) : ( : 32) (A), (B), (C) (D) : +4 : +1 : 0 : –2 (A),(C) (D ) +4 (A)(D ) + 2 (A) (B ) –2 7. k 30 20 PQ 0 m P m Q (A) 40/3 (B) 50/3 (C) 3k (D) 2k/3 8. -1(k1)-2(k2) 3cm 1cm 10kg 5kg a1a2 k2 = 1000N/m F 5kg k1 = 2000N/m 10kg (A) a1 = 5m/s2 (B) a1 = 4m/s2 (C) a2 = 4 m/s2 (D) a2 = 2 m/s2 H-6/24 1001CT103516002
Leader Course/Phase-III, IV & V/31-07-2016/Paper-2 9. A PHYSICS 9m 50kg µ=0.4 AB 100kg µ=0.1 (A) (B) AB 2sec (C) B8m/s (D) 1m/s2 2 10. 12m/s 53° (A) 16m/s (B) 20m/s (C) 20m/s (D) 16m/s 11. 2.6m37° 60kg 0.1 37° (A) 5.2m/s2 (B) 2.6m5.2 m/s (C) 2sec (D) 1001CT103516002 H-7/24
PHYSICS Target : JEE (Main + Advanced) 2017/31-07-2016/Paper-2 12. C2 B5 15N A 10 (A) A 1m/s2 (B) A B (C) C (D) 10N 13. F AAAB AB AB A 2m BmF6 mg F AB (A) Bmg (B) A B 0.5 (C) A B 0.8 (D) B mg 14. QR0.3AB 2kg R T1 T2 Q 3kg A B P 10 kg (A) P 5.86 m/s2 (B) T117.7 N (C) T241.3 N (D) P 7.55 m/s2 H-8/24 1001CT103516002
Leader Course/Phase-III, IV & V/31-07-2016/Paper-2 –I(iii) : ( : 12) (A), (B), (C) (D ) : +3 : 0 15 16 ABA B B C 2 C raft PHYSICS 30m 5m/s 4m/s 5m/s 1 Ad B 15. A B (A) 30 m (B) 18 m (C) 20 m (D) 24 m 16. v A / ground < v B / ground (A) vA / Raft = vB / Raft = vA / ground > (B) vA / Raft vB / Raft vB / ground (C) v A / Raft > v B/ Raft vA / ground = v B / ground v A / ground (D) vA / Raft = vB / Raft = vB / ground 1001CT103516002 H-9/24
PHYSICS Target : JEE (Main + Advanced) 2017/31-07-2016/Paper-2 17 18 M m m M 17. M mg sin cos mg sin cos mg sin cos mg sin cos (A) a0 = M m sin2 (B) a0 = M m sin2 (C) a0 = 2M m sin2 (D) a0 = M 2m sin2 18. (A) aM ground am ground (B) aM ground am ground (C) m (D) M g H-10/24 1001CT103516002
Leader Course/Phase-III, IV & V/31-07-2016/Paper-2 -2: CHEMISTRY –I(i) : ( : 18) (A), (B), (C) (D) : +3 : 0 : –1 1. (A) (B) (C) U =0 (D) q 2. 300K 1 1atm 5 atm 3 atm (A) 80 cal (B) 40 cal (C) 120 cal (D) 100 cal 3. (A) NH4+ (B) BF4– (C) CH2Cl2 (D) ClO4– 4. PCl3F2 (A) (B) P–Cl P–F (C) (D) F– Pˆ –Cl 1001CT103516002 H-11/24
CHEMISTRY Target : JEE (Main + Advanced) 2017/31-07-2016/Paper-2 5. C–Hcontributing H3C CH2CH3 (A) 5 (B) 6 (C) 7 (D) 8 OP RO C 6. C HO Q S O– P,Q, R S (A) P > R > S > Q (B) Q > R = S > P (C) S > Q > R > P (D) H-12/24 1001CT103516002
Leader Course/Phase-III, IV & V/31-07-2016/Paper-2CHEMISTRY –I(ii) : ( : 32) (A), (B), (C) (D) : +4 : +1 : 0 : –2 (A),(C) (D ) +4 (A)(D ) +2(A ) (B) –2 7. 2.0 (20K) (A) 60ca l (B) 40 cal (C) 20cal (D) 20cal 8. - (A) U = 0 (B) H = 0 (C) q = 0 (D) S = 0 9. 6 mol N2(g) 20 H 2(g) 25% - (A) 12 (B) 6 (C) 4 (D) 3 10. 4p-1s-:- (A) GeH4 (B) AsH3 (C) H2Se (D) HCl 11. :- (A) I3+ (B) I3– (C) IF3 (D) ICl4– 1001CT103516002 H-13/24
CHEMISTRY12. Target : JEE (Main + Advanced) 2017/31-07-2016/Paper-2 (A) > > > – (B) >+ > – + N N N H H H (C) – < < O– NN – CH3 : :: :: : : (D) NN N << ON HH 13. (A) : >> (B) : CH(NO2)3 > CHCl3 > CHF3 (C) OH OH OH (D) Kb : >> CN NO2 NH2 NH2 NH2 : >> H-14/24 1001CT103516002
Leader Course/Phase-III, IV & V/31-07-2016/Paper-2 14. CHEMISTRY OO OO (A) MeO–C –CH=CH–C –OMe > MeO–C –CH=CH–O–C –Me C=C (B) > > (C) –NH2 > –OH > –O– C –CH3 +M O –I ++ (D) –NH3 > –N(CH3)3 > –NO2 1001CT103516002 H-15/24
CHEMISTRY Target : JEE (Main + Advanced) 2017/31-07-2016/Paper-2 –I(iii) : ( : 12) (A), (B), (C) (D ) : +3 : 0 15 16 1 1atm (5atm, 10 ) (2atm, 30 ) 10atm (2 atm, 30 )(10 atm, 4 ) 15. (A) (B) +260 litre atm (C) +240 litre atm (D) +200 litre atm 16. (A) (B) 260 litre atm (C) 240 litre atm (D) 230 litre atm H-16/24 1001CT103516002
Leader Course/Phase-III, IV & V/31-07-2016/Paper-2CHEMISTRY 17 18 / 17. NO2– (A) 115° (B) 120° (C) 134° (D) 107° 18. :- (A) PH3 < PH4+ (B) NH3 < NH4+ (C) CH3– < CH3+ (D) NH3 <NF3 1001CT103516002 H-17/24
MATHEMATICS Target : JEE (Main + Advanced) 2017/31-07-2016/Paper-2 -3: –I(i) : ( : 18) (A), (B), (C) (D) : +3 : 0 : –1 e2nx n0 1 n .e2nx 1. x log e 1 - 15tan n0 (A) 3 (B) 1 3 1 3 1 3 (C) (D) 3 1 3 1 2. x,y,z E|xy| |x z| |y z| E- |x||y| |x||z| |y||z| (A) (0,3] (B) [1,3] (C) (1,3] (D) [0,3] 3. x,y,z x1y y 1 z z 1 x - xyz 9 (B) 6 1 (D) 3 (A) 2 (C) 6 H-18/24 1001CT103516002
Leader Course/Phase-III, IV & V/31-07-2016/Paper-2 MATHEMATICS 4. x2 + 2ax + 3a < 0 x [1,2] 'a' - (A) , 4 (B) (, 4] (C) , 1 (D) ,1 7 5 5. (0,) x 1+log2(–cosx) + log2cos3x > 0 - (A) , 3 (B) , 5 (C) 3 , 5 (D) 2 , 3 2 4 2 6 4 6 3 4 6. n(n>3) r, - (A) r cosec (B) r 1 cosec 2 n n (C) r 1 cosec (D) r 1 cosec 2n n 1001CT103516002 H-19/24
Target : JEE (Main + Advanced) 2017/31-07-2016/Paper-2 MATHEMATICS –I(ii) : ( : 32) (A), (B), (C) (D) : +4 : +1 : 0 : –2 (A),(C) (D ) +4 (A)(D ) +2(A ) (B) –2 7. ABC scions22 A sin2 B sin2 C 2 - A cos2 B cos2 C (A) sinA + sinB + sinC 1 2 (B) sinA + sinB + sinC 3 3 2 (C) sin 2A sin 2Bsin 2C 0 sin 2A sin 2B sin 2C (D) sin 2A sin 2B sin 2C 1 sin 2A sin 2B sin 2C 3 8. 4cos –3sec = 2tan - (A) n 1n (B) n 1n (C) n 1n 3 (D) n 10 6 10 (n I) 9. S= logabc + logbca + logcab a,b,c 1 'S' - (A) 4 (B) 6 (C) 3 (D) 8 H-20/24 1001CT103516002
Leader Course/Phase-III, IV & V/31-07-2016/Paper-2 10. a + 3b + 9c = 0, ac < 0 ax2 + bx + c = 0 - MATHEMATICS (A) a b (B) b c (C) (D) a,b,c 11. n(n> 2) 77 2- (A) n 4 (B) n 3 (C) 5 (D) –3 12. 1,2,......n, n-Ecos12.... k cos k1 k2 ... n k= 1,2,.....n – 1 cos k i 0 i1 (A) E, k n (B) E, k n (C) E, n k (D) E, k n 13. a cos cos 2 .... cos 999 1000 1000 1000 b sin 2 sin2 2 sin2 3 ... sin2 100 'a''b' 101 101 101 101 2x2 + x + = 0 - (A) = –101 (B) = –50 (C) = 50 (D) = 0 14. a,b,c,d- (A) a2 + c2 > 2b2 (B) b3 + d3 > 2c3 (C) a5 + c5 > b5 (D) a + d > b + c 1001CT103516002 H-21/24
Target : JEE (Main + Advanced) 2017/31-07-2016/Paper-2 MATHEMATICS –I(iii) : ( : 12) (A), (B), (C) (D ) : +3 : 0 15 16 ƒ(x) = 0 x-y= ƒ(x)x- ƒ(x ) = x2 + (1 – 2)x + (2 – – 2) 15. ƒ(x) = 0 32- (A) (2,5) (B) (1,4) (C) (1,5) (D) (2,4) 16. ƒ(x) = 0 - (A) 0 (B) 1 (C) 2 (D) 3 17 18 < an>, a1= 0,a2 = 1 n> 3 an = an–1–an–2 17. a2016 - (A) 0 (B) 1 (C) –1 (D) 18. 100 - (A) 2 (B) –2 (C) 1 (D) –1 H-22/24 1001CT103516002
Leader Course/Phase-III, IV & V/31-07-2016/Paper-2 1001CT103516002 H-23/24
Target : JEE (Main + Advanced) 2017/31-07-2016/Paper-2 16. 17. I(i) I(ii) I(iii) +3 0 –1 6 — 18 +4 +1 0 –2 8 32 +3 0 4 — — 12 ................................................................................................ ............................................. ____________________________ ____________________________ Corporate Office : CAREER INSTITUTE, “SANKALP”, CP-6, Indra Vihar, Kota (Rajasthan)-324005 +91-744-5156100 [email protected] www.allen.ac.in H-24/24 Your Target is to secure Good Rank in JEE 2017 1001CT103516002
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