PHYSICS, CHEMISTRY & MATHEMATICS. Time Allotted: 3 Hours Maximum Marks: 210

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1 FIITJEE PHYSICS, CHEMISTRY & MATHEMATICS CPT - 1 CDE: PAPER - 1 Time Allotted: Hours Maximum Marks: 10 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. INSTRUCTINS BATCHES 1719 Caution: Question Paper CDE as given above MUST be correctly marked in the answer MR sheet before attempting the paper. Wrong CDE or no CDE will give wrong results. A. General Instructions 1. Attempt ALL the questions. Answers have to be marked on the MR sheets.. This question paper contains Three Sections.. Section-I is Physics, Section-II is Chemistry and Section-III is Mathematics. 4. Each Section is further divided into Two Parts: Part-A & C 5. Rough spaces are provided for rough work inside the question paper. No additional sheets will be provided for rough work. 6. Blank Papers, clip boards, log tables, slide rule, calculator, cellular phones, pagers and electronic devices, in any form, are not allowed. B. Filling of MR Sheet 1. Ensure matching of MR sheet with the Question paper before you start marking your answers on MR sheet.. n the MR 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.. MR sheet contains alphabets, numerals & special characters for marking answers. C. Marking Scheme For All Two Parts. (i) Part-A (01 10) contains 10 multiple choice questions which have one or more than one correct answer. Each question carries +4 marks and mark for wrong answer. (ii) Part-C (01 10) contains 10 Numerical based questions with single digit integer as answer, ranging from 0 to 9 (both inclusive) and each question carries + marks for correct answer and 1 mark for wrong answer. Name of the Candidate : Batch : Date of Examination : Enrolment Number :

2 SECTIN-I (Physics) Part-A (01 10) contains 10 multiple choice questions which have one or more than one correct answer. Each question carries +4 marks and mark for wrong answer. 1. In the circuit shown in the figure, the current through (A) the resistor is 0.50 A (B) the resistor is 0.5 A (C) the 4 resistor is 0.50 A (D) the 4 resistor is 0.5 A 9 V In x-y plane magnetic field and electric field is present, a charged particle is projected from P with speed v 0 and speed at q is v 0. If mass of particle is m 0 then [w E work done by electric field ; w B work done by magnetic field] y P Q x a. wb 0 b. w mv c. E 0 V 0 wb we mv0 d. w mv B 0. Two infinite wires carrying current i 1 and i are lying along x and y axes, as shown in the x y plane. Then (A) Locus of points where magnetic field B is zero is a circle (B) Locus of points where magnetic field B is zero is a straight line (C) Magnetic field B decays hyperbolically along any line parallel x axis (D) Magnetic field B decays hyperbolically along any line parallel to y axis y i i 1 x

3 4. An uncharged capacitor is charged through battery. Switch is closed and reopened when potential difference across capacitor becomes V/. V C R a. Time constant while charging is b. Work done by battery is CV c. Heat generated in resistance R is d. None of these R RC CV 5. A particle of mass m and charge q, moving with velocity V enters Region II normal to the boundary as shown in figure. Region II has a uniform magnetic field B perpendicular to the plane of the paper. The length of the Region II is. Choose the correct choice(s). (A) The particle enters Region III only if its velocity V > qb m (B) The particle enters Region III only if its velocity V < qb m. (C) Path length of the particle in Region II is maximum when velocity V = qb m (D) Time spent in Region II is same for any velocity V as long as the particle returns to Region I. Region I V Region II X X X X X X X X X X X X X X X X X X X X Region III 6. Velocity and acceleration vector of a charged particle moving in a magnetic field at some instant are v i ˆ 4j ˆ and a j ˆ xj. ˆ Select the correct options (A) x = 1.5 (B) x = (C) Magnetic field is along z-direction (D) Kinetic energy of the particle is constant

4 4 7. An equilateral triangular loop PQR of side l carries a currents I in the direction shown. The loop is kept in uniform magnetic field B, directed parallel to the base of triangle QR as shown. Net force F and torque acting on loop is (A) F = 0 (B) F = ilb Q P R B (C) = 0 (D) l ib 4 8. In the given circuit the current flowing through the resistor 0 ohm is 0. amp. While ammeter reads 0.8 amp. Value of R 1 is : (A) 0 ohm (C) 50 ohm (B) 40 ohm (D) 60 ohm R A 9. Three identical plates of area A are arranged as shown. a charge +Q is given to plate (). Then, (A) charge +Q/ appears on plate 1 (B) charge Q/ appears on plate 1 (C) charge Q/ appears on plate (D) charge on plate 1 + charge on plate = 0 (1) () () d d 10. A non-conducting ring of mass m and radius R is placed on rough surface. Two point charge q and q fixed at highest point and lowest point of ring. At timet 0 uniform electric field E o in horizontal direction and parallel to plane of ring is switched on. Ring starts rolling for 1.5qEo (A) μ qeo / mg (B) μ qeo / mg (C) μ qeo / mg (D) μ mg Space for Rough Work

5 5 Part-C (01 10) contains 10 Numerical based questions with single digit integer as answer, ranging from 0 to 9 (both inclusive) and each question carries + marks for correct answer and 1 mark for wrong answer. 1. A capacitor of capacity C 1 = 1.0 F withstands the maximum voltage V 1 = 6kV while another capacitor of capacitance C = F withstands the maximum voltage V = 4 kv. What maximum voltage (In kv) will the system of these two capacitors withstand if they are connected in series?. Potential difference (in volt) between points P and Q is P 1A v C=1F + q = c Q. A charged particle +q of mass m is placed at a distance d from another charged particle -q of mass m in a uniform magnetic field B as shown in figure. If the particle are projected towards each other with equal speed of Vm where Vm is the maximum value for which the two particles do not collide, then the time after which collision occurs between the particles m is found to be where value of n is nqb q,m q,m Vm Vm d 4. An infinite charged sheet has C/m surface charge density. How far (in mm) are the equipotential surfaces differing by.5 volts. 5. When a voltmeter, as shown in n the figure is connected across a resistance, it reads 5 volts. Find the internal resistance of the voltmeter (in ohm). A 0 V B V 6. A semicircular ring of radius R carrying current i is placed in a magnetic field of intensity B so that plane of wire is perpendicular to magnetic field as shown. Net force acting on the ring is KBiR. Find the value of K. i B 7. A hollow charged metal sphere has a radius r. If the potential difference between its surface and a point at distance r from its centre is V then the electric intensity at V distance r from the centre is. Find the value of. r

6 6 8. A 100 pf capacitor is charged to a potential difference of 4 V. It is connected to an uncharged capacitor of 0 pf. The new potential difference across the 100 pf capacitor is 10 K volt. Find the value of K. 9. In the circuit shown, in steady state,charge across 4 F capacitor is (in F) F F 4F 9V 10. An electron accelerated by a potential difference V = 1.0 kv moves in a uniform magnetic field at an angle = 0 to the vector B whose modulus is B = 9 mt. Find the pitch of the helical trajectory of the electron. 1V Space for Rough Work

7 7 SECTIN-II (Chemistry) Part-A (01 10) contains 10 multiple choice questions which have one or more than one correct answer. Each question carries +4 marks and mark for wrong answer. 1. Pyrimidine bases present in DNA are (A) cytosine (C) thymine (B) guanine (D) adenine. Which of the following compound(s) on reduction with LiAlH 4 forms ethanol?. (A) CH CH (B) CH CC H 5 (C) CH CH (D) CH CH CN Y i AgCN i KCN CH Cl X ii LiAlH4 ii LiAlH4 Choose correct statement(s) regarding the above reaction (A) Product(s) (X) and (Y) are functional isomers (B) (X) is more basic than (Y) (C) (Y) is more basic than (X) (D) (X) and (Y) contain same number of carbon atoms 4. Which of the following substance(s) on hydrolysis form(s) carboxylic acids? (A) CH CN (B) CH CCl (C) CH CH CHCl (D) CH CNH 5. Which of the following nucleophiles are stronger than NH? (A) NH (B) CH (C) H (D) H 6. Identify the reagents that can perform this conversion successfully (A) H,Raney Ni (B) Mg,THF,H (C) NaBH 4,H (D) H C H, H

8 8 7. The correct statement(s) about the following reaction sequence is/are (A) R gives an aldol condensation reaction on heating with NaH solution (B) The compounds Q gives a yellow p.pt in acetone (C) step (4) is an aromatic nucleophillic substitution reaction (D) the end product is a mixture of three compounds. 8. Which of the following products is/are correctly mentioned in the following reactions NaD (A) HCH HCNa CH D NaH (B) HCD DCNa CH DH NaH (C) HCD HCNa CHD H NaD (D) D C DCNa CD D 9. Cl N ( I ) ( II ) What is/are correct statement about I & II? (A) Both Cl and N are deactivating groups (B) Both are meta-directing (C) Both are ortho-para directing (D) Cl is ortho directing while N is meta directing 10. Which is/are reducing sugars? (A) Glucose (C) Galactose (B) Fructose (D) Mannose Space for Rough Work

9 9 Part-C (01 10) contains 10 Numerical based questions with single digit integer as answer, ranging from 0 to 9 (both inclusive) and each question carries + marks for correct answer and 1 mark for wrong answer. CH 1. H C CH How many maximum moles of HI is needed for complete reaction of one mole of the above compound? NaH. CH CH CH CCH Pr oduct s How many aldol product(s) is/are formed in the above reaction?. HC HC CH CH Heat Pr oduct How many oxygen atom(s) is/are present in the organic product of above reaction? 4. What is the sum of number of equivalents of glucose and phenyl hydrazine required to prepare one equivalent of glucosazone? 5. C CH CH CH How many maximum number of moles of CH MgBr can be consumed by one mole of above compound? 6. How many of the following substances evolve C gas on heating? CH CH CH, CH (CH), CH - C - CH CH,, CH CHCH CH CH CH CH CH CH,

10 10 7. How many of the following substance(s) form(s) alcohol when treated with CH MgBr followed by hydrolysis? CH CH CH, C H 5CH, HCH, CH CC H 5, CH CCH, CH CH - CH CH,, CH CH CH, C H 5 NHC H 5, CH NH, CH SH 8. bserve the following reaction and find out that how many number of reactant stereoisomers can be reduced to optically inactive meso products 9. Isoelectric point of the following amino acid is H C CH CH CH C H pka 4 pka NH pka ne mole of glycerol is completely acylated. The number of moles of acetyl chloride needed are.....? Space for Rough Work

11 11 SECTIN-III (Mathematics) Part-A (01 10) contains 10 multiple choice questions which have one or more than one correct answer. Each question carries +4 marks and mark for wrong answer. 1. The value of 1 ln cot x C 1 ln sinxsec x C (A) (C). If fx x 1 x (A) g1 1 (C) g 0 0 ln tan x dx is equal to sin x cos x 1 ln sec x C 1 ln cos xcosec x C (B) and (D) gx f f x then which of the following is true (B) gx is odd function (D) gx f x dx 1 x 1. is equal to A tan C x x 1 B then which of the following is true (A) A B (B) AB (C) A B A B B 5 (D) 4. Tangent drawn to y sin x at,1 f x 1 (A) maximum value of (B) b (C) f 0 0 (D) 5. Consider the function f : R R, f (x) = x + 1 then (A) f is many one Function. (B) Range of f is R + (C) Inverse of f is not defined.. (D) f is continuous and differentiable for every xr. is also a tangent to 4a f x ax bx a 0, then f x is a odd function 6. x The equation of normal to the curve y at (, ) is ax by c 0 then x 1 (A) Normal passes through origin (B) Normal is parallel to y axis (C) Normal is parallel to x axis (D) a b c dx 1 7. x e 1 sin f x c (A) f 0 1 (C) fx is one one (B) fx is periodic (D) fx is constant

12 1 8. Let gx xf x, where fx 1 x sin, x 0 x. At x = 0, 0, x 0 (A) g is differentiable but g is not continuous (B) g is differentiable while f is not (C) both f and g are differentiable (D) g is differentiable and g is continuous 9. If b a fx dx 10, then f a f a b x 10. If fx (A) b, a (B) b 15, a 5 (C) b 10, a 10 (D) b 10, a 7 x, x f x is increasing on 1, (A) (C) x 1x 1, 1 x f ' does not exist Then (B) Part-C f x is continuous on 1, (D) fx has the maximum value at x (01 10) contains 10 Numerical based questions with single digit integer as answer, ranging from 0 to 9 (both inclusive) and each question carries + marks for correct answer and 1 mark for wrong answer. 1. Consider the polynomial f x ax bx c. If value of 0 f ' x dx is f 0 0, f, then the minimum. The value of ln x sin x 1 dx ln k ln sin x sin ln6 x then k is. x 1 is equal to where [ ] represent greatest integer function 4. The slope of the tangent to the curve represented by at the point M, 1 is m, then 7m equals to x t t 8 and y t t 5 5. Two positive numbers x and y such that x y 60 and xy is maximum, then find x y 6. Number of points in 0,, where fx dx A B x 7. If ln C, 4 x x x x x 1 then B A tanx is discontinuous at 1 cos 4x

13 1 8. Let f x x 1 x x... x n,n N, and 9. If f x y 1 f x f y f ' n Then the value of n is x,y R and f(0) = 1, then f() =. x y f x f y 10. Let f then f(-1) is for all real x and y. if f (0) exists and equals -1 and f(0) = 1, Space for Rough Work

14 14 ANSWERS (ADV) PAPER 1 SR. N PHYSICS CHEMISTRY MATHS 1. D AC ACD. ABC ABC ACD. B ACD CD 4. AB ABD ABC 5. ACD ABC AC 6. ABC CD AD 7. AD BC BC 8. D ABD AB 9. BC AD ACD 10. ABCD ABCD ABCD

FIITJEE PET I (REG_2 ND YEAR)

FIITJEE PET I (REG_2 ND YEAR) FIITJEE PET I (REG_ ND YEAR) MAINS_SET A DATE: 09.06.018 Time: 3 hours Maximum Marks: 360 INSTRUCTINS: Instructions to the Candidates 1. This Test Booklet consists of 90 questions. Use Blue/Black ball