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JEE Advanced 2014 Paper 1

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Advanced 2014 Paper 1 paper, question by question. Each question shows a quick preview so you can jump straight to the topic or subject you want to revise. Click through to attempt the full question in practice mode, or head back to the paper-wise list to download the entire paper as a PDF.

This paper has 60 questions in total - 16 easy (27%), 31 moderate (52%) and 13 tough (22%). That's a fairly typical mix for this exam. By subject: Physics 20% easy, 60% moderate, 20% tough; Chemistry 30% easy, 55% moderate, 15% tough; Mathematics 30% easy, 40% moderate, 30% tough.

Chemistry questions were spread across 18 chapters, with Alcohols Phenols and Ethers (2), Redox Reactions (2), and Aldehydes and Ketones (1) carrying the most weight. Mathematics questions were spread across 13 chapters, with Application of Derivatives (4), Continuity and Differentiability (2), and Matrices (2) carrying the most weight. Physics questions were spread across 15 chapters, with Current Electricity (2), Magnetic Effects of Current (2), and Motion In Two Dimensions (2) carrying the most weight.

Chemistry

  1. 1The correct combination of names for isomeric alcohols with molecular formula C 4 H 10 O is/are2014 (Paper 1)Preparation and Properties of Alcohols
  2. 2An ideal gas in a thermally insulated vessel at internal pressure = P 1 , volume = V 1 and absolute temperature = T 1 expands irreversibly a2014 (Paper 1)First Law and Basic Fundamentals of Thermodynamics
  3. 3Hydrogen bonding plays a central role in the following phenomena:2014 (Paper 1)Van Der Waals Forces, Hydrogen Bonding and Metallic Bonding
  4. 4In a galvanic cell, the salt bridge2014 (Paper 1)Cells and Electrode Potential, Nernst Equation
  5. 5For the reaction: I - + C l O 3 - + H 2 S O 4 C l - + H S O 4 - + I 2 The correct statement(s) in the balanced equation is/are:2014 (Paper 1)Oxidation and Reduction Reactions
  6. 6The reactivity of compound Z with different halogens under appropriate conditions is given below: The observed pattern of electrophilic subs2014 (Paper 1)Properties of Phenol
  7. 7The correct statement(s) for orthoboric acid is/are2014 (Paper 1)Boron and Its Compounds
  8. 8Upon heating with C u 2 S , the reagent(s) that give copper metal is/are2014 (Paper 1)Reduction to Crude Metal
  9. 9The pair(s) of reagents that yield paramagnetic species is/are2014 (Paper 1)Nitrogen and Its Compounds
  10. 10In the reaction shown below, the major product(s) formed is/are2014 (Paper 1)Preparation and Properties of Amides
  11. 11Among PbS, CuS, HgS, MnS, A g 2 S , NiS, CoS, B i 2 S 3 and S n S 2 , the total number of black coloured sulphides is2014 (Paper 1)Compounds of Transition Metals
  12. 12The total number(s) of stable conformers with non-zero dipole moment for the following compound is(are)2014 (Paper 1)Isomerism of Organic Compounds
  13. 13Consider the following list of reagents: Acidified K 2 C r 2 O 7 , alkaline K M n O 4 , C u S O 4 , H 2 O 2 , C l 2 , O 3 , F e C l 3 , H N 2014 (Paper 1)Oxidation and Reduction Reactions
  14. 14A list of species having the formula XZ4 is given below. X e F 4 , S F 4 , S i F 4 , B F 4 - , Br F 4 - , C u N H 3 4 2 + , F e C l 4 2 - , 2014 (Paper 1)Werner's theory and Valence Bond Theory
  15. 15Consider all possible isomeric ketones, including stereoisomers of MW = 100. All these isomers are independently reacted with N a B H 4 (NOT2014 (Paper 1)Reactions for ketones
  16. 16In an atom, the total number of electrons having quantum numbers n = 4 , | m l | = 1 and m s = 1 / 2 is2014 (Paper 1)Electronic configuration
  17. 17If the value of Avogadro number is 6.023 10 23 m o l 1 and the value of Boltzmann constant is 1.380 10 - 23 J K - 1 , then the number of sig2014 (Paper 1)Gas laws and Ideal Gas Equation
  18. 18M X 2 dissociates in M 2 + and X - ions in an aqueous solution, with a degree of dissociation of 0.5. The ratio of the observed depression o2014 (Paper 1)Colligative Properties and Abnormal Molecular Masses
  19. 19The total number of distinct naturally occurring amino acids obtained by complete acidic hydrolysis of the peptide shown below is2014 (Paper 1)Properties and Preparation of Amino Acids
  20. 20A compound H 2 X with molar weight of 80g is dissolved in a solvent having density of 0.4 g m l 1 . Assuming no change in volume upon dissol2014 (Paper 1)Concentration terms

Mathematics

  1. 1Let f : 0 , R be given by f x = 1 x x e - t + 1 t d t t , then2014 (Paper 1)Monotonicity
  2. 2Let a R and let f : R R be given by f x = x 5 - 5 x + a , then2014 (Paper 1)Mean Value Theorem
  3. 3For every pair of continuous functions f , g : 0 , 1 R such that max f x : x 0 , 1 = max { g x : x 0 , 1 } , then the correct statement (s) 2014 (Paper 1)Mean Value Theorem
  4. 4A circle S passes through the point (0, 1) and is orthogonal to the circles x - 1 2 + y 2 = 16 and x 2 + y 2 = 1 . Then2014 (Paper 1)General Equation of 2nd degree curve
  5. 5Let x , y and z be three vectors each of magnitude 2 and the angle between each pair of them is 3 . If a is a non - zero vector perpendicula2014 (Paper 1)Vector Triple Product
  6. 6From a point P , , , perpendiculars PQ and PR are drawn respectively on the lines y = x , z = 1 and y = - x , z = - 1 . If P is such that Q 2014 (Paper 1)Line in Space
  7. 7Let M be a 2 2 symmetric matrix with integer entries. Then M is invertible if2014 (Paper 1)Inverse of a Matrix
  8. 8Let M and N be two 3 3 matrices such that MN = NM. Further, if M N 2 and M 2 = N 4 , then2014 (Paper 1)Basic Algebra of Matrices
  9. 9Let f : a , b 1 , be a continuous function and let g : R R be defined as g x = 0 i f x a , a x f t d t i f a x b , a b f t d t i f x b . The2014 (Paper 1)Continuity
  10. 10Let f : - 2 , 2 R be given by f x = log sec x + tan x 3 . Then2014 (Paper 1)Types of Function (Mapping)
  11. 11Let n 1 n 2 n 3 n 4 n 5 be positive integers such that n 1 + n 2 + n 3 + n 4 + n 5 = 20 . Then the number of such distinct arrangements n 1 2014 (Paper 1)Arrangement under Constraint
  12. 12Let n 2 be an integer. Take n distinct points on a circle and join each pair of points by a line segment. Colour the line segment joining ev2014 (Paper 1)Geometric Permutation
  13. 13Let f : R R and g : R R be respectively given by f x = x + 1 and g x = x 2 + 1 . Define h : R R by h x = max f x , g x i f x 0 min f x , g x2014 (Paper 1)Differentiability
  14. 14Let a, b, c be positive integers such that b a is an integer. If a, b, c are in geometric progression and the arithmetic mean of a, b, c is 2014 (Paper 1)Mixed Question on AP and GP
  15. 15Let a , b and c be three non - coplanar unit vectors such that the angle between every pair of them is 3 . If a b + b c = p a + q b + r c , 2014 (Paper 1)Scalar Triple Product
  16. 16The slope of the tangent to the curve y - x 5 2 = x 1 + x 2 2 at the point (1, 3) is ________.2014 (Paper 1)Tangent Normal
  17. 17The value of 0 1 4 x 3 d 2 d x 2 1 - x 2 5 d x is ____________2014 (Paper 1)Definite Integration by Parts
  18. 18The largest value of the non - negative integer a for which lim x 1 - a x + sin x - 1 + a x + sin x - 1 - 1 1 - x 1 - x = 1 4 is _________2014 (Paper 1)Exponential and logarithmic limits
  19. 19Let f : 0 , 4 0 , be defined by f x = cos - 1 cos x . The number of points x 0 , 4 satisfying the equation f x = 10 - x 10 is_________2014 (Paper 1)T inverse T property
  20. 20For a point P in the plane, let d 1 P and d 2 P be the distances of the point P from the lines x - y = 0 and x + y = 0 respectively. The are2014 (Paper 1)Coordinate System

Physics

  1. 1A student is performing an experiment using a resonance column and a tuning fork of frequency 244 s - 1 . He is told that the air in the tub2014 (Paper 1)Basics of Mechanical Waves
  2. 2At time t = 0, terminal A in the circuit shown in the figure is connected to B by a key and an alternating current I t = I 0 cos ⁡ ω t , wit2014 (Paper 1)AC Circuits
  3. 3A parallel plate capacitor has a dielectric slab of dielectric constant K between its plates that covers 1/3 of the area of its plates, as s2014 (Paper 1)Capacitors with Dielectric
  4. 4One end of a taut string of length 3m along the x axis is fixed at x = 0. The speed of the waves in the string is 100 m s - 1 . The other en2014 (Paper 1)Stationary waves
  5. 5A transparent thin film of uniform thickness and refractive index n 1 = 1.4 is coated on the convex spherical surface of radius R at one end2014 (Paper 1)Lens Formula, Refraction of light from curved surface
  6. 6Heater of an electric kettle is made of a wire of length L and diameter d. It takes 4 minutes to raise the temperature of 0.5 kg water by 402014 (Paper 1)Electric Power and Heating Effect of Current
  7. 7Two ideal batteries of emf V 1 and V 2 and three resistances R 1 , R 2 and R 3 are connected as shown in the figure. The current in resistan2014 (Paper 1)Combination of Resistances
  8. 8Let E 1 r , E 2 r and E 3 r be the respective electric fields at a distance r from a point charge Q, an infinitely long wire with constant l2014 (Paper 1)Electric Field and Electric Field Lines
  9. 9A light source, which emits two wavelengths 1 = 400 n m and 2 = 600 n m , is used in a Young s double slit experiment. If recorded fringe wi2014 (Paper 1)Youngs Double Slit Experiment
  10. 10In the figure, a ladder of mass m is shown leaning against a wall. It is in static equilibrium making an angle θ with the horizontal floor. 2014 (Paper 1)Equilibrium of Forces
  11. 11During Searle s experiment, zero of the Vernier scale lies between 3.20 10 - 2 m and 3.25 10 - 2 m of the main scale. The 20 t h division of2014 (Paper 1)Experimental Physics
  12. 12Airplanes A and B are flying with constant velocity in the same vertical plane at angles 30 o and 60 o with respect to the horizontal respec2014 (Paper 1)Relative motion
  13. 13A thermodynamic system is taken from an initial state i with internal energy U i = 100 J to the final state f along two different paths iaf 2014 (Paper 1)Thermodynamic Systems
  14. 14Two parallel wires in the plane of the paper are distance X 0 apart. A point charge is moving with speed u between the wires in the same pla2014 (Paper 1)Motion of Charged Particle in Magnetic Field
  15. 15To find the distance d over which a signal can be seen clearly in foggy conditions, a railways engineer uses dimensional analysis and assume2014 (Paper 1)Dimensions
  16. 16A rocket is moving in a gravity free space with a constant acceleration of 2 m s - 2 along + x direction (see figure). The length of a chamb2014 (Paper 1)Relative motion
  17. 17A galvanometer gives full scale deflection with 0 006 A current. By connecting it to a 4990 resistance, it can be converted into a voltmeter2014 (Paper 1)Force and Torque on Current Carrying Conductor
  18. 18A uniform circular disc of mass 1.5 kg and radius 0.5 m is initially at rest on a horizontal frictionless surface. Three forces of equal mag2014 (Paper 1)Rotational kinematics
  19. 19A horizontal circular platform of radius 0.5 m and mass 0.45 kg is free to rotate about its axis. Two massless spring toy-guns, each carryin2014 (Paper 1)Angular momentum and Angular impulse
  20. 20Consider an elliptically shaped rail PQ in the vertical plane with O P = 3 m and O Q = 4 m . A block of mass 1 kg is pulled along the rail f2014 (Paper 1)Energy

Frequently Asked Questions

1.How many questions are in the JEE Advanced 2014 Paper 1 paper?

This paper has 60 questions in total - 20 each from Chemistry, Mathematics, and Physics.

2.Can I practise questions from just one subject?

Yes. Use the Chemistry, Mathematics, and Physics tabs at the top of the page to jump directly to that subject's question set within this paper.

3.Where can I find the Paper 2 paper for the same year?

The JEE Advanced 2014 Paper 2 paper is listed separately - you can switch to it from the "JEE Advanced Paper Wise PYQs" panel, under JEE Advanced 2014.

4.How is the JEE Advanced 2014 Paper 1 paper structured?

The JEE Advanced 2014 Paper 1 paper on MARKS has 60 questions, organised by subject:

  • Chemistry: 20 questions - 10 multiple-correct and 10 numerical-value.
  • Mathematics: 20 questions - 10 multiple-correct and 10 numerical-value.
  • Physics: 20 questions - 10 multiple-correct and 10 numerical-value.
5.How difficult is the JEE Advanced 2014 Paper 1 paper?

Each question on MARKS carries a difficulty rating. Of the 60 rated questions in this paper, 16 (27%) are easy, 31 (52%) are medium and 13 (22%) are hard. Subject wise:

  • Chemistry: 6 easy, 11 medium, 3 hard
  • Mathematics: 6 easy, 8 medium, 6 hard
  • Physics: 4 easy, 12 medium, 4 hard
6.Which chapters were asked the most in the JEE Advanced 2014 Paper 1 paper?

The chapters with the most questions in each subject were:

  • Chemistry: Alcohols Phenols and Ethers (2) and Redox Reactions (2).
  • Mathematics: Application of Derivatives (4), Continuity and Differentiability (2), and Matrices (2).
  • Physics: Current Electricity (2), Magnetic Effects of Current (2), and Motion In Two Dimensions (2).
7.Where can I find the solutions for the JEE Advanced 2014 Paper 1 paper?

Open any question on this page. Its page shows the correct answer and, where one is available, the worked solution. A downloadable PDF of the whole paper is coming soon.

8.How should I use the JEE Advanced 2014 Paper 1 paper to check my preparation?

Set a timer, attempt the 60 questions as you would in the exam, and only then open the answers. Note which subjects and chapters cost you the most marks, and revise those first using the chapter-wise practice for JEE Advanced. Repeating this with other papers shows whether the same weak spots keep coming back.

9.Will the JEE Advanced 2014 Paper 1 paper help me prepare for JEE Advanced 2027?

Yes. Every past paper shows the question styles and topics JEE Advanced has asked before, and a solved paper gives you a realistic benchmark for speed and accuracy. Use it along with the other papers to spot the chapters that keep returning.