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JEE Advanced 2013 Paper 1

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Advanced 2013 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 - 11 easy (18%), 33 moderate (55%) and 16 tough (27%). That's a fairly typical mix for this exam. By subject: Physics 20% easy, 70% moderate, 10% tough; Chemistry 20% easy, 50% moderate, 30% tough; Mathematics 15% easy, 45% moderate, 40% tough.

Chemistry questions were spread across 15 chapters, with General Organic Chemistry (4), Coordination Compounds (3), and Aldehydes and Ketones (1) carrying the most weight. Mathematics questions were spread across 14 chapters, with Application of Derivatives (2), Differential Equations (2), and Probability (2) carrying the most weight. Physics questions were spread across 17 chapters, with Dual Nature of Matter (2), Ray Optics (2), and Work Power Energy (2) carrying the most weight.

Chemistry

  1. 1In the reaction, P + Q → R + S the time taken for 75 % reaction of P is twice the time taken for 50 % reaction of P . The concentration of Q2013 (Paper 1)Rate law and rate constant
  2. 2Consider the following complex ions, P, Q and R. The correct order of the complex ions, according to their spin-only magnetic moment values 2013 (Paper 1)Crystal Field Theory
  3. 3The arrangement of X - ions around A + ion in solid AX is given in the figure (not drawn to scale). If the radius of X - is 250 pm, the radi2013 (Paper 1)Crystal Structure of Solids
  4. 4Concentrated nitric acid, upon long standing, turns yellow-brown due to the formation of2013 (Paper 1)Nitrogen and Its Compounds
  5. 5The compound that does NOT liberate CO 2 , on treatment with aqueous sodium bicarbonate solution, is2013 (Paper 1)Reaction Intermediates
  6. 6Sulfide ores are common for the metals2013 (Paper 1)Extraction of Metals
  7. 7Methylene blue, from its aqueous solution, is adsorbed on activated charcoal at 25 o C. For this process, the correct statement is2013 (Paper 1)Adsorption
  8. 8KI in acetone, undergoes S N 2 reaction with each of P, Q, R and S. The rates of the reaction vary as2013 (Paper 1)Electron displacement effects
  9. 9The standard enthalpies of formation of C O 2 ( g ) , H 2 O l and glucose (s) at 2 5 o C are - 400 kJ / mol , - 300 kJ / mol and - 1300 kJ /2013 (Paper 1)Laws of Thermochemistry and Enthalpy Change
  10. 10Upon treatment with ammoniacal H 2 S , the metal ion that precipitates as a sulphide is2013 (Paper 1)Identification of Basic Radicals
  11. 11The initial rate of hydrolysis of methyl acetate 1 M by a weak acid ( HA , 1 M ) is 1 / 100 th of that by a strong acid HX , 1 M , at 25 C .2013 (Paper 1)Salt Hydrolysis
  12. 12The hyperconjugative stabilities of tert-butyl cation and 2-butene, respectively, due to2013 (Paper 1)Electron displacement effects
  13. 13The pair(s) of coordination complexes/ions exhibiting the same kind of isomerism is (are)2013 (Paper 1)Isomerism of coordination compounds
  14. 14Among P, Q, R and S, the aromatic compound(s) is/are ​2013 (Paper 1)Conjugation and Aromaticity
  15. 15Benzene and naphthalene form an ideal solution at room temperature. For this process, the true statement(s) is (are)2013 (Paper 1)Vapour pressure and raoult's law
  16. 16The atomic masses of He and Ne are 4 and 20 amu , respectively. The value of the de Broglie wavelength of He gas at - 73 C is M times that o2013 (Paper 1)Dual Behaviour of Matter and Heisenberg Uncertainty Principle
  17. 17EDTA 4 - is ethylenediaminetetraacetate ion. The total number of N - Co - O bond angles in Co EDTA 1 - complex ion is2013 (Paper 1)Terminology of coordination compounds
  18. 18The total number of carboxylic acid groups in the product P is2013 (Paper 1)Chemical reactions for aldehydes and ketones
  19. 19A tetrapeptide has -COOH group on alanine. This produces glycine (Gly), Valine (Val), Phenyl alanine (Phe) and Alanine (Ala) on complete hyd2013 (Paper 1)Properties and Preparation of Amino Acids
  20. 20The total number of lone pairs of electrons in melamine is2013 (Paper 1)Preparation and Properties of Amines

Mathematics

  1. 1Perpendiculars are drawn from points on the line x + 2 2 = y + 1 - 1 = z 3 to the plane x + y + z = 3 . The feet of perpendiculars lie on th2013 (Paper 1)Line and Plane
  2. 2For a b c 0, the distance between (1, 1) and the point of intersection of the lines ax + by + c = 0 and bx + ay + c = 0 is less than 2 2 .Th2013 (Paper 1)Concurrency & Family of Lines
  3. 3The area enclosed by the curves y = sin x + cos x and y = cos x - sin x over the interval 0 , 2 is2013 (Paper 1)Area bounded by two curves
  4. 4Four persons independently solve a certain problem correctly with probabilities 1 2 , 3 4 , 1 4 , 1 8 . Then the probability that the proble2013 (Paper 1)Addition and Subtraction Theorems
  5. 5Let complex numbers and 1 lie on circles x - x 0 2 + y - y 0 2 = r 2 , and x - x 0 2 + y - y 0 2 = 4 r 2 , respectively. If z 0 = x 0 + i y 2013 (Paper 1)Geometry of Complex Number
  6. 6The number of points in - , , for which x 2 - x sin x - cos x = 0 , is:2013 (Paper 1)Mean Value Theorem
  7. 7Let f : 1 2 1 R (the set of all real numbers) be a positive, non-constant and differentiable function such that f x 2 f x and f 1 2 = 1 . Th2013 (Paper 1)Formation of Differential Equation
  8. 8Let PR = 3 i ^ + j ^ - 2 k ^ and SQ = i ^ - 3 j ^ - 4 k ^ determine diagonals of a parallelogram PQRS and PT = i ^ + 2 j ^ + 3 k ^ be anothe2013 (Paper 1)Scalar Triple Product
  9. 9The value of c o t n = 1 2 3 cot - 1 1 + k = 1 n 2 k is2013 (Paper 1)Sum of complementary angles
  10. 10A curve passes through the point 1 , 6 . Let the slope of the curve at each point x , y be y x + sec y x , x 0 . Then the equation of the cu2013 (Paper 1)Homogeneous DE
  11. 11A line l passing through the origin is perpendicular to the lines l 1 : 3 + t i ^ + - 1 + 2 t j ^ + 4 + 2 t k ^ , - t l 2 : 3 + 2 s i ^ + 3 2013 (Paper 1)Line in Space
  12. 12Let f x = x sin x , x 0 . Then for all natural numbers n , f x vanishes at2013 (Paper 1)Differentiation of composite functions
  13. 13Let S n = k = 1 4 n - 1 k k + 1 2 k 2 . Then S n can take value(s)2013 (Paper 1)Summation of Series
  14. 14For 3 x 3 matrices M and N, which of the following statement(s) is (are) not correct?2013 (Paper 1)Symmetric & Skew Symmetric Matrices
  15. 15A rectangular sheet of fixed perimeter with sides having their lengths in the ratio 8 : 15 is converted into an open rectangular box by fold2013 (Paper 1)Maxima Minima
  16. 16Consider the set of eight vectors V = a i ^ + b j ^ + c k ^ : a, b, c - 1 , 1 . Three non-coplanar vectors can be chosen from V in 2 p ways.2013 (Paper 1)Algebra of Vectors
  17. 17Of the three independent events E 1 , E 2 and E 3 , the probability that only E 1 occurs is , only E 2 occurs is and only E 3 occurs is . Le2013 (Paper 1)Independent Events
  18. 18The coefficients of three consecutive terms of 1 + x n + 5 are in the ratio 5 : 10 : 14 . Then n =2013 (Paper 1)Terms of Binomial Expansion
  19. 19A pack contains n cards numbered from 1 to n. Two consecutive numbered cards are removed from the pack and the sum of the numbers on the rem2013 (Paper 1)Mixed Question on AP and GP
  20. 20A vertical line passing through the point h , 0 intersects the ellipse x 2 4 + y 2 3 = 1 at the points P and Q . Let the tangents to the ell2013 (Paper 1)Tangent to ellipse

Physics

  1. 1One end of a horizontal thick copper wire of length 2 L and radius 2 R is welded to an end of another horizontal thin copper wire of length 2013 (Paper 1)Elasticity
  2. 2The work done on a particle of mass m by a force K x x 2 + y 2 3 / 2 i ^ + y x 2 + y 2 3 / 2 j ^ (K being a constant of appropriate dimensio2013 (Paper 1)Work done
  3. 3Two rectangular blocks, having identical dimensions, can be arranged either in configuration I or in configuration I I as shown in the figur2013 (Paper 1)Conduction
  4. 4A ray of light, travelling in the direction 1 2 i ^ + 3 j ^ , is incident on a plane mirror. After reflection, it travels along the directio2013 (Paper 1)Reflection of Light from Plane Mirror
  5. 5The diameter of a cylinder is measured using a vernier calipers with no zero error. It is found that the zero of the vernier scale lies betw2013 (Paper 1)Experimental Physics
  6. 6Two non-reactive monoatomic ideal gases have their atomic masses in the ratio 2 : 3. The ratio of their partial pressures, when enclosed in 2013 (Paper 1)Gas Laws
  7. 7In the Young s double slit experiment using a monochromatic light of wavelength , the path difference ( in terms of an integer n ) correspon2013 (Paper 1)Youngs Double Slit Experiment
  8. 8The image of an object, formed by a plano - convex lens at a distance of 8 m behind the lens, is real and is one-third the size of the objec2013 (Paper 1)Lens Formula, Refraction of light from curved surface
  9. 9A particle of mass m is projected from the ground with an initial speed u at an angle with the horizontal. At the highest point of its traje2013 (Paper 1)Projectile motion
  10. 10A pulse of light of duration 100 ns is absorbed completely by a small object initially at rest. Power of the pulse is 30 mW and the speed of2013 (Paper 1)Photoelectric Effect
  11. 11In the circuit shown in the figure, there are two parallel plate capacitors each of capacitance C . The switch S 1 is pressed first to fully2013 (Paper 1)Grouping of capacitors
  12. 12A particle of mass M and positive charge Q, moving with a constant velocity u 1 = 4 i ^ ms - 1 , enters a region of uniform static magnetic 2013 (Paper 1)Motion of Charged Particle in Magnetic Field
  13. 13A horizontal stretched string, fixed at two ends, is vibrating in its fifth harmonic according to the equation, y x , t = 0.01 m sin 62.8 m 2013 (Paper 1)Stationary waves
  14. 14A solid sphere of radius R and density is attached to one end of a mass-less spring of force constant k. The other end of the spring is conn2013 (Paper 1)Pressure and thrust
  15. 15Two non-conducting solid spheres of radii R and 2 R , having uniform volume charge densities 1 and 2 , respectively, touch each other. The n2013 (Paper 1)Electric Field and Electric Field Lines
  16. 16A bob of mass m , suspended by a string of length l 1 , is given a minimum velocity required to complete a full circle in the vertical plane2013 (Paper 1)Non-uniform Circular Motion
  17. 17A particle of mass 0.2 kg is moving in one dimension under a force that delivers a constant power 0.5 W to the particle. If the initial spee2013 (Paper 1)Energy
  18. 18The work functions of silver and sodium are 4.6 and 2.3 eV, respectively. The ratio of the slope of the stopping potential versus frequency 2013 (Paper 1)Photoelectric Effect
  19. 19A freshly prepared sample of a radioisotope of half-life 1386 s has activity disintegrations per second. Given that In 2 = 0.693, the fracti2013 (Paper 1)Radioactivity
  20. 20A uniform circular disc of mass 50 kg and radius 0.4 m is rotating with an angular velocity of 10 rad s -1 about its own axis, which is vert2013 (Paper 1)Angular momentum and Angular impulse

Frequently Asked Questions

1.How many questions are in the JEE Advanced 2013 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 2013 Paper 2 paper is listed separately - you can switch to it from the "JEE Advanced Paper Wise PYQs" panel, under JEE Advanced 2013.

4.What is the structure of the JEE Advanced 2013 Paper 1 paper?

The JEE Advanced 2013 Paper 1 paper on MARKS has 60 questions, organised by subject:

  • Chemistry: 20 questions - 10 single-correct, 5 multiple-correct, and 5 numerical-value.
  • Mathematics: 20 questions - 10 single-correct, 5 multiple-correct, and 5 numerical-value.
  • Physics: 20 questions - 10 single-correct, 5 multiple-correct, and 5 numerical-value.
5.What is the difficulty level of the JEE Advanced 2013 Paper 1 paper?

Each question on MARKS carries a difficulty rating. Of the 60 rated questions in this paper, 11 (18%) are easy, 33 (55%) are medium and 16 (27%) are hard. Subject wise:

  • Chemistry: 4 easy, 10 medium, 6 hard
  • Mathematics: 3 easy, 9 medium, 8 hard
  • Physics: 4 easy, 14 medium, 2 hard
6.Which chapters had the most questions in the JEE Advanced 2013 Paper 1 paper?

The chapters with the most questions in each subject were:

  • Chemistry: General Organic Chemistry (4) and Coordination Compounds (3).
  • Mathematics: Application of Derivatives (2), Differential Equations (2), and Probability (2).
  • Physics: Dual Nature of Matter (2), Ray Optics (2), and Work Power Energy (2).
7.Where can I find the solutions for the JEE Advanced 2013 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 2013 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 2013 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.