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JEE Advanced 2016 Paper 1

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Advanced 2016 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 54 questions in total - 10 easy (19%), 30 moderate (56%) and 14 tough (26%). That's a fairly typical mix for this exam. By subject: Physics 22% easy, 39% moderate, 39% tough; Chemistry 17% easy, 72% moderate, 11% tough; Mathematics 17% easy, 56% moderate, 28% tough.

Chemistry questions were spread across 16 chapters, with Chemical Kinetics (2), Coordination Compounds (2), and Alcohols Phenols and Ethers (1) carrying the most weight. Mathematics questions were spread across 14 chapters, with Application of Derivatives (2), Circle (2), and Differential Equations (2) carrying the most weight. Physics questions were spread across 13 chapters, with Ray Optics (3), Thermal Properties of Matter (3), and Atomic Physics (2) carrying the most weight.

Chemistry

  1. 1P is the probability of finding the 1 s electron of the hydrogen atom in a spherical shell of infinitesimal thickness, dr , at a distance, r2016 (Paper 1)Quantum mechanical model
  2. 2One mole of an ideal gas at 300 K in thermal contact with its surroundings expands isothermally from 1 . 0 L to 2 . 0 L against a constant p2016 (Paper 1)First Law and Basic Fundamentals of Thermodynamics
  3. 3The increasing order of atomic radii of the following group 13 elements is2016 (Paper 1)Periodic properties
  4. 4On complete hydrogenation, natural rubber produces2016 (Paper 1)Preparation and Properties of Polymers
  5. 5Among N i C O 4 , N i C l 4 2 - , C o N H 3 4 C l 2 C l , N a 3 C o F 6 , N a 2 O 2 and C s O 2 , the total number of paramagnetic compounds2016 (Paper 1)Werner's theory and Valence Bond Theory
  6. 6A plot of the number of neutrons ( N ) against the number of protons ( P ) of the stable nuclei exhibits upwards deviation from linearity fo2016 (Paper 1)Integrated rate laws
  7. 7The correct statement(s) about of the following reaction sequence is(are)2016 (Paper 1)Properties of Phenol
  8. 8Positive Tollen's test is observed for2016 (Paper 1)Tests for aldehyde and ketones
  9. 9The product(s) of the following reaction sequence is(are)2016 (Paper 1)Preparation and Properties of Amines
  10. 10The compound(s) with two lone pairs of electrons on the central atom is (are)2016 (Paper 1)Hybridisation and VSEPR Theory
  11. 11The crystalline form of borax has2016 (Paper 1)Boron and Its Compounds
  12. 12The reagent(s) that can selectively precipitate S 2 - from a mixture of S 2 - and S O 4 2 - in aqueous solution is (are)2016 (Paper 1)Radicals
  13. 13According to the Arrhenius equation,2016 (Paper 1)Arrhenius theory
  14. 14The mole fraction of a solute in a solution is 0 . 1 . At 298 K , the molarity of this solution is the same as its molality. The density of 2016 (Paper 1)Concentration terms
  15. 15In the following monobromination reaction, the number of possible chiral products is2016 (Paper 1)Isomerism of Organic Compounds
  16. 16The diffusion coefficient of an ideal gas is proportional to its mean free path and mean speed. The absolute temperature of an ideal gas is 2016 (Paper 1)Kinetic theory of gases
  17. 17The number of geometric isomers possible for the complex C o L 2 C l 2 - L = H 2 N C H 2 C H 2 O - is2016 (Paper 1)Isomerism of coordination compounds
  18. 18In a neutral or faintly alkaline solution, 8 moles of permanganate anion quantitatively oxidize thiosulphate anions to produce X moles of a 2016 (Paper 1)Redox titration

Mathematics

  1. 1A debate club consists of 6 girls and 4 boys. A team of 4 members is to be selected from this club including the selection of a captain (fro2016 (Paper 1)Combination
  2. 2The least value of R for which, 4 x 2 + 1 x 1 , for all x 0 , is2016 (Paper 1)Maxima Minima
  3. 3Let - 6 - 12 . Suppose 1 and 1 are the roots of the equation x 2 - 2 x sec + 1 = 0 and 2 and 2 are the roots of the equation x 2 + 2 x tan -2016 (Paper 1)Relation between Roots and Coefficients
  4. 4Let S = x - , : x 0 , 2 . The sum of all distinct solution of the equation 3 sec x + c o s e c x + 2 tan x - cot x = 0 , in the set S is equ2016 (Paper 1)Solving Trigonometric Equation
  5. 5A computer producing factory has only two plants T 1 and T 2 . Plant T 1 produces 20 % and plant T 2 produces 80 % of the total computers pr2016 (Paper 1)Baye's Theorem
  6. 6A solution curve of differential equation x 2 + x y + 4 x + 2 y + 4 d y d x - y 2 = 0 , x 0 passes through the point (1, 3). Then the soluti2016 (Paper 1)Exact Forms
  7. 7Consider a pyramid O P Q R S located in the first octant x 0 , y 0 , z 0 with O , as origin, and O P and, O R along the x a x i s and the y 2016 (Paper 1)Plane in Space
  8. 8In a X Y Z let x , y , z , be the lengths of sides opposite to the angles, X , Y , Z , respectively and 2 s = x + y + z . If s - x 4 = s - y2016 (Paper 1)Napiers Analogy, Area of Triangle & Half angle Formulae
  9. 9Let RS be the diameter of the circle x 2 + y 2 = 1 where, S is the point ( 1 , 0 ) . Let P be a variable point (other than R S ) on the circ2016 (Paper 1)Locus
  10. 10The circle C 1 : x 2 + y 2 = 3 , with centre at O, intersects the parabola x 2 = 2 y at the point P in the first quadrant. Let the tangent t2016 (Paper 1)Tangent to circle
  11. 11Let f : R R , g : R R and h : R R be differentiable functions such that f x = x 3 + 3 x + 2 , g f x = x and h g g x = x , for all x R . Then2016 (Paper 1)Differentiation of composite functions
  12. 12Let f : 0 , R be a differentiable function such that f x = 2 - f x x x ( 0 , ) and f 1 1 . Then,2016 (Paper 1)Linear Differential Equation
  13. 13Let P = 3 - 1 - 2 2 0 3 - 5 0 , where R , Suppose Q = q i j is a matrix such that P Q = k I , where k R , k 0 and I is the identity matrix o2016 (Paper 1)Adjoint and its Properties
  14. 14Let m be the smallest positive integer such that the coefficient of x 2 in the expansion of 1 + x 2 + 1 + x 3 + + 1 + x 49 + 1 + m x 50 is 32016 (Paper 1)Sum of Series
  15. 15The total number of distinct x R for which x x 2 1 + x 3 2 x 4 x 2 1 + 8 x 3 3 x 9 x 2 1 + 27 x 3 = 10 is2016 (Paper 1)Expansion of Determinants
  16. 16Let z = - 1 + 3 i 2 , where i = - 1 , and r , s 1 , 2 , 3 . Let P = - z r z 2 s z 2 s z r and I be the identity matrix of order 2. Then the 2016 (Paper 1)Product of Matrices
  17. 17The total number of distinct x 0 , 1 for which, 0 x t 2 1 + t 4 d t = 2 x - 1 is2016 (Paper 1)Monotonicity
  18. 18Let , R be such that lim x 0 x 2 sin x x - sin x = 1 . Then 6 + equals2016 (Paper 1)Trigonometric and Inverse Trigonometric limits

Physics

  1. 1A parallel beam of light is incident from air at an angle on the side PQ of a right angled triangular prism of refractive index n = 2 . Ligh2016 (Paper 1)Prism and Dispersion of Light
  2. 2In a historical experiment to determine Planck s constant, a metal surface was irradiated with light of different wavelengths. The emitted p2016 (Paper 1)Photoelectric Effect
  3. 3A uniform wooden stick of mass 1.6 kg and length l rests in an inclined manner on a smooth, vertical wall of height h l such that a small po2016 (Paper 1)Equilibrium of Forces
  4. 4A water cooler of storage capacity 120 litres can cool water at constant rate of P watts. In a closed circulation system (as shown schematic2016 (Paper 1)Thermometry
  5. 5An infinite line charge of uniform electric charge density lies along the axis of an electrically conducting infinite cylindrical shell of r2016 (Paper 1)Electric Current and Drift of Electrons
  6. 6A transparent slab of thickness d has a refractive index n (z) that increases with z. Here z is the vertical distance inside the slab, measu2016 (Paper 1)Refraction of light from plane surface
  7. 7A conducting loop in the shape of right angled isosceles triangle of height 10 cm is kept such that the 90 o vertex is very close to an infi2016 (Paper 1)Motional and Rotational EMF
  8. 8A plano-convex lens is made of a material of refractive index n. When a small object is placed 30 cm away in front of the curved surface of 2016 (Paper 1)Lens Formula, Refraction of light from curved surface
  9. 9An incandescent bulb has a thin filament of tungsten that is heated to high temperature by passing an electric current. The hot filament emi2016 (Paper 1)Radiation
  10. 10A length - scale l depends on the permittivity of a dielectric material, Boltzmann constant k B , the absolute temperature T, the number per2016 (Paper 1)Dimensions
  11. 11Highly excited states for hydrogen like atoms (also called Rydberg states) with nuclear charge Ze are defined by their principal quantum num2016 (Paper 1)Bohr's Atomic Model
  12. 12The positon vector r of a particle of mass m is given by the following equation r t = t 3 i ^ + t 2 j ^ , w h e r e = 10 3 m s - 3 , = 5 m s2016 (Paper 1)Non-uniform Motion
  13. 13Two loudspeakers M and N are located 20m apart and emit sound at frequencies 118 Hz and 121 Hz, respectively. A car is initially at a point 2016 (Paper 1)Beats
  14. 14Consider two solid spheres P and Q each of density 8 gm c m - 3 and diameters 1 cm and 0.5 cm, respectively. Sphere P is dropped into a liqu2016 (Paper 1)Hydrodynamics
  15. 15Two inductors L i (inductance 1 mH , internal resistance 3 ) and L 2 (inductance 2 mH , internal resistance 4 ), and a resistor R (resistanc2016 (Paper 1)AC Circuits
  16. 16The isotope B 5 12 having a mass 12.014 u undergoes - decay to C . 6 12 C 6 12 has an excited state of the nucleus C * 6 12 at 4.041 MeV abo2016 (Paper 1)Nuclear reactions
  17. 17A hydrogen atom in its ground state is irradiated by light of wavelength 970 . Taking hc/e = 1.237 10 - 6 e V m and the ground state energy 2016 (Paper 1)Atomic Spectrum
  18. 18A metal is heated in a furnace where a sensor is kept above the metal surface to read the power radiated ( P ) by the metal. The sensor has 2016 (Paper 1)Radiation

Frequently Asked Questions

1.How many questions are in the JEE Advanced 2016 Paper 1 paper?

This paper has 54 questions in total - 18 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 2016 Paper 2 paper is listed separately - you can switch to it from the "JEE Advanced Paper Wise PYQs" panel, under JEE Advanced 2016.

4.How is the JEE Advanced 2016 Paper 1 paper structured?

The JEE Advanced 2016 Paper 1 paper on MARKS has 54 questions, organised by subject:

  • Chemistry: 18 questions - 5 single-correct, 8 multiple-correct, and 5 numerical-value.
  • Mathematics: 18 questions - 5 single-correct, 8 multiple-correct, and 5 numerical-value.
  • Physics: 18 questions - 5 single-correct, 8 multiple-correct, and 5 numerical-value.
5.How difficult is the JEE Advanced 2016 Paper 1 paper?

Each question on MARKS carries a difficulty rating. Of the 54 rated questions in this paper, 10 (19%) are easy, 30 (56%) are medium and 14 (26%) are hard. Subject wise:

  • Chemistry: 3 easy, 13 medium, 2 hard
  • Mathematics: 3 easy, 10 medium, 5 hard
  • Physics: 4 easy, 7 medium, 7 hard
6.Which chapters were asked the most in the JEE Advanced 2016 Paper 1 paper?

The chapters with the most questions in each subject were:

  • Chemistry: Chemical Kinetics (2) and Coordination Compounds (2).
  • Mathematics: Application of Derivatives (2), Circle (2), and Differential Equations (2).
  • Physics: Ray Optics (3), Thermal Properties of Matter (3), and Atomic Physics (2).
7.Where can I find the solutions for the JEE Advanced 2016 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 2016 Paper 1 paper to check my preparation?

Set a timer, attempt the 54 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 2016 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.