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JEE Advanced 2016 Paper 2

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Advanced 2016 Paper 2 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 - 9 easy (17%), 32 moderate (59%) and 13 tough (24%). That's a fairly typical mix for this exam. By subject: Physics 11% easy, 56% moderate, 33% tough; Chemistry 17% easy, 67% moderate, 17% tough; Mathematics 22% easy, 56% moderate, 22% tough.

Chemistry questions were spread across 16 chapters, with Biomolecules (2), Chemical Equilibrium (2), and Alcohols Phenols and Ethers (1) carrying the most weight. Mathematics questions were spread across 14 chapters, with Continuity and Differentiability (2), Limits (2), and Probability (2) carrying the most weight. Physics questions were spread across 14 chapters, with Current Electricity (3), Laws of Motion (2), and Nuclear Physics (2) carrying the most weight.

Chemistry

  1. 1The correct order of acidity for the following compounds is :2016 (Paper 2)Preparation and Properties of Carboxylic Acids
  2. 2The geometries of the ammonia complexes of N i 2 + , P t 2 + a n d Z n 2 + respectively, are :2016 (Paper 2)Werner's theory and Valence Bond Theory
  3. 3For the following electrochemical cell at 289 K, Pt ( s ) | H 2 ( g , 1 bar ) | H + ( aq , 1 M ) | | M 4 + ( aq . ) , M 2+ ( aq . ) | Pt ( s2016 (Paper 2)Cells and Electrode Potential, Nernst Equation
  4. 4The major product of the following reaction sequence is2016 (Paper 2)Chemical reactions for aldehydes and ketones
  5. 5In the following reaction sequence in aqueous solution, the species X, Y and Z respectively, are S 2 O 3 2 − → Ag + X Clear Solution → Ag + 2016 (Paper 2)Radicals
  6. 6The qualitative sketches I, II and III given below show the variation of surface tension with molar concentration of three different aqueous2016 (Paper 2)Colloids
  7. 7For invert sugar , the correct statement(s) is (are) (Given: specific rotations of + - sucrose, + - maltose, L - - - glucose and L - + - fru2016 (Paper 2)Disaccharides and Polysaccharides
  8. 8Which of the following reactions will give tert-butyl benzene as the major product?2016 (Paper 2)Preparation and Properties of Monohalides
  9. 9Extraction of copper from copper pyrite C u F e S 2 involves2016 (Paper 2)Reduction to Crude Metal
  10. 10The CORRECT statement(s) for cubic close packed (ccp) three dimensional structure is (are)2016 (Paper 2)Cubic system
  11. 11Reagent(s) which can be used to bring about the following transformation is(are)2016 (Paper 2)Preparation and Properties of Alcohols
  12. 12Mixture(s) showing positive deviation from Raoult s law at 35 o C is (are)2016 (Paper 2)Vapour pressure and raoult's law
  13. 13The nitrogen containing compound produced in the reaction of H N O 3 with P 4 O 102016 (Paper 2)Phosphorus and Its Compounds
  14. 14According to Molecular Orbital Theory,2016 (Paper 2)Molecular Orbital Theory
  15. 15Paragraph: Thermal decomposition of gaseous to gaseous at takes place according to the following equation: The standard reaction Gibbs energ2016 (Paper 2)Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
  16. 16Paragraph: Thermal decomposition of gaseous to gaseous at takes place according to the following equation: The standard reaction Gibbs energ2016 (Paper 2)Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
  17. 17Paragraph: Treatment of compound with gave , which on heating with ammonia gave . The compound on treatment with produced . On strong heatin2016 (Paper 2)Preparation and Properties of Amides
  18. 18Paragraph: Treatment of compound with gave , which on heating with ammonia gave . The compound on treatment with produced . On strong heatin2016 (Paper 2)Properties and Preparation of Amino Acids

Mathematics

  1. 1Let P = 1 0 0 4 1 0 16 4 1 and I be the identity matrix of order 3 . If Q = q i j is a matrix such that P 50 - Q = I , then the value of q 32016 (Paper 2)Product of Matrices
  2. 2Area of the region { x , y R 2 : y x + 3 , 5 y x + 9 15 } is equal to2016 (Paper 2)Area bounded by two curves
  3. 3The value of k = 1 13 1 sin 4 + k - 1 6 sin 4 + k 6 is equal to2016 (Paper 2)Summation of Series
  4. 4Let b i 1 for i = 1 , 2 , . , 101 . Suppose log e b 1 , log e b 2 , . . , log e b 101 are in Arithmetic Progression (A.P.) with the common d2016 (Paper 2)Mixed Question on AP and GP
  5. 5The value of - 2 2 x 2 cos x 1 + e x d x is equal to2016 (Paper 2)Properties of Definite Integration
  6. 6Let P be the image of the point ( 3 , 1 , 7 ) with respect to the plane x - y + z = 3 . Then the equation of the plane passing through P and2016 (Paper 2)Plane in Space
  7. 7Let a , b R and f : R R be defined by f x = a cos x 3 - x + b x sin x 3 + x . Then f is -2016 (Paper 2)Differentiability
  8. 8Let f x = lim n n n x + n x + n 2 . . x + n n n ! x 2 + n 2 x 2 + n 2 4 . . x 2 + n 2 n 2 x n , for all x 0 . Then2016 (Paper 2)Miscellaneous
  9. 9Let f : R 0 , and g : R R be twice differentiable functions such that f and g are continuous functions on R . Suppose f ( 2 ) = g ( 2 ) = 0 2016 (Paper 2)Algebraic and Rational Limits
  10. 10Let u ^ = u 1 i ^ + u 2 j ^ + u 3 k ^ be a unit vector in R 3 and w ^ = 1 6 i ^ + j ^ + 2 k ^ . Given that there exists a vector v in R 3 su2016 (Paper 2)Product of 2 vectors
  11. 11Let P be the point on the parabola y 2 = 4 x which is at the shortest distance from the center S of the circle x 2 + y 2 - 4 x - 16 y + 64 =2016 (Paper 2)Normal to Parabola
  12. 12Let a , b R and a 2 + b 2 0 . Suppose S = z C : z = 1 a + i b t , t R , t 0 , where i = - 1 . If z = x + i y and z S , then x , y lies on2016 (Paper 2)Geometry of Complex Number
  13. 13Let a , , u R . Consider the system of linear equations a x + 2 y = 3 x - 2 y = Which of the following statement(s) is (are) correct ?2016 (Paper 2)System of Linear Equations
  14. 14Let f : - 1 2 , 2 R and g : - 1 2 , 2 R be functions defined by f x = x 2 - 3 and g x = x f x + 4 x - 7 f x , where y denotes the greatest i2016 (Paper 2)Differentiability
  15. 15Paragraph: Football teams and have to play two games against each other. It is assumed that the outcomes of the two games are independent. T2016 (Paper 2)Conditional Probability and Multiplication Theorem
  16. 16Paragraph: Football teams and have to play two games against each other. It is assumed that the outcomes of the two games are independent. T2016 (Paper 2)Conditional Probability and Multiplication Theorem
  17. 17Paragraph: Let and , for , be the foci of the ellipse Suppose a parabola having vertex at the origin and focus at intersects the ellipse at 2016 (Paper 2)Coordinate System
  18. 18Paragraph: Let and , for , be the foci of the ellipse Suppose a parabola having vertex at the origin and focus at intersects the ellipse at 2016 (Paper 2)Chord of Contact

Physics

  1. 1The electrostatic energy of Z protons uniformly distributed throughout a spherical nucleus of radius R is given by E = 3 5 Z Z - 1 e 2 4 0 R2016 (Paper 2)Nuclear energy
  2. 2The ends Q and R of two thin wires, PQ and RS, are soldered (joined) together. Initially each of the wires has a length of 1m at 10 o C . No2016 (Paper 2)Thermal Expansion
  3. 3An accident in a nuclear laboratory resulted in deposition of a certain amount of radioactive material of half-life 18 days inside the labor2016 (Paper 2)Radioactivity
  4. 4There are two vernier calipers both of which have 1 cm divided into 10 equal divisions on the main scale. The Vernier scale of one of the ca2016 (Paper 2)Experimental Physics
  5. 5A gas is enclosed in a cylinder with a movable frictionless piston. Its initial thermodynamic state at pressure P i = 10 5 P a a n d v o l u2016 (Paper 2)Thermodynamic Processes
  6. 6A small object is placed 50 cm to the left of thin convex lens of focal length 30 cm. A convex spherical mirror of radius of curvature 100 c2016 (Paper 2)Mirror Formula, Reflection in Spherical Mirror
  7. 7While conducting the Young's double slit experiment, a student replaced the two slits with a large opaque plate in the x-y plane containing 2016 (Paper 2)Interference of Light
  8. 8In an experiment to determine the acceleration due to gravity g, the formula used for the time period of a periodic motion is T = 2 7 R - r 2016 (Paper 2)Errors of Measurement
  9. 9A rigid wire loop of square shape having side of length L and resistance R is moving along the x-axis with a constant velocity v 0 in the pl2016 (Paper 2)Motional and Rotational EMF
  10. 10Light of wavelength λ p h falls on a cathode plate inside a vacuum tube as shown in the figure. The work function of the cathode surface is 2016 (Paper 2)Photoelectric Effect
  11. 11Two thin circular discs of mass m and 4m, having radii of a and 2a, respectively, are rigidly fixed by a massless, right rod of length l = 22016 (Paper 2)Angular momentum and Angular impulse
  12. 12Consider two identical galvanometers and two identical resistors with resistance R. If the internal resistance of the galvanometers R c R 2 2016 (Paper 2)Electric Instruments
  13. 13A block with mass M is connected by a massless spring with stiffness constant k to a rigid wall and moves without friction on a horizontal s2016 (Paper 2)Energy of Simple Harmonic Motion
  14. 14In the circuit shown below, the key is pressed at time t = 0. Which of the following statement(s) is(are) true?2016 (Paper 2)AC Circuits
  15. 15Paragraph: A frame of reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of referen2016 (Paper 2)Non-uniform Circular Motion
  16. 16Paragraph: A frame of reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of referen2016 (Paper 2)Non-uniform Circular Motion
  17. 17Paragraph: Consider an evacuated cylindrical chamber of height having rigid conducting plates at the ends and an insulating curved surface a2016 (Paper 2)Electric Current and Drift of Electrons
  18. 18Paragraph: Consider an evacuated cylindrical chamber of height having rigid conducting plates at the ends and an insulating curved surface a2016 (Paper 2)Electric Instruments

Frequently Asked Questions

1.How many questions are in the JEE Advanced 2016 Paper 2 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 1 paper for the same year?

The JEE Advanced 2016 Paper 1 paper is listed separately - you can switch to it from the "JEE Advanced Paper Wise PYQs" panel, under JEE Advanced 2016.

4.What is the structure of the JEE Advanced 2016 Paper 2 paper?

The JEE Advanced 2016 Paper 2 paper on MARKS has 54 questions, organised by subject:

  • Chemistry: 18 questions - 10 single-correct and 8 multiple-correct.
  • Mathematics: 18 questions - 10 single-correct and 8 multiple-correct.
  • Physics: 18 questions - 10 single-correct and 8 multiple-correct.
5.What is the difficulty level of the JEE Advanced 2016 Paper 2 paper?

Each question on MARKS carries a difficulty rating. Of the 54 rated questions in this paper, 9 (17%) are easy, 32 (59%) are medium and 13 (24%) are hard. Subject wise:

  • Chemistry: 3 easy, 12 medium, 3 hard
  • Mathematics: 4 easy, 10 medium, 4 hard
  • Physics: 2 easy, 10 medium, 6 hard
6.Which chapters had the most questions in the JEE Advanced 2016 Paper 2 paper?

The chapters with the most questions in each subject were:

  • Chemistry: Biomolecules (2) and Chemical Equilibrium (2).
  • Mathematics: Continuity and Differentiability (2), Limits (2), and Probability (2).
  • Physics: Current Electricity (3), Laws of Motion (2), and Nuclear Physics (2).
7.Where can I find the solutions for the JEE Advanced 2016 Paper 2 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 2 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 2 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.