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JEE Advanced 2022 Paper 2

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Advanced 2022 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 - 12 easy (22%), 26 moderate (48%) and 16 tough (30%). That's a fairly typical mix for this exam. By subject: Physics 28% easy, 50% moderate, 22% tough; Chemistry 22% easy, 44% moderate, 33% tough; Mathematics 17% easy, 50% moderate, 33% tough.

Chemistry questions were spread across 14 chapters, with p Block Elements (Group 15, 16, 17 & 18) (4), Hydrocarbons (2), and Biomolecules (1) carrying the most weight. Mathematics questions were spread across 14 chapters, with Definite Integration (2), Differential Equations (2), and Matrices (2) carrying the most weight. Physics questions were spread across 12 chapters, with Electrostatics (3), Current Electricity (2), and Oscillations (2) carrying the most weight.

Chemistry

  1. 1Concentration of H 2 SO 4 and Na 2 SO 4 in a solution is 1 M and 1 . 8 10 - 2 M , respectively. Molar solubility of PbSO 4 in the same solut2022 (Paper 2)Solubility
  2. 2An aqueous solution is prepared by dissolving 0 . 1 mole of an ionic salt in 1 . 8 kg of water at 35 C . The salt remains 90 % dissociated i2022 (Paper 2)Vapour pressure and raoult's law
  3. 3Consider the strong electrolytes Z m X n , U m Y p and V m X n . Limiting molar conductivity of U m Y p and V m X n are 250 and 440 S cm 2 m2022 (Paper 2)Conductance and Conductivity
  4. 4The reaction of Xe and O 2 F 2 gives a Xe compound P . The number of moles of HF produced by the complete hydrolysis of 1 mol of P is _____ 2022 (Paper 2)Noble Gases
  5. 5Thermal decomposition of AgNO 3 produces two paramagnetic gases. The total number of electrons present in the antibonding molecular orbitals2022 (Paper 2)Hybridisation and VSEPR Theory
  6. 6The number of isomeric tetraenes (NOT containing sp-hybridized carbon atoms) that can be formed from the following reaction sequence is ____2022 (Paper 2)Reactions of alkynes
  7. 7The number of - CH 2 - (methylene) groups in the product formed from the following reaction sequence is _____ .2022 (Paper 2)Reactions of alkenes
  8. 8The total number of chiral molecules formed from one molecule of P on complete ozonolysis O 3 , Zn / H 2 O is _____2022 (Paper 2)Isomerism of Organic Compounds
  9. 9To check the principle of multiple proportions, a series of pure binary compounds P m Q n were analysed and their composition is tabulated b2022 (Paper 2)Laws of chemical combination
  10. 10The correct option(s) about entropy (S) is(are) [ R = gas constant, F = Faraday constant, T = Temperature]2022 (Paper 2)Entropy and Second law of thermodynamics
  11. 11The compound(s) which react(s) with NH 3 to give boron nitride BN is(are)2022 (Paper 2)Nitrogen and Its Compounds
  12. 12The correct option(s) related to the extraction of iron from its ore in the blast furnace operating in the temperature range 900 - 1500 K is2022 (Paper 2)Extraction of Metals
  13. 13Considering the following reaction sequence, the correct statement(s) is(are)2022 (Paper 2)Preparation and Properties of Aryl Halides
  14. 14Among the following, the correct statement(s) about polymers is(are)2022 (Paper 2)Preparation and Properties of Polymers
  15. 15Atom X occupies the fcc lattice sites as well as alternate tetrahedral voids of the same lattice. The packing efficiency (in % ) of the resu2022 (Paper 2)Crystal Structure of Solids
  16. 16The reaction of HClO 3 with HCl gives a paramagnetic gas, which upon reaction with O 3 produces2022 (Paper 2)Halogens and Its Compounds
  17. 17The reaction of Pb NO 3 2 and NaCl in water produces a precipitate that dissolves upon the addition of HCl of appropriate concentration. The2022 (Paper 2)Nitrogen and Its Compounds
  18. 18Treatment of D -glucose with aqueous NaOH results in a mixture of monosaccharides, which are2022 (Paper 2)Preparation and Reactions of Glucose

Mathematics

  1. 1Let and be real numbers such that - 4 0 4 . If sin + = 1 3 and cos - = 2 3 , then the greatest integer less than or equal to sin cos + cos s2022 (Paper 2)Transformation Formulas
  2. 2If y x is the solution of the differential equation x d y - y 2 - 4 y d x = 0 for x 0 , y 1 = 2 , and the slope of the curve y = y x is neve2022 (Paper 2)Variable Separable Form
  3. 3The greatest integer less than or equal to 1 2 log 2 x 3 + 1 d x + 1 log 2 9 2 x - 1 1 3 d x is2022 (Paper 2)Properties of Definite Integration
  4. 4The product of all positive real values of x satisfying the equation x 16 log 5 x 3 - 68 log 5 x = 5 - 16 is2022 (Paper 2)Logarithm
  5. 5If = lim x 0 e x 3 - 1 - x 3 1 3 + 1 - x 2 1 2 - 1 sin x x sin 2 x , then the value of 6 is2022 (Paper 2)Exponential and logarithmic limits
  6. 6Let be a real number. Consider the matrix A = 0 1 2 1 - 2 3 1 - 2 . If A 7 - - 1 A 6 - A 5 is a singular matrix, then the value of 9 is ____2022 (Paper 2)Product of Matrices
  7. 7Consider the hyperbola x 2 100 - y 2 64 = 1 with foci at S and S 1 , where S lies on the positive x -axis. Let P be a point on the hyperbola2022 (Paper 2)Tangent to hyperbola
  8. 8Consider the functions f , g : defined by f x = x 2 + 5 12 and g x = 2 1 - 4 x 3 , x 3 4 , 0 , x 3 4 If is the area of the region x , y : x 2022 (Paper 2)Area bounded by Miscellaneous Curves
  9. 9Let P Q R S be a quadrilateral in a plane, where Q R = 1 , P Q R = Q R S = 70 , P Q S = 15 and P R S = 40 . If R P S = , P Q = and P S = , t2022 (Paper 2)Locus
  10. 10Let = k = 1 sin 2 k 6 . Let g : 0 , 1 be the function defined by g x = 2 a x + 2 a 1 - x . Then, which of the following statements is/are TR2022 (Paper 2)Trigonometric Series
  11. 11Let z denote the complex conjugate of a complex number z . If z is a non-zero complex number for which both real and imaginary parts of z 2 2022 (Paper 2)Conjugate, modulus and argument
  12. 12Let G be a circle of radius R 0 . Let G 1 , G 2 , , G n be n circles of equal radius r 0 . Suppose each of the n circles G 1 , G 2 , , G n t2022 (Paper 2)Family of Circle
  13. 13Let i ^ , j ^ and k ^ be the unit vectors along the three positive coordinate axes. Let a = 3 i ^ + j ^ - k ^ b = i ^ + b 2 j ^ + b 3 k ^ , 2022 (Paper 2)Product of 2 vectors
  14. 14For x , let the function y x be the solution of the differential equation d y d x + 12 y = cos 12 x , y 0 = 0 . Then, which of the following2022 (Paper 2)Linear Differential Equation
  15. 15Consider 4 boxes, where each box contains 3 red balls and 2 blue balls. Assume that all 20 balls are distinct. In how many different ways ca2022 (Paper 2)Permutation
  16. 16If M = 5 2 3 2 - 3 2 - 1 2 , then which of the following matrices is equal to M 2022 ?2022 (Paper 2)Product of Matrices
  17. 17Suppose that Box-I contains 8 red, 3 blue and 5 green balls, Box-ll contains 24 red, 9 blue and 15 green balls, Box-III contains 1 blue, 12 2022 (Paper 2)Baye's Theorem
  18. 18For positive integer n , define f n = n + 16 + 5 n - 3 n 2 4 n + 3 n 2 + 32 + n - 3 n 2 8 n + 3 n 2 + 48 - 3 n - 3 n 2 12 n + 3 n 2 + + 25 n2022 (Paper 2)Definite as Limit of Sum

Physics

  1. 1A particle of mass 1 kg is subjected to a force which depends on the position as F = - k x i ^ + y j ^ kg m s - 2 with k = 1 kg s - 2 . At t2022 (Paper 2)Simple Harmonic Motion
  2. 2In a radioactive decay chain reaction, 90 230 Th nucleus decays into Po 84 214 nucleus. The ratio of the number of to number of - particles 2022 (Paper 2)Radioactivity
  3. 3Two resistances R 1 = X and R 2 = 1 are connected to a wire A B of uniform resistivity, as shown in the figure. The radius of the wire varie2022 (Paper 2)Wheatstone Bridge
  4. 4In a particular system of units, a physical quantity can be expressed in terms of the electric charge e , electron mass m e . Planck s const2022 (Paper 2)Dimensions
  5. 5Consider a configuration of n identical units, each consisting of three layers. The first layer is a column of air of height h = 1 3 cm , an2022 (Paper 2)Refraction of light from plane surface
  6. 6A charge q is surrounded by a closed surface consisting of an inverted cone of height h and base radius R , and a hemisphere of radius R as 2022 (Paper 2)Electric Flux and Gauss Law
  7. 7On a frictionless horizontal plane, a bob of mass m = 0 . 1 kg is attached to a spring with natural length l 0 = 0 . 1 m . The spring consta2022 (Paper 2)Time Period and Frequency
  8. 8An object and a concave mirror of focal length f = 10 cm both move along the principal axis of the mirror with constant speeds. The object m2022 (Paper 2)Mirror Formula, Reflection in Spherical Mirror
  9. 9In the figure, the inner (shaded) region A represents a sphere of radius r A = 1 , within which the electrostatic charge density varies with2022 (Paper 2)Electric Field and Electric Field Lines
  10. 10In Circuit- 1 and Circuit- 2 shown in the figures, R 1 = 1 , R 2 = 2 and R 3 = 3 . P 1 and P 2 are the power dissipations in Circuit- 1 and 2022 (Paper 2)Electric Power and Heating Effect of Current
  11. 11A bubble has surface tension S . The ideal gas inside the bubble has ratio of specific heats = 5 3 . The bubble is exposed to the atmosphere2022 (Paper 2)Thermodynamic Processes
  12. 12A disk of radius R with uniform positive charge density is placed on the x y plane with its center at the origin. The Coulomb potential alon2022 (Paper 2)Electric Potential and Potential Energy
  13. 13A double slit setup is shown in the figure. One of the slits is in medium 2 of refractive index n 2 . The other slit is at the interface of 2022 (Paper 2)Wave Theory and Wavefronts
  14. 14In the given P - V diagram, a monoatomic gas = 5 3 is first compressed adiabatically from state A state B . Then it expands isothermally fro2022 (Paper 2)Thermodynamic Processes
  15. 15A flat surface of a thin uniform disk A of radius R is glued to a horizontal table. Another thin uniform disk B of mass M and with the same 2022 (Paper 2)Angular momentum and Angular impulse
  16. 16When light of a given wavelength is incident on a metallic surface, the minimum potential needed to stop the emitted photoelectrons is 6 . 02022 (Paper 2)Photoelectric Effect
  17. 17Area of the cross-section of a wire is measured using a screw gauge. The pitch of the main scale is 0 . 5 mm . The circular scale has 100 di2022 (Paper 2)Experimental Physics
  18. 18Which one of the following options represents the magnetic field B at O due to the current flowing in the given wire segments lying on the x2022 (Paper 2)Magnetic Field

Frequently Asked Questions

1.How many questions are in the JEE Advanced 2022 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 2022 Paper 1 paper is listed separately - you can switch to it from the "JEE Advanced Paper Wise PYQs" panel, under JEE Advanced 2022.

4.How is the JEE Advanced 2022 Paper 2 paper structured?

The JEE Advanced 2022 Paper 2 paper on MARKS has 54 questions, organised by subject:

  • Chemistry: 18 questions - 4 single-correct, 6 multiple-correct, and 8 numerical-value.
  • Mathematics: 18 questions - 4 single-correct, 6 multiple-correct, and 8 numerical-value.
  • Physics: 18 questions - 4 single-correct, 6 multiple-correct, and 8 numerical-value.
5.How difficult is the JEE Advanced 2022 Paper 2 paper?

Each question on MARKS carries a difficulty rating. Of the 54 rated questions in this paper, 12 (22%) are easy, 26 (48%) are medium and 16 (30%) are hard. Subject wise:

  • Chemistry: 4 easy, 8 medium, 6 hard
  • Mathematics: 3 easy, 9 medium, 6 hard
  • Physics: 5 easy, 9 medium, 4 hard
6.Which chapters were asked the most in the JEE Advanced 2022 Paper 2 paper?

The chapters with the most questions in each subject were:

  • Chemistry: p Block Elements (Group 15, 16, 17 & 18) (4) and Hydrocarbons (2).
  • Mathematics: Definite Integration (2), Differential Equations (2), and Matrices (2).
  • Physics: Electrostatics (3), Current Electricity (2), and Oscillations (2).
7.Where can I find the solutions for the JEE Advanced 2022 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 2022 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 2022 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.