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JEE Advanced 2021 Paper 2

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Advanced 2021 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 57 questions in total - 10 easy (18%), 31 moderate (54%) and 16 tough (28%). That's a fairly typical mix for this exam. By subject: Physics 11% easy, 47% moderate, 42% tough; Chemistry 26% easy, 58% moderate, 16% tough; Mathematics 16% easy, 58% moderate, 26% tough.

Chemistry questions were spread across 13 chapters, with Electrochemistry (3), p Block Elements (Group 15, 16, 17 & 18) (3), and Redox Reactions (2) carrying the most weight. Mathematics questions were spread across 10 chapters, with Application of Derivatives (4), Definite Integration (4), and Parabola (3) carrying the most weight. Physics questions were spread across 14 chapters, with Alternating Current (2), Magnetic Effects of Current (2), and Mechanical Properties of Fluids (2) carrying the most weight.

Chemistry

  1. 1The reaction sequence(s) that would lead to o -xylene as the major product is(are)2021 (Paper 2)Properties and Preparation of Alkanes
  2. 2Correct option(s) for the following sequence of reactions is(are)2021 (Paper 2)Preparation and Properties of Isocyanides
  3. 3For the following reaction 2 X + Y k P the rate of reaction is d [ P ] dt = k [ X ] . Two moles of X are mixed with one mole of Y to make 1 2021 (Paper 2)Rate law and rate constant
  4. 4Some standard electrode potentials at 298 K are given below: Pb 2 + / Pb - 0 . 13 V Ni 2 + / Ni - 0 . 24 V Cd 2 + / Cd - 0 . 40 V Fe 2 + / F2021 (Paper 2)Cells and Electrode Potential, Nernst Equation
  5. 5The pair(s) of complexes wherein both exhibit tetrahedral geometry is(are) (Note: py = pyridine Given: Atomic numbers of Fe , Co , Ni and Cu2021 (Paper 2)Werner's theory and Valence Bond Theory
  6. 6The correct statement(s) related to oxoacids of phosphorous is(are)2021 (Paper 2)Phosphorus and Its Compounds
  7. 7At , the limiting molar conductivity of a weak monobasic acid is . At , for an aqueous solution of the acid the degree of dissociation is an2021 (Paper 2)Conductance and Conductivity
  8. 8At , the limiting molar conductivity of a weak monobasic acid is . At , for an aqueous solution of the acid the degree of dissociation is an2021 (Paper 2)Conductance and Conductivity
  9. 9Reaction of g of with quantitatively produced a salt. Entire amount of the salt reacted with of nitrobenzene in the presence of required amo2021 (Paper 2)Laws of chemical combination
  10. 10Reaction of g of with quantitatively produced a salt. Entire amount of the salt reacted with of nitrobenzene in the presence of required amo2021 (Paper 2)Laws of chemical combination
  11. 11A sample containing iron is completely dissolved in cold dilute to prepare a of solution. Titration of of this solution requires of solution2021 (Paper 2)Redox titration
  12. 12A sample containing iron is completely dissolved in cold dilute to prepare a of solution. Titration of of this solution requires of solution2021 (Paper 2)Redox titration
  13. 13Paragraph: The amount of energy required to break a bond is same as the amount of energy released when the same bond is formed. In gaseous s2021 (Paper 2)Bond Cleavage
  14. 14Paragraph: The amount of energy required to break a bond is same as the amount of energy released when the same bond is formed. In gaseous s2021 (Paper 2)Preparation and Properties of Monohalides
  15. 15Paragraph: The reaction of with freshly prepared solution produces a dark blue precipitate called Turnbull's blue. Reaction of with the solu2021 (Paper 2)Compounds of Transition Metals
  16. 16Paragraph: The reaction of with freshly prepared solution produces a dark blue precipitate called Turnbull's blue. Reaction of with the solu2021 (Paper 2)Nitrogen and Its Compounds
  17. 17One mole of an ideal gas at 900 K , undergoes two reversible processes, I followed by II , as shown below. If the work done by the gas in th2021 (Paper 2)First Law and Basic Fundamentals of Thermodynamics
  18. 18Consider a helium He atom that absorbs a photon of wavelength 330 nm . The change in the velocity (in cm s - 1 ) of He atom after the photon2021 (Paper 2)Dual Behaviour of Matter and Heisenberg Uncertainty Principle
  19. 19Ozonolysis of ClO 2 produces an oxide of chlorine. The average oxidation state of chlorine in this oxide is ______ .2021 (Paper 2)Halogens and Its Compounds

Mathematics

  1. 1Let S 1 = i , j , k : i , j , k 1 , 2 , , 10 S 2 = i , j : 1 i j + 2 10 , i , j 1 , 2 , , 10 S 3 = i , j , k , l : 1 i j k l , i , j , k , l2021 (Paper 2)Selection of one or more item
  2. 2Consider a triangle P Q R having sides of lengths p , q and r opposite to the angles P , Q and R , respectively. Then which of the following2021 (Paper 2)Cosine Rule and Projection Formula
  3. 3Let f : - 2 , 2 be a continuous function such that f 0 = 1 and 0 3 f t d t = 0 Then which of the following statements is (are) TRUE?2021 (Paper 2)Leibnitz Rule of Differentiation
  4. 4For any real numbers and , let y , x , x R , be the solution of the differential equation d y d x + y = x e x , y 1 = 1 Let S = y , x : , R 2021 (Paper 2)Linear Differential Equation
  5. 5Let O be the origin and O A = 2 i ^ + 2 j ^ + k ^ , O B = i ^ - 2 j ^ + 2 k ^ and O C = 1 2 O B - O A for some 0 . If O B O C = 9 2 , then w2021 (Paper 2)Product of 2 vectors
  6. 6Let E denote the parabola y 2 = 8 x . Let P = - 2 , 4 , and let Q and Q ' be two distinct points on E such that the lines P Q and P Q ' are 2021 (Paper 2)Properties of Tangent
  7. 7Consider the region and . Let be the family of all circles that are contained in and have centers on the -axis. Let be the circle that has l2021 (Paper 2)Common Tangent
  8. 8Consider the region and . Let be the family of all circles that are contained in and have centers on the -axis. Let be the circle that has l2021 (Paper 2)Common Tangent
  9. 9Let and be defined by and where, for any positive integer and real numbers denotes the product of Let and , respectively, denote the number 2021 (Paper 2)Maxima Minima
  10. 10Let and be defined by f_{2}(x)=98(x-1)^{50}-600(x-1)^{49}+2450, x > 0 n a_{1}, a_{2}, , a_{n}, _{i=1}^{n} a_{i} a_{1}, a_{2}, , a_{n} . m_{i2021 (Paper 2)Maxima Minima
  11. 11Let , and be functions such that and , for all Define The value of 16 S 1 is ___.2021 (Paper 2)Properties of Definite Integration
  12. 12Let , and be functions such that and , for all Define The value of 48 S 2 2 is ____.2021 (Paper 2)Properties of Definite Integration
  13. 13Paragraph: Let , where Consider the geometric progression Let and, for , let denote the sum of the first terms of this progression. For , le2021 (Paper 2)Geometric Progression
  14. 14Paragraph: Let , where Consider the geometric progression Let and, for , let denote the sum of the first terms of this progression. For , le2021 (Paper 2)Geometric Progression
  15. 15Paragraph: Let and be functions such that , , , and Question: Which of the following statements is TRUE ?2021 (Paper 2)Monotonicity
  16. 16Paragraph: Let and be functions such that , , , and Question: Which of the following statements is TRUE ?2021 (Paper 2)Monotonicity
  17. 17A number is chosen at random from the set 1 , 2 , 3 , , 2000 . Let p be the probability that the chosen number is a multiple of 3 or 7 . The2021 (Paper 2)Classical Definition of Probability
  18. 18Let E be the ellipse x 2 16 + y 2 9 = 1 . For any three distinct points P , Q and Q on E , let M P , Q be the mid-point of the line segment 2021 (Paper 2)Chord with given Middle Point
  19. 19For any real number x , let x denotes the largest integer less than or equal to x . If I = 0 10 10 x x + 1 d x , then the value of 9 I is __2021 (Paper 2)Properties of Definite Integration

Physics

  1. 1One end of a horizontal uniform beam of weight W and length L is hinged on a vertical wall at point O and its other end is supported by a li2021 (Paper 2)Newton's laws of motion
  2. 2A source, approaching with speed u towards the open end of a stationary pipe of length L , is emitting a sound of frequency f s . The farthe2021 (Paper 2)Organ Pipe (Vibration of Air Column)
  3. 3For a prism of prism angle = 60 , the refractive indices of the left half and the right half are, respectively, n 1 and n 2 , n 2 n 1 as sho2021 (Paper 2)Prism and Dispersion of Light
  4. 4A physical quantity S is defined as S = E B 0 . where E is electric field, B is magnetic field and 0 is the permeability of free space. The 2021 (Paper 2)Dimensions
  5. 5A heavy nucleus N , at rest, undergoes fission N P + Q , where P and Q are two lighter nuclei. Let = M N - M P - M Q , where M P , M Q and M2021 (Paper 2)Nuclear reactions
  6. 6Two concentric circular loops, one of radius R and the other of radius 2 R , lie in the x y -plane with the origin as their common center, a2021 (Paper 2)Biot-Savart's Law and Ampere's Circuital Law
  7. 7A soft plastic bottle, filled with water of density , carries an inverted glass test-tube with some air (ideal gas) trapped as shown in the 2021 (Paper 2)Archmidies Principle
  8. 8A soft plastic bottle, filled with water of density , carries an inverted glass test-tube with some air (ideal gas) trapped as shown in the 2021 (Paper 2)Archmidies Principle
  9. 9A pendulum consists of a bob of mass and a massless inextensible string of length . It is suspended from a fixed point at height above a fri2021 (Paper 2)Angular momentum and Angular impulse
  10. 10A pendulum consists of a bob of mass and a massless inextensible string of length . It is suspended from a fixed point at height above a fri2021 (Paper 2)Rotational kinematics
  11. 11In a circuit, a metal filament lamp is connected in series with a capacitor of capacitance across a supply. The power consumed by the lamp i2021 (Paper 2)AC Circuits
  12. 12In a circuit, a metal filament lamp is connected in series with a capacitor of capacitance across a supply. The power consumed by the lamp i2021 (Paper 2)AC Circuits
  13. 13Paragraph A special metal conducts electricity without any resistance. A closed wire loop, made of , does not allow any change in flux throu2021 (Paper 2)Induced Electric Field
  14. 14Paragraph A special metal conducts electricity without any resistance. A closed wire loop, made of , does not allow any change in flux throu2021 (Paper 2)Magnetic Dipole
  15. 15Paragraph A thermally insulating cylinder has a thermally insulating and frictionless movable partition in the middle, as shown in the figur2021 (Paper 2)Thermodynamic Processes
  16. 16Paragraph A thermally insulating cylinder has a thermally insulating and frictionless movable partition in the middle, as shown in the figur2021 (Paper 2)Thermodynamic Processes
  17. 17In order to measure the internal resistance r 1 of a cell of emf , a meter bridge of wire resistance R 0 = 50 , a resistance R 0 2 , another2021 (Paper 2)Experimental Physics
  18. 18The distance between two stars of masses 3 M S and 6 M S is 9 R . Here R is the mean distance between the centres of the Earth and the Sun, 2021 (Paper 2)Motion of satellite
  19. 19In a photoemission experiment, the maximum kinetic energies of photoelectrons from metals P , Q and R are E P , E Q and E R , respectively, 2021 (Paper 2)Photoelectric Effect

Frequently Asked Questions

1.How many questions are in the JEE Advanced 2021 Paper 2 paper?

This paper has 57 questions in total - 19 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 2021 Paper 1 paper is listed separately - you can switch to it from the "JEE Advanced Paper Wise PYQs" panel, under JEE Advanced 2021.

4.What is the structure of the JEE Advanced 2021 Paper 2 paper?

The JEE Advanced 2021 Paper 2 paper on MARKS has 57 questions, organised by subject:

  • Chemistry: 19 questions - 4 single-correct, 6 multiple-correct, and 9 numerical-value.
  • Mathematics: 19 questions - 4 single-correct, 6 multiple-correct, and 9 numerical-value.
  • Physics: 19 questions - 4 single-correct, 6 multiple-correct, and 9 numerical-value.
5.What is the difficulty level of the JEE Advanced 2021 Paper 2 paper?

Each question on MARKS carries a difficulty rating. Of the 57 rated questions in this paper, 10 (18%) are easy, 31 (54%) are medium and 16 (28%) are hard. Subject wise:

  • Chemistry: 5 easy, 11 medium, 3 hard
  • Mathematics: 3 easy, 11 medium, 5 hard
  • Physics: 2 easy, 9 medium, 8 hard
6.Which chapters had the most questions in the JEE Advanced 2021 Paper 2 paper?

The chapters with the most questions in each subject were:

  • Chemistry: Electrochemistry (3), p Block Elements (Group 15, 16, 17 & 18) (3), and Redox Reactions (2).
  • Mathematics: Application of Derivatives (4), Definite Integration (4), and Parabola (3).
  • Physics: Alternating Current (2), Magnetic Effects of Current (2), and Mechanical Properties of Fluids (2).
7.Where can I find the solutions for the JEE Advanced 2021 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 2021 Paper 2 paper to check my preparation?

Set a timer, attempt the 57 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 2021 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.