Jump to a section

JEE Advanced 2013 Paper 2

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Advanced 2013 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 60 questions in total - 12 easy (20%), 35 moderate (58%) and 13 tough (22%). That's a fairly typical mix for this exam. By subject: Physics 30% easy, 60% moderate, 10% tough; Chemistry 20% easy, 60% moderate, 20% tough; Mathematics 10% easy, 55% moderate, 35% tough.

Chemistry questions were spread across 13 chapters, with p Block Elements (Group 15, 16, 17 & 18) (4), Alcohols Phenols and Ethers (3), and Electrochemistry (2) carrying the most weight. Mathematics questions were spread across 13 chapters, with Application of Derivatives (4), Parabola (2), and Probability (2) carrying the most weight. Physics questions were spread across 17 chapters, with Nuclear Physics (3), Electromagnetic Induction (2), and Alternating Current (1) carrying the most weight.

Chemistry

  1. 1The correct statement(s) about O 3 is(are)2013 (Paper 2)Oxygen and Its Compounds
  2. 2In the nuclear transmutation 4 9 Be + X 4 8 Be + Y , identify X , Y .2013 (Paper 2)Parallel and Sequencial rate laws
  3. 3The carbon-based reduction method is NOT used for the extraction of2013 (Paper 2)Reduction to Crude Metal
  4. 4The thermal dissociation equilibrium of CaCO 3 s is studied under different conditions. CaCO 3 s CaO s + CO 2 g For this equilibrium, the co2013 (Paper 2)Le chatelier's principle
  5. 5The K sp of Ag 2 CrO 4 is 1 . 1 1 0 - 1 2 at 298 K . The solubility (in mol L - 1 ) of Ag 2 CrO 4 in a 0 . 1 M AgNO 3 solution is2013 (Paper 2)Solubility
  6. 6In the following reaction, the product(s) formed is/are:2013 (Paper 2)Reactions of Phenol
  7. 7The major product(s) of the following reaction is/are:2013 (Paper 2)Reactions of Phenol
  8. 8After completion of the reactions (I and II), the organic compound(s) in the reaction mixtures is(are):2013 (Paper 2)Tests for aldehyde and ketones
  9. 9Paragraph: A fixed mass m of a gas is subjected to transformation of states from K to L to M to N and back to K as shown in the figure Quest2013 (Paper 2)First Law and Basic Fundamentals of Thermodynamics
  10. 10Paragraph: A fixed mass m of a gas is subjected to transformation of states from K to L to M to N and back to K as shown in the figure Quest2013 (Paper 2)First Law and Basic Fundamentals of Thermodynamics
  11. 11Paragraph: The reactions of gas with cold-dilute and hot-concentrated in water give sodium salts of two (different) oxoacids of chlorine, an2013 (Paper 2)Phosphorus and Its Compounds
  12. 12Paragraph: The reactions of gas with cold-dilute and hot-concentrated in water give sodium salts of two (different) oxoacids of chlorine, an2013 (Paper 2)Halogens and Its Compounds
  13. 13Paragraph: An aqueous solution of a mixture of two inorganic salts, when treated with dilute ?, gave a precipitate and a filtrate . The prec2013 (Paper 2)Compounds of Transition Metals
  14. 14Paragraph: An aqueous solution of a mixture of two inorganic salts, when treated with dilute ?, gave a precipitate and a filtrate . The prec2013 (Paper 2)Identification of Basic Radicals
  15. 15Paragraph: and are isomers of dicarboxylic acid . Both decolorize . On heating, forms the cyclic anhydride. Upon treatment with dilute alkal2013 (Paper 2)Isomerism of Organic Compounds
  16. 16Paragraph: and are isomers of dicarboxylic acid . Both decolorize . On heating, forms the cyclic anhydride. Upon treatment with dilute alkal2013 (Paper 2)Reactions of aromatic compounds
  17. 17Match the chemical conversions in List I with the appropriate reagents in List II and select the correct answer using the code given below t2013 (Paper 2)Reactions of Alcohols
  18. 18The unbalanced chemical reactions given in List I show missing reagent or condition (?) which are provided in list II. match List I with Lis2013 (Paper 2)Noble Gases
  19. 19The standard reduction potential data at 25 C is given below. E Fe 3 + Fe 2 + = + 0 7 7 V ; E Fe 2 + Fe = - 0 4 4 V E Cu 2 + Cu = + 0 3 4 V 2013 (Paper 2)Cells and Electrode Potential, Nernst Equation
  20. 20An aqueous solution of X is added slowly to an aqueous solution of Y as shown in List I. The variation in conductivity of these reactions is2013 (Paper 2)Conductance and Conductivity

Mathematics

  1. 1Let w = 3 + i 2 and P = w n : n = 1, 2, 3, .Further H 1 = z C : Re z 1 2 and H 2 = z C : Re z - 1 2 , where C is the set of all complex numb2013 (Paper 2)Geometry of Complex Number
  2. 2If 3 x = 4 x - 1 , then x =2013 (Paper 2)Logarithm
  3. 3Let be a complex cube root of unity with 1 and P = p ij be a n x n matrix with p ij = i + j . Then P 2 0 , when n =2013 (Paper 2)Basic Algebra of Matrices
  4. 4The function f x = 2 x + x + 2 - x + 2 - 2 x has a local minimum or a local maximum at x =2013 (Paper 2)Maxima Minima
  5. 5For a R (the set of all real numbers), a - 1 , lim n 1 a + 2 a + + n a n + 1 a - 1 na + 1 + na + 2 + + na + n = 1 6 0 Then a =2013 (Paper 2)Definite as Limit of Sum
  6. 6Circle(s) touching x -axis at a distance 3 from the origin and having an intercept of length 2 7 on y -axis is (are)2013 (Paper 2)Equation of Circle & its intercept
  7. 7Two lines L 1 : x = 5 , y 3 - = z - 2 and L 2 : x = , y - 1 = z 2 - are coplanar. Then can take value(s)2013 (Paper 2)Line in Space
  8. 8In a P Q R , P is the largest angle and cos P = 1 3 . Further the incircle of the triangle touches the sides P Q , Q R and R P at N , L and 2013 (Paper 2)Cosine Rule and Projection Formula
  9. 9Paragraph: Let , where and . Question: Area of2013 (Paper 2)Coordinate System
  10. 10Paragraph: Let , where and . Question:2013 (Paper 2)Coordinate System
  11. 11Paragraph: A box contains white ball, red balls and black balls. Another box contains white balls, red balls and black balls. A third box co2013 (Paper 2)Baye's Theorem
  12. 12Paragraph: A box contains white ball, red balls and black balls. Another box contains white balls, red balls and black balls. A third box co2013 (Paper 2)Baye's Theorem
  13. 13Paragraph: Let (the set of all real numbers) be a function. Suppose the function is twice differentiable, and satisfies Question: Which of t2013 (Paper 2)Mean Value Theorem
  14. 14Paragraph: Let (the set of all real numbers) be a function. Suppose the function is twice differentiable, and satisfies Question: If the fun2013 (Paper 2)Mean Value Theorem
  15. 15Paragraph: Let be a focal chord of the parabola . The tangents to the parabola at and meet at a point lying on the line . Question: Length o2013 (Paper 2)Chord of parabola
  16. 16Paragraph: Let be a focal chord of the parabola . The tangents to the parabola at and meet at a point lying on the line . Question: If chord2013 (Paper 2)Chord of parabola
  17. 17A line L : y = m x + 3 meets y - a x is at E(0,3) and the arc of the parabola y 2 = 1 6 x , 0 y 6 at the point F x 0 y 0 .The tangent to the2013 (Paper 2)Maxima Minima
  18. 18Consider the lines L 1 : x - 1 2 = y - 1 = z + 3 1 , L 2 : x - 4 1 = y + 3 1 = z + 3 2 and the planes P 1 : 7 x + y + 2 z = 3 , P 2 : 3 x + 2013 (Paper 2)Line and Plane
  19. 19Match List-I with List - II and select the correct answer using the code given below the lists List-I List-II A. Volume of parallelepiped de2013 (Paper 2)Vector Triple Product
  20. 20Match List I with List II and select the correct answer using the code given below the lists : List - I List - II A. 1 y 2 cos tan - 1 y + y2013 (Paper 2)Multiple Angles

Physics

  1. 1Using the expression 2 d sin = , one calculates the values of d by measuring the corresponding angle in the range 0 to 90 . The wavelength i2013 (Paper 2)Errors of Measurement
  2. 2The figure below shows the variation of specific heat capacity ( C ) of a solid as a function of temperature ( T ). The temperature is incre2013 (Paper 2)Conduction
  3. 3The radius of the orbit of an electron in a Hydrogen-like atom is 4.5 a 0 , where a 0 is the Bohr radius. Its orbital angular momentum is 3 2013 (Paper 2)Bohr's Atomic Model
  4. 4Two bodies, each of mass M , are kept fixed with a separation of 2 L . A particle of mass m is projected from the midpoint of the line joini2013 (Paper 2)Gravitational potential and Potential Energy
  5. 5A particle of mass m is attached to one end of a massless spring of force constant k , lying on a frictionless horizontal plane. The other e2013 (Paper 2)Simple Harmonic Motion
  6. 6Two vehicles, each moving with speed u on the same horizontal straight road, are approaching each other. Wind blows along the road with velo2013 (Paper 2)Doppler's Effect
  7. 7A steady current I flows along an infinitely long hollow cylindrical conductor of radius R . This cylinder is placed co-axially inside an in2013 (Paper 2)Magnetic Field
  8. 8Two non-conducting spheres of radii R 1 and R 2 and carrying uniform volume charge densities + and - , respectively, are placed such that th2013 (Paper 2)Electric Potential and Potential Energy
  9. 9Paragraph: The mass of a nucleus is less than the sum of the masses of number of neutrons and number of protons in the nucleus. The energy e2013 (Paper 2)Nuclear energy
  10. 10Paragraph: The mass of a nucleus is less than the sum of the masses of number of neutrons and number of protons in the nucleus. The energy e2013 (Paper 2)Nuclear energy
  11. 11Paragraph: A small block of mass is released from rest at the top of a rough track. The track is a circular arc of radius . The block slides2013 (Paper 2)Energy
  12. 12Paragraph: A small block of mass is released from rest at the top of a rough track. The track is a circular arc of radius . The block slides2013 (Paper 2)Newton's laws of motion
  13. 13Paragraph: A thermal power plant produces electric power of at , which is to be transported to a place away from the power plant for consume2013 (Paper 2)Electric Power and Heating Effect of Current
  14. 14Paragraph: A thermal power plant produces electric power of at , which is to be transported to a place away from the power plant for consume2013 (Paper 2)Transformers
  15. 15Paragraph: A point charge is moving in a circular orbit of radius in the plane with an angular velocity This can be considered as equivalent2013 (Paper 2)Induced Electric Field
  16. 16Paragraph: A point charge is moving in a circular orbit of radius in the plane with an angular velocity This can be considered as equivalent2013 (Paper 2)Inductance
  17. 17A right-angled prism of refractive index 1 is placed in a rectangular block of refractive index 2 , which is surrounded by a medium of refra2013 (Paper 2)Prism and Dispersion of Light
  18. 18Match List I with List II and select the correct answer using the codes given below the lists: List I List II a. Boltzmann constant p. ML 2 2013 (Paper 2)Dimensions
  19. 19One mole of a monatomic ideal gas is taken along two cyclic processes E F G E and E F H E as shown in the PV diagram. The processes involved2013 (Paper 2)Thermodynamic Processes
  20. 20Match List I of the nuclear processes with List II containing parent nucleus and one of the end products of each process and then select the2013 (Paper 2)Nuclear reactions

Frequently Asked Questions

1.How many questions are in the JEE Advanced 2013 Paper 2 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 1 paper for the same year?

The JEE Advanced 2013 Paper 1 paper is listed separately - you can switch to it from the "JEE Advanced Paper Wise PYQs" panel, under JEE Advanced 2013.

4.How is the JEE Advanced 2013 Paper 2 paper structured?

The JEE Advanced 2013 Paper 2 paper on MARKS has 60 questions, organised by subject:

  • Chemistry: 20 questions - 12 single-correct and 8 multiple-correct.
  • Mathematics: 20 questions - 12 single-correct and 8 multiple-correct.
  • Physics: 20 questions - 12 single-correct and 8 multiple-correct.
5.How difficult is the JEE Advanced 2013 Paper 2 paper?

Each question on MARKS carries a difficulty rating. Of the 60 rated questions in this paper, 12 (20%) are easy, 35 (58%) are medium and 13 (22%) are hard. Subject wise:

  • Chemistry: 4 easy, 12 medium, 4 hard
  • Mathematics: 2 easy, 11 medium, 7 hard
  • Physics: 6 easy, 12 medium, 2 hard
6.Which chapters were asked the most in the JEE Advanced 2013 Paper 2 paper?

The chapters with the most questions in each subject were:

  • Chemistry: p Block Elements (Group 15, 16, 17 & 18) (4), Alcohols Phenols and Ethers (3), and Electrochemistry (2).
  • Mathematics: Application of Derivatives (4), Parabola (2), and Probability (2).
  • Physics: Nuclear Physics (3) and Electromagnetic Induction (2).
7.Where can I find the solutions for the JEE Advanced 2013 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 2013 Paper 2 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 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.