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JEE Advanced 2015 Paper 2

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Advanced 2015 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 - 10 easy (17%), 38 moderate (63%) and 12 tough (20%). That's a fairly typical mix for this exam. By subject: Physics 15% easy, 60% moderate, 25% tough; Chemistry 15% easy, 60% moderate, 25% tough; Mathematics 20% easy, 70% moderate, 10% tough.

Chemistry questions were spread across 14 chapters, with Hydrocarbons (3), Alcohols Phenols and Ethers (2), and Chemical Kinetics (2) carrying the most weight. Mathematics questions were spread across 13 chapters, with Definite Integration (5), Application of Derivatives (2), and Limits (2) carrying the most weight. Physics questions were spread across 16 chapters, with Ray Optics (3), Magnetic Effects of Current (2), and Mechanical Properties of Fluids (2) carrying the most weight.

Chemistry

  1. 1The molar conductivity of a solution of a weak acid HX (0.01 M) is 10 times smaller than the molar conductivity of a solution of a weak acid2015 (Paper 2)Conductance and Conductivity
  2. 2A closed vessel with rigid walls contains 1 mol of U 92 238 and 1 mol of air at 298 K. Considering complete decay of U 92 238 to P b 82 206 2015 (Paper 2)Integrated rate laws
  3. 3In dilute aqueous H 2 S O 4 , the complex diaquodioxalatoferrate (II) is oxidized by M n O 4 - . For this reaction, the ratio of the rate of2015 (Paper 2)Rate of reaction
  4. 4The number of hydroxyl group(s) in Q is2015 (Paper 2)Reactions of Alcohols
  5. 5Among the following, the number of reaction(s) that produce(s) benzaldehyde is2015 (Paper 2)Method of preparation for Aldehydes
  6. 6In the complex acetylbromidodicarbonylbis(triethylphosphine)iron (II), the number of F e - C bond (s) is2015 (Paper 2)Carbonyl Compounds
  7. 7Among the complex ions, \( [ {Co} ( {NH}_{2}- {CH}_{2}- {CH}_{2}- {NH}_{2} )_{2} {Cl}_{2} ]^{+}, [ {CrCl}_{2} ( {C}_{2} {O}_{4} )_{2} ]^{3-}2015 (Paper 2)Isomerism of coordination compounds
  8. 8Three moles of B 2 H 6 are completely reacted with methanol. The number of moles of boron containing product formed is2015 (Paper 2)Boron and Its Compounds
  9. 9The pair(s) of ions where BOTH the ions are precipitated upon passing H 2 S gas in presence of dilute HCl, is (are)2015 (Paper 2)Identification of Basic Radicals
  10. 10Under hydrolytic conditions, the compounds used for the preparation of linear polymer and for chain termination, respectively, are2015 (Paper 2)Silicon and Its Compounds
  11. 11When O 2 is adsorbed on a metallic surface, electron transfer occurs from the metal to O 2 . The TRUE statement(s) regarding this adsorption2015 (Paper 2)Adsorption
  12. 12One mole of a monoatomic real gas satisfied the equation p V - b = R T where b is a constant. The relationship of interatomic potential V(r)2015 (Paper 2)Real Gases and Van der Waal's Equation
  13. 13In the following reactions, the product S is2015 (Paper 2)Reactions of alkenes
  14. 14The major product U in the following reactions is2015 (Paper 2)Reactions of aromatic compounds
  15. 15In the following reactions, the major product W is2015 (Paper 2)Preparation and Properties of Amines
  16. 16The correct statement(s) regarding, (i) H C l O (ii) H C l O 2 (iii) H C l O 3 and (iv) H C l O 4 is /are2015 (Paper 2)Halogens and Its Compounds
  17. 17In the following reactions Compound X is2015 (Paper 2)Preparation and Properties of Alcohols
  18. 18In the following reactions The major compound Y is2015 (Paper 2)Properties and Preparation of Alkanes
  19. 19When 100 mL of 1.0 M HCl was mixed with 100 mL of 1.0 M NaOH in an insulated beaker at constant pressure, a temperature increase of 5.7 o C 2015 (Paper 2)Redox titration
  20. 20When 100 mL of 1.0 M HCl was mixed with 100 mL of 1.0 M NaOH in an insulated beaker at constant pressure, a temperature increase of 5.7 o C 2015 (Paper 2)Buffer solutions

Mathematics

  1. 1If = 0 1 e 9 x + 3 tan - 1 x 12 + 9 x 2 1 + x 2 d x where tan - 1 x takes only principal values, then the value of log e 1 + - 3 4 is2015 (Paper 2)Definite Integration by Substitution
  2. 2Let f : R R be a continuous odd function, which vanishes exactly at one point and f 1 = 1 2 . Suppose that F x = - 1 x f ( t ) d t for all x2015 (Paper 2)Miscellaneous
  3. 3Suppose that p , q a n d r are three non - coplanar vectors in R 3 . Let the components of a vector s along \(p, q\) and \(r\) be 4,3 and 5 2015 (Paper 2)Algebra of Vectors
  4. 4For any integer k , let k = cos k 7 + i sin k 7 , w h e r e i = - 1 . The value of the expression k = 1 12 k + 1 - k k = 1 3 4 k - 1 - 4 k -2015 (Paper 2)nth roots of unity
  5. 5Suppose that all the terms of an arithmetic progression (A.P.) are natural numbers. If the ratio of the sum of the first seven terms to the 2015 (Paper 2)Arithmetic Progression
  6. 6The coefficient of x 9 in the expansion of 1 + x 1 + x 2 1 + x 3 1 + x 100 is2015 (Paper 2)Terms of Binomial Expansion
  7. 7Suppose that the foci of the ellipse x 2 9 + y 2 5 = 1 are f 1 , 0 a n d ( f 2 , 0 ) where f 1 0 a n d f 2 0 . Let P 1 a n d P 2 be two para2015 (Paper 2)Tangent to Parabola
  8. 8Let m and n be two positive integers greater than 1. If lim 0 e c o s ( n ) - e m = - e 2 then the value of m n is2015 (Paper 2)Algebraic and Rational Limits
  9. 9The option(s) with the value of a and L that satisfy the following equation is(are) 0 4 e t sin 6 a t + cos 4 a t d t 0 sin 6 a t + cos 4 a 2015 (Paper 2)Properties of Definite Integration
  10. 10Let f , g : - 1 , 2 R be continuous functions which are twice differentiable on the interval - 1 , 2 . Let the values of f and g at the poin2015 (Paper 2)Monotonicity
  11. 11Let f x = 7 tan 8 x + 7 tan 6 x - 3 tan 4 x - 3 tan 2 x for all x - 2 , 2 . Then the correct expression(S) is(are)2015 (Paper 2)Definite Integration by Parts
  12. 12Let f x = 192 x 3 2 + sin 4 x for all x R with f 1 2 = 0 . If m 1 2 1 f x d x M , then the possible values of m and M are2015 (Paper 2)Properties Involving Inequalities
  13. 13Let S be the set of all non - zero real numbers such that the quadratic equation x 2 - x + = 0 has two distinct real roots x 1 a n d x 2 sat2015 (Paper 2)Relation between Roots and Coefficients
  14. 14If = 3 sin - 1 6 11 a n d = 3 cos - 1 4 9 , where the inverse trigonometric functions take only the principal values, then the correct optio2015 (Paper 2)Principal Value and Basics
  15. 15Let E 1 and E 2 be two ellipse whose centers are at the origin. The major axes of E 1 a n d E 2 lie along the x - axis and the y - axis, res2015 (Paper 2)Tangent to ellipse
  16. 16Consider the hyperbola H : x 2 - y 2 = 1 and a circle S with center N x 2 , 0 . Suppose that H and S touch each other at point P x 1 , y 1 w2015 (Paper 2)Tangent to hyperbola
  17. 17Let n 1 a n d n 2 be the number of red and black balls, respectively, in box I. Let n 3 a n d n 4 be the number of red and black balls, resp2015 (Paper 2)Baye's Theorem
  18. 18Let n 1 a n d n 2 be the number of red and black balls, respectively, in box I. Let n 3 a n d n 4 be the number of red and black balls, resp2015 (Paper 2)Conditional Probability and Multiplication Theorem
  19. 19Paragraph: Let be a thrice differentiable function. Suppose that and $F^{ }(x) Question: The correct statement(s) is(are)2015 (Paper 2)Monotonicity
  20. 20Let F : R R be a thrice differentiable function. Suppose that F 1 = 0 , F 3 = - 4 and F x 0 all x 1 2 , 3 . Let f x = x F ( x ) for all x R 2015 (Paper 2)Definite Integration by Parts

Physics

  1. 1A monochromatic beam of light is incident at 60 o on one face of an equilateral prism of refractive index n and emerges from the opposite fa2015 (Paper 2)Prism and Dispersion of Light
  2. 2In the following circuit, the current through the resistor R ( = 2 Ω ) is I Amperes. The value of I is2015 (Paper 2)Wheatstone Bridge
  3. 3An electron in an excited state of L i 2 + ion has angular momentum 3 h 2 . The de Broglie wavelength of the electron in this state is p 0 (2015 (Paper 2)Matter Waves
  4. 4The energy of a system as a function of time t is given as E t = A 2 - t , where = 0.2 s - 1 . The measurement of A has an error of 1.25%. I2015 (Paper 2)Errors of Measurement
  5. 5The densities of two solid spheres A and B of the same radii R vary with radial distance r as A r = k r R and B r = k r R 5 , respectively, 2015 (Paper 2)Moment of inertia of rigid bodies
  6. 6Four harmonic waves of equal frequencies and equal intensities I 0 have phase angles 0 , 3 , 2 3 and . When they are superposed, the intensi2015 (Paper 2)Interference and Superposition of Waves
  7. 7For a radioactive material, its activity A and rate of change of its activity R are defined as A = - d N d t and R = - d A d t , where N ( t2015 (Paper 2)Radioactivity
  8. 8A large spherical mass M is fixed at one position and two identical point masses m are kept on a line passing through the centre of M (see f2015 (Paper 2)Newton's Law of Gravitation
  9. 9A parallel plate capacitor having plates of area S and plate separation d , has capacitance C 1 in air. When two dielectrics of different re2015 (Paper 2)Capacitors with Dielectric
  10. 10An ideal monoatomic gas is confined in a horizontal cylinder by a spring loaded piston (as shown in the figure).Initially the gas is at temp2015 (Paper 2)First Law of Thermodynamics
  11. 11A fission reaction is given by U 92 236 X e 54 140 + S r 38 94 + x + y , where x and y are two particles. Considering U 92 236 to be at rest2015 (Paper 2)X-Rays
  12. 12Two spheres P and Q of equal radii have densities ρ 1 and ρ 2 , respectively. The spheres are connected by a massless string and placed in l2015 (Paper 2)Archmidies Principle
  13. 13In terms of potential difference V , electic current I , permittivity 0 , permeability 0 and speed of light c , the dimensionally correct eq2015 (Paper 2)Dimensions
  14. 14Consider a uniform spherical charge distribution of radius R 1 centred at the origin O. In this distribution, a spherical cavity of radius R2015 (Paper 2)Electric Field and Electric Field Lines
  15. 15In plotting stress versus strain curves for two materials P and Q , a student by mistake puts strain on the y -axis and stress on the x - ax2015 (Paper 2)Young's Modulus and Breaking Stres
  16. 16A spherical body of radius R consists of a fluid of constant density and is in equilibrium under its own gravity. If P ( r ) is the pressure2015 (Paper 2)Pressure and thrust
  17. 17Paragraph: In a thin rectangular metallic strip a constant current flows along the positive -direction, as shown in the figure. The length, 2015 (Paper 2)Motion of Charged Particle in Magnetic Field
  18. 18Paragraph: In a thin rectangular metallic strip a constant current flows along the positive -direction, as shown in the figure. The length, 2015 (Paper 2)Motion of Charged Particle in Magnetic Field
  19. 19Paragraph: Light guidance in an optical fiber can be understood by considering a structure comprising of thin solid glass cylinder of refrac2015 (Paper 2)Refraction of light from plane surface
  20. 20Paragraph: Light guidance in an optical fiber can be understood by considering a structure comprising of thin solid glass cylinder of refrac2015 (Paper 2)Refraction of light from plane surface

Frequently Asked Questions

1.How many questions are in the JEE Advanced 2015 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 2015 Paper 1 paper is listed separately - you can switch to it from the "JEE Advanced Paper Wise PYQs" panel, under JEE Advanced 2015.

4.How is the JEE Advanced 2015 Paper 2 paper structured?

The JEE Advanced 2015 Paper 2 paper on MARKS has 60 questions, organised by subject:

  • Chemistry: 20 questions - 12 multiple-correct and 8 numerical-value.
  • Mathematics: 20 questions - 12 multiple-correct and 8 numerical-value.
  • Physics: 20 questions - 12 multiple-correct and 8 numerical-value.
5.How difficult is the JEE Advanced 2015 Paper 2 paper?

Each question on MARKS carries a difficulty rating. Of the 60 rated questions in this paper, 10 (17%) are easy, 38 (63%) are medium and 12 (20%) are hard. Subject wise:

  • Chemistry: 3 easy, 12 medium, 5 hard
  • Mathematics: 4 easy, 14 medium, 2 hard
  • Physics: 3 easy, 12 medium, 5 hard
6.Which chapters were asked the most in the JEE Advanced 2015 Paper 2 paper?

The chapters with the most questions in each subject were:

  • Chemistry: Hydrocarbons (3), Alcohols Phenols and Ethers (2), and Chemical Kinetics (2).
  • Mathematics: Definite Integration (5), Application of Derivatives (2), and Limits (2).
  • Physics: Ray Optics (3), Magnetic Effects of Current (2), and Mechanical Properties of Fluids (2).
7.Where can I find the solutions for the JEE Advanced 2015 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 2015 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 2015 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.