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JEE Advanced 2012 Paper 1

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Advanced 2012 Paper 1 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%), 36 moderate (60%) and 14 tough (23%). That's a fairly typical mix for this exam. By subject: Physics 20% easy, 65% moderate, 15% tough; Chemistry 20% easy, 55% moderate, 25% tough; Mathematics 10% easy, 60% moderate, 30% tough.

Chemistry questions were spread across 17 chapters, with Biomolecules (2), General Organic Chemistry (2), and Practical Chemistry (2) carrying the most weight. Mathematics questions were spread across 19 chapters, with Application of Derivatives (2), Area Under Curves (1), and Circle (1) carrying the most weight. Physics questions were spread across 14 chapters, with Electrostatics (3), Rotational Motion (3), and Laws of Motion (2) carrying the most weight.

Chemistry

  1. 1Which ordering of compounds is according to the decreasing order of the oxidation state of nitrogen?2012 (Paper 1)Nitrogen and Its Compounds
  2. 2The kinetic energy of an electron in the second Bohr orbit of a hydrogen atom is is Bohr radius :2012 (Paper 1)Bohr's model
  3. 3The number of aldol reaction(s) that occurs in the given transformation is :2012 (Paper 1)Reactions for aldehydes
  4. 4For one mole of a van der Waal's gas when and , the PV vs, plot is shown below. The value of the van der Waal's constant (atm. liter ) is :2012 (Paper 1)Real Gases and Van der Waal's Equation
  5. 5In allene , the type(s) of hybridisation of the carbon atoms is (are):2012 (Paper 1)Properties and Preparation of Alkanes
  6. 6A compound has cubic close packing (ccp) arrangement of . Its unit cell structure is shown below. The empirical formula of the compound is2012 (Paper 1)Crystal Structure of Solids
  7. 7The number of optically active products obtained from the complete ozonolysis of the given compound is :2012 (Paper 1)Isomerism of Organic Compounds
  8. 8As per IUPAC nomenclature, the name of the complex is :2012 (Paper 1)Nomenclature of coordination compounds
  9. 9The carboxyl functional group is present in2012 (Paper 1)Preparation and Properties of Carboxylic Acids
  10. 10The colour of light absorbed by an aqueous solution of is:2012 (Paper 1)Compounds of Transition Metals
  11. 11For an ideal gas, consider only P-V work in going from an initial state to the final state . The final state can be reached by either of the2012 (Paper 1)First Law and Basic Fundamentals of Thermodynamics
  12. 12Which of the following molecules, in pure form, is (are) unstable at room temperature ?2012 (Paper 1)Conjugation and Aromaticity
  13. 13Identify the binary mixture(s) that can be separated into individual compounds, by differential extraction as shown in the given scheme.2012 (Paper 1)Preliminary Tests
  14. 14Choose the correct reason(s) for the stability of the lyophobic colloidal particles.2012 (Paper 1)Colloids
  15. 15Which of the following halides react(s) with to give a precipitate that dissolves in ?2012 (Paper 1)Identification of Basic Radicals
  16. 16An organic compound undergoes first-order decomposition. The time taken for its decomposition to 8 and of its initial concentration are and 2012 (Paper 1)Integrated rate laws
  17. 17When the following aldohexose exists in its D-configuration, the total number of stereoisomers in its pyranose form is :2012 (Paper 1)Carbohydrates
  18. 18The substituents and for nine peptides are listed in the table given below. How many of these peptides are positively charged at ? {array}{|2012 (Paper 1)Properties and Preparation of Amino Acids
  19. 19The periodic table consists of 18 groups. An isotope of copper, on bombardment with protons, undergoes a nuclear reaction yielding element a2012 (Paper 1)Modern periodic table
  20. 20stock solution has a density of . The molecular weight of is . The volume of stock solution required to prepare a 200 solution of is :2012 (Paper 1)Mole concept

Mathematics

  1. 1If , then2012 (Paper 1)Algebraic and Rational Limits
  2. 2Let be a matrix and let , where for . If the determinant of is 2 , then the determinant of the matrix is2012 (Paper 1)Expansion of Determinants
  3. 3The locus of the mid-point of the chord of contact of tangents drawn from points lying on the straight line to the circle is2012 (Paper 1)line and circle
  4. 4The total number of ways in which 5 balls of different colours can be distributed among 3 persons so that each person gets at least one ball2012 (Paper 1)Division and Distribution of Distinct Items
  5. 5The integral equals (for some arbitrary constant )2012 (Paper 1)Integration by Substitution
  6. 6The point is the intersection of the straight line joining the points and with the plane . If is the foot of the perpendicular drawn from th2012 (Paper 1)Line and Plane
  7. 7Let then is2012 (Paper 1)Continuity
  8. 8Let be a complex number such that the imaginary part of is non-zero and is real. Then a cannot take the value2012 (Paper 1)Algebra of complex numbers
  9. 9The ellipse is inscribed in a rectangle whose sides are parallel to the coordinate axes. Another ellipse passing through the point circumscr2012 (Paper 1)Equation of Ellipse
  10. 10The function , defined by , is2012 (Paper 1)Types of Function (Mapping)
  11. 11Tangents are drawn to the hyperbola , parallel to the straight line . The points of contact of the tangents on the hyperbola are2012 (Paper 1)Tangent to hyperbola
  12. 12Let be such that and , then cannot satisfy2012 (Paper 1)Solving Trigonometric Inequalities
  13. 13If satisfies the differential equation and , then2012 (Paper 1)Homogeneous DE
  14. 14A ship is fitted with three engines and . The engines function independently of each other with respective probabilities and . For the ship 2012 (Paper 1)Independent Events
  15. 15Let be the area of the region enclosed by , and ; then2012 (Paper 1)Area bounded by Miscellaneous Curves
  16. 16If and are unit vectors satisfying , then is2012 (Paper 1)Algebra of Vectors
  17. 17Let be defined as . The total number of points at which attains either a local maximum or a local minimum is2012 (Paper 1)Maxima Minima
  18. 18Let be the focus of the parabola and let be the common chord of the circle and the given parabola. The area of the triangle is2012 (Paper 1)Chord of parabola
  19. 19Let be a real polynomial of least degree which has a local maximum at and a local minimum at . If and , then is2012 (Paper 1)Maxima Minima
  20. 20The value of2012 (Paper 1)Descartes Rule of Sign

Physics

  1. 1In the determination of Young's modulus by using Searle's method, a wire of length and diameter is used. For a load , an extension in the le2012 (Paper 1)Errors of Measurement
  2. 2A small mass is attached to a massless string whose other end is fixed at as shown in the figure. The mass is undergoing circular motion in 2012 (Paper 1)Angular momentum and Angular impulse
  3. 3A bi-convex lens is formed with two thin plano-convex lenses as shown in the figure. Refractive index of the first lens is and that of the s2012 (Paper 1)Lens Formula, Refraction of light from curved surface
  4. 4A thin uniform rod, pivoted at , is rotating in the horizontal plane with constant angular speed , as shown in the figure. At time , a small2012 (Paper 1)Torque
  5. 5A mixture of 2 moles of helium gas (atomic mass ) and 1 mole of argon gas (atomic mass ) is kept at in a container. The ratio of the rms spe2012 (Paper 1)Speed of Gas
  6. 6Two large vertical and parallel metal plates having a separation of are connected to a DC voltage source of potential difference . A proton 2012 (Paper 1)Equilibrium of Forces
  7. 7Three very large plates of same area are kept parallel and close to each other. They are considered as ideal black surfaces and have very hi2012 (Paper 1)Radiation
  8. 8A small block is connected to one end of a massless spring of un-stretched length . The other end of the spring (see the figure) is fixed. T2012 (Paper 1)Projectile motion
  9. 9Young's double slit experiment is carried out by using green, red and blue light, one color at a time. The fringe widths recorded are and , 2012 (Paper 1)Youngs Double Slit Experiment
  10. 10Consider a thin spherical shell of radius with centre at the origin, carrying uniform positive surface charge density. The variation of the 2012 (Paper 1)Electric Potential and Potential Energy
  11. 11Consider the motion of a positive point charge in a region where there are simultaneous uniform electric and magnetic fields and . At time ,2012 (Paper 1)Motion of Charged Particle in Magnetic Field
  12. 12A cubical region of side has its centre at the origin. It encloses three fixed point charges, at at and at . Choose the correct options(s)2012 (Paper 1)Electric Flux and Gauss Law
  13. 13A person blows into open-end of a long pipe. As a result, a high pressure pulse of air travels down the pipe. When this pulse reaches the ot2012 (Paper 1)Properties of Sound Waves
  14. 14A small block of mass of lies on a fixed inclined plane PQ which makes an angle with the horizontal. A horizontal force of acts on the block2012 (Paper 1)Equilibrium of Forces
  15. 15For the resistance network shown in the figure, choose the correct option(s)2012 (Paper 1)Combination of Resistances
  16. 16A circular wire loop of radius is placed in the plane centered at the origin . A square loop of side 45^{ } z { _{0} a^{2}}{2^{p / 2} R} p$ 2012 (Paper 1)Self and Mutual Inductance
  17. 17An infinitely long solid cylinder of radius has a uniform volume charge density . It has a spherical cavity of radius with its centre on the2012 (Paper 1)Electric Field and Electric Field Lines
  18. 18A proton is fired from very far away towards a nucleus with charge , where is the electronic charge. It makes a closest approach of to the n2012 (Paper 1)Matter Waves
  19. 19A lamina is made by removing a small disc of diameter from a bigger disc of uniform mass density and radius , as shown in the figure. The mo2012 (Paper 1)Moment of inertia of rigid bodies
  20. 20A cylindrical cavity of diameter a exists inside a cylinder of diameter as shown in the figure. Both the cylinder and the cavity are infinit2012 (Paper 1)Magnetic Field

Frequently Asked Questions

1.How many questions are in the JEE Advanced 2012 Paper 1 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 2 paper for the same year?

The JEE Advanced 2012 Paper 2 paper is listed separately - you can switch to it from the "JEE Advanced Paper Wise PYQs" panel, under JEE Advanced 2012.

4.How is the JEE Advanced 2012 Paper 1 paper structured?

The JEE Advanced 2012 Paper 1 paper on MARKS has 60 questions, organised by subject:

  • Chemistry: 20 questions - 10 single-correct, 5 multiple-correct, and 5 numerical-value.
  • Mathematics: 20 questions - 10 single-correct, 5 multiple-correct, and 5 numerical-value.
  • Physics: 20 questions - 10 single-correct, 5 multiple-correct, and 5 numerical-value.
5.How difficult is the JEE Advanced 2012 Paper 1 paper?

Each question on MARKS carries a difficulty rating. Of the 60 rated questions in this paper, 10 (17%) are easy, 36 (60%) are medium and 14 (23%) are hard. Subject wise:

  • Chemistry: 4 easy, 11 medium, 5 hard
  • Mathematics: 2 easy, 12 medium, 6 hard
  • Physics: 4 easy, 13 medium, 3 hard
6.Which chapters were asked the most in the JEE Advanced 2012 Paper 1 paper?

The chapters with the most questions in each subject were:

  • Chemistry: Biomolecules (2), General Organic Chemistry (2), and Practical Chemistry (2).
  • Mathematics: Application of Derivatives (2).
  • Physics: Electrostatics (3), Rotational Motion (3), and Laws of Motion (2).
7.Where can I find the solutions for the JEE Advanced 2012 Paper 1 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 2012 Paper 1 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 2012 Paper 1 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.