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JEE Advanced 2011 Paper 1

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Advanced 2011 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 69 questions in total - 20 easy (29%), 30 moderate (43%) and 19 tough (28%). That's a fairly typical mix for this exam. By subject: Physics 26% easy, 39% moderate, 35% tough; Chemistry 35% easy, 39% moderate, 26% tough; Mathematics 26% easy, 52% moderate, 22% tough.

Chemistry questions were spread across 15 chapters, with Structure of Atom (3), Coordination Compounds (2), and General Organic Chemistry (2) carrying the most weight. Mathematics questions were spread across 15 chapters, with Matrices (3), Complex Number (2), and Definite Integration (2) carrying the most weight. Physics questions were spread across 15 chapters, with Electrostatics (3), Oscillations (3), and Magnetic Effects of Current (2) carrying the most weight.

Chemistry

  1. 1Bombardment of aluminium by -particle leads to its artificial disintegration in two ways, (i) and (ii) as shown. Products and respectively a2011 (Paper 1)Atomic Mass and Atomic Size
  2. 2was added to an aqueous solution gradually and the conductivity of the solution was measured. The plot of conductance versus the volume of i2011 (Paper 1)Conductance and Conductivity
  3. 3The major product of the following reaction is2011 (Paper 1)Preparation and Properties of Amines
  4. 4Geometrical shapes of the complexes formed by the reaction of with , and , respectively, are2011 (Paper 1)Werner's theory and Valence Bond Theory
  5. 5Extra pure can be obtained by heating2011 (Paper 1)Nitrogen and Its Compounds
  6. 6Dissolving of urea (molecular weight 60) in of water gave a solution of density . The molarity of the solution is2011 (Paper 1)Concentration terms
  7. 7Among the following compounds, the most acidic is2011 (Paper 1)Electron displacement effects
  8. 8The correct statement(s) pertaining to the adsorption of a gas on a solid surface is(are)2011 (Paper 1)Adsorption
  9. 9According to kinetic theory of gases2011 (Paper 1)Kinetic theory of gases
  10. 10Extraction of metal from the ore cassiterite involves2011 (Paper 1)Extraction of Metals
  11. 11Amongst the given options, the compound (s) in which all the atoms are in one plane in all the possible conformations (if any), is (are)2011 (Paper 1)Isomerism of Organic Compounds
  12. 12Paragraph: An acylic hydrocarbon , having molecular formula , gave acetone as the only organic product through the following sequence of rea2011 (Paper 1)Reactions of alkenes
  13. 13Paragraph: An acylic hydrocarbon , having molecular formula , gave acetone as the only organic product through the following sequence of rea2011 (Paper 1)Chemical reactions for aldehydes and ketones
  14. 14Paragraph: When a metal rod is dipped into an aqueous colourless concentrated solution of compound , the solution turns light blue. Addition2011 (Paper 1)Compounds of Transition Metals
  15. 15Paragraph: When a metal rod is dipped into an aqueous colourless concentrated solution of compound , the solution turns light blue. Addition2011 (Paper 1)Compounds of Transition Metals
  16. 16Paragraph: When a metal rod is dipped into an aqueous colourless concentrated solution of compound , the solution turns light blue. Addition2011 (Paper 1)Werner's theory and Valence Bond Theory
  17. 17The maximum number of electrons that can have principal quantum number, and spin quantum number, , is2011 (Paper 1)Quantum mechanical model
  18. 18Reaction of with in aqueous solution gives sodium bromide and sodium bromate with evolution of gas. The number of sodium bromide molecules i2011 (Paper 1)Types of redox reactions
  19. 19The total number of alkenes possible by dehydrobromination of 3-bromo-3-cyclopentylhexane using alcoholic is2011 (Paper 1)Properties and Preparation of Alkenes
  20. 20The work function ( ) of some metals is listed below. The number of metals which will show photoelectric effect when light of wavelength fal2011 (Paper 1)Dual Behaviour of Matter and Heisenberg Uncertainty Principle
  21. 21A decapeptide (molecular weight 796) on complete hydrolysis gives glycine (molecular weight 75), alanine and phenylalanine. Glycine contribu2011 (Paper 1)Properties and Preparation of Amino Acids
  22. 22The difference in the oxidation numbers of the two types of sulphur atoms in is2011 (Paper 1)Sulphur and Its Compounds
  23. 23To an evacuated vessel with movable piston under external pressure of , mole of He and mole of an unknown compound (vapour pressure at ) are2011 (Paper 1)Gas laws and Ideal Gas Equation

Mathematics

  1. 1Let and be three vectors. A vector in the plane of and whose projection of is , is given by2011 (Paper 1)Algebra of Vectors
  2. 2Let the straight line divide the area enclosed by and into two parts and such that . Then, equals to2011 (Paper 1)Area of Curve along axis
  3. 3A straight line through the point is inclined at an angle to the line . If also intersects the -axis, then the equation of is2011 (Paper 1)Basic Forms of Straight Line
  4. 4The value of is2011 (Paper 1)Properties of Definite Integration
  5. 5Let be the solution of the following equations , , then is equal to2011 (Paper 1)Logarithm
  6. 6Let and be two sets. Then,2011 (Paper 1)Solving Trigonometric Equation
  7. 7Let and be the roots of with . If for , then the value of is2011 (Paper 1)Relation between Roots and Coefficients
  8. 8Let and be two non-singular skew-symmetric matrices such that . If denotes the transpose of , then is equal to2011 (Paper 1)Symmetric & Skew Symmetric Matrices
  9. 9Let the eccentricity of the hyperbola be reciprocal to that of the ellipse . If the hyperbola passes through a focus of the ellipse, then2011 (Paper 1)Equation of hyperbola
  10. 10The vector(s) which is/are coplanar with vectors and , are perpendicular to the vector is/are2011 (Paper 1)Vector Triple Product
  11. 11Let be a function such that . If is differentiable at , then2011 (Paper 1)Differentiability
  12. 12Paragraph: Let and be two urns such that contains 3 white and 2 red balls and contains only 1 white ball. A fair coin is tossed. If head app2011 (Paper 1)Conditional Probability and Multiplication Theorem
  13. 13Paragraph: Let and be two urns such that contains 3 white and 2 red balls and contains only 1 white ball. A fair coin is tossed. If head app2011 (Paper 1)Baye's Theorem
  14. 14Paragraph: Let , b and be three real numbers satisfying Question: If the point , with reference to Eq. (E), lies on the plane , then the val2011 (Paper 1)Product of Matrices
  15. 15Paragraph: Let , b and be three real numbers satisfying Question: Let be a solution of with . If , with and satisfying Eq. (E), then the val2011 (Paper 1)Cube Root of Unity
  16. 16Paragraph: Let , b and be three real numbers satisfying Question: Let , with and satisfying Eq. (E). If and are the roots of the quadratic e2011 (Paper 1)Product of Matrices
  17. 17The positive integer value of satisfying the equation2011 (Paper 1)Solving Trigonometric Equation
  18. 18Let be an arithmetic progression with and , . For any integer with , let . If does not depend on , then is2011 (Paper 1)Arithmetic Progression
  19. 19The minimum value of the sum of real numbers and with is2011 (Paper 1)Inequalities
  20. 20Let be a differentiable function such that . If for all , then the value of is2011 (Paper 1)Leibnitz Rule of Differentiation
  21. 21Let , where . Then, the value of is2011 (Paper 1)Converting one Inverse T function to other Inverse T
  22. 22Consider the parabola . Let be the area of the triangle formed by the end points of its latusrectum and the point on the parabola and be the2011 (Paper 1)Properties of Tangent
  23. 23If is any complex number satisfying , then the maximum value of is2011 (Paper 1)Conjugate, modulus and argument

Physics

  1. 1Consider an electric field where is a constant. The flux through the shaded area ( as shown in the figure) due to this field is2011 (Paper 1)Electric Flux and Gauss Law
  2. 2A ball of mass is attached to the end of a string having length . The ball is rotated on a horizontal circular path about vertical axis. The2011 (Paper 1)Uniform Circular Motion
  3. 3A capacitor is charged as shown in the figure. The percentage of its stored energy dissipated after the switch is turned to position 2 , is2011 (Paper 1)Force and Energy stored in capacitor
  4. 4of helium gas at STP is adiabatically compressed to . Taking the initial temperature to be , the work done in the process is2011 (Paper 1)Thermodynamic Processes
  5. 5A police car with a siren of frequency is moving with uniform velocity towards a tall building which reflects the sound waves. The speed of 2011 (Paper 1)Doppler's Effect
  6. 6The wavelength of the first spectral line in the Balmer series of hydrogen atom is . The wavelength of the second spectral line in the Balme2011 (Paper 1)Atomic Spectrum
  7. 7A meter bridge is set up as shown in figure, to determine an unknown resistance using a standard resistor. The galvanometer shows null point2011 (Paper 1)Wheatstone Bridge
  8. 8An electron and a proton are moving on straight parallel paths with same velocity. They enter a semi-infinite region of uniform magnetic fie2011 (Paper 1)Motion of Charged Particle in Magnetic Field
  9. 9A composite block is made of slabs and of different thermal conductivities (given in terms of a constant, ) and sizes (given in terms of len2011 (Paper 1)Conduction
  10. 10A spherical metal shell of radius and a solid metal sphere of radius are kept far apart and each is given charge . Now, they are connected b2011 (Paper 1)Electric Flux and Gauss Law
  11. 11A metal rod of length and mass is pivoted at one end. A thin disc of mass and radius $R(2011 (Paper 1)Angular oscillations
  12. 12Paragraph: A dense collection of equal number of electrons and positive ions is called neutral plasma. Certain solids containing fixed posit2011 (Paper 1)Dimensions
  13. 13Paragraph: A dense collection of equal number of electrons and positive ions is called neutral plasma. Certain solids containing fixed posit2011 (Paper 1)Basics of Mechanical Waves
  14. 14Paragraph: Phase space diagrams are useful tools in analyzing all kinds of dynamical problems. They are especially useful in studying the ch2011 (Paper 1)Graphs of motion in one dimension
  15. 15Paragraph: Phase space diagrams are useful tools in analyzing all kinds of dynamical problems. They are especially useful in studying the ch2011 (Paper 1)Simple Harmonic Motion
  16. 16Paragraph: Phase space diagrams are useful tools in analyzing all kinds of dynamical problems. They are especially useful in studying the ch2011 (Paper 1)Simple Harmonic Motion
  17. 17Four point charges, each of , are rigidly fixed at the four corners of a square planar soap film of side . The surface tension of the soap f2011 (Paper 1)Electric Charge and Coulomb's law
  18. 18A block is moving on an inclined plane making an angle with the horizontal and the coefficient of friction is . The force required to just p2011 (Paper 1)Frictional force
  19. 19A long circular tube of length and radius carries a current I along its curved surface as shown. A wire loop of resistance and of radius is 2011 (Paper 1)Magnetic Moment
  20. 20Steel wire of length at is suspended from the ceiling and then a mass is hung from its free end. The wire is cooled down from to to regain i2011 (Paper 1)Thermal Expansion
  21. 21Four solid spheres each of diameter and mass ar placed with their centres at the corners of a square of side . The moment of inertia of the 2011 (Paper 1)Moment of inertia of rigid bodies
  22. 22A boy is pushing a ring of mass and radius with a stick as shown in the figure. The stick applies a force of on the ring and rolls it withou2011 (Paper 1)Torque
  23. 23The activity of a freshly prepared radioactive sample is disintegrations per second, whose mean life is . The mass of an atom of this radioi2011 (Paper 1)Radioactivity

Frequently Asked Questions

1.How many questions are in the JEE Advanced 2011 Paper 1 paper?

This paper has 69 questions in total - 23 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 2011 Paper 2 paper is listed separately - you can switch to it from the "JEE Advanced Paper Wise PYQs" panel, under JEE Advanced 2011.

4.What is the structure of the JEE Advanced 2011 Paper 1 paper?

The JEE Advanced 2011 Paper 1 paper on MARKS has 69 questions, organised by subject:

  • Chemistry: 23 questions - 12 single-correct, 4 multiple-correct, and 7 numerical-value.
  • Mathematics: 23 questions - 12 single-correct, 4 multiple-correct, and 7 numerical-value.
  • Physics: 23 questions - 12 single-correct, 4 multiple-correct, and 7 numerical-value.
5.What is the difficulty level of the JEE Advanced 2011 Paper 1 paper?

Each question on MARKS carries a difficulty rating. Of the 69 rated questions in this paper, 20 (29%) are easy, 30 (43%) are medium and 19 (28%) are hard. Subject wise:

  • Chemistry: 8 easy, 9 medium, 6 hard
  • Mathematics: 6 easy, 12 medium, 5 hard
  • Physics: 6 easy, 9 medium, 8 hard
6.Which chapters had the most questions in the JEE Advanced 2011 Paper 1 paper?

The chapters with the most questions in each subject were:

  • Chemistry: Structure of Atom (3), Coordination Compounds (2), and d and f Block Elements (2).
  • Mathematics: Matrices (3), Complex Number (2), and Definite Integration (2).
  • Physics: Electrostatics (3), Oscillations (3), and Magnetic Effects of Current (2).
7.Where can I find the solutions for the JEE Advanced 2011 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 2011 Paper 1 paper to check my preparation?

Set a timer, attempt the 69 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 2011 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.