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JEE Advanced 2010 Paper 1

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Advanced 2010 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 84 questions in total - 24 easy (29%), 41 moderate (49%) and 19 tough (23%). That's a fairly typical mix for this exam. By subject: Physics 29% easy, 57% moderate, 14% tough; Chemistry 29% easy, 43% moderate, 29% tough; Mathematics 29% easy, 46% moderate, 25% tough.

Chemistry questions were spread across 15 chapters, with Alcohols Phenols and Ethers (3), General Organic Chemistry (3), and General Principles and Processes of Isolation of Metals (3) carrying the most weight. Mathematics questions were spread across 17 chapters, with Matrices (4), Application of Derivatives (2), and Complex Number (2) carrying the most weight. Physics questions were spread across 16 chapters, with Current Electricity (6), Oscillations (4), and Gravitation (3) carrying the most weight.

Chemistry

  1. 1The correct statement about the following disaccharide is2010 (Paper 1)Disaccharides and Polysaccharides
  2. 2The synthesis of 3-octyne is achieved by adding a bromoalkane into a mixture of sodium amide and an alkyne. The bromoalkane and alkyne respe2010 (Paper 1)Reactions of alkynes
  3. 3The ionization isomer of is2010 (Paper 1)Isomerism of coordination compounds
  4. 4The correct structure of ethylenediaminetetraacetic acid (EDTA) is2010 (Paper 1)Terminology of coordination compounds
  5. 5The bond energy (in ) of single bond is approximately2010 (Paper 1)Covalent and Co-ordinate Bonding
  6. 6The species which by definition has zero standard molar enthalpy of formation at is2010 (Paper 1)Laws of Thermochemistry and Enthalpy Change
  7. 7Plots showing the variation of the rate constant with temperature are given below. The plot that follows Arrhenius equation is2010 (Paper 1)Arrhenius theory
  8. 8In the reaction, the products are,2010 (Paper 1)Reactions of Ethers
  9. 9Among the following, intensive property is (properties are)2010 (Paper 1)System and surrounding
  10. 10The reagent(s) used for softening the temporary hardness of water is(are)2010 (Paper 1)Preparation and Properties of Water
  11. 11Aqueous solutions of , , and of identical concentrations are provided. The pair(s) of solutions which form a buffer upon mixing is(are)2010 (Paper 1)Buffer solutions
  12. 12In the Newman projection for 2,2-dimethylbutane and can respectively be2010 (Paper 1)Isomerism of Organic Compounds
  13. 13In the reaction, the intermediate(s) is (are)2010 (Paper 1)Reactions of Phenol
  14. 14Paragraph: Copper is the most noble of the first row transition metals and occurs in small deposits in several countries. Ores of copper inc2010 (Paper 1)Extraction of Metals
  15. 15Paragraph: Copper is the most noble of the first row transition metals and occurs in small deposits in several countries. Ores of copper inc2010 (Paper 1)Flux and Refractory materials
  16. 16Paragraph: Copper is the most noble of the first row transition metals and occurs in small deposits in several countries. Ores of copper inc2010 (Paper 1)Reduction to Crude Metal
  17. 17Paragraph: The concentration of potassium ions inside a biological cell is at least twenty times higher than the outside. The resulting pote2010 (Paper 1)Cells and Electrode Potential, Nernst Equation
  18. 18Paragraph: The concentration of potassium ions inside a biological cell is at least twenty times higher than the outside. The resulting pote2010 (Paper 1)Cells and Electrode Potential, Nernst Equation
  19. 19Amongst the following, the total number of compounds whose aqueous solution turns red litmus paper blue is2010 (Paper 1)PH of solutions
  20. 20Based on VSEPR theory, the number of 90 degree angles in is2010 (Paper 1)Hybridisation and VSEPR Theory
  21. 21The value of in the molecular formula is2010 (Paper 1)Oxidation number
  22. 22A student performs a titration with different burettes and finds titre values of , and . The number of significant figures in the average ti2010 (Paper 1)Significant Figures
  23. 23The concentration of in the reaction was measured as a function of time and the following data is obtained : The order of the reaction is2010 (Paper 1)Methods to determine order of reaction
  24. 24The number of neutrons emitted when undergoes controlled nuclear fission to and is2010 (Paper 1)Atomic Mass and Atomic Size
  25. 25The total number of basic groups in the following form of lysine is2010 (Paper 1)Properties and Preparation of Amino Acids
  26. 26The total number of cyclic isomers possible for a hydrocarbon with the molecular formula is2010 (Paper 1)Isomerism of Organic Compounds
  27. 27In the scheme given below, the total number of intramolecular aldol condensation products formed from ' ' is2010 (Paper 1)Reactions of Carbonyl Compounds
  28. 28Amongst the following, the total number of compounds soluble in aqueous is2010 (Paper 1)Electron displacement effects

Mathematics

  1. 1The number of matrices whose entries are either 0 or 1 and for which the system has exactly two distinct solutions, is2010 (Paper 1)Basic Algebra of Matrices
  2. 2The value of is2010 (Paper 1)Algebraic and Rational Limits
  3. 3Let and be real numbers such that and . If and are non-zero complex numbers satisfying and , then quadratic equation having and as its roots2010 (Paper 1)Relation between Roots and Coefficients
  4. 4Let and be real-valued functions defined on the interval by and . If and denote respectively, the absolute maximum of and on , then2010 (Paper 1)Maxima Minima
  5. 5If the angles and of a triangle are in an arithmetic progression and if and denote the lengths of the sides opposite to and respectively, th2010 (Paper 1)Sine Rule and its application
  6. 6Equation of the plane containing the straight line and perpendicular to the plane containing the straight lines and is2010 (Paper 1)Plane in Space
  7. 7Let be a complex cube root of unity with . A fair die is thrown three times. If and are the numbers obtained on the die, then the probabilit2010 (Paper 1)Classical Definition of Probability
  8. 8Let and be the points on the plane with position vectors an respectively. The quadrilateral must be a2010 (Paper 1)Algebra of Vectors
  9. 9The value(s) of is (are)2010 (Paper 1)Miscellaneous
  10. 10Let and be two distinct complex numbers and let for some real number with . If denotes the principal argument of a non-zero complex number ,2010 (Paper 1)Conjugate, modulus and argument
  11. 11Let be a real-valued function defined on the interval , by . Then which of the following statement(s) is (are) true ?2010 (Paper 1)Differentiability
  12. 12Let be a triangle such that and let and denote the lengths of the sides opposite to and respectively. The value(s) of for which and is (are)2010 (Paper 1)Cosine Rule and Projection Formula
  13. 13Let and be two distinct points on the parabola . If the axis of the parabola touches a circle of radius having as its diameter, then the slo2010 (Paper 1)Chord of parabola
  14. 14Paragraph: Let be an odd prime number and be the following set of matrices Question: The number of in such that is either symmetric or skew-2010 (Paper 1)Symmetric & Skew Symmetric Matrices
  15. 15Paragraph: Let be an odd prime number and be the following set of matrices Question: The number of in such that the trace of is not divisibl2010 (Paper 1)Trace of a Matrix
  16. 16Paragraph: Let be an odd prime number and be the following set of matrices Question: The number of in such that is not divisible by , is2010 (Paper 1)Trace of a Matrix
  17. 17Paragraph: The circle and hyperbola intersect at the points and . Question: Equation of a common tangent with positive slope to the circle a2010 (Paper 1)Common Tangent
  18. 18Paragraph: The circle and hyperbola intersect at the points and . Question: Equation of the circle with as its diameter is2010 (Paper 1)Equation of Circle & its intercept
  19. 19Let be the complex number . Then the number of distinct complex number satisfying is equal to2010 (Paper 1)Conjugate, modulus and argument
  20. 20Let , denote the sum of the infinite geometric series whose first term is and the common ratio is . Then the value of is2010 (Paper 1)Summation of Series
  21. 21The number of all possible values of , where , for which the system of equations and have a solution with , is2010 (Paper 1)Solving Trigonometric Equation
  22. 22Let be a real-valued differentiable function on (the set of all real numbers) such that . If the -intercept of the tangent at any point on t2010 (Paper 1)Linear Differential Equation
  23. 23The number of values of in the interval such that for and as well as is2010 (Paper 1)Solving Trigonometric Equation
  24. 24The maximum value of the expression is2010 (Paper 1)Maxima Minima
  25. 25If and are vectors in space given by and , then the value of is2010 (Paper 1)Algebra of Vectors
  26. 26The line is tangent to the hyperbola . If this line passes through the point of intersection of the nearest directrix and the -axis, then th2010 (Paper 1)Properties of Tangent
  27. 27If the distance between the plane and the plane containing the lines and is , then is2010 (Paper 1)Plane in Space
  28. 28For any real number , let denotes the largest integer less than or equal to . Let be a real valued function defined on the interval by . The2010 (Paper 1)Properties of Periodic Functions

Physics

  1. 1A thin uniform annular disc (see figure) of mass has outer radius and inner radius . The work required to take a unit mass from point on its2010 (Paper 1)Gravitational potential and Potential Energy
  2. 2A block of mass is on an inclined plane of angle . The coefficient of friction between the block and the plane is and . The block is held st2010 (Paper 1)Frictional force
  3. 3A real gas behaves like an ideal gas if its2010 (Paper 1)Gas Laws
  4. 4Consider a thin square sheet of side and thickness , made of a material of resistivity . The resistance between two opposite faces, shown by2010 (Paper 1)Resistance and Resistivity
  5. 5Incandescent bulbs are designed by keeping in mind that the resistance of their filament increases with the increase in temperature. If at r2010 (Paper 1)Electric Power and Heating Effect of Current
  6. 6To verify Ohm's law, a student is provided with a test resistor , a high resistance , a small resistance , two identical galvanometers and ,2010 (Paper 1)Electric Instruments
  7. 7A thin flexible wire of length is connected to two adjacent fixed points and carries a current in the clockwise direction, as shown in the f2010 (Paper 1)Force and Torque on Current Carrying Conductor
  8. 8An AC voltage source of variable angular frequency and fixed amplitude is connected in series with a capacitance and an electric bulb of res2010 (Paper 1)AC Circuits
  9. 9A student uses a simple pendulum of exactly length to determine , the acceleration due to gravity. He uses a stop watch with the least count2010 (Paper 1)Errors of Measurement
  10. 10A few electric field lines for a system of two charges and fixed at two different points on the -axis are shown in the figure. These lines s2010 (Paper 1)Electric Field and Electric Field Lines
  11. 11One mole of an ideal gas in initial state A undergoes a cyclic process , as shown in the figure. Its pressure at is . Choose the correct opt2010 (Paper 1)Thermodynamic Processes
  12. 12A point mass of collides elastically with a stationary point mass of . After their collision, the mass reverses its direction and moves with2010 (Paper 1)Collisions
  13. 13A ray of monochromatic light is incident on the face of prism near vertex at an incident angle of (see figure). If the refractive index of t2010 (Paper 1)Refraction of light from plane surface
  14. 14Paragraph: Electrical resistance of certain materials, known as superconductors, changes abruptly from a non-zero value to zero as their tem2010 (Paper 1)Resistance and Resistivity
  15. 15Paragraph: Electrical resistance of certain materials, known as superconductors, changes abruptly from a non-zero value to zero as their tem2010 (Paper 1)Resistance and Resistivity
  16. 16Paragraph: When a particle of mass moves on the -axis in a potential of the form , it performs simple harmonic motion. The corresponding tim2010 (Paper 1)Energy of Simple Harmonic Motion
  17. 17Paragraph: When a particle of mass moves on the -axis in a potential of the form , it performs simple harmonic motion. The corresponding tim2010 (Paper 1)Energy of Simple Harmonic Motion
  18. 18Paragraph: When a particle of mass moves on the -axis in a potential of the form , it performs simple harmonic motion. The corresponding tim2010 (Paper 1)Energy of Simple Harmonic Motion
  19. 19A stationary source is emitting sound at a fixed frequency , which is reflected by two cars approaching the source. The difference between t2010 (Paper 1)Doppler's Effect
  20. 20The focal length of a thin biconvex lens is . When an object is moved from a distance of in front of it to , the magnification of its image 2010 (Paper 1)Lens Formula, Refraction of light from curved surface
  21. 21An -particle and a proton are accelerated from rest by a potential difference of . After this, their de Broglie wavelengths are and respecti2010 (Paper 1)Matter Waves
  22. 22When two identical batteries of internal resistance each are connected in series across a resistor , the rate of heat produced in is . When 2010 (Paper 1)Electric Power and Heating Effect of Current
  23. 23Two spherical bodies (radius ) and (radius ) are at temperatures and , respectively. The maximum intensity in the emission spectrum of is at2010 (Paper 1)Radiation
  24. 24When two progressive waves and are superimposed, the amplitude of the resultant wave is2010 (Paper 1)Superposition of S.H.M's and Resonance
  25. 25A mass is suspended from a wire of negligible mass. The length of the wire is and its cross-sectional area is . If the mass is pulled a litt2010 (Paper 1)Young's Modulus and Breaking Stres
  26. 26A binary star consists of two stars (mass ) and (mass ), where is the mass of the sun. They are separated by distance and are rotating about2010 (Paper 1)Motion of satellite
  27. 27Gravitational acceleration on the surface of a planet is , where is the gravitational acceleration on the surface of the earth. The average 2010 (Paper 1)Gravitational potential and Potential Energy
  28. 28A piece of ice (heat capacity and latent heat ) of mass gram is at at atmospheric pressure. It is given of heat so that the ice starts melti2010 (Paper 1)Thermometry

Frequently Asked Questions

1.How many questions are in the JEE Advanced 2010 Paper 1 paper?

This paper has 84 questions in total - 28 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 2010 Paper 2 paper is listed separately - you can switch to it from the "JEE Advanced Paper Wise PYQs" panel, under JEE Advanced 2010.

4.How is the JEE Advanced 2010 Paper 1 paper structured?

The JEE Advanced 2010 Paper 1 paper on MARKS has 84 questions, organised by subject:

  • Chemistry: 28 questions - 13 single-correct, 5 multiple-correct, and 10 numerical-value.
  • Mathematics: 28 questions - 13 single-correct, 5 multiple-correct, and 10 numerical-value.
  • Physics: 28 questions - 13 single-correct, 5 multiple-correct, and 10 numerical-value.
5.How difficult is the JEE Advanced 2010 Paper 1 paper?

Each question on MARKS carries a difficulty rating. Of the 84 rated questions in this paper, 24 (29%) are easy, 41 (49%) are medium and 19 (23%) are hard. Subject wise:

  • Chemistry: 8 easy, 12 medium, 8 hard
  • Mathematics: 8 easy, 13 medium, 7 hard
  • Physics: 8 easy, 16 medium, 4 hard
6.Which chapters were asked the most in the JEE Advanced 2010 Paper 1 paper?

The chapters with the most questions in each subject were:

  • Chemistry: Alcohols Phenols and Ethers (3), General Organic Chemistry (3), and General Principles and Processes of Isolation of Metals (3).
  • Mathematics: Matrices (4), Application of Derivatives (2), and Complex Number (2).
  • Physics: Current Electricity (6), Oscillations (4), and Gravitation (3).
7.Where can I find the solutions for the JEE Advanced 2010 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 2010 Paper 1 paper to check my preparation?

Set a timer, attempt the 84 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 2010 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.