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JEE Main 2011

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Main 2011 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 90 questions in total - 28 easy (31%), 46 moderate (51%) and 16 tough (18%). That's a fairly typical mix for this exam. By subject: Physics 47% easy, 40% moderate, 13% tough; Chemistry 20% easy, 67% moderate, 13% tough; Mathematics 27% easy, 47% moderate, 27% tough.

Chemistry questions were spread across 21 chapters, with General Organic Chemistry (3), Aldehydes and Ketones (2), and Chemical Bonding and Molecular Structure (2) carrying the most weight. Mathematics questions were spread across 24 chapters, with Complex Number (2), Definite Integration (2), and Differential Equations (2) carrying the most weight. Physics questions were spread across 23 chapters, with Rotational Motion (3), Electrostatics (2), and Kinetic Theory of Gases (2) carrying the most weight.

Chemistry

  1. 1Among the following the maximum covalent character is shown by the compound:2011Polarization
  2. 2The presence or absence of hydroxyl group on which carbon atom of sugar differentiates RNA and DNA ?2011Nucleic Acids
  3. 3Trichloroacetaldehyde was subjected to Cannizzaro's reaction by using . The mixture of the products contains sodium trichloroacetate and ano2011Chemical reactions for aldehydes and ketones
  4. 4Sodium ethoxide has reacted with ethanoyl chloride. The compound that is produced in the above reaction is :2011Reactions of Ethers
  5. 5The reduction potential of hydrogen half cell will be negative if :2011Types of half cells
  6. 6The strongest acid amongst the following compounds is :2011Electron displacement effects
  7. 7The degree of dissociation of a weak electrolyte, is related to van't Hoff factor (i) by the expression:2011Colligative Properties and Abnormal Molecular Masses
  8. 8'a' and 'b' are van der Waals' constants for gases. Chlorine is more easily liquefied than ethane because2011Real Gases and Van der Waal's Equation
  9. 9A vessel at contains with a pressure of . Some of the is converted into on the addition of graphite. If the total pressure at equilibrium is2011Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
  10. 10Boron cannot form which one of the following anions?2011Boron and Its Compounds
  11. 11Which of the following facts about the complex s wrong ?2011Werner's theory and Valence Bond Theory
  12. 12Ethylene glycol is used as an antifreeze in a cold climate. Mass of ethylene glycol which should be added to of water to prevent it from fre2011Colligative Properties and Abnormal Molecular Masses
  13. 13Which one of the following order represents the correct sequence of the increasing basic nature of the given oxides ?2011Periodic properties
  14. 14The rate of a chemical reaction doubles for every rise of temperature. If the temperature is raised by , the rate of the reaction increases 2011Rate of reaction
  15. 15The magnetic moment (spin only) of is2011Quantum mechanical model
  16. 16The hybridization of orbitals of atom in and are respectively :2011Hybridisation and VSEPR Theory
  17. 17In context of the lanthanoids, which of the following statements is not correct ?2011F-Block elements
  18. 18A molal aqueous solution of methyl alcohol, , is supplied. What is the mole fraction of methyl alcohol in the solution?2011Concentration terms
  19. 19Which of the following statement is wrong?2011Modern periodic table
  20. 20The outer electron configuration of Gd (Atomic No : 64 is :2011F-Block elements
  21. 21Which of the following statements regarding sulphur is incorrect?2011Nitrogen and Its Compounds
  22. 22The structure of is :2011Halogens and Its Compounds
  23. 23Ozonolysis of an organic compound gives formaldehyde as one of the products. This confirms the presence of :2011Reactions of alkenes
  24. 24A gas absorbs a photon of and emits at two wavelengths. If one of the emissions is at , the other is at:2011Bohr's model
  25. 25Silver Mirror test is given by which one of the following compounds ?2011Tests for aldehyde and ketones
  26. 26Which of the following reagents may be used to distinguish between phenol and benzoic acid ?2011Qualitative analysis of organic compounds
  27. 27Phenol is heated with a solution of mixture of and . The major product obtained in the above reaction is2011Preparation and Properties of Aryl Halides
  28. 28In a face centred cubic lattice, atom A occupies the corner positions and atom B occupies the face centre positions. If one atom of is missi2011Cubic system
  29. 29The entropy change involved in the isothermal reversible expansion of 2 moles of an ideal gas from a volume of to a volume of at is :2011Entropy and Second law of thermodynamics
  30. 30Identify the compound that exhibits tautomerism.2011Isomerism of Organic Compounds

Mathematics

  1. 1The lines and intersect the line at and respectively. The bisector of the acute angle between and intersect at . This question has Statement2011Concurrency & Family of Lines
  2. 2If , then for all real2011Solving Trigonometric Inequalities
  3. 3The coefficient of in the expansion of is2011Terms of Binomial Expansion
  4. 4_{x 2} ( { {1- \{2(x-2)\}}}{x-2} )2011Trigonometric and Inverse Trigonometric limits
  5. 5This question has Statement and Statement . Of the four choices given after the statements, choose the one that best describes the two state2011Division and Distribution of Distinct Items
  6. 6equals2011Differentiation of composite functions
  7. 7If and , then is equal to2011Variable Separable Form
  8. 8Let be the set of real numbers This question has Statement and Statement . Of the four choices given after the statements, choose the one th2011Questions on Symmetric Transitive and Reflexive Properties
  9. 9The value of is2011Properties of Definite Integration
  10. 10Let be real and be a complex number. If has two distinct roots on the line , then it is necessary that2011Algebra of complex numbers
  11. 11Consider 5 independent Bernoulli's trials each with probability of success . If the probability of at least one failure is greater than or e2011Bernoulli Trial and Binomial Distribution
  12. 12A man saves Rs. 200 in each of the first three months of his service. In each of the subsequent months his saving increases by Rs. 40 more t2011Arithmetic Progression
  13. 13The domain of the function is2011Domain
  14. 14If the angle between the line and the plane is , then equals2011Line and Plane
  15. 15If and , then the value of is2011Vector Triple Product
  16. 16Equation of the ellipse whose axes are the axes of coordinates and which passes through the point and has eccentricity is2011General Equation of 2nd degree curve
  17. 17Let I be the purchase value of an equipment and be the value after it has been used for t years. The value depreciates at a rate given by di2011Applications of DE
  18. 18The vector and are not perpendicular and and are two vectors satisfying: and . Then the vector is equal to2011Product of 2 vectors
  19. 19The two circles and touch each other if2011Family of Circle
  20. 20If and are two events such that and , then the correct statement among the following is2011Classical Definition of Probability
  21. 21The number of values of for which the linear equations possess a non-zero solution is2011System of Linear Equations
  22. 22Consider the following statements : Suman is brilliant Q : Suman is rich : Suman is honest The negation of the statement "Suman is brilliant2011Mathematical Reasoning
  23. 23The shortest distance between line and curve is2011Maxima Minima
  24. 24If the mean deviation about the median of the numbers is 50 , then equals2011Mean Square Deviation
  25. 25This question has Statement and Statement . Of the four choices given after the statements, choose the one that best describes the two state2011Line in Space
  26. 26Let and be two symmetric matrices of order 3 . This question has Statement and Statement . Of the four choices given after the statements, c2011Symmetric & Skew Symmetric Matrices
  27. 27If is a cube root of unity, and . Then equals2011Cube Root of Unity
  28. 28The value of and for which the function is continuous for all in , is2011Continuity
  29. 29The area of the region enclosed by the curves and the positive -axis is2011Area bounded by Miscellaneous Curves
  30. 30For , define . Then has2011Leibnitz Rule of Differentiation

Physics

  1. 1The transverse displacement of a wave on a string is given by . This represents a2011Basics of Mechanical Waves
  2. 2A screw gauge gives the following reading when used to measure the diameter of a wire. Main scale reading : Circular scale reading : 52 divi2011Experimental Physics
  3. 3A mass hangs with the help of a string wrapped around a pulley on a frictionless bearing. The pulley has mass and radius . Assuming pulley t2011Rolling without Slipping
  4. 4Work done in increasing the size of a soap bubble from a radius of to is nearly (Surface tension of soap solution ):2011Surface tension
  5. 5A thin horizontal circular disc is rotating about a vertical axis passing through its centre. An insect is at rest at a point near the rim o2011Angular momentum and Angular impulse
  6. 6Two particles are executing simple harmonic motion of the same amplitude and frequency along the -axis. Their mean position is separated by 2011Simple Harmonic Motion
  7. 7Two bodies of masses and are placed at a distance . The gravitational potential at a point on the line joining them where the gravitational 2011Gravitational potential and Potential Energy
  8. 8Two identical charged spheres suspended from a common point by two massless strings of length I are initially a distance apart because of th2011Electric Charge and Coulomb's law
  9. 9A boat is moving due east in a region where the earth's magnetic field is due north and horizontal. The boat carries a vertical aerial long.2011Induced Electric Field
  10. 10An object, moving with a speed of , is decelerated at a rate given by : where is the instantaneous speed. The time taken by the object, to c2011Non-uniform Motion
  11. 11A fully charged capacitor with initial charge is connected to a coil of self inductance at . The time at which the energy is stored equally 2011AC Circuits
  12. 12Let the plane be the boundary between two transparent media. Medium 1 in has a refractive index of and medium 2 with has a refractive index 2011Refraction of light from plane surface
  13. 13A current I flows in an infinitely long wire with cross section in the form of a semicircular ring of radius . The magnitude of the magnetic2011Biot-Savart's Law and Ampere's Circuital Law
  14. 14A thermally insulated vessel contains an ideal gas of molecular mass and ratio of specific heats . It is moving with speed and is suddenly b2011Pressure and Energy of gas
  15. 15A mass , attached to a horizontal spring, executes S.H.M. with amplitude . When the mass passes through its mean position then a smaller mas2011Simple Harmonic Motion
  16. 16Water is flowing continuously from a tap having an internal diameter . The water velocity as it leaves the tap is . The diameter of the wate2011Hydrodynamics
  17. 17This question has Statement and Statement . Of the four choices given after the statements, choose the one that best describes the two state2011Propagation of EM Waves
  18. 18Three perfect gases at absolute temperatures and are mixed. The masses of molecules are , and and the number of molecules are and respective2011Gas Laws
  19. 19A pulley of radius is rotated about its axis by a force Newton (where is measured in seconds) applied tangentially. If the moment of inertia2011Torque
  20. 20A resistor 'R' and capacitor in series is connected through a switch to direct supply. Across the capacitor is a neon bulb that lights up at2011Capacitance
  21. 21A Carnot engine operating between temperatures and has efficiency . When is lowered by 62 , its efficiency increases to . Then and are, resp2011Heat Engine, Refrigerator and Second Law of Thermodynamics
  22. 22If a wire is stretched to make it longer, its resistance will :2011Errors of Measurement
  23. 23Direction: The question has a paragraph followed by two statements, Statement and statement . Of the given four alternatives after the state2011Interference of Light
  24. 24A car is fitted with a convex side-view mirror of focal length . A second car behind the first car is overtaking the first car at relative s2011Mirror Formula, Reflection in Spherical Mirror
  25. 25Energy required for the electron excitation in from the first to the third Bohr orbit is :2011Bohr's Atomic Model
  26. 26The electrostatic potential inside a charged spherical ball is given by where is the distance from the centre; are constants. Then the charg2011Electric Potential and Potential Energy
  27. 27A water fountain on the ground sprinkles water all around it. If the speed of water coming out of the fountain is , the total area around th2011Projectile motion
  28. 28of water is heated from to . Ignoring the slight expansion of the water, the change in its internal energy is (specific heat of water is ):2011Calorimetry
  29. 29The half life of a radioactive substance is 20 minutes. The approximate time interval between the time when of it has decayed and time and o2011Radioactivity
  30. 30This question has Statement and Statement . Of the four choices given after the statements, choose the one that best describes the two state2011Photoelectric Effect

Frequently Asked Questions

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

This paper has 90 questions in total - 30 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.What is the structure of the JEE Main 2011 paper?

The JEE Main 2011 paper on MARKS has 90 questions, organised by subject:

  • Chemistry: 30 questions - 30 single-correct.
  • Mathematics: 30 questions - 30 single-correct.
  • Physics: 30 questions - 30 single-correct.
4.What is the difficulty level of the JEE Main 2011 paper?

Each question on MARKS carries a difficulty rating. Of the 90 rated questions in this paper, 28 (31%) are easy, 46 (51%) are medium and 16 (18%) are hard. Subject wise:

  • Chemistry: 6 easy, 20 medium, 4 hard
  • Mathematics: 8 easy, 14 medium, 8 hard
  • Physics: 14 easy, 12 medium, 4 hard
5.Which chapters had the most questions in the JEE Main 2011 paper?

The chapters with the most questions in each subject were:

  • Chemistry: General Organic Chemistry (3), Aldehydes and Ketones (2), and Chemical Bonding and Molecular Structure (2).
  • Mathematics: Complex Number (2), Definite Integration (2), and Differential Equations (2).
  • Physics: Rotational Motion (3), Electrostatics (2), and Kinetic Theory of Gases (2).
6.Are there any out-of-syllabus questions in the JEE Main 2011 paper?

Yes. 15 of the 90 questions in this paper are marked on MARKS as outside the current syllabus. You can still practise them for the concept, but they are a lower priority if you are short on time.

7.Where can I find the solutions for the JEE Main 2011 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 Main 2011 paper to check my preparation?

Set a timer, attempt the 90 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 Main. Repeating this with other papers shows whether the same weak spots keep coming back.

9.Will the JEE Main 2011 paper help me prepare for JEE Main 2027?

Yes. Every past paper shows the question styles and topics JEE Main 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.