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Friday, 9 October

JEE Main 2020 · September session

JEE Main 6 September 2020, Shift 2

75 questions: 15 numerical-answer and 60 multiple choice. 10 were rated hard and 23 easy. By hard questions it ranks 1st of the 4 2020 shifts Lumi analysed. The biggest chapter was System of Particles and Rotational Motion, with 3 questions.

Questions
75
none dropped
Numerical answer
15
20% of the shift
Hard
10
13% of the shift
Chapters asked
61
7 questions with a figure

The shift at a glance

Subjects, difficulty and chapters

Physics
25 Q · 5 numerical
Easy 4Medium 16Hard 5

Top chapters

Chemistry
25 Q · 5 numerical
Easy 14Medium 11Hard 0

Top chapters

Maths
25 Q · 5 numerical
Easy 5Medium 15Hard 5

Top chapters

Question format
  • Single correct55 Q
  • Numerical value15 Q
  • Match the list4 Q
  • Diagram based1 Q
What each question asks you to do
  • Multi-step31 Q
  • Calculation17 Q
  • Recall13 Q
  • Application8 Q
  • Conceptual4 Q
  • Data or graph2 Q

Most common: Multi-step.

Every question

All 75 questions, with answers

Open a question for the full text, options, the official answer and the same idea in other shifts.

Physics Q1–25

  1. Q1A student measuring the diameter of a pencil of circular cross-section with the help of a vernier scale records the following four readings 5.50 mm,…MediumUnits and Measurements
  2. Q2When a car is at rest, its driver sees rain drops falling on it vertically. When driving the car with speed vv, he sees that rain drops are coming…MediumMotion in a Plane
  3. Q3A particle moving in the xyxy plane experiences a velocity dependent force F⃗=k(vyi^+vxj^)\vec{F} = k\left(v_y\hat{i} + v_x\hat{j}\right), where vxv_x and vyv_y…HardWork, Energy and Power
  4. Q4Particle A of mass m1m_1 moving with velocity (3i^+j^) ms−1\left(\sqrt{3}\hat{i}+\hat{j}\right)\,\mathrm{ms^{-1}} collides with another particle B of mass…MediumSystem of Particles and Rotational Motion
  5. Q5The linear mass density of a thin rod AB of length L varies from A to B as λ(x)=λ0(1+xL)\lambda(x)=\lambda_0\left(1+\frac{x}{L}\right), where xx is the…MediumSystem of Particles and Rotational Motion
  6. Q6Two planets have masses M and 16 M and their radii are a and 2a, respectively. The separation between the centres of the planets is 10a. A body of…HardGravitation
  7. Q7A fluid is flowing through a horizontal pipe of varying cross-section, with speed v ms−1v\,\mathrm{ms^{-1}} at a point where the pressure is P Pascal.…EasyMechanical Properties of Fluids
  8. Q8Three rods of identical cross-section and lengths are made of three different materials of thermal conductivity K1K_1, K2K_2 and K3K_3,…MediumThermal Properties of Matter
  9. Q9In a dilute gas at pressure P and temperature T, the mean time between successive collisions of a molecule varies with T as :MediumKinetic Theory
  10. Q10When a particle of mass m is attached to a vertical spring of spring constant k and released, its motion is described by y(t)=y0sin⁡2ωty(t)=y_0\sin^2\omega t,…HardOscillations
  11. Q11Consider the force F on a charge 'q' due to a uniformly charged spherical shell of radius R carrying charge Q distributed uniformly over it. Which…EasyElectric Charges and Fields
  12. Q12Two identical electric point dipoles have dipole moments p1⃗=pi^\vec{p_1}=p\hat{i} and p2⃗=−pi^\vec{p_2}=-p\hat{i} and are held on the xx axis at distance 'a'…HardElectrostatic Potential and Capacitance
  13. Q13In the figure shown, the current in the 10 V battery is close to :MediumCurrent Electricity
  14. Q14A charged particle going around in a circle can be considered to be a current loop. A particle of mass m carrying charge q is moving in a plane with…MediumMoving Charges and Magnetism
  15. Q15A square loop of side 2a and carrying current I is kept in xzxz plane with its centre at origin. A long wire carrying the same current I is placed…HardMoving Charges and Magnetism
  16. Q16For a plane electromagnetic wave, the magnetic field at a point xx and time t is…MediumElectromagnetic Waves
  17. Q17A double convex lens has power P and same radii of curvature R of both the surfaces. The radius of curvature of a surface of a plano-convex lens…MediumRay Optics and Optical Instruments
  18. Q18Given the masses of various atomic particles mp=1.0072m_p=1.0072 u, mn=1.0087m_n=1.0087 u, me=0.000548m_e=0.000548 u, mνˉ=0m_{\bar\nu}=0, md=2.0141m_d=2.0141 u, where p≡p\equiv…MediumNuclei
  19. Q19Assuming the nitrogen molecule is moving with r.m.s. velocity at 400 K, the de-Broglie wavelength of nitrogen molecule is close to : (Given :…MediumDual Nature of Radiation and Matter
  20. Q20A circuit to verify Ohm's law uses ammeter and voltmeter in series or parallel connected correctly to the resistor. In the circuit :EasyCurrent Electricity
  21. Q21The centre of mass of a solid hemisphere of radius 8 cm is xx cm from the centre of the flat surface. Then value of xx is ________.EasySystem of Particles and Rotational MotionNumerical
  22. Q22An engine operates by taking a monatomic ideal gas through the cycle shown in the figure. The percentage efficiency of the engine is close to…MediumThermodynamicsNumerical
  23. Q23In a series LR circuit, power of 400 W is dissipated from a source of 250 V, 50 Hz. The power factor of the circuit is 0.8. In order to bring the…MediumAlternating CurrentNumerical
  24. Q24A Young's double-slit experiment is performed using monochromatic light of wavelength λ\lambda. The intensity of light at a point on the screen,…MediumWave OpticsNumerical
  25. Q25The output characteristics of a transistor is shown in the figure. When VCEV_{CE} is 10 V and IC=4.0I_C = 4.0 mA, then value of βac\beta_{ac} is ________.MediumSemiconductor Electronics: Materials, Devices and Simple CircuitsNumerical

Chemistry Q26–50

  1. Q26Which one of the following statements is not true ?MediumBiomolecules
  2. Q27The correct match between Item - I and Item - II is : Item - I / Item - II (a) Natural rubber (I) 1, 3-butadiene + styrene (b) Neoprene (II) 1,…EasyPolymers
  3. Q28Which of the following compounds can be prepared in good yield by Gabriel phthalimide synthesis ?EasyAmines
  4. Q29The correct match between Item - I (starting material) and Item - II (reagent) for the preparation of benzaldehyde is : Item - I / Item - II (I)…EasyAldehydes, Ketones and Carboxylic Acids
  5. Q30The increasing order of the boiling points of the major products A, B and C of the following reactions will be : (a) [figure: but-1-ene,…MediumHydrocarbons
  6. Q31The IUPAC name of the following compound is :MediumOrganic Chemistry: Some Basic Principles and Techniques
  7. Q32Match the following : Test / Method — Reagent (i) Lucas Test (a) C6H5SO2Cl\mathrm{C_6H_5SO_2Cl} / aq. KOH (ii) Dumas method (b) HNO3\mathrm{HNO_3} /…MediumOrganic Chemistry: Some Basic Principles and Techniques
  8. Q33The element that can be refined by distillation is :EasyGeneral Principles and Processes of Isolation of Elements
  9. Q34Dihydrogen of high purity (>99.95%>99.95\%) is obtained through :EasyHydrogen
  10. Q35Match the following compounds (Column-I) with their uses (Column-II) : Column - I / Column - II (I) Ca(OH)2\mathrm{Ca(OH)_2} (A) casts of statues (II)…EasyThe s-Block Elements
  11. Q36The reaction of NO with N2O4\mathrm{N_2O_4} at 250 K gives :MediumThe p-Block Elements
  12. Q37Reaction of an inorganic sulphite X with dilute H2SO4\mathrm{H_2SO_4} generates compound Y. Reaction of Y with NaOH gives X. Further, the reaction of X…MediumThe p-Block Elements
  13. Q38Mischmetal is an alloy consisting mainly of :EasyThe d- and f-Block Elements
  14. Q39For a d4\mathrm{d^4} metal ion in an octahedral field, the correct electronic configuration is :EasyCoordination Compounds
  15. Q40The average molar mass of chlorine is 35.5 g mol−135.5\ \mathrm{g\,mol^{-1}}. The ratio of 35Cl^{35}\mathrm{Cl} to 37Cl^{37}\mathrm{Cl} in naturally occurring…EasySome Basic Concepts of Chemistry
  16. Q41A crystal is made up of metal ions 'M1_1' and 'M2_2' and oxide ions. Oxide ions form a ccp lattice structure. The cation 'M1_1' occupies 50% of…MediumThe Solid State
  17. Q42For a reaction, 4 M(s)+nO2(g)→2M2On(s)4\,\mathrm{M(s)}+n\mathrm{O_2(g)}\rightarrow 2\mathrm{M_2O_n(s)}, the free energy change is plotted as a function of temperature.…MediumGeneral Principles and Processes of Isolation of Elements
  18. Q43A set of solutions is prepared using 180 g of water as a solvent and 10 g of different non-volatile solutes A, B and C. The relative lowering of…EasySolutions
  19. Q44The value of Kc\mathrm{K_c} is 64 at 800 K for the reaction N2(g)+3H2(g)⇌2NH3(g)\mathrm{N_2(g)+3H_2(g)\rightleftharpoons 2NH_3(g)} The value of Kc\mathrm{K_c} for the…EasyEquilibrium
  20. Q45For the given cell ; Cu(s)∣Cu2+(C1 M)∣∣Cu2+(C2 M)∣Cu(s)\mathrm{Cu(s)|Cu^{2+}(C_1\ M)||Cu^{2+}(C_2\ M)|Cu(s)} change in Gibbs energy (ΔG\Delta G) is negative, if :MediumElectrochemistry
  21. Q46The atomic number of Unnilunium is ________.EasyClassification of Elements and Periodicity in PropertiesNumerical
  22. Q47If the solubility product of AB2\mathrm{AB_2} is 3.20×10−11 M33.20\times10^{-11}\ \mathrm{M^3}, then the solubility of AB2\mathrm{AB_2} in pure water is ________…EasyEquilibriumNumerical
  23. Q48The rate of a reaction decreased by 3.555 times when the temperature was changed from 40 °C to 30 °C. The activation energy (in kJ mol−1^{-1}) of…MediumChemical KineticsNumerical
  24. Q49For Freundlich adsorption isotherm, a plot of log⁡(x/m)\log(x/m) (yy-axis) and log⁡p\log p (xx-axis) gives a straight line. The intercept and slope for the…MediumSurface ChemistryNumerical
  25. Q50A solution of phenol in chloroform when treated with aqueous NaOH gives compound P as a major product. The mass percentage of carbon in P is…EasyAlcohols, Phenols and EthersNumerical

Maths Q51–75

  1. Q51For a suitably chosen real constant a, let a function, f:R−{−a}→Rf:\mathbf{R}-\{-a\}\to\mathbf{R} be defined by f(x)=a−xa+xf(x)=\frac{a-x}{a+x}. Further suppose that…MediumRelations and Functions
  2. Q52If α\alpha and β\beta are the roots of the equation 2x(2x+1)=12x(2x+1)=1, then β\beta is equal to :MediumComplex Numbers and Quadratic Equations
  3. Q53Let z=x+iyz=x+iy be a non-zero complex number such that z2=i∣z∣2z^2=i|z|^2, where i=−1i=\sqrt{-1}, then zz lies on the :MediumComplex Numbers and Quadratic Equations
  4. Q54Let θ=π5\theta=\frac{\pi}{5} and A=[cos⁡θsin⁡θ−sin⁡θcos⁡θ]A=\begin{bmatrix}\cos\theta&\sin\theta\\-\sin\theta&\cos\theta\end{bmatrix}. If B=A+A4B=A+A^4, then det⁡(B)\det(B) :HardDeterminants
  5. Q55If the constant term in the binomial expansion of (x−kx2)10\left(\sqrt{x}-\frac{k}{x^2}\right)^{10} is 405, then ∣k∣|k| equals :MediumBinomial Theorem
  6. Q56The common difference of the A.P. b1,b2,…,bmb_1, b_2, \ldots, b_m is 2 more than the common difference of A.P. a1,a2,…,ana_1, a_2, \ldots, a_n. If a40=−159a_{40}=-159,…MediumSequences and Series
  7. Q57For all twice differentiable functions f:R→Rf:\mathbf{R}\to\mathbf{R}, with f(0)=f(1)=f′(0)=0f(0)=f(1)=f'(0)=0,MediumContinuity and Differentiability
  8. Q58Let f:R→Rf:\mathbf{R}\to\mathbf{R} be a function defined by f(x)=max⁡{x,x2}f(x)=\max\{x,x^2\}. Let S denote the set of all points in R\mathbf{R}, where ff is not…EasyContinuity and Differentiability
  9. Q59If the tangent to the curve, y=f(x)=xlog⁡exy=f(x)=x\log_e x, (x>0)(x>0) at a point (c,f(c))(c, f(c)) is parallel to the line - segment joining the points (1,0)(1, 0) and…MediumApplication of Derivatives
  10. Q60The set of all real values of λ\lambda for which the function f(x)=(1−cos⁡2x)⋅(λ+sin⁡x)f(x)=(1-\cos^2 x)\cdot(\lambda+\sin x),…HardApplication of Derivatives
  11. Q61The integral ∫12ex⋅xx(2+log⁡ex) dx\int_1^2 e^x\cdot x^x(2+\log_e x)\,dx equals :HardIntegrals
  12. Q62The area (in sq. units) of the region enclosed by the curves y=x2−1y=x^2-1 and y=1−x2y=1-x^2 is equal to :EasyApplication of Integrals
  13. Q63If y=(2πx−1)cosec xy=\left(\frac{2}{\pi}x-1\right)\mathrm{cosec}\,x is the solution of the differential equation,…MediumDifferential Equations
  14. Q64Let L denote the line in the xyxy-plane with xx and yy intercepts as 3 and 1 respectively. Then the image of the point (−1,−4)(-1,-4) in this line is :EasyStraight Lines
  15. Q65The centre of the circle passing through the point (0,1)(0,1) and touching the parabola y=x2y=x^2 at the point (2,4)(2,4) is :HardConic Sections
  16. Q66If the normal at an end of a latus rectum of an ellipse passes through an extremity of the minor axis, then the eccentricity e of the ellipse…MediumConic Sections
  17. Q67A plane P meets the coordinate axes at A, B and C respectively. The centroid of Δ\DeltaABC is given to be (1,1,2)(1,1,2). Then the equation of the line…MediumThree Dimensional Geometry
  18. Q68The probabilities of three events A, B and C are given by P(A)=0.6P(A)=0.6, P(B)=0.4P(B)=0.4 and P(C)=0.5P(C)=0.5. If P(A∪B)=0.8P(A\cup B)=0.8, P(A∩C)=0.3P(A\cap C)=0.3,…HardProbability
  19. Q69The angle of elevation of the summit of a mountain from a point on the ground is 45∘45^\circ. After climbing up one km towards the summit at an…MediumTrigonometric Functions
  20. Q70Consider the statement : "For an integer n, if n3−1n^3-1 is even, then n is odd." The contrapositive statement of this statement is :EasyMathematical Reasoning
  21. Q71The sum of distinct values of λ\lambda for which the system of equations (λ−1)x+(3λ+1)y+2λz=0(\lambda-1)x+(3\lambda+1)y+2\lambda z=0…MediumDeterminantsNumerical
  22. Q72The number of words (with or without meaning) that can be formed from all the letters of the word "LETTER" in which vowels never come together is…MediumPermutations and CombinationsNumerical
  23. Q73Suppose that a function f:R→Rf:\mathbf{R}\to\mathbf{R} satisfies f(x+y)=f(x)f(y)f(x+y)=f(x)f(y) for all x,y∈Rx,y\in\mathbf{R} and f(1)=3f(1)=3. If…MediumRelations and FunctionsNumerical
  24. Q74If x⃗\vec{x} and y⃗\vec{y} be two non-zero vectors such that ∣x⃗+y⃗∣=∣x⃗∣|\vec{x}+\vec{y}|=|\vec{x}| and 2x⃗+λy⃗2\vec{x}+\lambda\vec{y} is perpendicular to…EasyVector AlgebraNumerical
  25. Q75Consider the data on xx taking the values 0,2,4,8,…,2n0, 2, 4, 8, \ldots, 2^n with frequencies nC0,nC1,nC2,…,nCn{}^nC_0, {}^nC_1, {}^nC_2, \ldots, {}^nC_n respectively. If…MediumStatisticsNumerical

Questions from the official paper published by NTA, answers from the final key. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026; see the other 2020 shifts.