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Friday, 9 October

JEE Main 2020 · September session

JEE Main 2 September 2020, Shift 1

75 questions: 15 numerical-answer and 60 multiple choice. 4 were rated hard and 21 easy. By hard questions it ranks 4th of the 4 2020 shifts Lumi analysed. The biggest chapter was Application of Derivatives, with 3 questions.

Questions
75
none dropped
Numerical answer
15
20% of the shift
Hard
4
5% of the shift
Chapters asked
61
16 questions with a figure

The shift at a glance

Subjects, difficulty and chapters

Physics
25 Q · 5 numerical
Easy 7Medium 18Hard 0

Top chapters

Chemistry
25 Q · 5 numerical
Easy 9Medium 13Hard 3

Top chapters

Maths
25 Q · 5 numerical
Easy 5Medium 19Hard 1

Top chapters

Question format
  • Single correct42 Q
  • Numerical value15 Q
  • Diagram based14 Q
  • Other2 Q
  • Assertion–reason1 Q
  • Two statements1 Q
What each question asks you to do
  • Multi-step30 Q
  • Calculation22 Q
  • Conceptual8 Q
  • Recall7 Q
  • Application6 Q
  • Diagram reading1 Q
  • Data or graph1 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. Q1If speed VV, area AA and force FF are chosen as fundamental units, then the dimension of Young's modulus will be :MediumUnits and Measurements
  2. Q2Train A and train B are running on parallel tracks in the opposite directions with speeds of 36 km/hour and 72 km/hour, respectively. A person is…EasyMotion in a Straight Line
  3. Q3A particle of mass mm with an initial velocity ui^u\hat{i} collides perfectly elastically with a mass 3m3m at rest. It moves with a velocity…MediumWork, Energy and Power
  4. Q4A bead of mass mm stays at point P(a,b)P(a, b) on a wire bent in the shape of a parabola y=4Cx2y=4Cx^{2} and rotating with angular speed ω\omega (see…MediumLaws of Motion
  5. Q5A uniform cylinder of mass MM and radius RR is to be pulled over a step of height aa (a<Ra < R) by applying a force FF at its centre 'O'…MediumSystem of Particles and Rotational Motion
  6. Q6The mass density of a spherical galaxy varies as Kr\frac{K}{r} over a large distance 'r' from its centre. In that region, a small star is in a…MediumGravitation
  7. Q7Shown in the figure is rigid and uniform one meter long rod ABAB held in horizontal position by two strings tied to its ends and attached to the…EasySystem of Particles and Rotational Motion
  8. Q8A cylindrical vessel containing a liquid is rotated about its axis so that the liquid rises at its sides as shown in the figure. The radius of…MediumMechanical Properties of Fluids
  9. Q9A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature TT. Assuming the gases to be ideal and the oxygen bond to be rigid,…EasyKinetic Theory
  10. Q10Two identical strings XX and ZZ made of same material have tension TXT_X and TZT_Z in them. If their fundamental frequencies are 450 Hz and 300…EasyWaves
  11. Q11A charged particle (mass mm and charge qq) moves along XX axis with velocity V0V_0. When it passes through the origin it enters a region having…MediumElectric Charges and Fields
  12. Q12Consider four conducting materials copper, tungsten, mercury and aluminium with resistivity ρC\rho_C, ρT\rho_T, ρM\rho_M and ρA\rho_A respectively.…MediumCurrent Electricity
  13. Q13A beam of protons with speed 4×105 ms−14\times10^{5}\ \mathrm{ms^{-1}} enters a uniform magnetic field of 0.3 T at an angle of 60∘60^\circ to the magnetic…MediumMoving Charges and Magnetism
  14. Q14Magnetic materials used for making permanent magnets (P) and magnets in a transformer (T) have different properties of the following, which property…EasyMagnetism and Matter
  15. Q15A plane electromagnetic wave, has frequency of 2.0×10102.0\times10^{10} Hz and its energy density is 1.02×10−8 J/m31.02\times10^{-8}\ \mathrm{J/m^{3}} in vacuum. The…MediumElectromagnetic Waves
  16. Q16A spherical mirror is obtained as shown in the figure from a hollow glass sphere. If an object is positioned in front of the mirror, what will be…MediumRay Optics and Optical Instruments
  17. Q17Interference fringes are observed on a screen by illuminating two thin slits 1 mm apart with a light source (λ=632.8\lambda=632.8 nm). The distance…EasyWave Optics
  18. Q18In a reactor, 2 kg of 92U235_{92}\mathrm{U}^{235} fuel is fully used up in 30 days. The energy released per fission is 200 MeV. Given that the Avogadro…MediumNuclei
  19. Q19An amplitude modulated wave is represented by the expression vm=5(1+0.6cos⁡6280t)sin⁡(211×104 t)v_m=5(1+0.6\cos 6280t)\sin(211\times10^{4}\,t) volts The minimum and maximum…EasyCommunication Systems
  20. Q20The least count of the main scale of a vernier callipers is 1 mm. Its vernier scale is divided into 10 divisions and coincide with 9 divisions of…MediumUnits and Measurements
  21. Q21A small block starts slipping down from a point B on an inclined plane AB, which is making an angle θ\theta with the horizontal section BC is…MediumWork, Energy and PowerNumerical
  22. Q22An engine takes in 5 moles of air at 20∘20^\circC and 1 atm, and compresses it adiabaticaly to 1/10th1/10^{\mathrm{th}} of the original volume. Assuming…MediumThermodynamicsNumerical
  23. Q23A 5 μF5\ \mu\mathrm{F} capacitor is charged fully by a 220 V supply. It is then disconnected from the supply and is connected in series to another…MediumElectrostatic Potential and CapacitanceNumerical
  24. Q24A circular coil of radius 10 cm is placed in a uniform magnetic field of 3.0×10−53.0\times10^{-5} T with its plane perpendicular to the field initially.…MediumElectromagnetic InductionNumerical
  25. Q25When radiation of wavelength λ\lambda is used to illuminate a metallic surface, the stopping potential is VV. When the same surface is illuminated…MediumDual Nature of Radiation and MatterNumerical

Chemistry Q26–50

  1. Q26An open beaker of water in equilibrium with water vapour is in a sealed container. When a few grams of glucose are added to the beaker of water, the…MediumSolutions
  2. Q27For the following Assertion and Reason, the correct option is Assertion (A) : When Cu (II) and sulphide ions are mixed, they react together…MediumEquilibrium
  3. Q28Which of the following is used for the preparation of colloids ?EasySurface Chemistry
  4. Q29If AB4\mathrm{AB_4} molecule is a polar molecule, a possible geometry of AB4\mathrm{AB_4} is :EasyChemical Bonding and Molecular Structure
  5. Q30The figure that is not a direct manifestation of the quantum nature of atoms is :MediumStructure of Atom
  6. Q31Which one of the following graphs is not correct for ideal gas ? dd = Density, PP = Pressure, TT = TemperatureMediumStates of Matter
  7. Q32In general, the property (magnitudes only) that shows an opposite trend in comparison to other properties across a period is :EasyClassification of Elements and Periodicity in Properties
  8. Q33While titrating dilute HCl solution with aqueous NaOH, which of the following will not be required ?EasySome Basic Concepts of Chemistry
  9. Q34The metal mainly used in devising photoelectric cells is :EasyThe s-Block Elements
  10. Q35On heating compound (A) gives a gas (B) which is a constituent of air. This gas when treated with H2\mathrm{H_2} in the presence of a catalyst gives…MediumThe p-Block Elements
  11. Q36For octahedral Mn(II) and tetrahedral Ni(II) complexes, consider the following statements : (I) both the complexes can be high spin. (II) Ni(II)…MediumCoordination Compounds
  12. Q37Consider that a d6d^{6} metal ion (M2+\mathrm{M^{2+}}) forms a complex with aqua ligands, and the spin only magnetic moment of the complex is 4.90…HardCoordination Compounds
  13. Q38The statement that is not true about ozone is :EasyEnvironmental Chemistry
  14. Q39The IUPAC name for the following compound is :EasyOrganic Chemistry: Some Basic Principles and Techniques
  15. Q40In Carius method of estimation of halogen, 0.172 g of an organic compound showed presence of 0.08 g of bromine. Which of these is the correct…MediumOrganic Chemistry: Some Basic Principles and Techniques
  16. Q41The major product in the following reaction is : 1-methyl-1-vinylcyclopentane (H3C\mathrm{H_3C} and CH=CH2\mathrm{CH=CH_2} on the same ring carbon of…HardHydrocarbons
  17. Q42The increasing order of the following compounds towards HCN addition is : (i) 3-methoxybenzaldehyde (H3CO\mathrm{H_3CO} meta to CHO) (ii)…MediumAldehydes, Ketones and Carboxylic Acids
  18. Q43The major aromatic product C in the following reaction sequence will be : 2-methyl-2H-chromene (benzene ring fused to a pyran ring with O, a CH(CH3)…HardHaloalkanes and Haloarenes
  19. Q44Which of the following compounds will show retention in configuration on nucleophilic substitution by OH−\mathrm{OH^-} ion ?MediumHaloalkanes and Haloarenes
  20. Q45Consider the following reactions : (i) Glucose + ROH →dry HCl\xrightarrow{\text{dry HCl}} Acetal…MediumBiomolecules
  21. Q46The internal energy change (in J) when 90 g of water undergoes complete evaporation at 100∘100^\circC is ______. (Given : ΔHvap\Delta H_{vap} for water…EasyThermodynamics (Chemistry)Numerical
  22. Q47The Gibbs energy change (in J) for the given reaction at [Cu2+]=[Sn2+]=1[\mathrm{Cu^{2+}}]=[\mathrm{Sn^{2+}}]=1 M and 298 K is :…EasyElectrochemistryNumerical
  23. Q48The mass of gas adsorbed, xx, per unit mass of adsorbate, mm, was measured at various pressures, pp. A graph between log⁡xm\log\frac{x}{m} and…MediumSurface ChemistryNumerical
  24. Q49The oxidation states of iron atoms in compounds (A), (B) and (C), respectively, are xx, yy and zz. The sum of xx, yy and zz is ______. (A)…MediumCoordination CompoundsNumerical
  25. Q50The number of chiral carbons present in the molecule given below is ______.MediumHaloalkanes and HaloarenesNumerical

Maths Q51–75

  1. Q51If R={(x,y):x,y∈Z, x2+3y2≤8}R=\{(x, y) : x, y\in \mathbf{Z},\ x^{2}+3y^{2}\le 8\} is a relation on the set of integers Z\mathbf{Z}, then the domain of R−1R^{-1} is :EasyRelations and Functions
  2. Q52Let α\alpha and β\beta be the roots of the equation, 5x2+6x−2=05x^{2}+6x-2=0. If Sn=αn+βnS_n=\alpha^{n}+\beta^{n}, n=1,2,3,…n=1, 2, 3, \ldots, then :EasyComplex Numbers and Quadratic Equations
  3. Q53The value of (1+sin⁡2π9+icos⁡2π91+sin⁡2π9−icos⁡2π9)3\left(\frac{1+\sin\frac{2\pi}{9}+i\cos\frac{2\pi}{9}}{1+\sin\frac{2\pi}{9}-i\cos\frac{2\pi}{9}}\right)^{3} is :MediumComplex Numbers and Quadratic Equations
  4. Q54Let AA be a 2×22\times2 real matrix with entries from {0,1}\{0, 1\} and ∣A∣≠0|A|\neq0. Consider the following two statements : (P) If A≠I2A\neq I_2, then…MediumMatrices
  5. Q55Let SS be the set of all λ∈R\lambda\in\mathbf{R} for which the system of linear equations 2x−y+2z=22x-y+2z=2 x−2y+λz=−4x-2y+\lambda z=-4 x+λy+z=4x+\lambda y+z=4 has no…MediumDeterminants
  6. Q56Let α>0\alpha>0, β>0\beta>0 be such that α3+β2=4\alpha^{3}+\beta^{2}=4. If the maximum value of the term independent of xx in the binomial expansion of…HardBinomial Theorem
  7. Q57The sum of the first three terms of a G.P. is SS and their product is 27. Then all such SS lie in :MediumSequences and Series
  8. Q58If ∣x∣<1|x|<1, ∣y∣<1|y|<1 and x≠yx\neq y, then the sum to infinity of the following series (x+y)+(x2+xy+y2)+(x3+x2y+xy2+y3)+…(x+y)+(x^{2}+xy+y^{2})+(x^{3}+x^{2}y+xy^{2}+y^{3})+\ldots is :MediumSequences and Series
  9. Q59If a function f(x)f(x) defined by f(x)={aex+be−x,−1≤x<1cx2,1≤x≤3ax2+2cx,3<x≤4f(x)=\begin{cases} ae^{x}+be^{-x}, & -1\le x<1 \\ cx^{2}, & 1\le x\le 3 \\ ax^{2}+2cx, & 3<x\le 4 \end{cases} be…MediumContinuity and Differentiability
  10. Q60If the tangent to the curve y=x+sin⁡yy=x+\sin y at a point (a,b)(a, b) is parallel to the line joining (0,32)\left(0, \frac{3}{2}\right) and…MediumApplication of Derivatives
  11. Q61If p(x)p(x) be a polynomial of degree three that has a local maximum value 8 at x=1x=1 and a local minimum value 4 at x=2x=2; then p(0)p(0) is equal to :MediumApplication of Derivatives
  12. Q62Area (in sq. units) of the region outside ∣x∣2+∣y∣3=1\frac{|x|}{2}+\frac{|y|}{3}=1 and inside the ellipse x24+y29=1\frac{x^{2}}{4}+\frac{y^{2}}{9}=1 is :MediumApplication of Integrals
  13. Q63Let y=y(x)y=y(x) be the solution of the differential equation, 2+sin⁡xy+1⋅dydx=−cos⁡x, y>0, y(0)=1\frac{2+\sin x}{y+1}\cdot\frac{dy}{dx}=-\cos x,\ y>0,\ y(0)=1. If y(π)=ay(\pi)=a and…MediumDifferential Equations
  14. Q64Let P(h, k) be a point on the curve y=x2+7x+2y=x^{2}+7x+2, nearest to the line, y=3x−3y=3x-3. Then the equation of the normal to the curve at P is :MediumApplication of Derivatives
  15. Q65A line parallel to the straight line 2x−y=02x-y=0 is tangent to the hyperbola x24−y22=1\frac{x^{2}}{4}-\frac{y^{2}}{2}=1 at the point (x1,y1)(x_1, y_1). Then…MediumConic Sections
  16. Q66The plane passing through the points (1,2,1)(1, 2, 1), (2,1,2)(2, 1, 2) and parallel to the line, 2x=3y2x=3y, z=1z=1 also passes through the point :MediumThree Dimensional Geometry
  17. Q67Let X={x∈N:1≤x≤17}X=\{x\in\mathbf{N} : 1\le x\le 17\} and Y={ax+b:x∈XY=\{ax+b : x\in X and a,b∈R,a>0}a, b\in\mathbf{R}, a>0\}. If mean and variance of elements of Y are 17 and…MediumStatistics
  18. Q68Box I contains 30 cards numbered 1 to 30 and Box II contains 20 cards numbered 31 to 50. A box is selected at random and a card is drawn from it.…MediumProbability
  19. Q69The domain of the function f(x)=sin⁡−1(∣x∣+5x2+1)f(x)=\sin^{-1}\left(\frac{|x|+5}{x^{2}+1}\right) is (−∞,−a]∪[a,∞)(-\infty, -a]\cup[a, \infty). Then a is equal to :MediumInverse Trigonometric Functions
  20. Q70The contrapositive of the statement "If I reach the station in time, then I will catch the train" is :EasyMathematical Reasoning
  21. Q71If the letters of the word 'MOTHER' be permuted and all the words so formed (with or without meaning) be listed as in a dictionary, then the…MediumPermutations and CombinationsNumerical
  22. Q72If lim⁡x→1x+x2+x3+…+xn−nx−1=820, (n∈N)\lim_{x\to 1}\frac{x+x^{2}+x^{3}+\ldots+x^{n}-n}{x-1}=820,\ (n\in\mathbf{N}) then the value of n is equal to ___________.MediumLimits and DerivativesNumerical
  23. Q73The integral ∫02∣∣x−1∣−x∣dx\int_{0}^{2}\left||x-1|-x\right|dx is equal to ___________.EasyIntegralsNumerical
  24. Q74The number of integral values of k for which the line, 3x+4y=k3x+4y=k intersects the circle, x2+y2−2x−4y+4=0x^{2}+y^{2}-2x-4y+4=0 at two distinct points is ___________.MediumConic SectionsNumerical
  25. Q75Let a⃗\vec{a}, b⃗\vec{b} and c⃗\vec{c} be three unit vectors such that ∣a⃗−b⃗∣2+∣a⃗−c⃗∣2=8|\vec{a}-\vec{b}|^{2}+|\vec{a}-\vec{c}|^{2}=8. Then…EasyVector AlgebraNumerical

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.