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Friday, 9 October

JEE Main 2022 · June session

JEE Main 29 June 2022, Shift 1

90 questions: 30 numerical-answer and 60 multiple choice. 10 were rated hard and 37 easy. By hard questions it ranks 4th of the 4 2022 shifts Lumi analysed. The biggest chapter was Conic Sections, with 3 questions.

Questions
90
none dropped
Numerical answer
30
33% of the shift
Hard
10
11% of the shift
Chapters asked
72
9 questions with a figure

The shift at a glance

Subjects, difficulty and chapters

Physics
30 Q · 10 numerical
Easy 18Medium 11Hard 1

Top chapters

Chemistry
30 Q · 10 numerical
Easy 15Medium 13Hard 2

Top chapters

Maths
30 Q · 10 numerical
Easy 4Medium 19Hard 7

Top chapters

Question format
  • Single correct50 Q
  • Numerical value30 Q
  • Other5 Q
  • Match the list2 Q
  • Two statements2 Q
  • Assertion–reason1 Q
What each question asks you to do
  • Calculation33 Q
  • Multi-step27 Q
  • Application11 Q
  • Recall9 Q
  • Conceptual8 Q
  • Data or graph1 Q
  • Diagram reading1 Q

Most common: Calculation.

Every question

All 90 questions, with answers

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

Physics Q31–60

  1. Q31Two balls A and B are placed at the top of 180 m tall tower. Ball A is released from the top at t=0t = 0 s. Ball B is thrown vertically down with an…MediumMotion in a Straight Line
  2. Q32A body of mass M at rest explodes into three pieces, in the ratio of masses 1:1:21 : 1 : 2. Two smaller pieces fly off perpendicular to each other with…EasySystem of Particles and Rotational Motion
  3. Q33The activity of a radioactive material is 2.56×10−32.56 \times 10^{-3} Ci. If the half life of the material is 5 days, after how many days the activity…EasyNuclei
  4. Q34A spherical shell of 1 kg mass and radius R is rolling with angular speed ω\omega on horizontal plane (as shown in figure). The magnitude of…MediumSystem of Particles and Rotational Motion
  5. Q35A cylinder of fixed capacity of 44.8 litres contains helium gas at standard temperature and pressure. The amount of heat needed to raise the…EasyThermodynamics
  6. Q36A wire of length L is hanging from a fixed support. The length changes to L1L_1 and L2L_2 when masses 1 kg and 2 kg are suspended respectively from…MediumMechanical Properties of Solids
  7. Q37Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : The photoelectric effect does…EasyDual Nature of Radiation and Matter
  8. Q38A particle of mass 500 gm is moving in a straight line with velocity v=bx5/2v = bx^{5/2}. The work done by the net force during its displacement from…MediumWork, Energy and Power
  9. Q39A charge particle moves along circular path in a uniform magnetic field in a cyclotron. The kinetic energy of the charge particle increases to 4…EasyMoving Charges and Magnetism
  10. Q40For a series LCR circuit, I vs ω\omega curve is shown : (a) To the left of ωr\omega_r, the circuit is mainly capacitive. (b) To the left of…EasyAlternating Current
  11. Q41A block of metal weighing 2 kg is resting on a frictionless plane (as shown in figure). It is struck by a jet releasing water at a rate of…MediumLaws of Motion
  12. Q42In van dar Wall equation [P+aV2][V−b]=RT\left[P + \frac{a}{V^2}\right][V - b] = RT; P is pressure, V is volume, R is universal gas constant and T is temperature.…EasyUnits and Measurements
  13. Q43Two vectors A⃗\vec{A} and B⃗\vec{B} have equal magnitudes. If magnitude of A⃗+B⃗\vec{A} + \vec{B} is equal to two times the magnitude of…EasyMotion in a Plane
  14. Q44The escape velocity of a body on a planet 'A' is 12 kms−112\ \mathrm{kms^{-1}}. The escape velocity of the body on another planet 'B', whose density is…EasyGravitation
  15. Q45At a certain place the angle of dip is 30∘30^\circ and the horizontal component of earth's magnetic field is 0.5 G. The earth's total magnetic field…EasyMagnetism and Matter
  16. Q46A longitudinal wave is represented by x=10sin⁡2π(nt−xλ)x = 10\sin 2\pi\left(nt - \frac{x}{\lambda}\right) cm. The maximum particle velocity will be four times the…MediumWaves
  17. Q47A parallel plate capacitor filled with a medium of dielectric constant 10, is connected across a battery and is charged. The dielectric slab is…EasyElectrostatic Potential and Capacitance
  18. Q48A positive charge particle of 100 mg is thrown in opposite direction to a uniform electric field of strength 1×105 NC−11 \times 10^5\ \mathrm{NC^{-1}}. If…EasyElectric Charges and Fields
  19. Q49Using Young's double slit experiment, a monochromatic light of wavelength 5000 A˚\mathrm{\AA} produces fringes of fringe width 0.5 mm. If another…EasyWave Optics
  20. Q50Only 2% of the optical source frequency is the available channel bandwidth for an optical communicating system operating at 1000 nm. If an audio…MediumCommunication Systems
  21. Q51Two coils require 20 minutes and 60 minutes respectively to produce same amount of heat energy when connected separately to the same source. If they…EasyCurrent ElectricityNumerical
  22. Q52The intensity of the light from a bulb incident on a surface is 0.22 W/m2\mathrm{W/m^2}. The amplitude of the magnetic field in this light-wave is…MediumElectromagnetic WavesNumerical
  23. Q53As per the given figure, two plates A and B of thermal conductivity K and 2 K are joined together to form a compound plate. The thickness of plates…EasyThermal Properties of MatterNumerical
  24. Q54A body is performing simple harmonic with an amplitude of 10 cm. The velocity of the body was tripled by air Jet when it is at 5 cm from its mean…MediumOscillationsNumerical
  25. Q55The variation of applied potential and current flowing through a given wire is shown in figure. The length of wire is 31.4 cm. The diameter of wire…MediumCurrent ElectricityNumerical
  26. Q56300 cal. of heat is given to a heat engine and it rejects 225 cal. of heat. If source temperature is 227∘C227^\circ\mathrm{C}, then the temperature of…EasyThermodynamicsNumerical
  27. Q57d1\sqrt{d_1} and d2\sqrt{d_2} are the impact parameters corresponding to scattering angles 60∘60^\circ and 90∘90^\circ respectively, when an α\alpha…MediumAtomsNumerical
  28. Q58A transistor is used in an amplifier circuit in common emitter mode. If the base current changes by 100 μ\muA, it brings a change of 10 mA in…EasySemiconductor Electronics: Materials, Devices and Simple CircuitsNumerical
  29. Q59A parallel beam of light is allowed to fall on a transparent spherical globe of diameter 30 cm and refractive index 1.5. The distance from the…HardRay Optics and Optical InstrumentsNumerical
  30. Q60For the network shown below, the value of VB−VAV_B - V_A is ____________ V.EasyCurrent ElectricityNumerical

Chemistry Q61–90

  1. Q61Production of iron in blast furnace follows the following equation Fe3O4(s)+4CO(g)→3Fe(l)+4CO2(g)\mathrm{Fe_3O_4(s) + 4CO(g) \rightarrow 3Fe(l) + 4CO_2(g)} when 4.640 kg of…EasySome Basic Concepts of Chemistry
  2. Q62Which of the following statements are correct ? (A) The electronic configuration of Cr is [Ar] 3d5 4s13d^5\,4s^1. (B) The magnetic quantum number may…EasyStructure of Atom
  3. Q63Arrange the following in the decreasing order of their covalent character : (A) LiCl (B) NaCl (C) KCl (D) CsCl Choose the most appropriate answer…EasyChemical Bonding and Molecular Structure
  4. Q64The solubility of AgCl will be maximum in which of the following ?EasyEquilibrium
  5. Q65Which of the following is a correct statement ?EasySurface Chemistry
  6. Q66The electronic configuration of Pt (atomic number 78) is :MediumThe d- and f-Block Elements
  7. Q67In isolation of which one of the following metals from their ores, the use of cyanide salt is not commonly involved ?MediumGeneral Principles and Processes of Isolation of Elements
  8. Q68Which one of the following reactions indicates the reducing ability of hydrogen peroxide in basic medium ?MediumHydrogen
  9. Q69Match List - I with List - II. List - I (Metal) (A) Li (B) Na (C) Rb (D) Cs List - II (Emitted light wavelength (nm)) (I) 670.8 (II) 589.2 (III)…HardThe s-Block Elements
  10. Q70Match List - I with List - II. List - I (Metal) (A) Cs (B) Ga (C) B (D) Si List - II (Application) (I) High temperature thermometer (II) Water…MediumThe p-Block Elements
  11. Q71The oxoacid of phosphorus that is easily obtained from a reaction of alkali and white phosphorus and has two P-H bonds, is :MediumThe p-Block Elements
  12. Q72The acid that is believed to be mainly responsible for the damage of Taj Mahal isEasyEnvironmental Chemistry
  13. Q73Two isomers 'A' and 'B' with molecular formula C4H8\mathrm{C_4H_8} give different products on oxidation with KMnO4\mathrm{KMnO_4} in acidic medium.…MediumHydrocarbons
  14. Q74[reaction scheme: 2-bromophenol →(CH3)3CLi\xrightarrow{(\mathrm{CH_3})_3\mathrm{CLi}} [A]…HardHaloalkanes and Haloarenes
  15. Q75Given below are two statements : Statement I : The esterification of carboxylic acid with an alcohol is a nucleophilic acyl substitution. Statement…MediumAldehydes, Ketones and Carboxylic Acids
  16. Q76[reactions: aniline →H2OBr2 (excess)\xrightarrow[\mathrm{H_2O}]{\mathrm{Br_2\,(excess)}} A (Major Product); aniline…EasyAmines
  17. Q77The polymer, which can be stretched and retains its original status on releasing the force isEasyPolymers
  18. Q78Sugar moiety in DNA and RNA molecules respectively areEasyBiomolecules
  19. Q79Which of the following compound does not contain sulfur atom ?EasyChemistry in Everyday Life
  20. Q80Given below are two statements. Statement I : Phenols are weakly acidic. Statement II : Therefore they are freely soluble in NaOH solution and are…EasyAlcohols, Phenols and Ethers
  21. Q81Geraniol, a volatile organic compound, is a component of rose oil. The density of the vapour is 0.46 gL−10.46\ \mathrm{gL^{-1}} at 257∘C257^\circ\mathrm{C}…MediumStates of MatterNumerical
  22. Q8217.0 g of NH3\mathrm{NH_3} completely vapourises at −33.42∘C-33.42^\circ\mathrm{C} and 1 bar pressure and the enthalpy change in the process is…EasyThermodynamics (Chemistry)Numerical
  23. Q831.2 mL of acetic acid is dissolved in water to make 2.0 L of solution. The depression in freezing point observed for this strength of acid is…MediumSolutionsNumerical
  24. Q84A dilute solution of sulphuric acid is electrolysed using a current of 0.10 A for 2 hours to produce hydrogen and oxygen gas. The total volume of…MediumElectrochemistryNumerical
  25. Q85The activation energy of one of the reactions in a biochemical process is 532611 J mol−1532611\ \mathrm{J\ mol^{-1}}. When the temperature falls from 310 K to…MediumChemical KineticsNumerical
  26. Q86The number of terminal oxygen atoms present in the product B obtained from the following reaction is ____________.…MediumThe d- and f-Block ElementsNumerical
  27. Q87An acidified manganate solution undergoes disproportionation reaction. The spin-only magnetic moment value of the product having manganese in higher…MediumThe d- and f-Block ElementsNumerical
  28. Q88Kjeldahl's method was used for the estimation of nitrogen in an organic compound. The ammonia evolved from 0.55 g of the compound neutralised 12.5…EasyOrganic Chemistry: Some Basic Principles and TechniquesNumerical
  29. Q89Observe structures of the following compounds [figure: five structures] The total number of structures/compounds which possess asymmetric carbon…EasyOrganic Chemistry: Some Basic Principles and TechniquesNumerical
  30. Q90C6H12O6→ZymaseA→ΔNaOIB+CHI3\mathrm{C_6H_{12}O_6 \xrightarrow{Zymase} A \xrightarrow[\Delta]{NaOI} B + CHI_3} The number of carbon atoms present in the product B is…EasyAlcohols, Phenols and EthersNumerical

Maths Q1–30

  1. Q1The probability that a randomly chosen 2×22\times 2 matrix with all the entries from the set of first 10 primes, is singular, is equal to :HardProbability
  2. Q2Let the solution curve of the differential equation xdydx−y=y2+16x2x\frac{dy}{dx} - y = \sqrt{y^2 + 16x^2}, y(1)=3y(1) = 3 be y=y(x)y = y(x). Then y(2)y(2) is equal to :MediumDifferential Equations
  3. Q3If the mirror image of the point (2,4,7)(2, 4, 7) in the plane 3x−y+4z=23x - y + 4z = 2 is (a,b,c)(a, b, c), then 2a+b+2c2a + b + 2c is equal to :EasyThree Dimensional Geometry
  4. Q4Let f:R→Rf: \mathbf{R} \to \mathbf{R} be a function defined by :…HardContinuity and Differentiability
  5. Q5Let a⃗=αi^+3j^−k^\vec{a} = \alpha\hat{i} + 3\hat{j} - \hat{k}, b⃗=3i^−βj^+4k^\vec{b} = 3\hat{i} - \beta\hat{j} + 4\hat{k} and c⃗=i^+2j^−2k^\vec{c} = \hat{i} + 2\hat{j} - 2\hat{k}…MediumVector Algebra
  6. Q6The area enclosed by y2=8xy^2 = 8x and y=2 xy = \sqrt{2}\,x that lies outside the triangle formed by y=2 xy = \sqrt{2}\,x, x=1x = 1, y=22y = 2\sqrt{2}, is equal…MediumApplication of Integrals
  7. Q7If the system of linear equations 2x+y−z=72x + y - z = 7 x−3y+2z=1x - 3y + 2z = 1 x+4y+δz=kx + 4y + \delta z = k, where δ,k∈R\delta, k \in \mathbf{R} has infinitely many…EasyDeterminants
  8. Q8Let α\alpha and β\beta be the roots of the equation x2+(2i−1)=0x^2 + (2i - 1) = 0. Then, the value of ∣α8+β8∣|\alpha^8 + \beta^8| is equal to :MediumComplex Numbers and Quadratic Equations
  9. Q9Let Δ∈{∧,∨,⇒,⇔}\Delta \in \{\wedge, \vee, \Rightarrow, \Leftrightarrow\} be such that (p∧q) Δ ((p∨q)⇒q)(p \wedge q)\,\Delta\,((p \vee q) \Rightarrow q) is a tautology. Then…EasyMathematical Reasoning
  10. Q10Let A=[aij]A = [a_{ij}] be a square matrix of order 3 such that aij=2j−ia_{ij} = 2^{j-i}, for all i,j=1,2,3i, j = 1, 2, 3. Then, the matrix…MediumMatrices
  11. Q11Let a set A=A1∪A2∪…∪AkA = A_1 \cup A_2 \cup \ldots \cup A_k, where Ai∩Aj=ϕA_i \cap A_j = \phi for i≠ji \ne j, 1≤i,j≤k1 \le i, j \le k. Define the relation R from A to A…EasyRelations and Functions
  12. Q12Let {an}n=0∞\{a_n\}_{n=0}^{\infty} be a sequence such that a0=a1=0a_0 = a_1 = 0 and an+2=2an+1−an+1a_{n+2} = 2a_{n+1} - a_n + 1 for all n≥0n \ge 0. Then,…MediumSequences and Series
  13. Q13The distance between the two points A and A' which lie on y=2y = 2 such that both the line segments AB and A'B (where B is the point (2,3)(2, 3))…MediumStraight Lines
  14. Q14A wire of length 22 m is to be cut into two pieces. One of the pieces is to be made into a square and the other into an equilateral triangle. Then,…MediumApplication of Derivatives
  15. Q15The domain of the function cos⁡−1(2sin⁡−1(14x2−1)π)\cos^{-1}\left(\frac{2\sin^{-1}\left(\frac{1}{4x^2 - 1}\right)}{\pi}\right) is :MediumInverse Trigonometric Functions
  16. Q16If the constant term in the expansion of (3x3−2x2+5x5)10\left(3x^3 - 2x^2 + \frac{5}{x^5}\right)^{10} is 2k⋅l2^k \cdot l, where ll is an odd integer, then the…HardBinomial Theorem
  17. Q17∫05cos⁡(π(x−[x2]))dx\int_0^5 \cos\left(\pi\left(x - \left[\frac{x}{2}\right]\right)\right)dx, where [t][t] denotes greatest integer less than or equal to tt, is equal…MediumIntegrals
  18. Q18Let PQ be a focal chord of the parabola y2=4xy^2 = 4x such that it subtends an angle of π2\frac{\pi}{2} at the point (3,0)(3, 0). Let the line segment PQ…HardConic Sections
  19. Q19Let the tangent to the circle C1:x2+y2=2C_1: x^2 + y^2 = 2 at the point M(−1,1)M(-1, 1) intersect the circle C2:(x−3)2+(y−2)2=5C_2: (x - 3)^2 + (y - 2)^2 = 5, at two distinct…HardConic Sections
  20. Q20Let the mean and the variance of 5 observations x1,x2,x3,x4,x5x_1, x_2, x_3, x_4, x_5 be 245\frac{24}{5} and 19425\frac{194}{25} respectively. If the mean and…MediumStatistics
  21. Q21Let S={z∈C:∣z−2∣≤1,z(1+i)+zˉ(1−i)≤2}S = \{z \in \mathbf{C} : |z - 2| \le 1, z(1 + i) + \bar{z}(1 - i) \le 2\}. Let ∣z−4i∣|z - 4i| attains minimum and maximum values, respectively, at…HardComplex Numbers and Quadratic EquationsNumerical
  22. Q22Let y=y(x)y = y(x) be the solution of the differential equation…HardDifferential EquationsNumerical
  23. Q23Let dd be the distance between the foot of perpendiculars of the points P(1,2,−1)P(1, 2, -1) and Q(2,−1,3)Q(2, -1, 3) on the plane −x+y+z=1-x + y + z = 1. Then d2d^2…MediumThree Dimensional GeometryNumerical
  24. Q24The number of elements in the set S={θ∈[−4π,4π]:3cos⁡22θ+6cos⁡2θ−10cos⁡2θ+5=0}S = \{\theta \in [-4\pi, 4\pi] : 3\cos^2 2\theta + 6\cos 2\theta - 10\cos^2\theta + 5 = 0\} is ____________.MediumTrigonometric FunctionsNumerical
  25. Q25The number of solutions of the equation 2θ−cos⁡2θ+2=02\theta - \cos^2\theta + \sqrt{2} = 0 in R\mathbf{R} is equal to ____________.MediumTrigonometric FunctionsNumerical
  26. Q26…MediumInverse Trigonometric FunctionsNumerical
  27. Q27Let c,k∈Rc, k \in \mathbf{R}. If f(x)=(c+1)x2+(1−c2)x+2kf(x) = (c + 1)x^2 + (1 - c^2)x + 2k and f(x+y)=f(x)+f(y)−xyf(x + y) = f(x) + f(y) - xy, for all x,y∈Rx, y \in \mathbf{R}, then the value…MediumRelations and FunctionsNumerical
  28. Q28Let H:x2a2−y2b2=1H: \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1, a>0,b>0a > 0, b > 0, be a hyperbola such that the sum of lengths of the transverse and the conjugate axes…MediumConic SectionsNumerical
  29. Q29Let P1:r⃗⋅(2i^+j^−3k^)=4P_1: \vec{r}\cdot(2\hat{i} + \hat{j} - 3\hat{k}) = 4 be a plane. Let P2P_2 be another plane which passes through the points (2,−3,2)(2, -3, 2),…MediumThree Dimensional GeometryNumerical
  30. Q30Let b1b2b3b4b_1b_2b_3b_4 be a 4-element permutation with bi∈{1,2,3,……,100}b_i \in \{1, 2, 3, \ldots\ldots, 100\} for 1≤i≤41 \le i \le 4 and bi≠bjb_i \ne b_j for i≠ji \ne j,…MediumPermutations and CombinationsNumerical

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 2022 shifts.