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Friday, 9 October

JEE Main 2022 · June session

JEE Main 24 June 2022, Shift 1

89 questions (1 more dropped by NTA): 30 numerical-answer and 59 multiple choice. 15 were rated hard and 26 easy. By hard questions it ranks 1st of the 4 2022 shifts Lumi analysed. The biggest chapter was Application of Derivatives, with 4 questions.

Questions
89
1 dropped by NTA
Numerical answer
30
34% of the shift
Hard
15
17% of the shift
Chapters asked
68
8 questions with a figure

The shift at a glance

Subjects, difficulty and chapters

Physics
30 Q · 10 numerical
Easy 12Medium 17Hard 1

Top chapters

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

Top chapters

Maths
29 Q · 10 numerical
Easy 1Medium 16Hard 12

Top chapters

Question format
  • Single correct51 Q
  • Numerical value30 Q
  • Other3 Q
  • Match the list2 Q
  • Two statements2 Q
  • Assertion–reason1 Q
What each question asks you to do
  • Multi-step33 Q
  • Calculation27 Q
  • Application11 Q
  • Recall10 Q
  • Conceptual7 Q
  • Data or graph1 Q

Most common: Multi-step.

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. Q31The bulk modulus of a liquid is 3×1010 Nm−23\times10^{10}\ \mathrm{Nm^{-2}}. The pressure required to reduce the volume of liquid by 2% is :EasyMechanical Properties of Solids
  2. Q32Given below are two statements : One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : In an uniform magnetic…EasyMoving Charges and Magnetism
  3. Q33Two identical cells each of emf 1.5 V are connected in parallel across a parallel combination of two resistors each of resistance 20 Ω20\ \Omega. A…MediumCurrent Electricity
  4. Q34Identify the pair of physical quantities which have different dimensions :MediumUnits and Measurements
  5. Q35A projectile is projected with velocity of 25 m/s at an angle θ\theta with the horizontal. After t seconds its inclination with horizontal becomes…HardMotion in a Plane
  6. Q36A block of mass 10 kg starts sliding on a surface with an initial velocity of 9.8 ms−19.8\ \mathrm{ms^{-1}}. The coefficient of friction between the…EasyLaws of Motion
  7. Q37A boy ties a stone of mass 100 g to the end of a 2 m long string and whirls it around in a horizontal plane. The string can withstand the maximum…MediumLaws of Motion
  8. Q38A vertical electric field of magnitude 4.9×1054.9\times10^{5} N/C just prevents a water droplet of a mass 0.1 g from falling. The value of charge on the…EasyElectric Charges and Fields
  9. Q39A particle experiences a variable force F⃗=(4xi^+3y2j^)\vec{F}=(4x\hat{i}+3y^2\hat{j}) in a horizontal xx-yy plane. Assume distance in meters and force is…MediumWork, Energy and Power
  10. Q40The approximate height from the surface of earth at which the weight of the body becomes 13\frac{1}{3} of its weight on the surface of earth is :…EasyGravitation
  11. Q41A resistance of 40 Ω40\ \Omega is connected to a source of alternating current rated 220 V, 50 Hz. Find the time taken by the current to change from…EasyAlternating Current
  12. Q42The equations of two waves are given by : y1=5sin⁡2π(x−vt)y_1=5\sin 2\pi(x-vt) cm y2=3sin⁡2π(x−vt+1.5)y_2=3\sin 2\pi(x-vt+1.5) cm These waves are simultaneously passing through a…EasyWaves
  13. Q43A plane electromagnetic wave travels in a medium of relative permeability 1.61 and relative permittivity 6.44. If magnitude of magnetic intensity is…MediumElectromagnetic Waves
  14. Q44Choose the correct option from the following options given below :EasyAtoms
  15. Q45Nucleus A is having mass number 220 and its binding energy per nucleon is 5.6 MeV. It splits in two fragments 'B' and 'C' of mass numbers 105 and…EasyNuclei
  16. Q46A baseband signal of 3.5 MHz frequency is modulated with a carrier signal of 3.5 GHz frequency using amplitude modulation method. What should be the…MediumCommunication Systems
  17. Q47A Carnot engine whose heat sinks at 27∘27^\circC, has an efficiency of 25%. By how many degrees should the temperature of the source be changed to…MediumThermodynamics
  18. Q48A parallel plate capacitor is formed by two plates each of area 30π cm230\pi\ \mathrm{cm^2} separated by 1 mm. A material of dielectric strength…MediumElectrostatic Potential and Capacitance
  19. Q49The magnetic field at the centre of a circular coil of radius r, due to current I flowing through it, is B. The magnetic field at a point along the…EasyMoving Charges and Magnetism
  20. Q50Two metallic blocks M1M_1 and M2M_2 of same area of cross-section are connected to each other (as shown in figure). If the thermal conductivity of…MediumThermal Properties of Matter
  21. Q510.056 kg of Nitrogen is enclosed in a vessel at a temperature of 127∘127^\circC. The amount of heat required to double the speed of its molecules is…MediumKinetic TheoryNumerical
  22. Q52Two identical thin biconvex lenses of focal length 15 cm and refractive index 1.5 are in contact with each other. The space between the lenses is…MediumRay Optics and Optical InstrumentsNumerical
  23. Q53A transistor is used in common-emitter mode in an amplifier circuit. When a signal of 10 mV is added to the base-emitter voltage, the base current…EasySemiconductor Electronics: Materials, Devices and Simple CircuitsNumerical
  24. Q54As shown in the figure an inductor of inductance 200 mH is connected to an AC source of emf 220 V and frequency 50 Hz. The instantaneous voltage of…MediumAlternating CurrentNumerical
  25. Q55Sodium light of wavelengths 650 nm and 655 nm is used to study diffraction at a single slit of aperture 0.5 mm. The distance between the slit and…MediumWave OpticsNumerical
  26. Q56When light of frequency twice the threshold frequency is incident on the metal plate, the maximum velocity of emitted electron is v1v_1. When the…MediumDual Nature of Radiation and MatterNumerical
  27. Q57From the top of a tower, a ball is thrown vertically upward which reaches the ground in 6 s. A second ball thrown vertically downward from the same…MediumMotion in a Straight LineNumerical
  28. Q58A ball of mass 100 g is dropped from a height h=10h=10 cm on a platform fixed at the top of a vertical spring (as shown in figure). The ball stays on…MediumWork, Energy and PowerNumerical
  29. Q59In a potentiometer arrangement, a cell gives a balancing point at 75 cm length of wire. This cell is now replaced by another cell of unknown emf. If…EasyCurrent ElectricityNumerical
  30. Q60A metre scale is balanced on a knife edge at its centre. When two coins, each of mass 10 g are put one on the top of the other at the 10.0 cm mark…MediumSystem of Particles and Rotational MotionNumerical

Chemistry Q61–90

  1. Q61If a rocket runs on a fuel (C15H30\mathrm{C_{15}H_{30}}) and liquid oxygen, the weight of oxygen required and CO2\mathrm{CO_2} released for every litre…MediumSome Basic Concepts of Chemistry
  2. Q62Consider the following pairs of electrons (A) (a) n=3,l=1,ml=1,ms=+12n=3, l=1, m_l=1, m_s=+\frac{1}{2} (b) n=3,l=2,ml=1,ms=+12n=3, l=2, m_l=1, m_s=+\frac{1}{2} (B) (a)…EasyStructure of Atom
  3. Q63Match List - I with List - II : List - I (A) [PtCl4]2−[\mathrm{PtCl_4}]^{2-} (B) BrF5\mathrm{BrF_5} (C) PCl5\mathrm{PCl_5} (D) [Co(NH3)6]3+[\mathrm{Co(NH_3)_6}]^{3+}…MediumChemical Bonding and Molecular Structure
  4. Q64For a reaction at equilibrium A(g)⇌B(g)+12C(g)\mathrm{A(g)} \rightleftharpoons \mathrm{B(g)}+\frac{1}{2}\mathrm{C(g)} the relation between dissociation constant…MediumEquilibrium
  5. Q65Given below are two statements : Statement I : Emulsions of oil in water are unstable and sometimes they separate into two layers on standing.…MediumSurface Chemistry
  6. Q66Given below are the oxides : Na2O, As2O3, N2O, NO\mathrm{Na_2O,\ As_2O_3,\ N_2O,\ NO} and Cl2O7\mathrm{Cl_2O_7} Number of amphoteric oxides is :MediumThe p-Block Elements
  7. Q67Match List - I with List - II : List - I (A) Sphalerite (B) Calamine (C) Galena (D) Siderite List - II (I) FeCO3\mathrm{FeCO_3} (II) PbS\mathrm{PbS}…EasyGeneral Principles and Processes of Isolation of Elements
  8. Q68The highest industrial consumption of molecular hydrogen is to produce compounds of element :EasyHydrogen
  9. Q69Which of the following statements are correct ? (A) Both LiCl and MgCl2\mathrm{MgCl_2} are soluble in ethanol. (B) The oxides Li2O\mathrm{Li_2O} and MgO…MediumThe s-Block Elements
  10. Q70Identify the correct statement for B2H6\mathrm{B_2H_6} from those given below. (A) In B2H6\mathrm{B_2H_6}, all B-H bonds are equivalent. (B) In…MediumThe p-Block Elements
  11. Q71The most stable trihalide of nitrogen is :EasyThe p-Block Elements
  12. Q72Which one of the following elemental forms is not present in the enamel of the teeth ?EasyChemistry in Everyday Life
  13. Q73In the given reaction sequence, the major product 'C' is :…MediumHaloalkanes and Haloarenes
  14. Q74Two statements are given belwo : Statement I : The melting point of monocarboxylic acid with even number of carbon atoms is higher than that of with…MediumAldehydes, Ketones and Carboxylic Acids
  15. Q75Which of the following is an example of conjugated diketone ?EasyAldehydes, Ketones and Carboxylic Acids
  16. Q76[figure: 4-methoxybenzyl bromide, i.e. 4-CH3O\mathrm{CH_3O}-C6H4-CH2Br\mathrm{CH_2Br}] (i) NaCN (ii) OH−\mathrm{OH^-} (iii) Cyclohexanone (iv)…HardAmines
  17. Q77Which of the following is an example of polyester ?EasyPolymers
  18. Q78A polysaccharide 'X' on boiling with dil H2SO4\mathrm{H_2SO_4} at 393 K under 2-3 atm pressure yields 'Y'. 'Y' on treatment with bromine water gives…EasyBiomolecules
  19. Q79Which of the following is not a broad spectrum antibiotic ?EasyChemistry in Everyday Life
  20. Q80During the qualitative analysis of salt with cation y2+y^{2+}, addition of a reagent (X) to alkaline solution of the salt gives a bright red…EasyOrganic Chemistry: Some Basic Principles and Techniques
  21. Q81Atoms of element X form hcp lattice and those of element Y occupy 23\frac{2}{3} of its tetrahedral voids. The percentage of element X in the lattice…MediumThe Solid StateNumerical
  22. Q822O3(g)⇌3O2(g)\mathrm{2O_3(g)\rightleftharpoons 3O_2(g)} At 300 K, ozone is fifty percent dissociated. The standard free energy change at this temperature and 1…MediumThermodynamics (Chemistry)Numerical
  23. Q83The osmotic pressure of blood is 7.47 bar at 300 K. To inject glucose to a patient intravenously, it has to be isotonic with blood. The…EasySolutionsNumerical
  24. Q84The cell potential for the following cell Pt ∣H2(g)∣H+(aq)∥ Cu2+(0.01 M)∣Cu(s)\mathrm{Pt\,|H_2(g)|H^+(aq)\|\ Cu^{2+}(0.01\ M)|Cu(s)} is 0.576 V at 298 K. The pH of the solution is…MediumElectrochemistryNumerical
  25. Q85The rate constants for decomposition of acetaldehyde have been measured over the temperature range 700−1000700-1000 K. The data has been analysed by…EasyChemical KineticsNumerical
  26. Q86The difference in oxidation state of chromium in chromate and dichromate salts is ______.EasyRedox ReactionsNumerical
  27. Q87In the cobalt-carbonyl complex : [Co2(CO)8]\mathrm{[Co_2(CO)_8]}, number of Co-Co bonds is "X" and terminal CO ligands is "Y". X + Y = ______.MediumCoordination CompoundsNumerical
  28. Q88A 0.166 g sample of an organic compound was digested with conc. H2SO4\mathrm{H_2SO_4} and then distilled with NaOH. The ammonia gas evolved was passed…MediumOrganic Chemistry: Some Basic Principles and TechniquesNumerical
  29. Q89Number of electrophilic centres in the given compound is ______.MediumOrganic Chemistry: Some Basic Principles and TechniquesNumerical
  30. Q90The major product 'A' of the following given reaction has ______ sp2sp^2 hybridized carbon atoms. 2,7-Dimethyl-2,6-octadiene…HardHydrocarbonsNumerical

Maths Q1–30

  1. Q1Let A={z∈C:1≤∣z−(1+i)∣≤2}A = \{z \in \mathbb{C} : 1 \le |z-(1+i)| \le 2\} and B={z∈A:∣z−(1−i)∣=1}B = \{z \in A : |z-(1-i)| = 1\}. Then, B :MediumComplex Numbers and Quadratic Equations
  2. Q2The remainder when 320223^{2022} is divided by 5 is :EasyBinomial Theorem
  3. Q3The surface area of a balloon of spherical shape being inflated, increases at a constant rate. If initially, the radius of balloon is 3 units and…MediumApplication of Derivatives
  4. Q4Bag A contains 2 white, 1 black and 3 red balls and bag B contains 3 black, 2 red and n white balls. One bag is chosen at random and 2 balls drawn…MediumProbability
  5. Q5Let x2+y2+Ax+By+C=0x^2+y^2+Ax+By+C=0 be a circle passing through (0,6)(0, 6) and touching the parabola y=x2y=x^2 at (2,4)(2, 4). Then A+CA+C is equal to ______.HardConic Sections
  6. Q6The number of values of α\alpha for which the system of equations : x+y+z=αx+y+z=\alpha αx+2αy+3z=−1\alpha x+2\alpha y+3z=-1 x+3αy+5z=4x+3\alpha y+5z=4 is inconsistent, isMediumDeterminants
  7. Q7If the sum of the squares of the reciprocals of the roots α\alpha and β\beta of the equation 3x2+λx−1=03x^2+\lambda x-1=0 is 15, then…MediumComplex Numbers and Quadratic Equations
  8. Q8The set of all values of k for which (tan⁡−1x)3+(cot⁡−1x)3=kπ3, x∈R(\tan^{-1}x)^3 + (\cot^{-1}x)^3 = k\pi^3,\ x \in \mathbf{R}, is the interval :HardInverse Trigonometric Functions
  9. Q9Let S={n:1≤n≤50S = \{\sqrt{n} : 1 \le n \le 50 and n is odd}\}. Let a∈Sa \in S and A=[10a−110−a01]A = \begin{bmatrix} 1 & 0 & a \\ -1 & 1 & 0 \\ -a & 0 & 1 \end{bmatrix}.…MediumDeterminants
  10. Q10For the function f(x)=4log⁡e(x−1)−2x2+4x+5, x>1f(x)=4\log_e(x-1)-2x^2+4x+5,\ x>1, which one of the following is NOT correct ?HardApplication of Derivatives
  11. Q11If the tangent at the point (x1,y1)(x_1, y_1) on the curve y=x3+3x2+5y=x^3+3x^2+5 passes through the origin, then (x1,y1)(x_1, y_1) does NOT lie on the curve :MediumApplication of Derivatives
  12. Q12The sum of absolute maximum and absolute minimum values of the function f(x)=∣2x2+3x−2∣+sin⁡xcos⁡xf(x)=|2x^2+3x-2|+\sin x\cos x in the interval [0,1][0, 1] is :HardApplication of Derivatives
  13. Q13If {ai}i=1n\{a_i\}_{i=1}^{n}, where n is an even integer, is an arithmetic progression with common difference 1, and ∑i=1nai=192\sum_{i=1}^{n} a_i = 192,…MediumSequences and Series
  14. Q14If x=x(y)x=x(y) is the solution of the differential equation ydxdy=2x+y3(y+1)ey, x(1)=0y\frac{dx}{dy}=2x+y^3(y+1)e^y,\ x(1)=0; then x(e)x(e) is equal to :MediumDifferential Equations
  15. Q15Let λx−2y=μ\lambda x-2y=\mu be a tangent to the hyperbola a2x2−y2=b2a^2x^2-y^2=b^2. Then (λa)2−(μb)2\left(\frac{\lambda}{a}\right)^2-\left(\frac{\mu}{b}\right)^2 is equal…MediumConic Sections
  16. Q16Let a^,b^\hat{a}, \hat{b} be unit vectors. If c⃗\vec{c} be a vector such that the angle between a^\hat{a} and c⃗\vec{c} is π12\frac{\pi}{12}, and…HardVector Algebra
  17. Q17If a random variable X follows the Binomial distribution B(33, p) such that 3P(X=0)=P(X=1)3P(X=0)=P(X=1), then the value of…MediumProbability
  18. Q18The domain of the function f(x)=cos⁡−1(x2−5x+6x2−9)log⁡e(x2−3x+2)f(x)=\frac{\cos^{-1}\left(\frac{x^2-5x+6}{x^2-9}\right)}{\log_e(x^2-3x+2)} is :MediumRelations and FunctionsDropped
  19. Q19Let S={θ∈[−π,π]−{±π2}:sin⁡θtan⁡θ+tan⁡θ=sin⁡2θ}S=\left\{\theta\in[-\pi, \pi]-\left\{\pm\frac{\pi}{2}\right\}: \sin\theta\tan\theta+\tan\theta=\sin 2\theta\right\}. If…MediumTrigonometric Functions
  20. Q20The number of choices for Δ∈{∧,∨,⇒,⇔}\Delta\in\{\wedge, \vee, \Rightarrow, \Leftrightarrow\}, such that…MediumMathematical Reasoning
  21. Q21The number of one-one functions f:{a,b,c,d}→{0,1,2,…,10}f:\{a, b, c, d\}\to\{0, 1, 2, \ldots, 10\} such that 2f(a)−f(b)+3f(c)+f(d)=02f(a)-f(b)+3f(c)+f(d)=0 is ______.HardRelations and FunctionsNumerical
  22. Q22In an examination, there are 5 multiple choice questions with 3 choices, out of which exactly one is correct. There are 3 marks for each correct…MediumPermutations and CombinationsNumerical
  23. Q23Let A(3a,a)A\left(\frac{3}{\sqrt{a}}, \sqrt{a}\right), a>0a>0, be a fixed point in the xyxy-plane. The image of A in yy-axis be B and the image of B in…HardStraight LinesNumerical
  24. Q24Let a line having direction ratios 1,−4,21, -4, 2 intersect the lines x−73=y−1−1=z+21\frac{x-7}{3}=\frac{y-1}{-1}=\frac{z+2}{1} and…MediumThree Dimensional GeometryNumerical
  25. Q25The number of points where the function…HardContinuity and DifferentiabilityNumerical
  26. Q26Let f(θ)=sin⁡θ+∫−π/2π/2(sin⁡θ+tcos⁡θ)f(t) dtf(\theta)=\sin\theta+\int_{-\pi/2}^{\pi/2}(\sin\theta+t\cos\theta)f(t)\,dt. Then the value of ∣∫0π/2f(θ) dθ∣\left|\int_0^{\pi/2}f(\theta)\,d\theta\right|…HardIntegralsNumerical
  27. Q27Let max⁡0≤x≤2{9−x25−x}=α\max_{0\le x\le 2}\left\{\frac{9-x^2}{5-x}\right\}=\alpha and min⁡0≤x≤2{9−x25−x}=β\min_{0\le x\le 2}\left\{\frac{9-x^2}{5-x}\right\}=\beta. If…HardIntegralsNumerical
  28. Q28If two tangents drawn from a point (α,β)(\alpha, \beta) lying on the ellipse 25x2+4y2=125x^2+4y^2=1 to the parabola y2=4xy^2=4x are such that the slope of one…HardConic SectionsNumerical
  29. Q29Let S be the region bounded by the curves y=x3y=x^3 and y2=xy^2=x. The curve y=2∣x∣y=2|x| divides S into two regions of areas R1R_1 and R2R_2. If…HardApplication of IntegralsNumerical
  30. Q30If the shortest distance between the lines r⃗=(−i^+3k^)+λ(i^−aj^)\vec{r}=(-\hat{i}+3\hat{k})+\lambda(\hat{i}-a\hat{j}) and…MediumThree Dimensional GeometryNumerical

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.