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Friday, 9 October

JEE Main 2022 · July session

JEE Main 28 July 2022, Shift 1

90 questions: 30 numerical-answer and 60 multiple choice. 15 were rated hard and 32 easy. By hard questions it ranks 1st of the 4 2022 shifts Lumi analysed. The biggest chapter was Application of Derivatives, with 3 questions.

Questions
90
none dropped
Numerical answer
30
33% of the shift
Hard
15
17% of the shift
Chapters asked
67
11 questions with a figure

The shift at a glance

Subjects, difficulty and chapters

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

Top chapters

Chemistry
30 Q · 10 numerical
Easy 12Medium 16Hard 2

Top chapters

Maths
30 Q · 10 numerical
Easy 3Medium 15Hard 12

Top chapters

Question format
  • Single correct46 Q
  • Numerical value30 Q
  • Other4 Q
  • Diagram based4 Q
  • Match the list4 Q
  • Two statements2 Q
What each question asks you to do
  • Multi-step27 Q
  • Calculation24 Q
  • Conceptual13 Q
  • Recall13 Q
  • Application11 Q
  • Data or graph1 Q
  • Diagram reading1 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 dimensions of (B2μ0)\left(\frac{B^2}{\mu_0}\right) will be : (if μ0\mu_0 : permeability of free space and B : magnetic field)EasyUnits and Measurements
  2. Q32A NCC parade is going at a uniform speed of 9 km/h under a mango tree on which a monkey is sitting at a height of 19.6 m. At any particular instant,…EasyMotion in a Plane
  3. Q33In two different experiments, an object of mass 5 kg moving with a speed of 25 ms−125\ \mathrm{ms^{-1}} hits two different walls and comes to rest within…EasyLaws of Motion
  4. Q34A balloon has mass of 10 g in air. The air escapes from the balloon at a uniform rate with velocity 4.5 cm/s. If the balloon shrinks in 5 s…MediumLaws of Motion
  5. Q35If the radius of earth shrinks by 2% while its mass remains same. The acceleration due to gravity on the earth's surface will approximately :EasyGravitation
  6. Q36The force required to stretch a wire of cross-section 1 cm21\ \mathrm{cm^2} to double its length will be : (Given Yong's modulus of the wire…EasyMechanical Properties of Solids
  7. Q37A Carnot engine has efficiency of 50%. If the temperature of sink is reduced by 40∘40^\circC, its efficiency increases by 30%. The temperature of the…MediumThermodynamics
  8. Q38Given below are two statements : Statement I : The average momentum of a molecule in a sample of an ideal gas depends on temperature. Statement II :…MediumKinetic Theory
  9. Q39In the wave equation y=0.5sin⁡2πλ(400 t−x) my=0.5\sin\frac{2\pi}{\lambda}(400\,t-x)\ \mathrm{m} the velocity of the wave will be :EasyWaves
  10. Q40Two capacitors, each having capacitance 40 μ\muF are connected in series. The space between one of the capacitors is filled with dielectric…MediumElectrostatic Potential and Capacitance
  11. Q41A wire of resistance R1R_1 is drawn out so that its length is increased by twice of its original length. The ratio of new resistance to original…EasyCurrent Electricity
  12. Q42The current sensitivity of a galvanometer can be increased by : (A) decreasing the number of turns (B) increasing the magnetic field (C) decreasing…MediumMoving Charges and Magnetism
  13. Q43As shown in the figure, a metallic rod of linear density 0.45 kg m−10.45\ \mathrm{kg\,m^{-1}} is lying horizontally on a smooth inclined plane which makes an…MediumMoving Charges and Magnetism
  14. Q44The equation of current in a purely inductive circuit is 5sin⁡(49πt−30∘)5\sin(49\pi t-30^\circ). If the inductance is 30 mH then the equation for the voltage…MediumAlternating Current
  15. Q45As shown in the figure, after passing through the medium 1. The speed of light v2v_2 in medium 2 will be : (Given c=3×108 ms−1c=3\times10^8\ \mathrm{ms^{-1}})EasyElectromagnetic Waves
  16. Q46In normal adjustment, for a refracting telescope, the distance between objective and eye piece is 30 cm. The focal length of the objective, when the…EasyRay Optics and Optical Instruments
  17. Q47The equation λ=1.227x\lambda=\frac{1.227}{x} nm can be used to find the de-Brogli wavelength of an electron. In this equation xx stands for : Where m =…EasyDual Nature of Radiation and Matter
  18. Q48The half life period of a radioactive substance is 60 days. The time taken for 78\frac{7}{8}th of its original mass to disintegrate will be :EasyNuclei
  19. Q49Identify the solar cell characteristics from the following options :EasySemiconductor Electronics: Materials, Devices and Simple Circuits
  20. Q50In the case of amplitude modulation to avoid distortion the modulation index (μ\mu) should be :EasyCommunication Systems
  21. Q51If the projection of 2i^+4j^−2k^2\hat{i}+4\hat{j}-2\hat{k} on i^+2j^+αk^\hat{i}+2\hat{j}+\alpha\hat{k} is zero. Then, the value of α\alpha will be __________.EasyMotion in a PlaneNumerical
  22. Q52A freshly prepared radioactive source of half life 2 hours 30 minutes emits radiation which is 64 times the permissible safe level. The minimum…EasyNucleiNumerical
  23. Q53In a Young's double slit experiment, a laser light of 560 nm produces an interference pattern with consecutive bright fringes' separation of 7.2 mm.…EasyWave OpticsNumerical
  24. Q54The frequencies at which the current amplitude in an LCR series circuit becomes 12\frac{1}{\sqrt{2}} times its maximum value, are 212 rad s−1^{-1}…MediumAlternating CurrentNumerical
  25. Q55As shown in the figure, a potentiometer wire of resistance 20 Ω\Omega and length 300 cm is connected with resistance box (R.B.) and a standard cell…HardCurrent ElectricityNumerical
  26. Q56Two electric dipoles of dipole moments 1.2×10−301.2\times10^{-30} Cm and 2.4×10−302.4\times10^{-30} Cm are placed in two different uniform electric fields of…EasyElectric Charges and FieldsNumerical
  27. Q57The frequency of echo will be __________ Hz if the train blowing a whistle of frequency 320 Hz is moving with a velocity of 36 km/h towards a hill…MediumWavesNumerical
  28. Q58The diameter of an air bubble which was initially 2 mm, rises steadily through a solution of density 1750 kg m−3^{-3} at the rate of 0.35…MediumMechanical Properties of FluidsNumerical
  29. Q59A block of mass 'm' (as shown in figure) moving with kinetic energy E compresses a spring through a distance 25 cm when, its speed is halved. The…MediumWork, Energy and PowerNumerical
  30. Q60Four identical discs each of mass 'M' and diameter 'a' are arranged in a small plane as shown in figure. If the moment of inertia of the system…MediumSystem of Particles and Rotational MotionNumerical

Chemistry Q61–90

  1. Q61Identify the incorrect statement from the following.MediumStructure of Atom
  2. Q62Which of the following relation is not correct ?EasyThermodynamics (Chemistry)
  3. Q63Match List - I with List - II. List - I | List - II (A) Cd(s)+2Ni(OH)3(s)→CdO(s)+2Ni(OH)2(s)+H2O(l)\mathrm{Cd(s)+2Ni(OH)_3(s)\to CdO(s)+2Ni(OH)_2(s)+H_2O(\mathit{l})} | (I) Primary battery…MediumElectrochemistry
  4. Q64Match List - I with List - II. List - I (Reaction) | List - II (Catalyst) (A) 4NH3(g)+5O2(g)→4NO(g)+6H2O(g)\mathrm{4NH_3(g)+5O_2(g)\to4NO(g)+6H_2O(g)} | (I) NO(g) (B)…EasySurface Chemistry
  5. Q65In which of the following pairs, electron gain enthalpies of constituent elements are nearly the same or identical ? (A) Rb and Cs (B) Na and K (C)…MediumClassification of Elements and Periodicity in Properties
  6. Q66Which of the reaction is suitable for concentrating ore by leaching process ?EasyGeneral Principles and Processes of Isolation of Elements
  7. Q67The metal salts formed during softening of hardwater using Clark's method are :EasyHydrogen
  8. Q68Which of the following statement is incorrect ?MediumThe s-Block Elements
  9. Q69Match List - I with List - II, match the gas evolved during each reaction. List - I | List - II (A) (NH4)2Cr2O7→Δ\mathrm{(NH_4)_2Cr_2O_7\xrightarrow{\Delta}} |…MediumThe p-Block Elements
  10. Q70Which of the following has least tendency to liberate H2\mathrm{H_2} from mineral acids ?EasyElectrochemistry
  11. Q71Given below are two statements : Statement I : In polluted water values of both dissolved oxygen and BOD are very low. Statement II : Eutrophication…EasyEnvironmental Chemistry
  12. Q72Match List - I with List - II. List - I | List - II (A) [figure: five-membered saturated ring containing one O atom (tetrahydrofuran-type)] | (I)…MediumOrganic Chemistry: Some Basic Principles and Techniques
  13. Q73Choose the correct option for the following reactions. (CH3)3C−CH=CH2\mathrm{(CH_3)_3C-CH=CH_2} (3,3-dimethylbut-1-ene, drawn as…MediumHydrocarbons
  14. Q74Among the following marked proton of which compound shows lowest pKa\mathrm{pK_a} value ?MediumOrganic Chemistry: Some Basic Principles and Techniques
  15. Q75Identify the major products A and B for the below given reaction sequence. Benzene…MediumAlcohols, Phenols and Ethers
  16. Q76Identify the correct statement for the below given transformation. CH3−CH2−CH2−CH−CH3\mathrm{CH_3-CH_2-CH_2-CH-CH_3} with N⊕(CH3)3\mathrm{N^{\oplus}(CH_3)_3} on the CH…MediumAmines
  17. Q77Terylene polymer is obtained by condensation of :EasyPolymers
  18. Q78For the below given cyclic hemiacetal (X), the correct pyranose structure is :HardBiomolecules
  19. Q79Statements about Enzyme Inhibitor Drugs are given below : (A) There are Competitive and Non-competitive inhibitor drugs. (B) These can bind at the…EasyChemistry in Everyday Life
  20. Q80For kinetic study of the reaction of iodide ion with H2O2\mathrm{H_2O_2} at room temperature : (A) Always use freshly prepared starch solution. (B)…MediumChemical Kinetics
  21. Q81In the given reaction, X+Y+3Z⇌XYZ3\mathrm{X+Y+3Z\rightleftharpoons XYZ_3} if one mole of each of X and Y with 0.05 mol of Z gives compound XYZ3\mathrm{XYZ_3}.…MediumSome Basic Concepts of ChemistryNumerical
  22. Q82An element M crystallises in a body centred cubic unit cell with a cell edge of 300 pm. The density of the element is 6.0 g cm−36.0\ \mathrm{g\,cm^{-3}}.…MediumThe Solid StateNumerical
  23. Q83The number of paramagnetic species among the following is __________. B2, Li2, C2, C2−, O22−, O2+ and He2+\mathrm{B_2,\ Li_2,\ C_2,\ C_2^{-},\ O_2^{2-},\ O_2^{+}\ and\ He_2^{+}}MediumChemical Bonding and Molecular StructureNumerical
  24. Q84150 g of acetic acid was contaminated with 10.2 g ascorbic acid (C6H8O6\mathrm{C_6H_8O_6}) to lower down its freezing point by…EasySolutionsNumerical
  25. Q85KaK_a for butyric acid (C3H7COOH\mathrm{C_3H_7COOH}) is 2×10−52\times10^{-5}. The pH of 0.2 M solution of butyric acid is __________ ×10−1\times10^{-1}. (Nearest…EasyEquilibriumNumerical
  26. Q86For the given first order reaction A→B\mathrm{A\to B} the half life of the reaction is 0.3010 min. The ratio of the initial concentration of reactant…EasyChemical KineticsNumerical
  27. Q87The number of interhalogens from the following having square pyramidal structure is :…MediumThe p-Block ElementsNumerical
  28. Q88The disproportionation of MnO42−\mathrm{MnO_4^{2-}} in acidic medium resulted in the formation of two manganese compounds A and B. If the oxidation…MediumThe d- and f-Block ElementsNumerical
  29. Q89Total number of relatively more stable isomer(s) possible for octahedral complex [Cu(en)2(SCN)2]\mathrm{[Cu(en)_2(SCN)_2]} will be __________.HardCoordination CompoundsNumerical
  30. Q90On complete combustion of 0.492 g of an organic compound containing C, H and O, 0.7938 g of CO2\mathrm{CO_2} and 0.4428 g of H2O\mathrm{H_2O} was…EasyOrganic Chemistry: Some Basic Principles and TechniquesNumerical

Maths Q1–30

  1. Q1Let the solution curve of the differential equation x dy=(x2+y2+y)dx, x>0x\,dy=\left(\sqrt{x^2+y^2}+y\right)dx,\ x>0, intersect the line x=1x=1 at y=0y=0 and the line…MediumDifferential Equations
  2. Q2Considering only the principal values of the inverse trigonometric functions, the domain of the function…EasyInverse Trigonometric Functions
  3. Q3Let the vectors a⃗=(1+t)i^+(1−t)j^+k^, b⃗=(1−t)i^+(1+t)j^+2k^\vec{a}=(1+t)\hat{i}+(1-t)\hat{j}+\hat{k},\ \vec{b}=(1-t)\hat{i}+(1+t)\hat{j}+2\hat{k} and…EasyVector Algebra
  4. Q4Considering the principal values of the inverse trigonometric functions, the sum of all the solutions of the equation…HardInverse Trigonometric Functions
  5. Q5Let the operations ∗,⊙∈{∧,∨}*,\odot\in\{\wedge,\vee\}. If (p∗q)⊙(p⊙∼q)(p*q)\odot(p\odot\sim q) is a tautology, then the ordered pair (∗,⊙)(*,\odot) is :MediumMathematical Reasoning
  6. Q6Let a vector a⃗\vec{a} has magnitude 9. Let a vector b⃗\vec{b} be such that for every (x,y)∈R×R−{(0,0)}(x,y)\in\mathbf{R}\times\mathbf{R}-\{(0,0)\}, the vector…MediumVector Algebra
  7. Q7For t∈(0,2π)t\in(0,2\pi), if ABC is an equilateral triangle with vertices A(sin⁡t,−cos⁡t)A(\sin t,-\cos t), B(cos⁡t,sin⁡t)B(\cos t,\sin t) and C(a,b)C(a,b) such that its orthocentre…HardStraight Lines
  8. Q8For α∈N\alpha\in\mathbf{N}, consider a relation RR on N\mathbf{N} given by R={(x,y):3x+αy is a multiple of 7}R=\{(x,y):3x+\alpha y\text{ is a multiple of }7\}. The relation RR is…MediumRelations and Functions
  9. Q9Out of 60% female and 40% male candidates appearing in an exam, 60% candidates qualify it. The number of females qualifying the exam is twice the…EasyProbability
  10. Q10If y=y(x), x∈(0,π/2)y=y(x),\ x\in(0,\pi/2) be the solution curve of the differential equation…HardDifferential Equations
  11. Q11If the tangents drawn at the points P and Q on the parabola y2=2x−3y^2=2x-3 intersect at the point R(0, 1), then the orthocentre of the triangle PQR is :HardConic Sections
  12. Q12Let C be the centre of the circle x2+y2−x+2y=114x^2+y^2-x+2y=\frac{11}{4} and P be a point on the circle. A line passes through the point C, makes an angle of…MediumConic Sections
  13. Q13The remainder when 72022+320227^{2022}+3^{2022} is divided by 5 is :MediumBinomial Theorem
  14. Q14Let the matrix A=[010001100]A=\begin{bmatrix}0&1&0\\0&0&1\\1&0&0\end{bmatrix} and the matrix B0=A49+2A98B_0=A^{49}+2A^{98}. If Bn=Adj(Bn−1)B_n=\mathrm{Adj}(B_{n-1}) for all…HardDeterminants
  15. Q15Let S1={z1∈C:∣z1−3∣=12}S_1=\left\{z_1\in\mathbf{C}:|z_1-3|=\frac{1}{2}\right\} and S2={z2∈C:∣z2−∣z2+1∣∣=∣z2+∣z2−1∣∣}S_2=\{z_2\in\mathbf{C}:|z_2-|z_2+1||=|z_2+|z_2-1||\}. Then, for z1∈S1z_1\in S_1 and…HardComplex Numbers and Quadratic Equations
  16. Q16The foot of the perpendicular from a point on the circle x2+y2=1, z=0x^2+y^2=1,\ z=0 to the plane 2x+3y+z=62x+3y+z=6 lies on which one of the following curves ?HardThree Dimensional Geometry
  17. Q17If the minimum value of f(x)=5x22+αx5, x>0f(x)=\frac{5x^2}{2}+\frac{\alpha}{x^5},\ x>0, is 14, then the value of α\alpha is equal to :MediumApplication of Derivatives
  18. Q18Let α,β\alpha,\beta and γ\gamma be three positive real numbers. Let f(x)=αx5+βx3+γx, x∈Rf(x)=\alpha x^5+\beta x^3+\gamma x,\ x\in\mathbf{R} and…MediumRelations and Functions
  19. Q19Consider the sequence a1,a2,a3,…a_1,a_2,a_3,\ldots such that a1=1, a2=2a_1=1,\ a_2=2 and an+2=2an+1+ana_{n+2}=\frac{2}{a_{n+1}}+a_n for n=1,2,3,…n=1,2,3,\ldots. If…HardSequences and Series
  20. Q20The minimum value of the twice differentiable function f(x)=∫0xex−tf′(t) dt−(x2−x+1)ex, x∈Rf(x)=\int_0^x e^{x-t}f'(t)\,dt-(x^2-x+1)e^x,\ x\in\mathbf{R}, is :HardApplication of Derivatives
  21. Q21Let S be the set of all passwords which are six to eight characters long, where each character is either an alphabet from {A,B,C,D,E}\{A,B,C,D,E\} or a…MediumPermutations and CombinationsNumerical
  22. Q22Let P(−2,−1,1)P(-2,-1,1) and Q(5617,4317,11117)Q\left(\frac{56}{17},\frac{43}{17},\frac{111}{17}\right) be the vertices of the rhombus PRQS. If the direction ratios of the…MediumThree Dimensional GeometryNumerical
  23. Q23Let f:[0,1]→Rf:[0,1]\to\mathbf{R} be a twice differentiable function in (0,1)(0,1) such that f(0)=3f(0)=3 and f(1)=5f(1)=5. If the line y=2x+3y=2x+3 intersects the graph…MediumApplication of DerivativesNumerical
  24. Q24If ∫0315x31+x2+(1+x2)3 dx=α2+β3\int_0^{\sqrt{3}}\frac{15x^3}{\sqrt{1+x^2+\sqrt{(1+x^2)^3}}}\,dx=\alpha\sqrt{2}+\beta\sqrt{3}, where α,β\alpha,\beta are integers, then…HardIntegralsNumerical
  25. Q25Let A=[1−12α]A=\begin{bmatrix}1&-1\\2&\alpha\end{bmatrix} and B=[β110], α,β∈RB=\begin{bmatrix}\beta&1\\1&0\end{bmatrix},\ \alpha,\beta\in\mathbf{R}. Let α1\alpha_1 be…MediumMatricesNumerical
  26. Q26For p,q∈Rp,q\in\mathbf{R}, consider the real valued function f(x)=(x−p)2−q, x∈Rf(x)=(x-p)^2-q,\ x\in\mathbf{R} and q>0q>0. Let a1,a2,a3a_1,a_2,a_3 and a4a_4 be in an…MediumComplex Numbers and Quadratic EquationsNumerical
  27. Q27For the hyperbola H:x2−y2=1H:x^2-y^2=1 and the ellipse E:x2a2+y2b2=1, a>b>0E:\frac{x^2}{a^2}+\frac{y^2}{b^2}=1,\ a>b>0, let the (1) eccentricity of E be reciprocal of the…HardConic SectionsNumerical
  28. Q28Let x1,x2,x3,…,x20x_1,x_2,x_3,\ldots,x_{20} be in geometric progression with x1=3x_1=3 and the common ratio 12\frac{1}{2}. A new data is constructed replacing…MediumStatisticsNumerical
  29. Q29lim⁡x→0((x+2cos⁡x)3+2(x+2cos⁡x)2+3sin⁡(x+2cos⁡x)(x+2)3+2(x+2)2+3sin⁡(x+2))100x\lim_{x\to0}\left(\frac{(x+2\cos x)^3+2(x+2\cos x)^2+3\sin(x+2\cos x)}{(x+2)^3+2(x+2)^2+3\sin(x+2)}\right)^{\frac{100}{x}} is equal to __________.HardContinuity and DifferentiabilityNumerical
  30. Q30The sum of all real values of xx for which 3x2−9x+17x2+3x+10=5x2−7x+193x2+5x+12\frac{3x^2-9x+17}{x^2+3x+10}=\frac{5x^2-7x+19}{3x^2+5x+12} is equal to __________.MediumComplex Numbers and Quadratic EquationsNumerical

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.