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Friday, 9 October

JEE Main 2023 · April session

JEE Main 6 April 2023, Shift 1

90 questions: 30 numerical-answer and 60 multiple choice. 10 were rated hard and 28 easy. By hard questions it ranks 4th of the 4 2023 shifts Lumi analysed. The biggest chapter was Amines, with 3 questions.

Questions
90
none dropped
Numerical answer
30
33% of the shift
Hard
10
11% of the shift
Chapters asked
66
11 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 8Medium 18Hard 4

Top chapters

Maths
30 Q · 10 numerical
Easy 2Medium 23Hard 5

Top chapters

Question format
  • Single correct41 Q
  • Numerical value30 Q
  • Diagram based8 Q
  • Match the list5 Q
  • Assertion–reason4 Q
  • Other2 Q
What each question asks you to do
  • Calculation29 Q
  • Multi-step24 Q
  • Conceptual13 Q
  • Application11 Q
  • Recall8 Q
  • Data or graph3 Q
  • Diagram reading2 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. Q31By what percentage will the transmission range of a TV tower be affected when the height of the tower is increased by 21% ?EasyCommunication Systems
  2. Q32Name the logic gate equivalent to the diagram attachedEasySemiconductor Electronics: Materials, Devices and Simple Circuits
  3. Q33A small ball of mass M and density ρ\rho is dropped in a viscous liquid of density ρ0\rho_0. After some time, the ball falls with a constant…EasyMechanical Properties of Fluids
  4. Q34The energy levels of an hydrogen atom are shown below. The transition corresponding to emission of shortest wavelength isEasyAtoms
  5. Q35The kinetic energy of an electron, α\alpha-particle and a proton are given as 4 K, 2 K and K respectively. The de-Broglie wavelength associated…MediumDual Nature of Radiation and Matter
  6. Q36A monochromatic light wave with wavelength λ1\lambda_1 and frequency ν1\nu_1 in air enters another medium. If the angle of incidence and angle of…EasyRay Optics and Optical Instruments
  7. Q37For the plane electromagnetic wave given by E=E0sin⁡(ωt−kx)E=E_0\sin(\omega t-kx) and B=B0sin⁡(ωt−kx)B=B_0\sin(\omega t-kx), the ratio of average electric energy density to…EasyElectromagnetic Waves
  8. Q38The induced emf can be produced in a coil by A. moving the coil with uniform speed inside uniform magnetic field B. moving the coil with non uniform…EasyElectromagnetic Induction
  9. Q39A particle is moving with constant speed in a circular path. When the particle turns by an angle 90∘90^\circ, the ratio of instantaneous velocity to…MediumMotion in a Plane
  10. Q40A long straight wire of circular cross-section (radius a) is carrying steady current I. The current I is uniformly distributed across this…EasyMoving Charges and Magnetism
  11. Q41The resistivity (ρ\rho) of semiconductor varies with temperature. Which of the following curve represents the correct behaviourEasySemiconductor Electronics: Materials, Devices and Simple Circuits
  12. Q42For a uniformly charged thin spherical shell, the electric potential (V) radially away from the centre (O) of shell can be graphically represented…EasyElectrostatic Potential and Capacitance
  13. Q43A mass m is attached to two strings as shown in figure. The spring constants of two springs are K1K_1 and K2K_2. For the frictionless surface, the…EasyOscillations
  14. Q44A source supplies heat to a system at the rate of 1000 W. If the system performs work at a rate of 200 W. The rate at which internal energy of the…EasyThermodynamics
  15. Q45The number of air molecules per cm3\mathrm{cm^3} increased from 3×10193\times10^{19} to 12×101912\times10^{19}. The ratio of collision frequency of air…EasyKinetic Theory
  16. Q46Two resistances are given as R1=(10±0.5) ΩR_1=(10\pm0.5)\,\Omega and R2=(15±0.5) ΩR_2=(15\pm0.5)\,\Omega. The percentage error in the measurement of equivalent resistance…MediumUnits and Measurements
  17. Q47Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : When a body is projected at an…EasyMotion in a Plane
  18. Q48A small block of mass 100 g is tied to a spring of spring constant 7.5 N/m and length 20 cm. The other end of spring is fixed at a particular point…MediumLaws of Motion
  19. Q49Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Earth has atmosphere whereas…EasyGravitation
  20. Q50A planet has double the mass of the earth. Its average density is equal to that of the earth. An object weighing W on earth will weigh on that planet:MediumGravitation
  21. Q51A person driving car at a constant speed of 15 m/s is approaching a vertical wall. The person notices a change of 40 Hz in the frequency of his…MediumWavesNumerical
  22. Q52A pole is vertically submerged in swimming pool, such that it gives a length of shadow 2.15 m within water when sunlight is incident at an angle of…HardRay Optics and Optical InstrumentsNumerical
  23. Q53The radius of fifth orbit of the Li++\mathrm{Li^{++}} is ____________ ×10−12\times10^{-12} m. Take: radius of hydrogen atom = 0.51 ÅEasyAtomsNumerical
  24. Q54An ideal transformer with purely resistive load operates at 12 kV on the primary side. It supplies electrical energy to a number of nearby houses at…MediumAlternating CurrentNumerical
  25. Q55The length of a metallic wire is increased by 20% and its area of cross section is reduced by 4%. The percentage change in resistance of the…EasyCurrent ElectricityNumerical
  26. Q56A parallel plate capacitor with plate area A and plate separation d is filled with a dielectric material of dielectric constant K=4K=4. The thickness…MediumElectrostatic Potential and CapacitanceNumerical
  27. Q57Two identical circular wires of radius 20 cm and carrying current 2\sqrt2 A are placed in perpendicular planes as shown in figure. The net magnetic…MediumMoving Charges and MagnetismNumerical
  28. Q58A steel rod has a radius of 20 mm and a length of 2.0 m. A force of 62.8 kN stretches it along its length. Young's modulus of steel is…EasyMechanical Properties of SolidsNumerical
  29. Q59A particle of mass 10 g moves in a straight line with retardation 2x2x, where xx is the displacement in SI units. Its loss of kinetic energy for…MediumWork, Energy and PowerNumerical
  30. Q60Two identical solid spheres each of mass 2 kg and radii 10 cm are fixed at the ends of a light rod. The separation between the centres of the…MediumSystem of Particles and Rotational MotionNumerical

Chemistry Q61–90

  1. Q61A compound is formed by two elements X and Y. The element Y forms cubic close packed arrangement and those of element X occupy one third of the…MediumThe Solid State
  2. Q62For a concentrated solution of a weak electrolyte (KeqK_{eq} = equilibrium constant) A2B3\mathrm{A_2B_3} of concentration 'c', the degree of…MediumEquilibrium
  3. Q63Match List I with List II LIST I - Enzymatic reaction | LIST II - Enzyme A. Sucrose →\rightarrow Glucose and Fructose | I. Zymase B. Glucose…EasyBiomolecules
  4. Q64The difference between electron gain enthalpies will be maximum between:MediumClassification of Elements and Periodicity in Properties
  5. Q65Which of the following options are correct for the reaction…MediumRedox Reactions
  6. Q66Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Loss of electron from hydrogen…MediumHydrogen
  7. Q67The standard electrode potential of M+/M\mathrm{M^+/M} in aqueous solution does not depend onMediumElectrochemistry
  8. Q68The setting time of Cement is increased by addingEasyThe s-Block Elements
  9. Q69Match List I with List II LIST I (Oxide) | LIST II (Type of bond) A. N2O4\mathrm{N_2O_4} | I. 1 N = O bond B. NO2\mathrm{NO_2} | II. 1 N – O – N bond…MediumThe p-Block Elements
  10. Q70Strong reducing and oxidizing agents among the following, respectively, areMediumThe d- and f-Block Elements
  11. Q71The possibility of photochemical smog formation is more atEasyEnvironmental Chemistry
  12. Q72Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: The spin only magnetic moment…MediumCoordination Compounds
  13. Q73Compound P (M.F. C14H13ON\mathrm{C_{14}H_{13}ON}; M.F. = MOLECULAR FORMULA) on treatment with HCl, Δ\Delta gives a Filter step: Residue Q and Filtrate;…HardAmines
  14. Q74Match List I with List II LIST I (Element detected) | LIST II (Reagent used / Product formed) A. Nitrogen | I. Na2[Fe(CN)5NO]\mathrm{Na_2[Fe(CN)_5NO]} B.…MediumOrganic Chemistry: Some Basic Principles and Techniques
  15. Q75For the reaction RCH2Br+I−→AcetoneRCH2Imajor+Br−\mathrm{RCH_2Br + I^-}\xrightarrow{\text{Acetone}}\underset{\text{major}}{\mathrm{RCH_2I}}+\mathrm{Br^-} The correct statement isHardHaloalkanes and Haloarenes
  16. Q76The major product formed in the following reaction is [Reactant: benzene ring bearing ortho CH2CONH2\mathrm{CH_2CONH_2} and COOCH3\mathrm{COOCH_3} groups]…HardAmines
  17. Q77Match List I with List II LIST I (Name of reaction) | LIST II (Reagent used) A. Hell-Volhard-Zelinsky reaction | I. NaOH+I2\mathrm{NaOH + I_2} B.…MediumAldehydes, Ketones and Carboxylic Acids
  18. Q78The major products A and B from the following reactions are: [Reactant: acetanilide, C6H5NHCOCH3\mathrm{C_6H_5NHCOCH_3}; with Br2/AcOH\mathrm{Br_2/AcOH} giving A…MediumAmines
  19. Q79Polymer used in orlon is:EasyPolymers
  20. Q80Match List I with List II LIST I (Vitamin) | LIST II (Deficiency disease) A. Vitamin A | I. Beri-Beri B. Thiamine | II. Cheilosis C. Ascorbic acid |…EasyBiomolecules
  21. Q81If 5 moles of BaCl2\mathrm{BaCl_2} is mixed with 2 moles of Na3PO4\mathrm{Na_3PO_4}, the maximum number of moles of Ba3(PO4)2\mathrm{Ba_3(PO_4)_2} formed is…EasySome Basic Concepts of ChemistryNumerical
  22. Q82The wavelength of an electron of kinetic energy 4.50×10−294.50\times10^{-29} J is ________ ×10−5\times10^{-5} m. (Nearest integer) Given : mass of electron is…EasyStructure of AtomNumerical
  23. Q83The number of species from the following which have square pyramidal structure is ________ PF5,BrF4−,IF5,BrF5,XeOF4,ICl4−\mathrm{PF_5, BrF_4^-, IF_5, BrF_5, XeOF_4, ICl_4^-}MediumChemical Bonding and Molecular StructureNumerical
  24. Q84The value of log K for the reaction A⇌B\mathrm{A \rightleftharpoons B} at 298 K is ________. (Nearest integer) Given: ΔH∘=−54.07\Delta H^\circ = -54.07 kJ…MediumThermodynamics (Chemistry)Numerical
  25. Q85Mass of Urea (NH2CONH2\mathrm{NH_2CONH_2}) required to be dissolved in 1000 g of water in order to reduce the vapour pressure of water by 25% is ________…MediumSolutionsNumerical
  26. Q86Consider the graph of Gibbs free energy G vs Extent of reaction. The number of statement/s from the following which are true with respect to points…MediumThermodynamics (Chemistry)Numerical
  27. Q87For the adsorption of hydrogen on platinum, the activation energy is 30 kJ mol−1^{-1} and for the adsorption of hydrogen on nickel, the activation…MediumSurface ChemistryNumerical
  28. Q88Number of ambidentate ligands in a representative metal complex [ M(en)(SCN)4_4 ] is ________. [en = ethylenediamine]EasyCoordination CompoundsNumerical
  29. Q89Number of bromo derivatives obtained on treating ethane with excess of Br2\mathrm{Br_2} in diffused sunlight is ________HardHydrocarbonsNumerical
  30. Q90In ammonium – phosphomolybdate, the oxidation state of Mo is + ________MediumRedox ReactionsNumerical

Maths Q1–30

  1. Q1Let A={x∈R:[x+3]+[x+4]≤3}A=\{x\in\mathbb{R}:[x+3]+[x+4]\le 3\}, B={x∈R:3x(∑r=1∞310r)x−3<3−3x}B=\left\{x\in\mathbb{R}: 3^x\left(\sum_{r=1}^{\infty}\frac{3}{10^r}\right)^{x-3}<3^{-3x}\right\},…MediumRelations and Functions
  2. Q2The sum of all the roots of the equation ∣x2−8x+15∣−2x+7=0|x^2-8x+15|-2x+7=0 is:MediumComplex Numbers and Quadratic Equations
  3. Q3Let A=[aij]2×2A=[a_{ij}]_{2\times2}, where aij≠0a_{ij}\neq0 for all i, j and A2=IA^2=I. Let aa be the sum of all diagonal elements of AA and b=∣A∣b=|A|. Then…MediumMatrices
  4. Q4If the system of equations x+y+az=bx+y+az=b 2x+5y+2z=62x+5y+2z=6 x+2y+3z=3x+2y+3z=3 has infinitely many solutions, then 2a+3b2a+3b is equal toMediumDeterminants
  5. Q5If 2nC3:nC3=10:1{}^{2n}C_3 : {}^{n}C_3 = 10:1, then the ratio (n2+3n):(n2−3n+4)(n^2+3n):(n^2-3n+4) isEasyBinomial Theorem
  6. Q6If the ratio of the fifth term from the beginning to the fifth term from the end in the expansion of…MediumBinomial Theorem
  7. Q7The sum of the first 20 terms of the series 5+11+19+29+41+…5+11+19+29+41+\ldots isMediumSequences and Series
  8. Q8Let a1,a2,a3,…,ana_1,a_2,a_3,\ldots,a_n be nn positive consecutive terms of an arithmetic progression. If d>0d>0 is its common difference, then…MediumSequences and Series
  9. Q9If 2xy+3yx=202x^y+3y^x=20, then dydx\frac{dy}{dx} at (2,2)(2,2) is equal to:MediumContinuity and Differentiability
  10. Q10Let 5f(x)+4f(1x)=1x+3, x>05f(x)+4f\left(\frac{1}{x}\right)=\frac{1}{x}+3,\ x>0. Then 18∫12f(x) dx18\int_1^2 f(x)\,dx is equal to:MediumIntegrals
  11. Q11Let I(x)=∫x2(xsec⁡2x+tan⁡x)(xtan⁡x+1)2 dxI(x)=\int\frac{x^2(x\sec^2x+\tan x)}{(x\tan x+1)^2}\,dx. If I(0)=0I(0)=0, then I(π4)I\left(\frac{\pi}{4}\right) is equal toHardIntegrals
  12. Q12The straight lines l1l_1 and l2l_2 pass through the origin and trisect the line segment of the line L:9x+5y=45L: 9x+5y=45 between the axes. If m1m_1 and…MediumStraight Lines
  13. Q13If the equation of the plane passing through the line of intersection of the planes 2x−y+z=32x-y+z=3, 4x−3y+5z+9=04x-3y+5z+9=0 and parallel to the line…MediumThree Dimensional Geometry
  14. Q14One vertex of a rectangular parallelopiped is at the origin O and the lengths of its edges along xx, yy and zz axes are 3, 4 and 5 units…MediumThree Dimensional Geometry
  15. Q15Let the position vectors of the points A, B, C and D be 5i^+5j^+2λk^5\hat i+5\hat j+2\lambda\hat k, i^+2j^+3k^\hat i+2\hat j+3\hat k, −2i^+λj^+4k^-2\hat i+\lambda\hat j+4\hat k…MediumVector Algebra
  16. Q16Let a⃗=2i^+3j^+4k^\vec a=2\hat i+3\hat j+4\hat k, b⃗=i^−2j^−2k^\vec b=\hat i-2\hat j-2\hat k and c⃗=−i^+4j^+3k^\vec c=-\hat i+4\hat j+3\hat k. If d⃗\vec d is a vector perpendicular to…MediumVector Algebra
  17. Q17The mean and variance of a set of 15 numbers are 12 and 14 respectively. The mean and variance of another set of 15 numbers are 14 and σ2\sigma^2…MediumStatistics
  18. Q18A pair of dice is thrown 5 times. For each throw, a total of 5 is considered a success. If the probability of at least 4 successes is…MediumProbability
  19. Q19From the top A of a vertical wall AB of height 30 m, the angles of depression of the top P and bottom Q of a vertical tower PQ are 15∘15^\circ and…MediumTrigonometric Functions
  20. Q20Statement (P⇒Q)∧(R⇒Q)(P\Rightarrow Q)\wedge(R\Rightarrow Q) is logically equivalent toEasyMathematical Reasoning
  21. Q21Let A={1,2,3,4,…,10}A=\{1,2,3,4,\ldots,10\} and B={0,1,2,3,4}B=\{0,1,2,3,4\}. The number of elements in the relation R={(a,b)∈A×A:2(a−b)2+3(a−b)∈B}R=\{(a,b)\in A\times A: 2(a-b)^2+3(a-b)\in B\} is…MediumRelations and FunctionsNumerical
  22. Q22Let the point (p,p+1)(p,p+1) lie inside the region E={(x,y):3−x≤y≤9−x2, 0≤x≤3}E=\left\{(x,y):3-x\le y\le\sqrt{9-x^2},\,0\le x\le3\right\}. If the set of all values of pp is the…MediumApplication of IntegralsNumerical
  23. Q23The number of ways of giving 20 distinct oranges to 3 children such that each child gets at least one orange is ____________MediumPermutations and CombinationsNumerical
  24. Q24The coefficient of x18x^{18} in the expansion of (x4−1x3)15\left(x^4-\frac{1}{x^3}\right)^{15} is ____________MediumBinomial TheoremNumerical
  25. Q25Let a∈Za\in\mathbb{Z} and [t][t] be the greatest integer ≤t\le t. Then the number of points, where the function f(x)=[a+13sin⁡x]f(x)=[a+13\sin x], x∈(0,π)x\in(0,\pi) is…HardContinuity and DifferentiabilityNumerical
  26. Q26If the area of the region S={(x,y):2y−y2≤x2≤2y, x≥y}S=\{(x,y):2y-y^2\le x^2\le 2y,\ x\ge y\} is equal to n+2n+1−πn−1\frac{n+2}{n+1}-\frac{\pi}{n-1}, then the natural number nn is…HardApplication of IntegralsNumerical
  27. Q27A circle passing through the point P(α,β)P(\alpha,\beta) in the first quadrant touches the two coordinate axes at the points A and B. The point P is…HardConic SectionsNumerical
  28. Q28Let the tangent to the curve x2+2x−4y+9=0x^2+2x-4y+9=0 at the point P(1,3)P(1,3) on it meet the yy-axis at A. Let the line passing through P and parallel to the…MediumConic SectionsNumerical
  29. Q29Let y=y(x)y=y(x) be a solution of the differential equation (xcos⁡x) dy+(xysin⁡x+ycos⁡x−1) dx=0, 0<x<π2(x\cos x)\,dy+(xy\sin x+y\cos x-1)\,dx=0,\ 0<x<\frac{\pi}{2}. If…HardDifferential EquationsNumerical
  30. Q30Let the image of the point (1,2,3)(1,2,3) in the plane 2x−y+z=92x-y+z=9 be Q. If the coordinates of the point R are (6,10,7)(6,10,7), then the square of the area of…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 2023 shifts.