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Friday, 9 October

JEE Main 2023 · April session

JEE Main 8 April 2023, Shift 2

89 questions (1 more dropped by NTA): 30 numerical-answer and 59 multiple choice. 14 were rated hard and 37 easy. By hard questions it ranks 1st of the 4 2023 shifts Lumi analysed. The biggest chapter was Conic Sections, with 3 questions.

Questions
89
1 dropped by NTA
Numerical answer
30
34% of the shift
Hard
14
16% of the shift
Chapters asked
69
10 questions with a figure

The shift at a glance

Subjects, difficulty and chapters

Physics
30 Q · 10 numerical
Easy 20Medium 9Hard 1

Top chapters

Chemistry
30 Q · 10 numerical
Easy 15Medium 15Hard 0

Top chapters

Maths
29 Q · 10 numerical
Easy 2Medium 14Hard 13

Top chapters

Question format
  • Single correct42 Q
  • Numerical value30 Q
  • Other5 Q
  • Diagram based4 Q
  • Match the list3 Q
  • Two statements3 Q
  • Assertion–reason2 Q
What each question asks you to do
  • Multi-step27 Q
  • Calculation26 Q
  • Application13 Q
  • Recall12 Q
  • Conceptual9 Q
  • Diagram reading1 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. Q31Match List I with List II LIST I: A. Torque; B. Stress; C. Pressure gradient; D. Coefficient of viscosity LIST II: I. ML−2T−2\mathrm{ML^{-2}T^{-2}}; II.…EasyUnits and Measurements
  2. Q32For particle PP revolving round the centre OO with radius of circular path rr and angular velocity ω\omega, as shown in below figure, the…MediumOscillations
  3. Q33The temperature at which the kinetic energy of oxygen molecules becomes double than its value at 27∘27^\circC isEasyKinetic Theory
  4. Q34Work done by a Carnot engine operating between temperatures 127∘127^\circC and 27∘27^\circC is 2 kJ. The amount of heat transferred to the engine by…EasyThermodynamics
  5. Q35A hydraulic automobile lift is designed to lift vehicles of mass 5000 kg. The area of cross section of the cylinder carrying the load is 250 cm2^2.…EasyMechanical Properties of Fluids
  6. Q36The acceleration due to gravity at height hh above the earth if h≪Rh \ll R (Radius of earth) is given byEasyGravitation
  7. Q37The orbital angular momentum of a satellite is L, when it is revolving in a circular orbit at height h from earth surface. If the distance of…MediumGravitation
  8. Q38Given below are two statements: Statement I : Area under velocity- time graph gives the distance travelled by the body in a given time. Statement II…EasyMotion in a Straight Line
  9. Q39The trajectory of projectile, projected from the ground is given by y=x−x220y = x - \frac{x^2}{20}. Where xx and yy are measured in meter. The maximum…MediumMotion in a Plane
  10. Q40A bullet of mass 0.1 kg moving horizontally with speed 400 ms−1^{-1} hits a wooden block of mass 3.9 kg kept on a horizontal rough surface. The…MediumWork, Energy and Power
  11. Q41Electric potential at a point 'P' due to a point charge of 5×10−95\times10^{-9} C is 50 V. The distance of 'P' from the point charge is: (Assume,…EasyElectrostatic Potential and Capacitance
  12. Q42The power radiated from a linear antenna of length ll is proportional to (Given, λ\lambda = Wavelength of wave):HardElectromagnetic Waves
  13. Q43For a given transistor amplifier circuit in CE configuration VCC=1V_{CC} = 1 V, RC=1R_C = 1 kΩ\Omega, Rb=100R_b = 100 kΩ\Omega and β=100\beta = 100. Value of…EasySemiconductor Electronics: Materials, Devices and Simple Circuits
  14. Q44A radio active material is reduced to 1/8 of its original amount in 3 days. If 8×10−38\times10^{-3} kg of the material is left after 5 days the initial…MediumNuclei
  15. Q45In photo electric effect A. The photocurrent is proportional to the intensity of the incident radiation. B. Maximum Kinetic energy with which…EasyDual Nature of Radiation and Matter
  16. Q46The width of fringe is 2 mm on the screen in a double slits experiment for the light of wavelength of 400 nm. The width of the fringe for the light…EasyWave Optics
  17. Q47The waves emitted when a metal target is bombarded with high energy electrons areEasyElectromagnetic Waves
  18. Q48An emf of 0.08 V is induced in a metal rod of length 10 cm held normal to a uniform magnetic field of 0.4 T, when moves with a velocity of:EasyElectromagnetic Induction
  19. Q49Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A : Electromagnets are made of soft…EasyMagnetism and Matter
  20. Q50The equivalent resistance between A and B as shown in figure is:EasyCurrent Electricity
  21. Q51A guitar string of length 90 cm vibrates with a fundamental frequency of 120 Hz. The length of the string producing a fundamental frequency of 180…EasyWavesNumerical
  22. Q52A steel rod of length 1 m and cross sectional area 10−410^{-4} m2^2 is heated from 0∘0^\circC to 200∘200^\circC without being allowed to extend or…EasyThermal Properties of MatterNumerical
  23. Q53A hollow spherical ball of uniform density rolls up a curved surface with an initial velocity 3 m/s (as shown in figure). Maximum height with…MediumSystem of Particles and Rotational MotionNumerical
  24. Q54A body of mass 5 kg is moving with a momentum of 10 kg ms−1^{-1}. Now a force of 2 N acts on the body in the direction of its motion for 5 s. The…EasyWork, Energy and PowerNumerical
  25. Q55A 600 pF capacitor is charged by 200 V supply. It is then disconnected from the supply and is connected to another uncharged 600 pF capacitor.…MediumElectrostatic Potential and CapacitanceNumerical
  26. Q56The ratio of wavelength of spectral lines Hα\mathrm{H}_\alpha and Hβ\mathrm{H}_\beta in the Balmer series is x20\frac{x}{20}. The value of xx is…EasyAtomsNumerical
  27. Q57Two transparent media having refractive indices 1.0 and 1.5 are separated by a spherical refracting surface of radius of curvature 30 cm. The centre…MediumRay Optics and Optical InstrumentsNumerical
  28. Q58A series combination of resistor of resistance 100 Ω\Omega, inductor of inductance 1 H and capacitor of capacitance 6.25 μ\muF is connected to an…EasyAlternating CurrentNumerical
  29. Q59The ratio of magnetic field at the centre of a current carrying coil of radius rr to the magnetic field at distance rr from the centre of coil on…MediumMoving Charges and MagnetismNumerical
  30. Q60The number density of free electrons in copper is nearly 8×10288 \times 10^{28} m−3^{-3}. A copper wire has its area of cross section =…EasyCurrent ElectricityNumerical

Chemistry Q61–90

  1. Q61Which of the following have same number of significant figures? A. 0.00253 B. 1.0003 C. 15.0 D. 163 Choose the correct answer from the options given…EasySome Basic Concepts of Chemistry
  2. Q62Arrange the following gases in increasing order of van der Waals constant 'a' A. Ar B. CH4\mathrm{CH_4} C. H2O\mathrm{H_2O} D. C6H6\mathrm{C_6H_6}…EasyStates of Matter
  3. Q63The correct reaction profile diagram for a positive catalyst reaction.EasyChemical Kinetics
  4. Q64Henry Moseley studied characteristic X-ray spectra of elements. The graph which represents his observation correctly is Given ν\nu = frequency of…EasyStructure of Atom
  5. Q65In Hall - Heroult process, the following is used for reducing Al2O3\mathrm{Al_2O_3} :-EasyGeneral Principles and Processes of Isolation of Elements
  6. Q66Which of the following can reduce decomposition of H2O2\mathrm{H_2O_2} on exposure to lightMediumHydrogen
  7. Q67Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R Assertion A : Sodium is about 30 times as…MediumThe s-Block Elements
  8. Q68For a good quality cement, the ratio of lime to the total of the oxides of Si, Al and Fe should be as close as toMediumThe p-Block Elements
  9. Q69Match List I with List II LIST I (Coordination Complex): A. [Cr(CN)6]3−[\mathrm{Cr(CN)_6}]^{3-}; B. [Fe(H2O)6]2+[\mathrm{Fe(H_2O)_6}]^{2+}; C.…MediumCoordination Compounds
  10. Q70Which of these reactions is not a part of breakdown of ozone in stratosphere?MediumEnvironmental Chemistry
  11. Q71Major product 'P' formed in the following reaction is: [reaction: CH2=CH−CH2−CH2−COOH\mathrm{CH_2{=}CH{-}CH_2{-}CH_2{-}COOH} (pent-4-enoic acid, drawn as skeletal…MediumHaloalkanes and Haloarenes
  12. Q72The correct IUPAC nomenclature for the following compound is: [structure: CH3−CO−CH2−CH2−CH(COOH)−CH3\mathrm{CH_3{-}CO{-}CH_2{-}CH_2{-}CH(COOH){-}CH_3}]EasyOrganic Chemistry: Some Basic Principles and Techniques
  13. Q73The correct order of reactivity of following haloarenes towards nucleophilic substitution with aqueous NaOH is : A. [chlorobenzene] B.…MediumHaloalkanes and Haloarenes
  14. Q74The descending order of acidity for the following carboxylic acid is- A. CH3COOH\mathrm{CH_3COOH} B. F3C−COOH\mathrm{F_3C{-}COOH} C. ClCH2−COOH\mathrm{ClCH_2{-}COOH}…EasyAldehydes, Ketones and Carboxylic Acids
  15. Q75A compound 'X' when treated with phthalic anhydride in presence of concentrated H2SO4\mathrm{H_2SO_4} yields 'Y'. 'Y' is used as an acid/base…EasyAlcohols, Phenols and Ethers
  16. Q76The product (P) formed from the following multistep reaction is: [reaction: 4-nitrotoluene (benzene ring with NO2\mathrm{NO_2} and CH3\mathrm{CH_3}…MediumAmines
  17. Q77The statement/s which are true about antagonists from the following is/are: A. They bind to the receptor site. B. Get transferred inside the cell…EasyChemistry in Everyday Life
  18. Q78Match List I with List II LIST I (Natural amino acid): A. Glutamic acid; B. Glutamine; C. Tyrosine; D. Tryptophan LIST II (One letter code): I. Q;…EasyBiomolecules
  19. Q79Given below are two statements: Statement I : Methyl orange is a weak acid. Statement II : The benzenoid form of methyl orange is more…MediumEquilibrium
  20. Q80Given below are two statements: Statement I : In redox titration, the indicators used are sensitive to change in pH of the solution. Statement II :…EasyRedox Reactions
  21. Q81The number of atomic orbitals from the following having 5 radial nodes is ____________. 7s, 7p, 6s, 8p, 8dEasyStructure of AtomNumerical
  22. Q82The number of species from the following carrying a single lone pair on central atom Xenon is ____________. XeF5+\mathrm{XeF_5^+}, XeO3\mathrm{XeO_3},…MediumChemical Bonding and Molecular StructureNumerical
  23. Q83For complete combustion of ethene, C2H4(g)+3O2(g)→2CO2(g)+2H2O(l)\mathrm{C_2H_4(g) + 3O_2(g) \rightarrow 2CO_2(g) + 2H_2O(l)} the amount of heat produced as measured in bomb…MediumThermodynamics (Chemistry)Numerical
  24. Q84If the boiling points of two solvents X and Y (having same molecular weights) are in the ratio 2:1 and their enthalpy of vaporizations are in the…MediumSolutionsNumerical
  25. Q85The solubility product of BaSO4\mathrm{BaSO_4} is 1×10−101\times10^{-10} at 298K. The solubility of BaSO4\mathrm{BaSO_4} in 0.1 M K2SO4\mathrm{K_2SO_4} (aq)…EasyEquilibriumNumerical
  26. Q86The number of incorrect statements from the following is ____________ A. The electrical work that a reaction can perform at constant pressure and…MediumElectrochemistryNumerical
  27. Q87Coagulating value of the electrolytes AlCl3\mathrm{AlCl_3} and NaCl for As2S3\mathrm{As_2S_3} are 0.09 and 50.04 respectively. The coagulating power of…EasySurface ChemistryNumerical
  28. Q88The ratio of sigma and π\pi bonds present in pyrophosphoric acid is ____________.MediumThe p-Block ElementsNumerical
  29. Q89The sum of oxidation state of the metals in Fe(CO)5\mathrm{Fe(CO)_5}, VO2+\mathrm{VO^{2+}} and WO3\mathrm{WO_3} is ____________.EasyThe d- and f-Block ElementsNumerical
  30. Q90The observed magnetic moment of the complex [Mn(NCS)6]x−[\mathrm{Mn(NCS)_6}]^{x-} is 6.06 BM. The numerical value of xx is ____________.MediumCoordination CompoundsNumerical

Maths Q1–30

  1. Q1Let A={1,2,3,4,5,6,7}A = \{1, 2, 3, 4, 5, 6, 7\}. Then the relation R={(x,y)∈A×A:x+y=7}R = \{(x, y) \in A \times A : x + y = 7\} isEasyRelations and Functions
  2. Q2Let A={θ∈(0,2π):1+2isin⁡θ1−isin⁡θ is purely imaginary}A = \left\{\theta \in (0, 2\pi) : \frac{1 + 2i\sin\theta}{1 - i\sin\theta} \text{ is purely imaginary}\right\}. Then the sum of the elements…MediumComplex Numbers and Quadratic Equations
  3. Q3Let S be the set of all values of θ∈[−π,π]\theta \in [-\pi, \pi] for which the system of linear equations x+y+3z=0x + y + \sqrt{3}z = 0…MediumDeterminants
  4. Q4If A=[15λ10]A = \begin{bmatrix} 1 & 5 \\ \lambda & 10 \end{bmatrix}, A−1=αA+βIA^{-1} = \alpha A + \beta I and α+β=−2\alpha + \beta = -2, then…MediumMatrices
  5. Q5If the number of words, with or without meaning, which can be made using all the letters of the word MATHEMATICS in which C and S do not come…MediumPermutations and Combinations
  6. Q625190−19190−8190+219025^{190} - 19^{190} - 8^{190} + 2^{190} is divisible byMediumBinomial Theorem
  7. Q7The absolute difference of the coefficients of x10x^{10} and x7x^7 in the expansion of (2x2+12x)11\left(2x^2 + \frac{1}{2x}\right)^{11} is equal toMediumBinomial Theorem
  8. Q8Let ana_n be the nthn^{th} term of the series 5+8+14+23+35+50+…5 + 8 + 14 + 23 + 35 + 50 + \ldots and Sn=∑k=1nakS_n = \sum_{k=1}^{n} a_k. Then S30−a40S_{30} - a_{40} is equal toMediumSequences and Series
  9. Q9If α>β>0\alpha > \beta > 0 are the roots of the equation ax2+bx+1=0ax^2 + bx + 1 = 0, and…HardLimits and Derivatives
  10. Q10The integral ∫((x2)x+(2x)x)log⁡2x dx\int \left(\left(\frac{x}{2}\right)^x + \left(\frac{2}{x}\right)^x\right)\log_2 x \, dx is equal toHardIntegralsDropped
  11. Q11Let OO be the origin and OPOP and OQOQ be the tangents to the circle x2+y2−6x+4y+8=0x^2 + y^2 - 6x + 4y + 8 = 0 at the points PP and QQ on it. If the…MediumConic Sections
  12. Q12Let A(0,1)A(0, 1), B(1,1)B(1, 1) and C(1,0)C(1, 0) be the mid-points of the sides of a triangle with incentre at the point DD. If the focus of the parabola…HardConic Sections
  13. Q13Let PP be the plane passing through the line x−11=y−2−3=z+57\frac{x-1}{1} = \frac{y-2}{-3} = \frac{z+5}{7} and the point (2,4,−3)(2, 4, -3). If the image of the point…MediumThree Dimensional Geometry
  14. Q14For a,b∈Za, b \in \mathbb{Z} and ∣a−b∣≤10|a - b| \leq 10, let the angle between the plane P:ax+y−z=bP: ax + y - z = b and the line l:x−1=a−y=z+1l: x - 1 = a - y = z + 1 be…HardThree Dimensional Geometry
  15. Q15The area of the quadrilateral ABCDABCD with vertices A(2,1,1)A(2, 1, 1), B(1,2,5)B(1, 2, 5), C(−2,−3,5)C(-2, -3, 5) and D(1,−6,−7)D(1, -6, -7) is equal toMediumVector Algebra
  16. Q16Let the vectors u⃗1=i^+j^+ak^\vec{u}_1 = \hat{i} + \hat{j} + a\hat{k}, u⃗2=i^+bj^+k^\vec{u}_2 = \hat{i} + b\hat{j} + \hat{k} and…HardVector Algebra
  17. Q17If the probability that the random variable XX takes values xx is given by P(X=x)=k(x+1)3−xP(X = x) = k(x + 1)3^{-x}, x=0,1,2,3,…x = 0, 1, 2, 3, \ldots, where kk is a…MediumProbability
  18. Q18Let the mean and variance of 12 observations be 92\frac{9}{2} and 44 respectively. Later on, it was observed that two observations were considered…MediumStatistics
  19. Q19The value of 36(4cos⁡29∘−1)(4cos⁡227∘−1)(4cos⁡281∘−1)(4cos⁡2243∘−1)36(4\cos^2 9^\circ - 1)(4\cos^2 27^\circ - 1)(4\cos^2 81^\circ - 1)(4\cos^2 243^\circ - 1) isHardTrigonometric Functions
  20. Q20The negation of (p∧(∼q))∨(∼p)(p \wedge (\sim q)) \vee (\sim p) is equivalent toEasyMathematical Reasoning
  21. Q21If domain of the function log⁡e(6x2+5x+12x−1)+cos⁡−1(2x2−3x+43x−5)\log_e\left(\frac{6x^2 + 5x + 1}{2x - 1}\right) + \cos^{-1}\left(\frac{2x^2 - 3x + 4}{3x - 5}\right) is…HardRelations and FunctionsNumerical
  22. Q22Let mm and nn be the numbers of real roots of the quadratic equations x2−12x+[x]+31=0x^2 - 12x + [x] + 31 = 0 and x2−5∣x+2∣−4=0x^2 - 5|x + 2| - 4 = 0 respectively, where…HardComplex Numbers and Quadratic EquationsNumerical
  23. Q23Let R={a,b,c,d,e}R = \{a, b, c, d, e\} and S={1,2,3,4}S = \{1, 2, 3, 4\}. Total number of onto functions f:R→Sf: R \to S such that f(a)≠1f(a) \neq 1, is equal to ____________.HardRelations and FunctionsNumerical
  24. Q24Let 0<z<y<x0 < z < y < x be three real numbers such that 1x,1y,1z\frac{1}{x}, \frac{1}{y}, \frac{1}{z} are in an arithmetic progression and x,2y,zx, \sqrt{2}y, z…HardSequences and SeriesNumerical
  25. Q25Let kk and mm be positive real numbers such that the function…MediumContinuity and DifferentiabilityNumerical
  26. Q26Let [t][t] denote the greatest integer function. If ∫02.4[x2] dx=α+β2+γ3+δ5\int_0^{2.4}[x^2]\,dx = \alpha + \beta\sqrt{2} + \gamma\sqrt{3} + \delta\sqrt{5}, then…MediumIntegralsNumerical
  27. Q27Let the area enclosed by the lines x+y=2x + y = 2, y=0y = 0, x=0x = 0 and the curve f(x)=min⁡{x2+34,1+[x]}f(x) = \min\left\{x^2 + \frac{3}{4}, 1 + [x]\right\} where [x][x]…HardApplication of IntegralsNumerical
  28. Q28Let the solution curve x=x(y)x = x(y), 0<y<π20 < y < \frac{\pi}{2}, of the differential equation…HardDifferential EquationsNumerical
  29. Q29The ordinates of the points PP and QQ on the parabola with focus (3,0)(3, 0) and directrix x=−3x = -3 are in the ratio 3:13:1. If R(α,β)R(\alpha, \beta) is…HardConic SectionsNumerical
  30. Q30Let P1P_1 be the plane 3x−y−7z=113x - y - 7z = 11 and P2P_2 be the plane passing through the points (2,−1,0)(2, -1, 0), (2,0,−1)(2, 0, -1), and (5,1,1)(5, 1, 1). If the foot…HardThree 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.