Learn

Friday, 9 October

JEE Main 2023 · April session

JEE Main 11 April 2023, Shift 1

90 questions: 30 numerical-answer and 60 multiple choice. 14 were rated hard and 31 easy. By hard questions it ranks 1st of the 4 2023 shifts Lumi analysed. The biggest chapter was Coordination Compounds, with 4 questions.

Questions
90
none dropped
Numerical answer
30
33% of the shift
Hard
14
16% of the shift
Chapters asked
69
15 questions with a figure

The shift at a glance

Subjects, difficulty and chapters

Physics
30 Q · 10 numerical
Easy 18Medium 12Hard 0

Top chapters

Chemistry
30 Q · 10 numerical
Easy 10Medium 15Hard 5

Top chapters

Maths
30 Q · 10 numerical
Easy 3Medium 18Hard 9

Top chapters

Question format
  • Single correct42 Q
  • Numerical value30 Q
  • Diagram based10 Q
  • Two statements5 Q
  • Match the list2 Q
  • Assertion–reason1 Q
What each question asks you to do
  • Multi-step30 Q
  • Calculation23 Q
  • Application14 Q
  • Recall9 Q
  • Conceptual8 Q
  • Data or graph5 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. Q31A transmitting antenna is kept on the surface of the earth. The minimum height of receiving antenna required to receive the signal in line of sight…EasyCommunication Systems
  2. Q32The logic performed by the circuit shown in figure is equivalent to :EasySemiconductor Electronics: Materials, Devices and Simple Circuits
  3. Q33Two radioactive elements A and B initially have same number of atoms. The half life of A is same as the average life of B. If λA\lambda_A and…EasyNuclei
  4. Q34A metallic surface is illuminated with radiation of wavelength λ\lambda, the stopping potential is V0V_0. If the same surface is illuminated with…MediumDual Nature of Radiation and Matter
  5. Q35The critical angle for a denser-rarer interface is 45∘45^\circ. The speed of light in rarer medium is 3×1083 \times 10^8 m/s. The speed of light in the…EasyRay Optics and Optical Instruments
  6. Q36As per the given graph, choose the correct representation for curve A and curve B. {Where XCX_C = reactance of pure capacitive circuit connected…EasyAlternating Current
  7. Q37The electric field in an electromagnetic wave is given as E⃗=20sin⁡ω(t−xc)j^ NC−1\vec{E} = 20\sin\omega\left(t - \frac{x}{c}\right)\hat{j}\ \mathrm{NC^{-1}} where…MediumElectromagnetic Waves
  8. Q38The free space inside a current carrying toroid is filled with a material of susceptibility 2×10−22 \times 10^{-2}. The percentage increase in the value…EasyMagnetism and Matter
  9. Q39The current sensitivity of moving coil galvanometer is increased by 25%. This increase is achieved only by changing in the number of turns of coils…MediumMoving Charges and Magnetism
  10. Q40Two identical heater filaments are connected first in parallel and then in series. At the same applied voltage, the ratio of heat produced in same…EasyCurrent Electricity
  11. Q41A parallel plate capacitor of capacitance 2 F is charged to a potential V, The energy stored in the capacitor is E1E_1. The capacitor is now…EasyElectrostatic Potential and Capacitance
  12. Q42The variation of kinetic energy (KE) of a particle executing simple harmonic motion with the displacement (xx) starting from mean position to…EasyOscillations
  13. Q43Three vessels of equal volume contain gases at the same temperature and pressure. The first vessel contains neon (monoatomic), the second contains…EasyKinetic Theory
  14. Q441 kg of water at 100∘100^\circC is converted into steam at 100∘100^\circC by boiling at atmospheric pressure. The volume of water changes from…MediumThermodynamics
  15. Q45On a temperature scale 'X', the boiling point of water is 65∘65^\circX and the freezing point is −15∘-15^\circX. Assume that the X scale is linear. The…EasyThermal Properties of Matter
  16. Q46The radii of two planets 'A' and 'B' are 'R' and '4R' and their densities are ρ\rho and ρ/3\rho/3 respectively. The ratio of acceleration due to…EasyGravitation
  17. Q47From the vv - tt graph shown, the ratio of distance to displacement in 25 s of motion is:MediumMotion in a Straight Line
  18. Q48A coin placed on a rotating table just slips when it is placed at a distance of 1 cm from the center. If the angular velocity of the table in…EasyLaws of Motion
  19. Q49An average force of 125 N is applied on a machine gun firing bullets each of mass 10 g at the speed of 250 m/s to keep it in position. The number of…EasyLaws of Motion
  20. Q50Given below are two statements : Statements I : Astronomical unit (Au), Parsec (Pc) and Light year (ly) are units for measuring astronomical…EasyUnits and Measurements
  21. Q51A monochromatic light is incident on a hydrogen sample in ground state. Hydrogen atoms absorb a fraction of light and subsequently emit radiation of…MediumAtomsNumerical
  22. Q52The radius of curvature of each surface of a convex lens having refractive index 1.8 is 20 cm. The lens is now immersed in a liquid of refractive…MediumRay Optics and Optical InstrumentsNumerical
  23. Q53The magnetic field B crossing normally a square metallic plate of area 4 m2^2 is changing with time as shown in figure. The magnitude of induced…EasyElectromagnetic InductionNumerical
  24. Q54In the circuit diagram shown in figure given below, the current flowing through resistance 3 Ω3\ \Omega is x3\frac{x}{3} A. The value of xx is…MediumCurrent ElectricityNumerical
  25. Q55As shown in the figure, a configuration of two equal point charges (q0=+2μq_0 = +2\mu C) is placed on an inclined plane. Mass of each point charge is 20…MediumElectric Charges and FieldsNumerical
  26. Q56The equation of wave is given by Y=10−2sin⁡2π(160t−0.5x+π/4)Y = 10^{-2}\sin 2\pi(160t - 0.5x + \pi/4) where xx and YY are in m and tt in s. The speed of the wave is…EasyWavesNumerical
  27. Q57The length of a wire becomes l1l_1 and l2l_2 when 100 N and 120 N tensions are applied respectively. If 10 l2=11 l110\,l_2 = 11\,l_1, the natural length of…MediumMechanical Properties of SolidsNumerical
  28. Q58A solid sphere of mass 500 g and radius 5 cm is rotated about one of its diameter with angular speed of 10 rad s−1^{-1}. If the moment of inertia of…MediumSystem of Particles and Rotational MotionNumerical
  29. Q59A force F⃗=(2+3x)i^\vec{F} = (2 + 3x)\hat{i} acts on a particle in the xx direction where F is in newton and xx is in meter. The work done by this force…EasyWork, Energy and PowerNumerical
  30. Q60A projectile fired at 30∘30^\circ to the ground is observed to be at same height at time 3s and 5s after projection, during its flight. The speed of…MediumMotion in a PlaneNumerical

Chemistry Q61–90

  1. Q61Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R : Assertion A : In the photoelectric effect,…MediumStructure of Atom
  2. Q62Match List-I with List-II : List-I Species | List-II Geometry/Shape A. H3O+\mathrm{H_3O^+} | I. Tetrahedral B. Acetylide anion | II. Linear C.…EasyChemical Bonding and Molecular Structure
  3. Q6325 mL of silver nitrate solution (1M) is added dropwise to 25 mL of potassium iodide (1.05 M) solution. The ion(s) present in very small quantity in…MediumEquilibrium
  4. Q64For elements B, C, N, Li, Be, O and F, the correct order of first ionization enthalpy isEasyClassification of Elements and Periodicity in Properties
  5. Q65In the extraction process of copper, the product obtained after carrying out the reactions (i) 2Cu2S+3O2→2Cu2O+2SO2\mathrm{2Cu_2S + 3O_2 \rightarrow 2Cu_2O + 2SO_2}…EasyGeneral Principles and Processes of Isolation of Elements
  6. Q66Given below are two statements: Statement-I : Methane and steam passed over a heated Ni catalyst produces hydrogen gas. Statement-II : Sodium…EasyHydrogen
  7. Q67Match List-I with List-II: List-I | List-II A. K | I. Thermonuclear reactions B. KCl | II. Fertilizer C. KOH | III. Sodium potassium pump D. Li |…MediumThe s-Block Elements
  8. Q68For compound having the formula GaAlCl4\mathrm{GaAlCl_4}, the correct option from the following isMediumThe p-Block Elements
  9. Q69Which of the following complex has a possibility to exist as meridional isomer?EasyCoordination Compounds
  10. Q70The set which does not have ambidentate ligand(s) isEasyCoordination Compounds
  11. Q71Given below are two statements: Statement I: If BOD is 4 ppm and dissolved oxygen is 8 ppm, then it is a good quality water. Statement II: If the…MediumEnvironmental Chemistry
  12. Q72Thin layer chromatography of a mixture shows the following observation: The correct order of elution in the silica gel column chromatography isMediumOrganic Chemistry: Some Basic Principles and Techniques
  13. Q73Arrange the following compounds in increasing order of rate of aromatic electrophilic substitution reaction (a) 1-tetralol: tetralin with OH on the…HardHaloalkanes and Haloarenes
  14. Q74[figure: Reaction (I): 4-methoxybenzyl chloride (MeO−C6H4−CH2Cl\mathrm{MeO{-}C_6H_4{-}CH_2Cl}) + Nu gives 4-methoxybenzyl-Nu. Reaction (II): 4-nitrobenzyl…MediumHaloalkanes and Haloarenes
  15. Q75[figure: 2-alkylcyclohexanone (R on the ring carbon adjacent to C=O, R = alkyl)] →KMnO4\xrightarrow{\mathrm{KMnO_4}} 'A' (Major Product)…HardAldehydes, Ketones and Carboxylic Acids
  16. Q76The complex that dissolves in water isHardCoordination Compounds
  17. Q77o-Phenylenediamine →HNO2\xrightarrow{\mathrm{HNO_2}} 'X' (Major Product) 'X' isMediumAmines
  18. Q78The polymer X - consists of linear molecules and is closely packed. It is prepared in the presence of triethylaluminium and titanium tetrachloride…EasyPolymers
  19. Q79L-isomer of tetrose X (C4H8O4\mathrm{C_4H_8O_4}) gives positive Schiff's test and has two chiral carbons. On acetylation, 'X' yields triacetate. 'X'…HardBiomolecules
  20. Q80When a solution of mixture having two inorganic salts was treated with freshly prepared ferrous sulphate in acidic medium, a dark brown ring was…EasyPractical Chemistry (Qualitative Analysis)
  21. Q81A solution of sugar is obtained by mixing 200g of its 25% solution and 500g of its 40% solution (both by mass). The mass percentage of the resulting…EasySolutionsNumerical
  22. Q82An atomic substance A of molar mass 12 g mol−112\ \mathrm{g\ mol^{-1}} has a cubic crystal structure with edge length of 300 pm. The no. of atoms present in…MediumThe Solid StateNumerical
  23. Q83Solid fuel used in rocket is a mixture of Fe2O3\mathrm{Fe_2O_3} and Al (in ratio 1:2). The heat evolved (kJ) per gram of the mixture is __________…MediumThermodynamics (Chemistry)Numerical
  24. Q840.004 M K2SO4\mathrm{K_2SO_4} solution is isotonic with 0.01 M glucose solution. Percentage dissociation of K2SO4\mathrm{K_2SO_4} is ____________ (Nearest…MediumSolutionsNumerical
  25. Q85A mixture of 1 mole of H2O\mathrm{H_2O} and 1 mole of CO is taken in a 10 litre container and heated to 725 K. At equilibrium 40% of water by mass…MediumEquilibriumNumerical
  26. Q86In an electrochemical reaction of lead, at standard temperature, if E∘(Pb2+/Pb)=m\mathrm{E^{\circ}(Pb^{2+}/Pb)} = m Volt and…MediumElectrochemistryNumerical
  27. Q87KClO3+6FeSO4+3H2SO4→KCl+3Fe2(SO4)3+3H2O\mathrm{KClO_3 + 6FeSO_4 + 3H_2SO_4 \rightarrow KCl + 3Fe_2(SO_4)_3 + 3H_2O} The above reaction was studied at 300 K by monitoring the…MediumChemical KineticsNumerical
  28. Q88The ratio of spin-only magnetic moment values μeff [Cr(CN)6]3−/μeff [Cr(H2O)6]3+\mu_{\mathrm{eff}}\,\mathrm{[Cr(CN)_6]^{3-}} / \mu_{\mathrm{eff}}\,\mathrm{[Cr(H_2O)_6]^{3+}} is…EasyCoordination CompoundsNumerical
  29. Q89[figure: bicyclic (hydrindane-type) skeleton: cyclohexane fused to cyclopentane; Me at the ring-fusion carbon, adjacent cyclopentane carbon bearing…HardHaloalkanes and HaloarenesNumerical
  30. Q90[figure: 4-hydroxybutanal, OHC−CH2CH2CH2−OH\mathrm{OHC{-}CH_2CH_2CH_2{-}OH} (y mole)] →H3O+x mol of MeMgBr\xrightarrow[\mathrm{H_3O^+}]{x\ \text{mol of MeMgBr}} [figure:…MediumAlcohols, Phenols and EthersNumerical

Maths Q1–30

  1. Q1An organization awarded 48 medals in event 'A', 25 in event 'B' and 18 in event 'C'. If these medals went to total 60 men and only five men got…EasyRelations and Functions
  2. Q2Let (α,β,γ)(\alpha, \beta, \gamma) be the image of the point P(2,3,5)P(2, 3, 5) in the plane 2x+y−3z=62x + y - 3z = 6. Then α+β+γ\alpha + \beta + \gamma is equal toMediumThree Dimensional Geometry
  3. Q3Consider ellipses Ek:kx2+k2y2=1, k=1,2,…,20E_k : kx^2 + k^2y^2 = 1,\ k = 1, 2, \ldots, 20. Let CkC_k be the circle which touches the four chords joining the end points…HardConic Sections
  4. Q4The number of triplets (x,y,z)(x, y, z), where x,y,zx, y, z are distinct non negative integers satisfying x+y+z=15x + y + z = 15, isMediumPermutations and Combinations
  5. Q5The number of integral solutions xx of log⁡(x+72)(x−72x−3)2≥0\log_{\left(x+\frac{7}{2}\right)}\left(\frac{x-7}{2x-3}\right)^2 \ge 0 isHardSequences and Series
  6. Q6Let AA be a 2×22 \times 2 matrix with real entries such that A′=αA+IA' = \alpha A + I, where α∈R−{−1,1}\alpha \in \mathbb{R} - \{-1, 1\}. If det⁡(A2−A)=4\det(A^2 - A) = 4,…MediumMatrices
  7. Q7Let f(x)=[x2−x]+∣−x+[x]∣f(x) = [x^2 - x] + |-x + [x]|, where x∈Rx \in \mathbb{R} and [t][t] denotes the greatest integer less than or equal to tt. Then, ff isMediumContinuity and Differentiability
  8. Q8If equation of the plane that contains the point (−2,3,5)(-2, 3, 5) and is perpendicular to each of the planes 2x+4y+5z=82x + 4y + 5z = 8 and 3x−2y+3z=53x - 2y + 3z = 5…MediumThree Dimensional Geometry
  9. Q9Area of the region {(x,y):x2+(y−2)2≤4, x2≥2y}\{(x,y) : x^2 + (y-2)^2 \le 4,\ x^2 \ge 2y\} isMediumApplication of Integrals
  10. Q10Let f:[2,4]→Rf : [2, 4] \to \mathbb{R} be a differentiable function such that (xlog⁡ex)f′(x)+(log⁡ex)f(x)+f(x)≥1, x∈[2,4](x \log_e x) f'(x) + (\log_e x) f(x) + f(x) \ge 1,\ x \in [2, 4] with…HardApplication of Derivatives
  11. Q11Let a⃗\vec{a} be a non-zero vector parallel to the line of intersection of the two planes described by i^+j^, i^+k^\hat{i}+\hat{j},\ \hat{i}+\hat{k} and…HardVector Algebra
  12. Q12For any vector a⃗=a1i^+a2j^+a3k^\vec{a} = a_1\hat{i} + a_2\hat{j} + a_3\hat{k}, with 10∣ai∣<1, i=1,2,310|a_i| < 1,\ i = 1, 2, 3, consider the following statements : (A) :…MediumVector Algebra
  13. Q13Let x1,x2,…,x100x_1, x_2, \ldots, x_{100} be in an arithmetic progression, with x1=2x_1 = 2 and their mean equal to 200. If…MediumStatistics
  14. Q14Let w1w_1 be the point obtained by the rotation of z1=5+4iz_1 = 5 + 4i about the origin through a right angle in the anticlockwise direction, and w2w_2…MediumComplex Numbers and Quadratic Equations
  15. Q15The value of the integral ∫−log⁡e2log⁡e2ex(log⁡e(ex+1+e2x))dx\int_{-\log_e 2}^{\log_e 2} e^x\left(\log_e\left(e^x + \sqrt{1+e^{2x}}\right)\right)dx is equal toHardIntegrals
  16. Q16The number of elements in the set S={θ∈[0,2π]:3cos⁡4θ−5cos⁡2θ−2sin⁡6θ+2=0}S = \{\theta \in [0, 2\pi] : 3\cos^4\theta - 5\cos^2\theta - 2\sin^6\theta + 2 = 0\} isMediumTrigonometric Functions
  17. Q17Let S={M=[aij], aij∈{0,1,2}, 1≤i,j≤2}S = \{M = [a_{ij}],\ a_{ij} \in \{0, 1, 2\},\ 1 \le i, j \le 2\} be a sample space and A={M∈S:M is invertible}A = \{M \in S : M \text{ is invertible}\} be an…HardProbability
  18. Q18Let sets A and B have 5 elements each. Let the mean of the elements in sets A and B be 5 and 8 respectively and the variance of the elements in sets…MediumStatistics
  19. Q19Let R be a rectangle given by the lines x=0x = 0, x=2x = 2, y=0y = 0 and y=5y = 5. Let A(α,0)A(\alpha, 0) and B(0,β)B(0, \beta), α∈[0,2]\alpha \in [0, 2] and…MediumStraight Lines
  20. Q20Let y=y(x)y = y(x) be a solution curve of the differential equation. (1−x2y2) dx=y dx+x dy(1 - x^2y^2)\,dx = y\,dx + x\,dy. If the line x=1x = 1 intersects the curve…MediumDifferential Equations
  21. Q21The mean of the coefficients of x,x2,…,x7x, x^2, \ldots, x^7 in the binomial expansion of (2+x)9(2+x)^9 is ______________.MediumBinomial TheoremNumerical
  22. Q22Let a line ll pass through the origin and be perpendicular to the lines…HardThree Dimensional GeometryNumerical
  23. Q23The number of ordered triplets of the truth values of pp, qq and rr such that the truth value of the statement…EasyMathematical ReasoningNumerical
  24. Q24If aa and bb are the roots of the equation x2−7x−1=0x^2 - 7x - 1 = 0, then the value of a21+b21+a17+b17a19+b19\frac{a^{21} + b^{21} + a^{17} + b^{17}}{a^{19} + b^{19}} is…MediumComplex Numbers and Quadratic EquationsNumerical
  25. Q25Let S=109+1085+10752+…+25107+15108S = 109 + \frac{108}{5} + \frac{107}{5^2} + \ldots + \frac{2}{5^{107}} + \frac{1}{5^{108}}. Then the value of (16S−(25)−54)(16S - (25)^{-54}) is equal to…MediumSequences and SeriesNumerical
  26. Q26For m,n>0m, n > 0, let α(m,n)=∫02tm(1+3t)n dt\alpha(m, n) = \int_0^2 t^m(1+3t)^n\,dt. If 11 α(10,6)+18 α(11,5)=p (14)611\,\alpha(10, 6) + 18\,\alpha(11, 5) = p\,(14)^6, then pp is equal to…HardIntegralsNumerical
  27. Q27The number of integral terms in the expansion of (312+514)680\left(3^{\frac{1}{2}} + 5^{\frac{1}{4}}\right)^{680} is equal toMediumBinomial TheoremNumerical
  28. Q28Let Hn:x21+n−y23+n=1, n∈NH_n : \frac{x^2}{1+n} - \frac{y^2}{3+n} = 1,\ n \in \mathbb{N}. Let kk be the smallest even value of nn such that the eccentricity of HkH_k…MediumConic SectionsNumerical
  29. Q29Let A=[012a031c0]A = \begin{bmatrix} 0 & 1 & 2 \\ a & 0 & 3 \\ 1 & c & 0 \end{bmatrix}, where a,c∈Ra, c \in \mathbb{R}. If A3=AA^3 = A and the positive value of aa…HardMatricesNumerical
  30. Q30In an examination, 5 students have been allotted their seats as per their roll numbers. The number of ways, in which none of the students sits on…EasyPermutations 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 2023 shifts.