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Friday, 9 October

JEE Main 2026 · April session

JEE Main 8 April 2026, Shift 2

75 questions: 15 numerical-answer and 60 multiple choice. 13 were rated hard and 18 easy. By hard questions it ranks 3rd of the 9 2026 shifts Lumi analysed. The biggest chapter was Conic Sections, with 3 questions.

Questions
75
none dropped
Numerical answer
15
20% of the shift
Hard
13
17% of the shift
Chapters asked
55
9 questions with a figure

The shift at a glance

Subjects, difficulty and chapters

Physics
25 Q · 5 numerical
Easy 7Medium 16Hard 2

Top chapters

Chemistry
25 Q · 5 numerical
Easy 7Medium 17Hard 1

Top chapters

Maths
25 Q · 5 numerical
Easy 4Medium 11Hard 10

Top chapters

Question format
  • Single correct41 Q
  • Numerical value15 Q
  • Two statements8 Q
  • Other5 Q
  • Diagram based4 Q
  • Match the list2 Q
What each question asks you to do
  • Multi-step40 Q
  • Calculation13 Q
  • Application11 Q
  • Conceptual4 Q
  • Recall4 Q
  • Data or graph2 Q
  • Diagram reading1 Q

Most common: Multi-step.

Every question

All 75 questions, with answers

Open a question for the full text, options, the official answer and the same idea in other shifts.

Physics Q26–50

  1. Q26A new unit (α\alpha) of length is chosen such that it is equal to the speed of light in vacuum. What is the distance between Venus and Earth in…EasyUnits and Measurements
  2. Q27Consider the equation H=xpϵqErtsH = \frac{x^p \epsilon^q E^r}{t^s} Where HH = magnetic field; EE = electric field, ϵ\epsilon = permittivity, xx =…MediumUnits and Measurements
  3. Q28A car moving with a speed of 54 km/h takes a turn of radius 20 m. A simple pendulum is suspended from the ceiling of the car. Determine the angle…EasyLaws of Motion
  4. Q29A gas balloon is going up with a constant velocity of 10 m/s. When this balloon reached a height of 75 m, a stone is dropped from it and balloon…EasyMotion in a Straight Line
  5. Q30A thin biconvex lens is prepared from the glass (μ=1.5\mu = 1.5) both curved surfaces of which have equal radii of 20 cm each. Left side surface of the…MediumRay Optics and Optical Instruments
  6. Q31Two identical bodies, projected with the same speed at two different angles cover the same horizontal range RR. If the time of flight of these…MediumMotion in a Plane
  7. Q32A solid cylinder having radius RR and length LL is slipping on a rough horizontal plane. At time t=0t = 0 the cylinder has a translational velocity…HardSystem of Particles and Rotational Motion
  8. Q33A liquid of density 600 kg/m3^3 flowing steadily in a tube of varying cross-section. The cross-section at a point AA is 1.0 cm2^2 and that at BB…EasyMechanical Properties of Fluids
  9. Q34A spherical liquid drop of radius RR acquires the terminal velocity v1v_1 when falls through a gas of viscosity η\eta. Now the drop is broken into…MediumMechanical Properties of Fluids
  10. Q35One mole of diatomic gas having rotational modes only is kept in a cylinder with a piston system. The cross-section area of the cylinder is 4…MediumThermodynamics
  11. Q36Initial pressure and volume of a monoatomic ideal gas are PP and VV. The change in internal energy of this gas in adiabatic expansion to volume…MediumThermodynamics
  12. Q37The frequency of oscillation of a mass mm suspended by a spring is v1v_1. If the length of the spring is cut to half, the same mass oscillates with…EasyOscillations
  13. Q38A monochromatic source of light operating at 15 kW emits 2.5×10222.5 \times 10^{22} photons/s. The region of an electromagnetic spectrum to which the…MediumElectromagnetic Waves
  14. Q39A current carrying circular loop of radius 2 cm with unit normal n^=k^+i^2\hat{n} = \frac{\hat{k} + \hat{i}}{\sqrt{2}} is placed in a magnetic field,…MediumMoving Charges and Magnetism
  15. Q40A 30 cm long solenoid has 10 turns per cm and area of 5 cm2^2. The current through the solenoid coil varies from 2 A to 4 A in 3.14 s. The e.m.f.…MediumElectromagnetic Induction
  16. Q41Two point charges q1=3 μq_1 = 3\,\muC and q2=−4 μq_2 = -4\,\muC are placed at points (2i^+3j^+3k^)\left(2\hat{i} + 3\hat{j} + 3\hat{k}\right) and…EasyElectric Charges and Fields
  17. Q42Light ray incident along a vector AO→\overrightarrow{AO} (AO→=2i^−3j^)\left(\overrightarrow{AO} = 2\hat{i} - 3\hat{j}\right) emerges out along vector…MediumRay Optics and Optical Instruments
  18. Q43K1K_1 and K2K_2 be the maximum kinetic energies of photoelectrons emitted from a surface of a given material for the light of wavelength λ1\lambda_1…MediumDual Nature of Radiation and Matter
  19. Q44Two radioactive substances A and B of mass numbers 200 and 212 respectively, shows spontaneous α\alpha-decay with same QQ value of 1 MeV. The…MediumNuclei
  20. Q45The output YY for the given inputs AA and BB to the circuit is :MediumSemiconductor Electronics: Materials, Devices and Simple Circuits
  21. Q46A parallel plate capacitor is having separation between plates 0.885 mm. It has a capacitance of 1 μ\muF when the space between the plates is…HardElectrostatic Potential and CapacitanceNumerical
  22. Q47Some distant star is to be observed by some telescope of diameter of objective lens aa, at an angular resolution of 3.0×10−73.0 \times 10^{-7} radian. If…EasyWave OpticsNumerical
  23. Q48A 5 mg particle carrying a charge of 5π×10−65\pi \times 10^{-6} C is moving with velocity of (3i^+2k^)×10−2\left(3\hat{i} + 2\hat{k}\right) \times 10^{-2} m/s in a…MediumMoving Charges and MagnetismNumerical
  24. Q49The stored charge in the capacitor in steady state of the following circuit is ________ μ\muC.MediumCurrent ElectricityNumerical
  25. Q50Two masses of 3.4 kg and 2.5 kg are accelerated from an initial speed of 5 m/s and 12 m/s, respectively. The distances traversed by the masses in…MediumMotion in a Straight LineNumerical

Chemistry Q51–75

  1. Q51Match List - I with List - II. List - I (Mass of substance) | List - II (Number of atoms) A. 1.8 mg water | I.…EasySome Basic Concepts of Chemistry
  2. Q52Given below are two statements : Given : Molar mass of C, H, O, Cl are 12, 1, 16 and 35.5 g mol−1^{-1}, respectively Statement I : In 30% (w/w)…MediumSolutions
  3. Q53Bromine trifluoride autoionizes to form BrF2⊕\mathrm{BrF_2^{\oplus}} and BrF4⊖\mathrm{BrF_4^{\ominus}}. The shapes of the cation and anion are…MediumChemical Bonding and Molecular Structure
  4. Q54Which of the following statements are not correct ? A. For water, magnitude of Kb\mathrm{K_b} is more than the magnitude of Kf\mathrm{K_f}. B. The…MediumSolutions
  5. Q55Consider the following reactions in which all the reactants and products are present in gaseous state 2 xy⇌x2+y22\,xy \rightleftharpoons x_2 + y_2…MediumEquilibrium
  6. Q56Given at 298 K : EFe2+/Fe⊖=XE^{\ominus}_{\mathrm{Fe^{2+}/Fe}} = X Volt EFe3+/Fe⊖=YE^{\ominus}_{\mathrm{Fe^{3+}/Fe}} = Y Volt The…MediumElectrochemistry
  7. Q57Given below are two statements : R=8.314 J K−1 mol−1R = 8.314\ \mathrm{J\,K^{-1}\,mol^{-1}} and 1 cal = 4.2 J Statement I : When Ea = 12.6 kcal/mol, the room…MediumChemical Kinetics
  8. Q58Match List - I with List - II. List - I (Electronic configuration of neutral atom (where n = 2)) | List - II (1st^{st} Ionization Energy (kJ…MediumClassification of Elements and Periodicity in Properties
  9. Q59Find the correct statements related to group 15 hydrides. A. Reducing nature increases from NH3\mathrm{NH_3} to BiH3\mathrm{BiH_3} B. Tendency to…MediumThe p-Block Elements
  10. Q60Given below are two statements : Statement I : The number of pairs among [Ti4+,V2+][\mathrm{Ti^{4+}, V^{2+}}], [V2+,Mn2+][\mathrm{V^{2+}, Mn^{2+}}],…MediumThe d- and f-Block Elements
  11. Q61Given below are two statements for catalytic properties of transition metals. Statement I : First row transition metals which act as catalyst…EasyThe d- and f-Block Elements
  12. Q62Given below are two statements : Statement I : Vapours of the liquid with higher boiling point condense before vapours of the liquid with lower…EasyOrganic Chemistry: Some Basic Principles and Techniques
  13. Q63The major product of which of the following reaction is not obtained by rearrangement reaction ?MediumHaloalkanes and Haloarenes
  14. Q64The total number of aromatic compounds/species from the following is [figures: p-benzoquinone; tropylium cation (cycloheptatrienyl cation);…MediumOrganic Chemistry: Some Basic Principles and Techniques
  15. Q65n-Butane on monochlorination under photochemical condition gives an optically active compound "P". "P" on further chlorination gives dichloro…MediumHydrocarbons
  16. Q66Given below are two statements : Statement I : Due to increase in van der Waals forces, the order of boiling points is…MediumHaloalkanes and Haloarenes
  17. Q67Consider the following reaction. [figure: N-substituted 2-piperidone (six-membered lactam, C=O adjacent to ring N) with N bonded to CH(CH3)-CHO]…HardAldehydes, Ketones and Carboxylic Acids
  18. Q68Which statements are True ? A. In Hoffmann bromamide degradation, 4 moles of NaOH and 2 moles of Br2\mathrm{Br_2} are consumed per mole of an amide…MediumAmines
  19. Q69The incorrect statement from the following with respect to carbohydrates is :EasyBiomolecules
  20. Q70Which of the following amino acid will give violet coloured complex with neutral ferric chloride solution ?EasyBiomolecules
  21. Q71Number of paramagnetic complexes among the following is ________. [MnBr4]2−[\mathrm{MnBr_4}]^{2-}, [NiCl4]2−[\mathrm{NiCl_4}]^{2-}, [Ni(CN)4]2−[\mathrm{Ni(CN)_4}]^{2-},…MediumCoordination CompoundsNumerical
  22. Q72'xx' is the product which is obtained from benzene by reacting it with carbon monoxide and hydrogen chloride in the presence of cuprous chloride.…MediumAldehydes, Ketones and Carboxylic AcidsNumerical
  23. Q73Consider two radiations of wavelengths 1. λ1=2000\lambda_1 = 2000 Å 2. λ2=6000\lambda_2 = 6000 Å The ratio of the energies of these two radiations…EasyStructure of AtomNumerical
  24. Q74Consider the reaction 2H2S(g)+3O2(g)→2H2O(l)+2SO2(g)2\mathrm{H_2S(g)} + 3\mathrm{O_2(g)} \rightarrow 2\mathrm{H_2O(l)} + 2\mathrm{SO_2(g)} The magnitude of enthalpy change for…EasyThermodynamics (Chemistry)Numerical
  25. Q75Solid carbon, CaO and CaCO3\mathrm{CaCO_3} are mixed and allowed to attain equilibrium at T K.…MediumEquilibriumNumerical

Maths Q1–25

  1. Q1Consider the relation R on the set {−2,−1,0,1,2}\{-2, -1, 0, 1, 2\} defined by (a,b)∈R(a, b) \in R if and only if 1+ab>01 + ab > 0. Then, among the statements : I. The…MediumRelations and Functions
  2. Q2The number of values of z∈Cz \in \mathbb{C}, satisfying the equations ∣z−(4+8i)∣=10|z - (4 + 8i)| = \sqrt{10} and…HardComplex Numbers and Quadratic Equations
  3. Q3If the system of linear equations : x+y+z=6x + y + z = 6, x+2y+5z=10x + 2y + 5z = 10, 2x+3y+λz=μ2x + 3y + \lambda z = \mu has infinitely many solutions, then the value…EasyDeterminants
  4. Q4Let A=[α12230045]A = \begin{bmatrix} \alpha & 1 & 2 \\ 2 & 3 & 0 \\ 0 & 4 & 5 \end{bmatrix} and…HardDeterminants
  5. Q5Let α=3+4+8+9+13+14+…\alpha = 3 + 4 + 8 + 9 + 13 + 14 + \ldots up to 40 terms. If (tan⁡β)α1020(\tan\beta)^{\frac{\alpha}{1020}} is a root of the equation x2+x−2=0x^2 + x - 2 = 0,…MediumSequences and Series
  6. Q6A candidate has to go to the examination centre to appear in an examination. The candidate uses only one means of transportation for the entire…EasyProbability
  7. Q7A set of four observations has mean 1 and variance 13. Another set of six observations has mean 2 and variance 1. Then, the variance of all these 10…EasyStatistics
  8. Q8If…HardBinomial Theorem
  9. Q9A person has three different bags and four different books. The number of ways, in which he can put these books in the bags so that no bag is empty,…EasyPermutations and Combinations
  10. Q10If a straight line drawn through the point of intersection of the lines 4x+3y−1=04x + 3y - 1 = 0 and 3x+4y−1=03x + 4y - 1 = 0, meets the co-ordinate axes at the…MediumStraight Lines
  11. Q11Let O be the vertex of the parabola y2=4xy^2 = 4x and its chords OP and OQ are perpendicular to each other. If the locus of the mid-point of the line…MediumConic Sections
  12. Q12Let α=3sin⁡−1(611)\alpha = 3\sin^{-1}\left(\frac{6}{11}\right) and β=3cos⁡−1(49)\beta = 3\cos^{-1}\left(\frac{4}{9}\right), where inverse trigonometric functions take only…HardInverse Trigonometric Functions
  13. Q13For the function f(x)=esin⁡∣x∣−∣x∣f(x) = \mathrm{e}^{\sin|x|} - |x|, x∈Rx \in \mathbf{R}, consider the following statements : Statement I : ff is differentiable…MediumContinuity and Differentiability
  14. Q14Let a⃗=4i^−j^+3k^\vec{a} = 4\hat{i} - \hat{j} + 3\hat{k}, b⃗=10i^+2j^−k^\vec{b} = 10\hat{i} + 2\hat{j} - \hat{k} and a vector c⃗\vec{c} be such that…MediumVector Algebra
  15. Q15Let the foot of perpendicular from the point (λ,2,3)(\lambda, 2, 3) on the line x−41=y−92=z−51\frac{x-4}{1} = \frac{y-9}{2} = \frac{z-5}{1} be the point…MediumThree Dimensional Geometry
  16. Q16The value of the integral ∫02x (x2+x+1)(x+1)(x4+x2+1) dx\int_0^2 \frac{\sqrt{x}\,(x^2 + x + 1)}{(\sqrt{x} + 1)\left(\sqrt{x^4 + x^2 + 1}\right)}\,dx is equal to :HardIntegrals
  17. Q17Let y=y(x)y = y(x) be the solution of the differential equation x1−x2 dy+(y1−x2−xcos⁡−1x)dx=0x\sqrt{1-x^2}\,dy + \left(y\sqrt{1-x^2} - x\cos^{-1}x\right)dx = 0, x∈(0,1)x \in (0, 1),…MediumDifferential Equations
  18. Q18Let f:(1,∞)→Rf : (1, \infty) \to \mathbf{R} be a function defined as f(x)=x−1x+1f(x) = \frac{x-1}{x+1}. Let fi+1(x)=f(fi(x))f^{i+1}(x) = f\left(f^{i}(x)\right),…HardApplication of Integrals
  19. Q19Let f(x)={13,x≤π/2b(1−sin⁡x)(π−2x)2,x>π/2f(x) = \begin{cases} \frac{1}{3}, & x \le \pi/2 \\ \frac{b(1 - \sin x)}{(\pi - 2x)^2}, & x > \pi/2 \end{cases}. If ff is continuous at…MediumContinuity and Differentiability
  20. Q20Let x2f(a2+7a+3)+y2f(3a+15)=1\frac{x^2}{f(a^2 + 7a + 3)} + \frac{y^2}{f(3a + 15)} = 1 represent an ellipse with major axis along yy-axis, where ff is a strictly…HardConic Sections
  21. Q21The sum of squares of all the real solutions of the equation log⁡(x+1)(2x2+5x+3)=4−log⁡(2x+3)(x2+2x+1)\log_{(x+1)}(2x^2 + 5x + 3) = 4 - \log_{(2x+3)}(x^2 + 2x + 1) is equal to ________.MediumTrigonometric FunctionsNumerical
  22. Q22If ∫π/6π/4(cot⁡(x−π3)cot⁡(x+π3)+1)dx=αlog⁡e(3−1)\int_{\pi/6}^{\pi/4} \left(\cot\left(x - \frac{\pi}{3}\right)\cot\left(x + \frac{\pi}{3}\right) + 1\right)dx = \alpha \log_e(\sqrt{3} - 1),…HardIntegralsNumerical
  23. Q23Let a line L1L_1 pass through the origin and be perpendicular to the lines L2:r⃗=(3+t)i^+(2t−1)j^+(2t+4)k^L_2 : \vec{r} = (3 + t)\hat{i} + (2t - 1)\hat{j} + (2t + 4)\hat{k} and…MediumThree Dimensional GeometryNumerical
  24. Q24Consider the circle C:x2+y2−6x−8y−11=0C : x^2 + y^2 - 6x - 8y - 11 = 0. Let a variable chord AB of the circle C subtend a right angle at the origin. If the locus of…HardConic SectionsNumerical
  25. Q25Let ff be a polynomial function such that…HardSequences and SeriesNumerical

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 2026 shifts.