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Friday, 9 October

JEE Main 2026 · April session

JEE Main 4 April 2026, Shift 2

75 questions: 15 numerical-answer and 60 multiple choice. 14 were rated hard and 23 easy. By hard questions it ranks 1st 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
14
19% of the shift
Chapters asked
54
13 questions with a figure

The shift at a glance

Subjects, difficulty and chapters

Physics
25 Q · 5 numerical
Easy 10Medium 15Hard 0

Top chapters

Chemistry
25 Q · 5 numerical
Easy 8Medium 12Hard 5

Top chapters

Maths
25 Q · 5 numerical
Easy 5Medium 11Hard 9

Top chapters

Question format
  • Single correct40 Q
  • Numerical value15 Q
  • Other7 Q
  • Diagram based7 Q
  • Match the list3 Q
  • Assertion–reason3 Q
What each question asks you to do
  • Multi-step30 Q
  • Calculation24 Q
  • Application9 Q
  • Conceptual6 Q
  • Recall3 Q
  • Diagram reading2 Q
  • Data or graph1 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. Q26Match the LIST-I with LIST-II List-I: A. Planck's constant B. Stopping potential C. Work function D. Threshold frequency List-II: I.…MediumDual Nature of Radiation and Matter
  2. Q27Two cars AA and BB are moving in the same direction along a straight line with speeds 100 km/h and 80 km/h, respectively such that car AA is…MediumMotion in a Straight Line
  3. Q28At t=0t=0, a body of mass 100 g starts moving under the influence of a force (5i^+10j^)\left(5\hat i+10\hat j\right) N. After 2 s its position is…EasyLaws of Motion
  4. Q29If xx and yy coordinates of a projectile as a function of time (tt) are given as 24t24t and 43.6t−4.9t243.6t-4.9t^2, respectively, then the angle (in…EasyMotion in a Plane
  5. Q30The height in terms of radius of the earth (RR), at which the acceleration due to gravity becomes g9\frac g9, where gg is acceleration due to…EasyGravitation
  6. Q31A metal string AA is suspended from a rigid support and its free end is attached to a block of mass MM. Second block having mass 2M2M is suspended…MediumMechanical Properties of Solids
  7. Q32A water spray gun is attached to a hose of cross sectional area 30 cm230\ \mathrm{cm^2}. The gun comprises of 10 perforations each of cross sectional…EasyMechanical Properties of Fluids
  8. Q33Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: If the average kinetic energy of…EasyKinetic Theory
  9. Q34The temperature of a metal strip having coefficient of linear expansion α\alpha is increased from T1T_1 to T2T_2 resulting in increase of its…MediumThermal Properties of Matter
  10. Q35A uniform disc of radius RR and mass MM is free to oscillate about the axis AA as shown in the figure. For small oscillations the time period is…MediumOscillations
  11. Q36A rigid dipole undergoes a simple harmonic motion about its centre in the presence of an electric field E⃗1=E0 x^\vec E_1=E_0\,\hat x. If another electric…MediumElectric Charges and Fields
  12. Q37From the circuit given below, the capacitance between terminals AA and BB shown in the circuit is ________ μ\muF. (take C1=C2=C3=1 μC_1=C_2=C_3=1\ \muF and…MediumElectrostatic Potential and Capacitance
  13. Q38Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: In electrostatics, a conductor…MediumElectrostatic Potential and Capacitance
  14. Q39A solenoid has a core made of material with relative permeability 400. The magnetic field produced in the interior of solenoid is 1.0 T. The…EasyMagnetism and Matter
  15. Q40A magnetic field vector in an electromagnetic wave is represented by B⃗=B0sin⁡(2πvt−2πxλ) j^\vec B=B_0\sin\left(2\pi vt-\frac{2\pi x}{\lambda}\right)\,\hat j. Its…MediumElectromagnetic Waves
  16. Q41A convex lens is made from glass material having refractive index of 1.4 with same radius of curvature on both sides. The ratio of its focal length…EasyRay Optics and Optical Instruments
  17. Q42An unpolarized light of certain intensity passes through a combination of two polarizers whose transmission axes are at 30∘30^\circ and 90∘90^\circ,…MediumWave Optics
  18. Q43In Rutherford's alpha-particle scattering experiment, only a few alpha particles rebound back because A. The size of gold nucleus is very small as…MediumAtoms
  19. Q44The de Broglie wavelength associated with an electron accelerated through a potential difference V is λe\lambda_e and the de Broglie wavelength…EasyDual Nature of Radiation and Matter
  20. Q45Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: A diode under reverse-biased…MediumSemiconductor Electronics: Materials, Devices and Simple Circuits
  21. Q46A diode has Zener voltage of 10 V and maximum power dissipation of 0.5 W, then the minimum resistance to be used in series with this diode for…MediumSemiconductor Electronics: Materials, Devices and Simple CircuitsNumerical
  22. Q47A gun mounted on the ground fires bullets in all directions with same speed. The farthest distance the bullets could reach is 6.4 m. The speed of…EasyMotion in a PlaneNumerical
  23. Q48Two identical small bar magnets each of dipole moment 353\sqrt5 J/T are placed at a center to center separation of 10 cm, with their axes…MediumMagnetism and MatterNumerical
  24. Q49A circular coil of radius 2 cm and 125 turns carries a current of 1 A. The coil is placed in a uniform magnetic field of magnitude 0.4 T. The axis…EasyMoving Charges and MagnetismNumerical
  25. Q50In a double slit experiment, when one of the slits is covered by a transparent mica sheet of refractive index 1.56, the central fringe shifts to the…MediumWave OpticsNumerical

Chemistry Q51–75

  1. Q51The correct order of total number of atoms present in (A) 2 moles of cyclohexane (B) 684 g of sucrose (C) 90.8 L of dihydrogen at STP is:EasySome Basic Concepts of Chemistry
  2. Q52The species having identical radii according to the Bohr's theory are: A. H (first orbit) B. He+\mathrm{He^+} (first orbit) C. He+\mathrm{He^+}…EasyStructure of Atom
  3. Q53Which of the following pictorial diagram most correctly represents the π∗\pi^* (π\pi-antibonding) molecular orbital between two atoms if the…MediumChemical Bonding and Molecular Structure
  4. Q54At 27 ∘^\circC, 0.1 M, 1 L K4[Fe(CN)6]\mathrm{K_4[Fe(CN)_6]} aqueous solution and 0.1 M, 1 L FeCl3\mathrm{FeCl_3} aqueous solution are placed in a container…MediumSolutions
  5. Q5520 mL of a solution of acetic acid required 28.4 mL of 0.1 M NaOH for its neutralization. A solution (X) was prepared by mixing 20 mL of the above…EasyEquilibrium
  6. Q56Match the LIST-I with LIST-II List-I (Reaction): A. Williamson Synthesis B. Friedel Craft Reaction C. Bromination of vinyl benzene D. Chlorination…EasyHaloalkanes and Haloarenes
  7. Q57The 1st1^{\text{st}} ionization enthalpy for Mg is +737 kJ/mol. The most probable estimated value of the 2nd2^{\text{nd}} ionization enthalpy of Mg is…EasyClassification of Elements and Periodicity in Properties
  8. Q58The electronegativity of a group 13 element 'E' is same as that of Ge (on Pauling scale and upto one decimal point). The CORRECT statements about…HardThe p-Block Elements
  9. Q59Pairs of elements with the same number of electrons in their respective 4f orbital are [Atomic number: Eu-63, Gd-64, Dy-66, Ho-67, Tm-69, Yb-70,…MediumThe d- and f-Block Elements
  10. Q60Consider the metal complexes [Ni(en)3]2+\mathrm{[Ni(en)_3]^{2+}} (A), [NiCl4]2−\mathrm{[NiCl_4]^{2-}} (B) and [Ni(NH3)6]2+\mathrm{[Ni(NH_3)_6]^{2+}} (C). Choose the CORRECT…MediumCoordination Compounds
  11. Q61Consider the following molecules/species: (x) cycloheptatrienone (tropone): a seven-membered ring with three C=C double bonds and an exocyclic C=O…HardOrganic Chemistry: Some Basic Principles and Techniques
  12. Q62Consider ∣x∣|x| is the difference in oxidation states of Mn in highest manganese fluoride and highest manganese oxide. The ions with ∣x∣|x| number of…MediumThe d- and f-Block Elements
  13. Q63Consider the given graph showing variation of reactant concentration with time. Three different reactions were started with identical initial…MediumChemical Kinetics
  14. Q64Compound (X) is subjected to the sequence of reactions as shown above. Molar mass of the major product (Y) formed is ________…MediumHydrocarbons
  15. Q65The following structures are [figure: stereocentre C with Br (up), CH3 (hashed, left), Me (down), Cl (wedge, right)] and [figure: stereocentre C…EasyHaloalkanes and Haloarenes
  16. Q66The descending order of acidity among the following compounds is: A. phenol B. 4-nitrophenol (O2N\mathrm{O_2N} para to OH on the benzene ring) C.…MediumAlcohols, Phenols and Ethers
  17. Q67The strongest conjugate acid will result from:EasyAmines
  18. Q68A D-aldotetrose on oxidation with concentrated HNO3\mathrm{HNO_3} resulted in optically inactive dicarboxylic acid. The structure of the D-aldotetrose…MediumBiomolecules
  19. Q69Among Fe3+\mathrm{Fe^{3+}}, Pb2+\mathrm{Pb^{2+}}, Cu2+\mathrm{Cu^{2+}} and Mn2+\mathrm{Mn^{2+}}, identify the one that gets precipitated out while passing…MediumEquilibrium
  20. Q70Match the LIST-I with LIST-II List-I (Compound): A. [figure: cyclohexane ring bearing OH] B. [figure: cyclohexane ring bearing NH2] C. [figure:…MediumAlcohols, Phenols and Ethers
  21. Q71If 3.365 g of ethanol (ll) is burnt completely in a bomb calorimeter at 298.15 K, the heat produced is 99.472 kJ. The ∣ΔHf∘∣|\Delta H_f^\circ| of…HardThermodynamics (Chemistry)Numerical
  22. Q72For the following reaction at 50 ∘^\circC and at 2 atm pressure, 2N2O5(g)⇌2N2O4(g)+O2(g)\mathrm{2N_2O_5(g)\rightleftharpoons2N_2O_4(g)+O_2(g)} N2O5\mathrm{N_2O_5} is 50%…HardThermodynamics (Chemistry)Numerical
  23. Q73An electrochemical cell, consist of the following two redox couples, Mx+(aq)/M(s)\mathrm{M^{x+}(aq)/M(s)} [Ered⊖=+0.15 V][E^\ominus_{red}=+0.15\ \mathrm{V}] and…HardElectrochemistryNumerical
  24. Q74For a first order reaction A→B\mathrm{A\rightarrow B} [table: t/min = 0, x, 20; [A]/M = 0.6500, 0.0650, 0.00065] x=x= ________ min. (Nearest integer)MediumChemical KineticsNumerical
  25. Q75In sulphur estimation, 2.0×10−32.0\times10^{-3} mol of an organic compound (X) (molar mass 76 g mol−1\mathrm{g\ mol^{-1}}) gave 0.4813 g of barium sulphate…EasyOrganic Chemistry: Some Basic Principles and TechniquesNumerical

Maths Q1–25

  1. Q1For the function f:[1,∞)→[1,∞)f:[1,\infty)\to[1,\infty) defined by f(x)=(x−1)4+1f(x)=(x-1)^4+1, among the two statements: (I) The set…HardRelations and Functions
  2. Q2Let S={z∈C:z2+4z+16=0}S=\{z\in\mathbb{C}:z^2+4z+16=0\}. Then ∑z∈S∣z+3 i∣2\sum_{z\in S}|z+\sqrt{3}\,i|^2 is equal to:EasyComplex Numbers and Quadratic Equations
  3. Q3If the system of equations: x+y+z=5x+y+z=5 x+2y+3z=9x+2y+3z=9 x+3y+λz=μx+3y+\lambda z=\mu has infinitely many solutions, then the value of λ+μ\lambda+\mu is:EasyDeterminants
  4. Q4If α=1\alpha=1 and β=1+i2\beta=1+i\sqrt{2}, where i=−1i=\sqrt{-1} are two roots of the equation x3+ax2+bx+c=0x^3+ax^2+bx+c=0, a,b,c∈Ra,b,c\in\mathbb{R}, then…MediumIntegrals
  5. Q5If the quadratic equation (λ+2)x2−3λx+4λ=0(\lambda+2)x^2-3\lambda x+4\lambda=0, λ≠−2\lambda\neq-2, has two positive roots, then the number of possible integral…MediumComplex Numbers and Quadratic Equations
  6. Q6Let A=[1274−2838−7]A=\begin{bmatrix}1&2&7\\4&-2&8\\3&8&-7\end{bmatrix} and det⁡(A−αI)=0\det(A-\alpha I)=0, where α\alpha is a real number. If the largest possible value…HardDeterminants
  7. Q7Let α=14+18+116+…∞\alpha=\frac14+\frac18+\frac1{16}+\ldots\infty and β=13+19+127+…∞\beta=\frac13+\frac19+\frac1{27}+\ldots\infty. Then the value of…EasySequences and Series
  8. Q8For 10 observations x1,x2,…,x10x_1,x_2,\ldots,x_{10}, if ∑i=110(xi+2)2=180\sum_{i=1}^{10}(x_i+2)^2=180 and ∑i=110(xi−1)2=90\sum_{i=1}^{10}(x_i-1)^2=90, then their standard deviation is:MediumStatistics
  9. Q9In the expansion of (9x−13x)18\left(9x-\frac{1}{3\sqrt{x}}\right)^{18}, x>0x>0, if the term independent of xx is (221)k(221)k, then kk is equal to:MediumBinomial Theorem
  10. Q10Let P(3cos⁡α,2sin⁡α)P(3\cos\alpha,2\sin\alpha), α≠0\alpha\neq0, be a point on the ellipse x29+y24=1\frac{x^2}{9}+\frac{y^2}{4}=1, QQ be a point on the circle…HardConic Sections
  11. Q11Let H:x2a2−y2b2=1H:\frac{x^2}{a^2}-\frac{y^2}{b^2}=1 be a hyperbola such that the distance between its foci is 6 and the distance between its directrices is…MediumConic Sections
  12. Q12max⁡0≤x≤π(16sin⁡(x2)cos⁡3(x2))\max_{0\le x\le\pi}\left(16\sin\left(\frac x2\right)\cos^3\left(\frac x2\right)\right) is equal to:MediumApplication of Derivatives
  13. Q13The shortest distance between the lines r⃗=(13i^+2j^+83k^)+λ(2i^−5j^+6k^)\vec r=\left(\frac13\hat i+2\hat j+\frac83\hat k\right)+\lambda\left(2\hat i-5\hat j+6\hat k\right) and…EasyThree Dimensional Geometry
  14. Q14If (2α+1, α2−3α, α−12)\left(2\alpha+1,\,\alpha^2-3\alpha,\,\frac{\alpha-1}{2}\right) is the image of (α,2α,1)(\alpha,2\alpha,1) in the line…MediumThree Dimensional Geometry
  15. Q15Let u^\hat u and v^\hat v be unit vectors inclined at an acute angle such that ∣u^×v^∣=32|\hat u\times\hat v|=\frac{\sqrt3}{2}. If…HardVector Algebra
  16. Q16Let for some α∈R\alpha\in\mathbb{R}, f:R→Rf:\mathbb{R}\to\mathbb{R} be a function satisfying f(x+y)=f(x)+2y2+y+αxyf(x+y)=f(x)+2y^2+y+\alpha xy for all x,y∈Rx,y\in\mathbb{R}.…MediumRelations and Functions
  17. Q17Let A={(a,b,c):a,b,cA=\{(a,b,c):a,b,c are non-negative integers and a+b+2c=22}a+b+2c=22\}. Then n(A)n(A) is equal to:MediumPermutations and Combinations
  18. Q18The area of the region bounded by the curves x+3y2=0x+3y^2=0 and x+4y2=1x+4y^2=1 is equal to:EasyApplication of Integrals
  19. Q19Let y=y(x)y=y(x) be the solution of the differential equation:…HardDifferential Equations
  20. Q20The integral ∫01cot⁡−1(1+x+x2)dx\int_0^1\cot^{-1}\left(1+x+x^2\right)dx is equal to:HardIntegrals
  21. Q21From a month of 31 days, 3 different dates are selected at random. If the probability that these dates are in an increasing A.P. is equal to…MediumProbabilityNumerical
  22. Q22Let f(x)={ex−1,x<0x2−5x+6,x≥0f(x)=\begin{cases}e^{x-1}, & x<0\\ x^2-5x+6, & x\ge0\end{cases} and g(x)=f(∣x∣)+∣f(x)∣g(x)=f(|x|)+|f(x)|. If the number of points where gg is not continuous…MediumContinuity and DifferentiabilityNumerical
  23. Q23Let A,BA,B be points on the two half-lines x−3 ∣y∣=ax-\sqrt3\,|y|=a, a>0a>0 at a distance of aa from their point of intersection PP. The line segment ABAB…HardStraight LinesNumerical
  24. Q24Let A,BA,B and CC be the vertices of a variable right angled triangle inscribed in the parabola y2=16xy^2=16x. Let the vertex BB containing the right…HardConic SectionsNumerical
  25. Q25Let ff be a twice differentiable function such that f(x)=∫0xtan⁡(t−x) dt−∫0xf(t)tan⁡t dtf(x)=\int_0^x\tan(t-x)\,dt-\int_0^x f(t)\tan t\,dt, x∈(−π2,π2)x\in\left(-\frac\pi2,\frac\pi2\right).…HardDifferential 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 2026 shifts.