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Friday, 9 October

JEE Main 2026 · April session

JEE Main 5 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
55
6 questions with a figure

The shift at a glance

Subjects, difficulty and chapters

Physics
25 Q · 5 numerical
Easy 13Medium 9Hard 3

Top chapters

Chemistry
25 Q · 5 numerical
Easy 6Medium 18Hard 1

Top chapters

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

Top chapters

Question format
  • Single correct46 Q
  • Numerical value15 Q
  • Two statements6 Q
  • Match the list3 Q
  • Diagram based2 Q
  • Other2 Q
  • Assertion–reason1 Q
What each question asks you to do
  • Multi-step27 Q
  • Calculation22 Q
  • Conceptual11 Q
  • Application9 Q
  • Recall4 Q
  • Data or graph2 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 List - I with List - II. List - I A. Meter (L) B. Second (S) C. Kilogram (M) D. Kelvin (K) List - II I. hcG\sqrt{\frac{hc}{G}} II.…HardUnits and Measurements
  2. Q27In an experiment to determine the resistance of a given wire using Ohm's law, the voltmeter and ammeter readings are noted as 10 V and 5 A,…EasyUnits and Measurements
  3. Q28A mass of 1 kg is kept on a inclined plane with 30∘30^\circ inclination with respect to horizontal plane and it is at rest initially. Then the whole…MediumWork, Energy and Power
  4. Q29The velocity (vv) versus time (tt) plot of a particle is shown in the figure, for a time interval of 40 s. The total distance travelled by the…EasyMotion in a Straight Line
  5. Q30A wheel initially at rest is subjected to a uniform angular acceleration about its axis. In the first 2 s it rotates through an angle θ1\theta_1 and…EasySystem of Particles and Rotational Motion
  6. Q31An object of uniform density rolls up the curved path with the initial velocity v0v_0 as shown in the figure. If the maximum height attained by an…MediumSystem of Particles and Rotational Motion
  7. Q32A body of mass mm is taken from the surface of earth to a height equal to twice the radius of earth (ReR_e). The increase in potential energy will…EasyGravitation
  8. Q33Eight mercury drops, each of radius rr, coalesce to form a bigger drop. The surface energy released in this process is __________. (S is the…EasyMechanical Properties of Fluids
  9. Q34An ideal gas at pressure PP and temperature TT is expanding such that PT3PT^3 = constant. The coefficient of volume expansion of the gas is…MediumThermal Properties of Matter
  10. Q35Match List - I with List - II. List - I A. sin⁡2ωt\sin^2\omega t B. sin⁡3(2ωt)\sin^3(2\omega t) C. sin⁡(ωt)+cos⁡(πωt)\sin(\omega t)+\cos(\pi\omega t) D.…HardOscillations
  11. Q36A metal rod of length LL rotates about one end at origin with a uniform angular velocity ω\omega. The magnetic field radially falls off as…HardElectromagnetic Induction
  12. Q37Under steady state condition the potential difference across the capacitor in the circuit is __________ V.MediumCurrent Electricity
  13. Q38A particle of charge qq and mass mm is projected from origin with an initial velocity…MediumMoving Charges and Magnetism
  14. Q39Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The electromagnetic wave…EasyElectromagnetic Waves
  15. Q40A thin convex lens and a thin concave lens are kept in contact and are co-axial. Which of the following statements is correct for this combination…EasyRay Optics and Optical Instruments
  16. Q41An object ABAB is placed 15 cm on the left of a convex lens PP of focal length 10 cm. Another convex lens QQ is now placed 15 cm right of lens…MediumRay Optics and Optical Instruments
  17. Q42The maximum intensity in a Young's double slit experiment is I0I_0. Distance between the slits (dd) is 5λ5\lambda, where λ\lambda is the…MediumWave Optics
  18. Q43An electron is travelling with a velocity vv in free space and when it enters a medium, its velocity is reduced by 20%. The de Broglie wavelength…EasyDual Nature of Radiation and Matter
  19. Q44Assuming the experimental mass of 612C{}^{12}_{6}\mathrm{C} as 12 u, the mass defect of 612C{}^{12}_{6}\mathrm{C} atom is ________ MeV/c2\mathrm{MeV}/c^2.…EasyNuclei
  20. Q45In a semiconductor p-n diode, the doping concentrations on p-side and n-side are 101510^{15} atoms/cm3^3 and 101810^{18} atoms/cm3^3, respectively.…MediumSemiconductor Electronics: Materials, Devices and Simple Circuits
  21. Q46A copper wire of length 3 m is stretched by 3 mm by applying an external force. The volume of the wire is 600×10−6 m3600\times10^{-6}\ \mathrm{m^3}. The…EasyMechanical Properties of SolidsNumerical
  22. Q47The heat extracted out of xx gram of water initially at 50 ∘^\circC to cool it down to 0 ∘^\circC is sufficient to evaporate (1000−x)(1000-x) gram of…MediumThermal Properties of MatterNumerical
  23. Q48A series LCR circuit with R=20 ΩR=20\ \Omega, L=1.6L=1.6 H and C=40 μFC=40\ \mu\mathrm{F} is connected to a variable frequency a.c. source. The inductive…EasyAlternating CurrentNumerical
  24. Q49When an external resistance of 5 Ω\Omega is connected across terminals of a cell, a current of 0.25 A flows through it. When the 5 Ω\Omega…EasyCurrent ElectricityNumerical
  25. Q50A circular loop of radius 20 cm and resistance 2 Ω\Omega is placed in a time varying magnetic field B⃗=(2t2+2t+3) T\vec{B}=(2t^2+2t+3)\ \mathrm{T}. At t=0t=0,…EasyElectromagnetic InductionNumerical

Chemistry Q51–75

  1. Q51What volume of hydrogen gas at STP would be liberated by action of 50 mL of H2SO4\mathrm{H_2SO_4} of 50% purity (density = 1.3 g mL−1^{-1}) on 20 g of…MediumSome Basic Concepts of Chemistry
  2. Q52Which of the following statement(s) is/are true ? A. If two orbitals have the same value of (n+l)(n+l), the orbital with lower value of n will have…MediumStructure of Atom
  3. Q53The covalent radii of atoms A and B are rAr_A and rBr_B, respectively. The covalent bond length and total length of AB molecule are respectivelyMediumClassification of Elements and Periodicity in Properties
  4. Q54Consider the following data for the reaction X2(g)+Y2(g)⇌2XY(g)\mathrm{X_2(g)+Y_2(g)\rightleftharpoons 2XY(g)} at 600 K. The ΔrG⊖\Delta_r G^\ominus (in kJ mol−1^{-1})…MediumThermodynamics (Chemistry)
  5. Q55The correct order of molar heat capacities measured at 298 K and 1 bar is :MediumThermodynamics (Chemistry)
  6. Q56The reaction A(g)⇌B(g)+C(g)\mathrm{A(g)\rightleftharpoons B(g)+C(g)} was initiated with the amount 'a' of A(g). At equilibrium it is found that the amount of…MediumEquilibrium
  7. Q57One half cell in a voltaic cell is constructed by dipping silver rod in AgNO3\mathrm{AgNO_3} solution of unknown concentration, other half cell is Zn…MediumElectrochemistry
  8. Q58Given below are two statements : Statement I : The number of pairs among [Al2O3,Cr2O3]\mathrm{[Al_2O_3, Cr_2O_3]}, [Cl2O7,Mn2O7]\mathrm{[Cl_2O_7, Mn_2O_7]},…MediumClassification of Elements and Periodicity in Properties
  9. Q59Given below are two statements : Statement I : Aluminium upon reaction with NaOH forms [Al(OH)6]3−\mathrm{[Al(OH)_6]^{3-}} ion. Statement II : The geometry…MediumThe p-Block Elements
  10. Q60Given below are two statements : Statement I : Presence of large number of unpaired electrons in transition metal atoms results in higher enthalpies…MediumThe d- and f-Block Elements
  11. Q61Identify the correct statements from the following A. [Fe(C2O4)3]3−\mathrm{[Fe(C_2O_4)_3]^{3-}} is the most stable complex among [Fe(OH)6]3−\mathrm{[Fe(OH)_6]^{3-}},…HardCoordination Compounds
  12. Q62Match List - I with List - II. List - I (Purification technique) A. Simple distillation B. Fractional distillation C. Steam distillation D.…EasyOrganic Chemistry: Some Basic Principles and Techniques
  13. Q63IUPAC name of the some alkenes are given below. Find out the correct stability order. A. 2-Methylbut-2-ene B. ciscis-But-2-ene C. 2,…MediumHydrocarbons
  14. Q64Identify the correct IUPAC name of hydrocarbon (xx) containing three primary carbon atoms and with molar mass 72 g mol−1^{-1}.EasyOrganic Chemistry: Some Basic Principles and Techniques
  15. Q65Complete the following reaction sequence and give the name of major product 'P'. CH3CH2C≡N\mathrm{CH_3CH_2C{\equiv}N}…MediumAldehydes, Ketones and Carboxylic Acids
  16. Q66Given below are two statements : Statement I : The condensation reaction between CH3−CH=O\mathrm{CH_3-CH=O} and H2N−NH−C(=O)−NH2\mathrm{H_2N-NH-C(=O)-NH_2} under…MediumAldehydes, Ketones and Carboxylic Acids
  17. Q67Given below are two statements : Statement I : Heating benzamide with bromine in an ethanolic solution of sodium hydroxide will give benzylamine.…MediumAmines
  18. Q68Identify the incorrect statement about tertiary structure of proteins.EasyBiomolecules
  19. Q69Given below are two statements : Statement I : [figure: two ring (pyranose) structures, each with CH2_2-OH, ring O, H, OH and H substituents,…MediumBiomolecules
  20. Q70A paper dipped in a dil. H2SO4\mathrm{H_2SO_4} solution of 'X' upon treatment with SO2\mathrm{SO_2} gas turns into green. The compound 'X' is :EasyThe p-Block Elements
  21. Q71The total number of unpaired electrons present in the d3d^3, d4d^4 (low spin) d5d^5 (high spin), d6d^6 (high spin) and d7d^7 (low spin) octahedral…EasyCoordination CompoundsNumerical
  22. Q72RMgI when treated with ice cold water liberated a gas which occupied 1.4 dm3^3/g at STP. The gas produced is further reacted with iodine in…MediumHaloalkanes and HaloarenesNumerical
  23. Q7320 g hemoglobin in a 1 L aqueous solution (A) at 300 K is separated from pure water by semi permeable membrane. At equilibrium the height of…MediumSolutionsNumerical
  24. Q74At 298 K, the molar conductivity of x%x\% (w/w) MX solution (aqueous) is 123.5 S cm2^2 mol−1^{-1}. The conductance of same solution is…MediumElectrochemistryNumerical
  25. Q75For a reaction A→P\mathrm{A\to P} at T K, the half life (t1/2t_{1/2}) is plotted as a function of initial concentration [A]0[\mathrm{A}]_0 of A as given…EasyChemical KineticsNumerical

Maths Q1–25

  1. Q1Let α,β\alpha, \beta be the roots of the equation x2−x+p=0x^2-x+p=0 and γ,δ\gamma, \delta be the roots the equation x2−4x+q=0x^2-4x+q=0; p,q∈Zp, q \in \mathbf{Z}. If…MediumComplex Numbers and Quadratic Equations
  2. Q2Let z1,z2∈Cz_1, z_2 \in \mathbb{C} be the distinct solutions of the equation z2+4z−(1+12i)=0z^2+4z-(1+12i)=0. Then ∣z1∣2+∣z2∣2|z_1|^2+|z_2|^2 is equal to :MediumComplex Numbers and Quadratic Equations
  3. Q3If f:N→Zf: \mathbf{N} \to \mathbf{Z} is defined by…HardDeterminants
  4. Q4Let M be a 3×33\times 3 matrix such that M(100)=(123)M\begin{pmatrix}1\\0\\0\end{pmatrix}=\begin{pmatrix}1\\2\\3\end{pmatrix},…MediumMatrices
  5. Q5If the sum of the first 10 terms of the series…HardSequences and Series
  6. Q6Let A1,A2,A3,……,A39A_1, A_2, A_3, \dots\dots, A_{39} be 39 arithmetic means between the numbers 59 and 159. Then the mean of A25,A28,A31A_{25}, A_{28}, A_{31} and…EasySequences and Series
  7. Q7The coefficient of x2x^2 in the expansion of (2x2+1x)10\left(2x^2+\frac{1}{x}\right)^{10}, x≠0x \neq 0, is :EasyBinomial Theorem
  8. Q8The probabilities that players A and B of a team are selected for the captaincy for a tournament are 0.6 and 0.4, respectively. If A is selected the…EasyProbability
  9. Q9A box contains 5 blue, 6 yellow and 4 red balls. The number of ways, of drawing 8 balls containing at least two balls of each colour, is :MediumPermutations and Combinations
  10. Q10A variable X takes values 0,0,2,6,12,20,…,n(n−1)0, 0, 2, 6, 12, 20, \dots, n(n-1) with frequencies…HardStatistics
  11. Q11Let the point P be the vertex of the parabola y=x2−6x+12y=x^2-6x+12. If a line passing through the point P intersects the circle x2+y2−2x−4y+3=0x^2+y^2-2x-4y+3=0 at the…HardConic Sections
  12. Q12Let the directrix of the parabola P:y2=8xP: y^2=8x, cut x-axis at the point A. Let B(α,β)B(\alpha, \beta), α>1\alpha>1, be a point on P such that the slope of…MediumConic Sections
  13. Q13Let the eccentricity e of a hyperbola satisfy the equation 6e2−11e+3=06e^2-11e+3=0. If the foci of the hyperbola are (3,5)(3, 5) and (3,−4)(3, -4), then the length…MediumConic Sections
  14. Q14Let a triangle PQR be such that P and Q lie on the line x+38=y−42=z+12\frac{x+3}{8}=\frac{y-4}{2}=\frac{z+1}{2} and are at a distance of 6 units from R…MediumThree Dimensional Geometry
  15. Q15If the distance of the point (a,2,5)(a, 2, 5) from the image of the point (1,2,7)(1, 2, 7) in the line x1=y−11=z−22\frac{x}{1}=\frac{y-1}{1}=\frac{z-2}{2} is 4, then…MediumThree Dimensional Geometry
  16. Q16Let O be the origin, OP→=a⃗\overrightarrow{OP}=\vec{a} and OQ→=b⃗\overrightarrow{OQ}=\vec{b}. If R is the point on OP→\overrightarrow{OP} such that…EasyVector Algebra
  17. Q17Let f(x)=lim⁡y→0(1−cos⁡(xy))tan⁡(xy)y3f(x)=\lim_{y\to 0}\frac{(1-\cos(xy))\tan(xy)}{y^3}. Then the number of solutions of the equation f(x)=sin⁡xf(x)=\sin x, x∈Rx \in \mathbf{R} is :MediumLimits and Derivatives
  18. Q18Let (21−a+21+a)(2^{1-a}+2^{1+a}), f(a)f(a), (3a+3−a)(3^a+3^{-a}) be in A.P. and α\alpha be the minimum value of f(a)f(a). Then the value of the integral…HardIntegrals
  19. Q19Let f:[1,∞)→Rf:[1,\infty)\to\mathbf{R} be a differentiable function defined as f(x)=∫1xf(t) dt+(1−x)(log⁡ex−1)+ef(x)=\int_1^x f(t)\,dt+(1-x)(\log_e x-1)+e. Then the value of f(f(1))f(f(1)) is :HardDifferential Equations
  20. Q20Let f(x)f(x) and g(x)g(x) be twice differentiable functions satisfying f′′(x)=g′′(x)f''(x)=g''(x) for all x∈Rx \in \mathbf{R}, f′(1)=2g′(1)=4f'(1)=2g'(1)=4 and g(2)=3f(2)=9g(2)=3f(2)=9.…MediumContinuity and Differentiability
  21. Q21Let A={1,4,7}A=\{1, 4, 7\} and B={2,3,8}B=\{2, 3, 8\}. Then the number of elements, in the relation…MediumRelations and FunctionsNumerical
  22. Q22From the point (−1,−1)(-1, -1), two rays are sent making angles of 45∘45^\circ with the line x+y=0x+y=0. These rays get reflected from the mirror x+2y=1x+2y=1.…HardStraight LinesNumerical
  23. Q23If S={θ∈[−π,π]:cos⁡θcos⁡5θ2=cos⁡7θcos⁡7θ2}S=\left\{\theta \in [-\pi, \pi] : \cos\theta\cos\frac{5\theta}{2}=\cos 7\theta\cos\frac{7\theta}{2}\right\}, then n(S) is equal to __________.HardTrigonometric FunctionsNumerical
  24. Q24Let f:R→Rf:\mathbf{R}\to\mathbf{R} be a function such that f(x)+3f(π2−x)=sin⁡xf(x)+3f\left(\frac{\pi}{2}-x\right)=\sin x, x∈Rx \in \mathbf{R}. Let the maximum value of…HardApplication of IntegralsNumerical
  25. Q25Let y=y(x)y=y(x) be the solution of the differential equation (tan⁡x)1/2 dy=(sec⁡3x−(tan⁡x)3/2 y)dx(\tan x)^{1/2}\,dy=\left(\sec^3 x-(\tan x)^{3/2}\,y\right)dx, 0<x<π20<x<\frac{\pi}{2},…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.