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Friday, 9 October

JEE Main 2026 · April session

JEE Main 2 April 2026, Shift 1

75 questions: 15 numerical-answer and 60 multiple choice. 13 were rated hard and 20 easy. By hard questions it ranks 3rd of the 9 2026 shifts Lumi analysed. The biggest chapter was Organic Chemistry: Some Basic Principles and Techniques, with 3 questions.

Questions
75
none dropped
Numerical answer
15
20% of the shift
Hard
13
17% of the shift
Chapters asked
54
7 questions with a figure

The shift at a glance

Subjects, difficulty and chapters

Physics
25 Q · 5 numerical
Easy 12Medium 13Hard 0

Top chapters

Chemistry
25 Q · 5 numerical
Easy 6Medium 15Hard 4

Top chapters

Maths
25 Q · 5 numerical
Easy 2Medium 14Hard 9

Top chapters

Question format
  • Single correct48 Q
  • Numerical value15 Q
  • Two statements5 Q
  • Match the list3 Q
  • Other2 Q
  • Diagram based2 Q
What each question asks you to do
  • Multi-step30 Q
  • Calculation25 Q
  • Application8 Q
  • Conceptual7 Q
  • Recall4 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. Q26The dimensional formula of 12ϵ0E2\frac12\epsilon_0E^2 (ϵ0\epsilon_0 = permittivity of vacuum and EE = electric field) is MaLbTc\mathrm{M^aL^bT^c}. The…EasyUnits and Measurements
  2. Q27The diameter of a wire measured by a screw gauge of least count 0.0010.001 cm is 0.080.08 cm. The length measured by a scale of least count 0.10.1 cm is…MediumUnits and Measurements
  3. Q28The velocity of a particle is given as v⃗=−xi^+2yj^−zk^\vec v=-x\hat i+2y\hat j-z\hat k m/s. The magnitude of acceleration at point (1,2,4)(1, 2, 4) is __________…MediumMotion in a Plane
  4. Q29The position of an object having mass 0.10.1 kg as a function of time tt is given as r⃗=(10t2i^+5t3j^)\vec r=\left(10t^2\hat i+5t^3\hat j\right) m. At t=1t=1 s,…MediumSystem of Particles and Rotational Motion
  5. Q30A planet (P1P_1) is moving around the star of mass 2M2M in the orbit of radius RR. Another planet (P2P_2) is moving around another star of mass…EasyGravitation
  6. Q31A particle is rotating in a circular path and at any instant its motion can be described as θ=5t440−t33\theta=\frac{5t^4}{40}-\frac{t^3}{3}. The angular…EasySystem of Particles and Rotational Motion
  7. Q32A parallel plate air capacitor has a capacitance C. When it is half filled as show in figure with a dielectric constant K=5K=5, the percentage…EasyElectrostatic Potential and Capacitance
  8. Q33Heat is supplied to a diatomic gas at constant pressure. Then the ratio of ΔQ:ΔU:ΔW\Delta Q : \Delta U : \Delta W is ______.EasyThermodynamics
  9. Q34Two charged conducting spheres S1S_1 and S2S_2 of radii 88 cm and 1818 cm are connected to each other by a wire. After equilibrium is established,…EasyElectric Charges and Fields
  10. Q35The equation of a plane progressive wave is given by y=5cos⁡π(200 t−x150)y=5\cos\pi\left(200\,t-\frac{x}{150}\right) where xx and yy are in cm and tt is in second.…EasyWaves
  11. Q36Two short electric dipoles AA and BB having dipole moment p1p_1 and p2p_2 respectively are placed with their axis mutually perpendicular as shown…MediumElectric Charges and Fields
  12. Q37For the given circuit (shown in part (A)) the time dependent input voltage vin(t)v_{in}(t) and corresponding output vo(t)v_o(t) are shown in part (B) and…MediumSemiconductor Electronics: Materials, Devices and Simple Circuits
  13. Q38When a coil is placed in a time dependent magnetic field the power dissipated in it is PP. The number of turns, area of the coil and radius of the…MediumElectromagnetic Induction
  14. Q39Two identical long current carrying wires are bent into the shapes shown in the following figures. If the magnitude of magnetic fields at the…MediumMoving Charges and Magnetism
  15. Q40For a thin symmetric prism made of glass (refractive index 1.51.5), the ratio of incident angle and minimum deviation will be _________.MediumRay Optics and Optical Instruments
  16. Q41Refer the figure given below. μ1\mu_1 and μ2\mu_2 are refractive indices of air and lens material. The height of image will be ________ cm.MediumRay Optics and Optical Instruments
  17. Q42For a certain metal, when monochromatic light of wavelength λ\lambda is incident, the stopping potential for photoelectrons is 3Vo3V_o. When the…MediumDual Nature of Radiation and Matter
  18. Q43An electromagnetic wave travelling in xx-direction is described by field equation Ey=300sin⁡ω(t−xc)E_y=300\sin\omega\left(t-\frac{x}{c}\right). If the electron is…MediumElectromagnetic Waves
  19. Q44Angular momentum of an electron in a hydrogen atom is 3hπ\frac{3h}{\pi}, then the energy of the electron is ______ eV.EasyAtoms
  20. Q45A liquid drop of diameter 22 mm breaks into 512512 droplets. The change in surface energy is α×10−6\alpha\times10^{-6} J. The value of α\alpha is…EasyMechanical Properties of Fluids
  21. Q46In single slit diffraction pattern, the wavelength of light used is 628628 nm and slit width is 0.20.2 mm, the angular width of central maximum is…EasyWave OpticsNumerical
  22. Q47A vessel contains 0.15 m30.15\ \mathrm{m^3} of a gas at pressure 88 bar and temperature 140 ∘140\ ^\circC with cp=3Rc_p=3R and cv=2Rc_v=2R. It is expanded…MediumThermodynamicsNumerical
  23. Q481 μ1\ \muC charge moving with velocity v⃗=(i^−2j^+3k^)\vec v=\left(\hat i-2\hat j+3\hat k\right) m/s in the region of magnetic field…EasyMoving Charges and MagnetismNumerical
  24. Q49A uniform wire of length ll of weight ww is suspended from the roof with a weight of WW at the other end. The stress in the wire at l3\frac{l}{3}…MediumMechanical Properties of SolidsNumerical
  25. Q50A tub is filled with water and a wooden cube 10 cm×10 cm×10 cm10\ \mathrm{cm}\times10\ \mathrm{cm}\times10\ \mathrm{cm} is placed in the water. The wooden cube is…EasyMechanical Properties of FluidsNumerical

Chemistry Q51–75

  1. Q51The mass of iron converted into Fe3O4\mathrm{Fe_3O_4} by the action of 1818 g of steam is : (Given : Molar mass of H, O and Fe are 1,161, 16 and…EasySome Basic Concepts of Chemistry
  2. Q52What is the energy (in J atom−1\mathrm{J\ atom^{-1}}) required for the following process ? Li2+(g)→Li3+(g)+e−\mathrm{Li^{2+}(g)\rightarrow Li^{3+}(g)+e^-} (Take the…EasyStructure of Atom
  3. Q53Given below are two statements : Statement (I) : The correct sequence of bond lengths in the following species is :…MediumChemical Bonding and Molecular Structure
  4. Q54Consider the following data. (i) 2Al(s)+6HCl(aq)→Al2Cl6(aq)+3H2(g)+1200\mathrm{2Al(s)+6HCl(aq)\rightarrow Al_2Cl_6(aq)+3H_2(g)}+1200 kJ/mol (ii)…HardThermodynamics (Chemistry)
  5. Q5519.519.5 g of fluoro acetic acid (molar mass =78 g mol−1=78\ \mathrm{g\ mol^{-1}}) is dissolved in 500500 g of water at 298298 K. The depression in the freezing…MediumSolutions
  6. Q56The solubility product constants of Ag2CrO4\mathrm{Ag_2CrO_4} and AgBr are 32x32x and 4y4y respectively at 298298 K. The value of…MediumEquilibrium
  7. Q57An electrochemical cell is constructed using half cells in the direction of spontaneous change…MediumElectrochemistry
  8. Q58t100%t_{100\%} is the time required for the 100%100\% completion of the reaction while t1/2t_{1/2} is the time required for 50%50\% of the reaction to be…MediumChemical Kinetics
  9. Q59Given below are two statements : Statement (I) : The first ionisation enthalpy of the elements Na, Mg, Cl and Ar follows the order Na > Mg > Cl >…MediumClassification of Elements and Periodicity in Properties
  10. Q60Given below are two statements : Statement (I) : Oxidising power of halogens decreases in the order F2>Cl2>Br2>I2\mathrm{F_2>Cl_2>Br_2>I_2}, which is the basis…MediumThe p-Block Elements
  11. Q61Which of the following sets includes all the species that will change the orange colour of K2Cr2O7\mathrm{K_2Cr_2O_7} in acidic medium ?MediumRedox Reactions
  12. Q62Match List - I with List - II. List - I : Chromium (III) Complexes (en = ethylene diamine) List - II : Δ0\Delta_0 (cm−1\mathrm{cm^{-1}}) A.…MediumCoordination Compounds
  13. Q63Given below are two statements : Statement (I) : 1,2,3-Trihydroxypropane can be separated from water by simple distillation. Statement (II) : An…MediumOrganic Chemistry: Some Basic Principles and Techniques
  14. Q64Given below are two statements : Statement (I) : Benzyl chloride reacts faster in SN1\mathrm{S_N1} mechanism than ethyl chloride. Statement (II) :…EasyHaloalkanes and Haloarenes
  15. Q65In IUPAC nomenclature, the correct order of decreasing priority of functional group is :EasyOrganic Chemistry: Some Basic Principles and Techniques
  16. Q66For the given molecule, "xx", the preferred site for the attack of the electrophile is :MediumOrganic Chemistry: Some Basic Principles and Techniques
  17. Q67Match List - I with List - II. List - I (Mixture of Compounds) : A. Diethyl amine + Ethyl amine B. Acetaldehyde + Acetone C. Ethanol + Phenol D.…MediumAmines
  18. Q68Consider the three aromatic molecules (P, Q and R) whose structures have been given below : [figure: structures P, Q, R] The correct order regarding…HardAmines
  19. Q69Match List - I with List - II. List - I (Vitamin) : A. Vitamin B1\mathrm{B_1} B. Vitamin B2\mathrm{B_2} C. Vitamin B6\mathrm{B_6} D. Vitamin C List…EasyBiomolecules
  20. Q70A salt with few drops of conc. HCl gives apple green colour in flame test. The group precipitate of the salt is dissolved in acetic acid and treated…MediumPractical Chemistry (Qualitative Analysis)
  21. Q715.335.33 g of CrCl3⋅6H2O\mathrm{CrCl_3{\cdot}6H_2O}, which is a 1:31:3 electrolyte, is dissolved in water and is passed through a cation exchanger. The…HardCoordination CompoundsNumerical
  22. Q72Consider the isomers of hydrocarbon with molecular formula C5H10\mathrm{C_5H_{10}}. These isomers do not decolourise KMnO4\mathrm{KMnO_4} solution. These…HardHydrocarbonsNumerical
  23. Q73One mole of an alkane (x) requires 88 mole oxygen for complete combustion. Sum of number of carbon and hydrogen atoms in the alkane (x) is…EasyHydrocarbonsNumerical
  24. Q74For reaction A→P\mathrm{A\rightarrow P}, rate constant k=1.5×103 s−1k=1.5\times10^3\ \mathrm{s^{-1}} at 27∘27^\circC If activation energy for the above reaction…MediumChemical KineticsNumerical
  25. Q75At the transition temperature TT, A⇌B\mathrm{A\rightleftharpoons B} and ΔG0=105−35log⁡T\Delta G^0=105-35\log T where A and B are two states of substance X. The…MediumThermodynamics (Chemistry)Numerical

Maths Q1–25

  1. Q1Let α,α+2,α∈Z\alpha, \alpha+2, \alpha \in \mathbb{Z}, be the roots of the quadratic equation x(x+2)+(x+1)(x+3)+(x+2)(x+4)+…+(x+n−1)(x+n+1)=4nx(x+2)+(x+1)(x+3)+(x+2)(x+4)+\ldots+(x+n-1)(x+n+1)=4n for…HardComplex Numbers and Quadratic Equations
  2. Q2Let xx and yy be real numbers such that 50(2x1+3i−y1−2i)=31+17i50\left(\frac{2x}{1+3i}-\frac{y}{1-2i}\right)=31+17i, i=−1i=\sqrt{-1}. Then the value of 10(x−3y)10(x-3y) is :EasyComplex Numbers and Quadratic Equations
  3. Q3Let α,β∈R\alpha, \beta \in \mathbf{R} be such that the system of linear equations x+2y+z=5x+2y+z=5 2x+y+αz=52x+y+\alpha z=5 8x+4y+βz=188x+4y+\beta z=18 has no solution. Then…MediumDeterminants
  4. Q4Let A=[121α]A=\begin{bmatrix}1&2\\1&\alpha\end{bmatrix} and B=[33β2]B=\begin{bmatrix}3&3\\\beta&2\end{bmatrix}. If A2−4A+I=OA^2-4A+I=O and B2−5B−6I=OB^2-5B-6I=O, then among…HardMatrices
  5. Q5Let AA be the set of first 101101 terms of an A.P., whose first term is 11 and the common difference is 55 and let BB be the set of first 7171…MediumSequences and Series
  6. Q6The number of seven-digit numbers, that can be formed by using the digits 1,2,3,51, 2, 3, 5 and 77 such that each digit is used at least once, is :MediumPermutations and Combinations
  7. Q7The number of elements in the set…MediumBinomial Theorem
  8. Q8If the mean of the data | Class | 5-10 | 10-15 | 15-20 | 20-25 | 25-30 | 30-35 | | Frequency | 2 | kk | 28 | 54 | k+1k+1 | 5 | is 2121, then kk is…MediumStatistics
  9. Q9Let the mid points of the sides of a triangle ABC be (52,7)\left(\frac{5}{2}, 7\right), (52,3)\left(\frac{5}{2}, 3\right) and (4,5)(4, 5). If its incentre is…MediumStraight Lines
  10. Q10Let an ellipse x2a2+y2b2=1\frac{x^2}{a^2}+\frac{y^2}{b^2}=1, a<ba<b, pass through the point (4,3)(4, 3) and have eccentricity 53\frac{\sqrt5}{3}. Then the length…MediumConic Sections
  11. Q11If sin⁡(π18)sin⁡(5π18)sin⁡(7π18)=K\sin\left(\frac{\pi}{18}\right)\sin\left(\frac{5\pi}{18}\right)\sin\left(\frac{7\pi}{18}\right)=K, then the value of…MediumTrigonometric Functions
  12. Q12Let S={x∈[−π,π]:sin⁡x(sin⁡x+cos⁡x)=a,a∈Z}S=\{x \in [-\pi, \pi] : \sin x(\sin x+\cos x)=a, a \in \mathbb{Z}\}. Then n(S)n(S) is equal to :HardTrigonometric Functions
  13. Q13If the point of intersection of the lines x+13=y+a5=z+b+17\frac{x+1}{3}=\frac{y+a}{5}=\frac{z+b+1}{7} and x−21=y−b4=z−2a7\frac{x-2}{1}=\frac{y-b}{4}=\frac{z-2a}{7} lies on…MediumThree Dimensional Geometry
  14. Q14If a⃗\vec a and b⃗\vec b are two vectors such that ∣a⃗∣=2|\vec a|=2 and ∣b⃗∣=3|\vec b|=3, then the maximum value of…HardVector Algebra
  15. Q15Let a line L passing through the point (1,1,1)(1, 1, 1) be perpendicular to both the vectors 2i^+2j^+k^2\hat i+2\hat j+\hat k and i^+2j^+2k^\hat i+2\hat j+2\hat k. If…MediumThree Dimensional Geometry
  16. Q16If lim⁡x→2sin⁡(x3−5x2+ax+b)(x−1−1)log⁡e(x−1)=m\lim_{x\to2}\frac{\sin\left(x^3-5x^2+ax+b\right)}{\left(\sqrt{x-1}-1\right)\log_e(x-1)}=m, then a+b+ma+b+m is equal to :HardContinuity and Differentiability
  17. Q17If the curve y=f(x)y=f(x) passes through the point (1,e)(1, e) and satisfies the differential equation dy=y(2+log⁡ex) dxdy=y(2+\log_e x)\,dx, x>0x>0, then f(e)f(e) is equal…EasyDifferential Equations
  18. Q18The number of critical points of the function f(x)={∣sin⁡xx∣,x≠01,x=0f(x)=\begin{cases}\left|\frac{\sin x}{x}\right|, & x\neq0\\ 1, & x=0\end{cases} in the interval…HardApplication of Derivatives
  19. Q19Let [⋅][\cdot] denote the greatest integer function. Then the value of ∫03(ex+e−x[x]!)dx\int_0^3\left(\frac{e^x+e^{-x}}{[x]!}\right)dx is :MediumIntegrals
  20. Q20Let y=y(x)y=y(x) be the solution curve of the differential equation (1+sin⁡x)dydx+(y+1)cos⁡x=0(1+\sin x)\frac{dy}{dx}+(y+1)\cos x=0, y(0)=0y(0)=0. If the curve y=y(x)y=y(x) passes…MediumDifferential Equations
  21. Q21If the domain of the function f(x)=log⁡(0.6)(∣2x−5x2−4∣)f(x)=\sqrt{\log_{(0.6)}\left(\left|\frac{2x-5}{x^2-4}\right|\right)} is…HardRelations and FunctionsNumerical
  22. Q22If ∑k=1nak=6n3\sum_{k=1}^{n}a_k=6n^3, then ∑k=16(ak+1−ak36)2\sum_{k=1}^{6}\left(\frac{a_{k+1}-a_k}{36}\right)^2 is equal to __________.MediumSequences and SeriesNumerical
  23. Q23Let a,b,c∈{1,2,3,4}a, b, c \in \{1, 2, 3, 4\}. If the probability, that ax2+22 bx+c>0ax^2+2\sqrt2\,bx+c>0 for all x∈Rx \in \mathbf{R}, is mn\frac{m}{n}, gcd⁡(m,n)=1\gcd(m, n)=1, then…MediumProbabilityNumerical
  24. Q24Let a circle C have its centre in the first quadrant, intersect the coordinate axes at exactly three points and cut off equal intercepts from the…HardConic SectionsNumerical
  25. Q25If α=∫023log⁡2(x2+4)dx+∫242x−4 dx\alpha=\int_0^{2\sqrt3}\log_2\left(x^2+4\right)dx+\int_2^4\sqrt{2^x-4}\,dx, then α2\alpha^2 is equal to __________.HardIntegralsNumerical

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.