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Friday, 9 October

JEE Main 2026 · April session

JEE Main 2 April 2026, Shift 2

75 questions: 15 numerical-answer and 60 multiple choice. 6 were rated hard and 13 easy. By hard questions it ranks 9th of the 9 2026 shifts Lumi analysed. The biggest chapter was Conic Sections, with 4 questions.

Questions
75
none dropped
Numerical answer
15
20% of the shift
Hard
6
8% of the shift
Chapters asked
54
6 questions with a figure

The shift at a glance

Subjects, difficulty and chapters

Physics
25 Q · 5 numerical
Easy 6Medium 17Hard 2

Top chapters

Chemistry
25 Q · 5 numerical
Easy 4Medium 19Hard 2

Top chapters

Maths
25 Q · 5 numerical
Easy 3Medium 20Hard 2

Top chapters

Question format
  • Single correct59 Q
  • Numerical value15 Q
  • Diagram based1 Q
What each question asks you to do
  • Multi-step35 Q
  • Calculation20 Q
  • Application12 Q
  • Recall5 Q
  • Conceptual2 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. Q26Dimensions of universal gravitational constant (G) in terms of Planck's constant (h), distance (L), mass (M) and time (T) areMediumUnits and Measurements
  2. Q27A 0.5 kg mass is in contact against the inner wall of a cylindrical drum of radius 4 m rotating about its vertical axis. The minimum rotational…EasyLaws of Motion
  3. Q28Two blocks of masses 2 kg and 1 kg respectively, are tied to the ends of a string which passes over a light frictionless pulley as shown in the…MediumLaws of Motion
  4. Q29A particle having charge 10−910^{-9} C moving in xx-yy plane in fields of 0.4j^0.4\hat{j} N/C and 4×10−3k^4 \times 10^{-3}\hat{k} T experiences a force of…MediumMoving Charges and Magnetism
  5. Q30If X and Y are the inputs, the given circuit works asMediumSemiconductor Electronics: Materials, Devices and Simple Circuits
  6. Q31If a body of mass 1 kg falls on the earth from infinity, it attains velocity (v) and kinetic energy (k) on reaching the surface of earth. The values…MediumGravitation
  7. Q32In a screw gauge the zero of main scale reference line coincides with the fifth division of the circular scale when two studs are in contact. There…EasyUnits and Measurements
  8. Q33The surface tension of a soap bubble is 0.03 N/m. The work done in increasing the diameter of bubble from 2 cm to 6 cm is σ×10−4\sigma \times 10^{-4} J.…EasyMechanical Properties of Fluids
  9. Q34A mixture of carbon dioxide and oxygen has volume 8310 cm3^3, temperature 300 K, pressure 100 kPa and mass 13.2 g. The number of moles of carbon…MediumKinetic Theory
  10. Q35If an air bubble of diameter 2 mm rises steadily through a liquid of density 2000 kg/m3^3 at a rate of 0.5 cm/s, then the coefficient of viscosity…MediumMechanical Properties of Fluids
  11. Q36A spherical ball of mass 2 kg falls from a height of 10 m and is brought to rest after penetrating 10 cm into sand. The average force exerted by…EasyWork, Energy and Power
  12. Q37An electromagnetic wave travels in free space along the xx-direction. At a particular point in space and time, B⃗=2×10−7j^\vec{B} = 2 \times 10^{-7}\hat{j}…MediumElectromagnetic Waves
  13. Q38Two resistors of 200 Ω\Omega and 400 Ω\Omega are connected in series with a battery of 100 V. A bulb rated at 200 V, 100 W is connected across the…MediumCurrent Electricity
  14. Q39Two metal plates (A, B) are kept horizontally with separation of (12π)\left(\frac{12}{\pi}\right) cm, with plate A on the top. An atomizer jet sprays…MediumElectrostatic Potential and Capacitance
  15. Q40Two point charges 8 μ\muC and −2-2 μ\muC are located at x=2x = 2 cm and x=4x = 4 cm, respectively on the xx-axis. The ratio of electric flux due to…EasyElectric Charges and Fields
  16. Q41One side of an equilateral prism is painted by a transparent material of refractive index n2n_2. The refractive index of prism is 1.6. The minimum…MediumRay Optics and Optical Instruments
  17. Q42The figure given below shows an LCR series circuit with two switches S1S_1 and S2S_2. When switch S1S_1 is closed keeping S2S_2 open, the phase…HardAlternating Current
  18. Q43A circular current loop of radius R is placed inside square loop of side length L (L >> R) such that they are co-planar and their centers coincide.…HardElectromagnetic Induction
  19. Q44The binding energy per nucleon of 20983Bi\frac{209}{83}Bi isMediumNuclei
  20. Q45The equation of motion of a particle is given by x=asin⁡(50t+π3)x = a\sin\left(50t + \frac{\pi}{3}\right) cm. The particle will come to rest at time t1t_1 and it…MediumOscillations
  21. Q46In a Young's double slit experiment, the intensity at some point on the screen is found to be 34\frac{3}{4} times of the maximum of the interference…MediumWave OpticsNumerical
  22. Q47Using Bohr's model, calculate the ratio of the magnetic fields generated due to the motion of the electrons in the 2nd and 4th orbits of hydrogen atomMediumAtomsNumerical
  23. Q485 moles of unknown gas is heated at constant volume from 10°C to 20°C. The molar specific heat of this gas at constant pressure cp=8c_p = 8 cal/mol.…MediumThermodynamicsNumerical
  24. Q49If sunlight is focused on a paper using convex lens, it starts burning the paper in shortest time when the lens is kept at 30 cm above the paper. If…EasyRay Optics and Optical InstrumentsNumerical
  25. Q50Moment of inertia about an axis ABAB for a rod of mass 40 kg and length 3 m is same as that of a solid sphere of mass of 10 kg and radius RR about…MediumSystem of Particles and Rotational MotionNumerical

Chemistry Q51–75

  1. Q51The ratio of mass percentage (w/w) of C : H in a hydrocarbon is 12 : 1. It has two carbon atoms. The weight (in g) of CO2(g)CO_2(g) formed when 3.38 g…MediumSome Basic Concepts of Chemistry
  2. Q52The first and second ionization constants of a weak dibasic acid H2A\mathrm{H_2A} are 8.1×10−88.1 \times 10^{-8} and 1.0×10−131.0 \times 10^{-13} respectively.…HardEquilibrium
  3. Q53SF4SF_4 is isostructural with: A. BrF4⊕BrF_4^{\oplus} B. CH4CH_4 C. IF4⊕IF_4^{\oplus} D. XeF4XeF_4 E. XeO2F2XeO_2F_2 Choose the correct answer from the options…MediumThe p-Block Elements
  4. Q54Gas 'A' undergoes change from state 'X' to state 'Y'. In this process, the heat absorbed and work done by the gas is 10 J and 18 J respectively. Now…MediumThermodynamics (Chemistry)
  5. Q55Solution A is prepared by dissolving 1 g of a protein (molar mass = 50000 g mol−1^{-1}) in 0.5 L of water at 300 K. Its osmotic pressure is xx bar.…EasySolutions
  6. Q56At 25°C, 20.0 mL of 0.2 M weak monoprotic acid HX is titrated against 0.2 M NaOH. The pH of the solution (a) at the start of the titration (when…MediumEquilibrium
  7. Q57Consider the reaction aX→bYaX \to bY, for which the rate constant at 30°C is 1×10−31 \times 10^{-3} mol−1^{-1}Ls−1s^{-1}. Which of the following statements…MediumChemical Kinetics
  8. Q58The correct set that contains all kinds (basic, acidic, amphoteric and neutral) of oxides is:MediumThe p-Block Elements
  9. Q59Given below are two statements: Statement I: The second ionization enthalpy of B, Al and Ga is in the order of B > Al > Ga. Statement II: The…MediumThe p-Block Elements
  10. Q60Given below are two statements: Statement I: Among Zn, Mn, Sc and Cu, the energy required to remove the third valence electron is highest for Zn and…MediumThe d- and f-Block Elements
  11. Q61Which of the following complexes will show coordination isomerism? A. [Ag(NH3)2][Ag(CN)2][Ag(NH_3)_2][Ag(CN)_2] B. [Co(NH3)6][Cr(CN)6][Co(NH_3)_6][Cr(CN)_6] C.…MediumCoordination Compounds
  12. Q62Complete combustion of X g of an organic compound gave 0.25 g of CO2CO_2 and 0.12 g of H2OH_2O. If the % of carbon is 25% and of hydrogen is 4.89%,…MediumSome Basic Concepts of Chemistry
  13. Q63Given below are two statements: Statement I: In…MediumOrganic Chemistry: Some Basic Principles and Techniques
  14. Q64The compound (X) on heating in the presence of anhydrous AlCl3_3 and HCl gas gives 2,4-dimethyl pentane (ii) aromatization gives toluene and (iii)…EasyHydrocarbons
  15. Q65Correct statements regarding alkyl halides (R - X) among the following are: A. Alcohol being less polar solvent as compared to water, alcoholic KOH…MediumHaloalkanes and Haloarenes
  16. Q66An organic compound 'x' where molar ratio of C, O and H are equal, on treatment with 50% KOH under reflux followed by acidification produced 'y'.…MediumAldehydes, Ketones and Carboxylic Acids
  17. Q67A molecule (X) with following structure under mild acidic condition is hydrolysed to produce (Y) and (Z). Identify the correct statements about (Y)…MediumAldehydes, Ketones and Carboxylic Acids
  18. Q68Identify compounds A and E in the following reaction sequence.…MediumAmines
  19. Q69Identify the correct pair having amino acid (A) and the hormone (B) that is iodinated derivative of the amino acid (A). (T and Y represent one…EasyBiomolecules
  20. Q70Among Fe2+^{2+}, Fe3+^{3+}, Cr2+^{2+} and Zn2+^{2+}, the ion that shows positive borax bead test and with highest ionisation enthalpy is:MediumThe d- and f-Block Elements
  21. Q71The surface of sodium metal is irradiated with radiation of wavelength xx nm. The kinetic energy of ejected electrons is 2.8×10−202.8 \times 10^{-20} J.…EasyStructure of AtomNumerical
  22. Q72Consider the following gas phase reaction being carried out in a closed vessel at 25°C. 2A(g)⟶4B(g)+C(g)2A(g) \longrightarrow 4B(g) + C(g) | time (min) | total…MediumEquilibriumNumerical
  23. Q73Consider the following two half-cell reactions along with the standard reduction potential given: CO2+6H++6e−⟶CH3OH+H2OCO_2 + 6H^+ + 6e^- \longrightarrow CH_3OH + H_2O…HardElectrochemistryNumerical
  24. Q74Number of paramagnetic ions among the following d- and f-block metal ions is __________.…MediumThe d- and f-Block ElementsNumerical
  25. Q75Consider the following reactions sequence…MediumHaloalkanes and HaloarenesNumerical

Maths Q1–25

  1. Q1Let α,β\alpha, \beta be the roots of the equation x2−3x+r=0x^2 - 3x + r = 0, and α2,2β\frac{\alpha}{2}, 2\beta be the roots of the equation x2+3x+r=0x^2 + 3x + r = 0.…MediumComplex Numbers and Quadratic Equations
  2. Q2Let the circles C1:∣z∣=rC_1: |z| = r and C2:∣z−3−4i∣=5,z∈CeC_2: |z - 3 - 4i| = 5, z \in \mathbb{C}_e be such that C2C_2 lies within C1C_1. If z1z_1 moves on C1C_1, z2z_2…MediumComplex Numbers and Quadratic Equations
  3. Q3If the system of equations x+5y+6z=4,x + 5y + 6z = 4, 2x+3y+4z=7,2x + 3y + 4z = 7, x+6y+az=bx + 6y + az = b has infinitely many solutions, then the point (a,b)(a, b) lies on…MediumMatrices
  4. Q4Let a1,a2,a3,…a_1, a_2, a_3, \ldots be an A.P. and g1,g2,g3,…g_1, g_2, g_3, \ldots be an increasing G.P. If a1=a2+g2=1a_1 = a_2 + g_2 = 1 and a3+g3=4a_3 + g_3 = 4, then…MediumSequences and Series
  5. Q5The sum 131+13+231+3+13+23+331+3+5+…\frac{1^3}{1} + \frac{1^3 + 2^3}{1 + 3} + \frac{1^3 + 2^3 + 3^3}{1 + 3 + 5} + \ldots up to 8 terms, is:MediumSequences and Series
  6. Q6If for 3≤r≤303 \le r \le 30, (30C30−r)+3(30C31−r)+3(30C32−r)+(30C33−r)=mCr\binom{30}{C_{30-r}} + 3\binom{30}{C_{31-r}} + 3\binom{30}{C_{32-r}} + \binom{30}{C_{33-r}} = ^m C_r, then mm equals:MediumBinomial Theorem
  7. Q7Let pnp_n denote the total number of triangles formed by joining the vertices of an nn-side regular polygon. If pn+1−pn=66p_{n+1} - p_n = 66, then the sum…EasyPermutations and Combinations
  8. Q8A man throws a fair coin repeatedly. He gets 10 points for each head he throws and 5 points for each tail he throws. If the probability that he gets…MediumProbability
  9. Q9The mean and variance of nn observations are 8 and 16, respectively. If the sum of the first (n−1)(n - 1) observations is 48 and the sum of squares of…EasyStatistics
  10. Q10Let a circle pass through the origin and its centre be the point of intersection of two mutually perpendicular lines x+(k−1)y+3=0x + (k - 1)y + 3 = 0 and…MediumConic Sections
  11. Q11Let OO be the origin, and PP and QQ be two points on the rectangular hyperbola xy=12xy = 12 such that the midpoint of the line segment PQPQ is…MediumConic Sections
  12. Q12Let the parabola y=x2+px+qy = x^2 + px + q passing through the point (1,−1)(1, -1) be such that the distance between its vertex and the xx-axis is minimum.…MediumConic Sections
  13. Q13Let P={θ∈[0,4π]:tan⁡2θ≠1}P = \{\theta \in [0, 4\pi]: \tan^2\theta \ne 1\} and…MediumTrigonometric Functions
  14. Q14Let the vectors a⃗=−i^+j^+3k^\vec{a} = -\hat{i} + \hat{j} + 3\hat{k} and b⃗=i^+3j^+k^\vec{b} = \hat{i} + 3\hat{j} + \hat{k}. For some λ,μ∈R\lambda, \mu \in \mathbb{R}, let…MediumVector Algebra
  15. Q15Let the point AA be the foot of perpendicular drawn from the point P(a,b,0)P(a, b, 0) on the line x−12=y−21=z−α3\frac{x-1}{2} = \frac{y-2}{1} = \frac{z-\alpha}{3}.…MediumThree Dimensional Geometry
  16. Q16Two adjacent sides of a parallelogram PQRSPQRS are given by PQ⃗=j^+k^\vec{PQ} = \hat{j} + \hat{k} and PS⃗=i^−j^\vec{PS} = \hat{i} - \hat{j}. If the side PSPS is…MediumTrigonometric Functions
  17. Q17The value of ∫020π(sin⁡4x+cos⁡4x)dx\int_0^{20\pi} (\sin^4 x + \cos^4 x)dx is equal to:EasyIntegrals
  18. Q18Let f(x)f(x) be a polynomial of degree 5, and have extrema at x=1x = 1 and x=−1x = -1. If lim⁡x→0(f(x)x3)=−5\lim_{x \to 0}\left(\frac{f(x)}{x^3}\right) = -5, then…MediumApplication of Derivatives
  19. Q19Let f(x)=∫16x+24x2+2x−15dxf(x) = \int\frac{16x + 24}{x^2 + 2x - 15}dx. If f(4)=14log⁡6(3)f(4) = 14\log_6(3) and…MediumIntegrals
  20. Q20Let x=x(y)x = x(y) be the solution of the differential equation 2y2dxdy−2xy+x2=0,y>1,x(e)=e2y^2\frac{dx}{dy} - 2xy + x^2 = 0, y > 1, x(e) = e. Then x(e2)x(e^2) is equal to:MediumDifferential Equations
  21. Q21Let A={2,3,4,5,6}A = \{2, 3, 4, 5, 6\}. Let RR be a relation on the set A×AA \times A given by (x,y)R(z,w)(x, y)R(z, w) if and only if xx divides zz and y∣zwy|z w. Then…MediumRelations and FunctionsNumerical
  22. Q22Consider the matrices A=[2−24−2]A = \begin{bmatrix} 2 & -2 \\ 4 & -2 \end{bmatrix} and B=[−3913]B = \begin{bmatrix} -3 & 9 \\ 1 & 3 \end{bmatrix}. If matrices PP…MediumMatricesNumerical
  23. Q23Let AA be the point (3,0)(3, 0) and circles with variable diameter ABAB touch the circle x2+y2=36x^2 + y^2 = 36 internally. Let the curve CC be the locus…HardConic SectionsNumerical
  24. Q24If the area of the region bounded by 16x2−9y2=14416x^2 - 9y^2 = 144 and 8x−3y=248x - 3y = 24 is AA, then 3(A+6log⁡e(3))3(A + 6\log_e(3)) is equal toHardApplication of IntegralsNumerical
  25. Q25The number of points in the interval [2,4][2, 4], at which the function f(x)=x2−x−1⌊x⌋−12f(x) = x^2 - x - \frac{1}{\lfloor x \rfloor - \frac{1}{2}}, where [⋅][\cdot]…MediumContinuity and DifferentiabilityNumerical

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.