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Friday, 9 October

JEE Main 2024 · January session

JEE Main 29 January 2024, Shift 1

89 questions (1 more dropped by NTA): 30 numerical-answer and 59 multiple choice. 9 were rated hard and 34 easy. By hard questions it ranks 6th of the 8 2024 shifts Lumi analysed. The biggest chapter was Organic Chemistry: Some Basic Principles and Techniques, with 4 questions.

Questions
89
1 dropped by NTA
Numerical answer
30
34% of the shift
Hard
9
10% of the shift
Chapters asked
63
7 questions with a figure

The shift at a glance

Subjects, difficulty and chapters

Physics
29 Q · 10 numerical
Easy 16Medium 12Hard 1

Top chapters

Chemistry
30 Q · 10 numerical
Easy 16Medium 14Hard 0

Top chapters

Maths
30 Q · 10 numerical
Easy 2Medium 20Hard 8

Top chapters

Question format
  • Single correct47 Q
  • Numerical value30 Q
  • Diagram based5 Q
  • Two statements3 Q
  • Match the list2 Q
  • Assertion–reason2 Q
What each question asks you to do
  • Multi-step30 Q
  • Calculation29 Q
  • Application11 Q
  • Recall10 Q
  • Conceptual7 Q
  • Data or graph1 Q
  • Diagram reading1 Q

Most common: Multi-step.

Every question

All 90 questions, with answers

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

Physics Q31–60

  1. Q31The resistance R=VIR=\frac{V}{I} where V=(200±5)V=(200\pm5) V and I=(20±0.2)I=(20\pm0.2) A, the percentage error in the measurement of R is :EasyUnits and Measurements
  2. Q32A body starts moving from rest with constant acceleration covers displacement S1S_1 in first (p−1)(p-1) seconds and S2S_2 in first pp seconds. The…MediumMotion in a Straight Line
  3. Q33If the radius of curvature of the path of two particles of same mass are in the ratio 3:4, then in order to have constant centripetal force, their…EasyMotion in a Plane
  4. Q34A block of mass 100 kg slides over a distance of 10 m on a horizontal surface. If the co-efficient of friction between the surfaces is 0.4, then the…EasyWork, Energy and Power
  5. Q35The potential energy function (in J) of a particle in a region of space is given as U=(2x2+3y3+2z)U=(2x^2+3y^3+2z). Here xx, yy and zz are in meter. The…EasyWork, Energy and Power
  6. Q36At what distance above and below the surface of the earth a body will have same weight. (take radius of earth as RR.)MediumGravitation
  7. Q37Given below are two statements: Statement I : If a capillary tube is immersed first in cold water and then in hot water, the height of capillary…EasyMechanical Properties of Fluids
  8. Q38A thermodynamic system is taken from an original state A to an intermediate state B by a linear process as shown in the figure. It's volume is then…EasyThermodynamicsDropped
  9. Q39Two vessels A and B are of the same size and are at same temperature. A contains 1g of hydrogen and B contains 1g of oxygen. PAP_A and PBP_B are the…EasyKinetic Theory
  10. Q40Two charges of 5Q5Q and −2Q-2Q are situated at the points (3a,0)(3a, 0) and (−5a,0)(-5a, 0) respectively. The electric flux through a sphere of radius '4a4a'…EasyElectric Charges and Fields
  11. Q41The electric current through a wire varies with time as I=I0+βtI=I_0+\beta t, where I0=20I_0=20 A and β=3\beta=3 A/s. The amount of electric charge crossed…EasyCurrent Electricity
  12. Q42A galvanometer having coil resistance 10 Ω10\,\Omega shows a full scale deflection for a current of 3mA. For it to measure a current of 8A, the value…EasyMoving Charges and Magnetism
  13. Q43A capacitor of capacitance 100 μ100\ \muF is charged to a potential of 12 V and connected to a 6.4 mH inductor to produce oscillations. The maximum…EasyAlternating Current
  14. Q44Match List I with List II LIST I A. ∮B⃗⋅dl⃗=μoic+μoεodϕEdt\oint\vec{B}\cdot d\vec{l}=\mu_o i_c+\mu_o\varepsilon_o\frac{d\phi_E}{dt} B.…EasyElectromagnetic Waves
  15. Q45A biconvex lens of refractive index 1.5 has a focal length of 20 cm in air. Its focal length when immersed in a liquid of refractive index 1.6 will…MediumRay Optics and Optical Instruments
  16. Q46The de-Broglie wavelength of an electron is the same as that of a photon. If velocity of electron is 25% of the velocity of light, then the ratio of…MediumDual Nature of Radiation and Matter
  17. Q47The explosive in a Hydrogen bomb is a mixture of 1H2{}_1\mathrm{H}^2, 1H3{}_1\mathrm{H}^3 and 3Li6{}_3\mathrm{Li}^6 in some condensed form. The chain…MediumNuclei
  18. Q48In the given circuit, the breakdown voltage of the Zener diode is 3.0 V. What is the value of IzI_z?MediumSemiconductor Electronics: Materials, Devices and Simple Circuits
  19. Q49A convex mirror of radius of curvature 30 cm forms an image that is half the size of the object. The object distance is :EasyRay Optics and Optical Instruments
  20. Q50The deflection in moving coil galvanometer falls from 25 divisions to 5 division when a shunt of 24 Ω24\,\Omega is applied. The resistance of…MediumMoving Charges and Magnetism
  21. Q51A ball rolls off the top of a stairway with horizontal velocity uu. The steps are 0.1 m high and 0.1 m wide. The minimum velocity uu with which…MediumMotion in a PlaneNumerical
  22. Q52A cylinder is rolling down on an inclined plane of inclination 60∘60^\circ. It's acceleration during rolling down will be…MediumSystem of Particles and Rotational MotionNumerical
  23. Q53In a test experiment on a model aeroplane in wind tunnel, the flow speeds on the upper and lower surfaces of the wings are 70 ms−170\ \mathrm{ms^{-1}}…EasyMechanical Properties of FluidsNumerical
  24. Q54When the displacement of a simple harmonic oscillator is one third of its amplitude, the ratio of total energy to the kinetic energy is…EasyOscillationsNumerical
  25. Q55An electron is moving under the influence of the electric field of a uniformly charged infinite plane sheet S having surface charge density…HardElectric Charges and FieldsNumerical
  26. Q56A 16 Ω16\,\Omega wire is bend to form a square loop. A 9V battery with internal resistance 1 Ω1\,\Omega is connected across one of its sides. If a…MediumCurrent ElectricityNumerical
  27. Q57The magnetic potential due to a magnetic dipole at a point on its axis situated at a distance of 20 cm from its center is 1.5×10−5 T m1.5\times10^{-5}\ T\,m.…EasyMagnetism and MatterNumerical
  28. Q58A square loop of side 10 cm and resistance 0.7 Ω0.7\,\Omega is placed vertically in east-west plane. A uniform magnetic field of 0.20 T0.20\ T is set up…EasyElectromagnetic InductionNumerical
  29. Q59In a double slit experiment shown in figure, when light of wavelength 400 nm is used, dark fringe is observed at PP. If D=0.2 m, the minimum…MediumWave OpticsNumerical
  30. Q60When a hydrogen atom going from nn=2 to nn=1 emits a photon, its recoil speed is x5 m/s\frac{x}{5}\ m/s. Where xx = ______. (Use, mass of hydrogen…MediumAtomsNumerical

Chemistry Q61–90

  1. Q61The correct set of four quantum numbers for the valence electron of rubidium atom (Z = 37) is :EasyStructure of Atom
  2. Q62Which of the following is not correct?EasyThermodynamics (Chemistry)
  3. Q63Chlorine undergoes disproportionation in alkaline medium as shown below :…EasyRedox Reactions
  4. Q64Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R : Assertion A : The first ionisation enthalpy…EasyClassification of Elements and Periodicity in Properties
  5. Q65Identify the incorrect pair from the following :EasyGeneral Principles and Processes of Isolation of Elements
  6. Q66Given below are two statements : Statement I : The electronegativity of group 14 elements from Si to Pb, gradually decreases. Statement II : Group…MediumThe p-Block Elements
  7. Q67KMnO4\mathrm{KMnO_4} decomposes on heating at 513K to form O2\mathrm{O_2} along withEasyThe d- and f-Block Elements
  8. Q68In alkaline medium, MnO4−\mathrm{MnO_4^-} oxidises I−\mathrm{I^-} toMediumThe d- and f-Block Elements
  9. Q69In which one of the following metal carbonyls, CO forms a bridge between metal atoms?MediumCoordination Compounds
  10. Q70Match List I with List II LIST I (Substances) A. Ziegler catalyst B. Blood Pigment C. Wilkinson catalyst D. Vitamin B12\mathrm{B_{12}} LIST II…EasyCoordination Compounds
  11. Q71Appearance of blood red colour, on treatment of the sodium fusion extract of an organic compound with FeSO4\mathrm{FeSO_4} in presence of concentrated…MediumOrganic Chemistry: Some Basic Principles and Techniques
  12. Q72The interaction between π\pi bond and lone pair of electrons present on an adjacent atom is responsible forEasyOrganic Chemistry: Some Basic Principles and Techniques
  13. Q73The difference in energy between the actual structure and the lowest energy resonance structure for the given compound isEasyOrganic Chemistry: Some Basic Principles and Techniques
  14. Q74Identify product A and product B :MediumHydrocarbons
  15. Q75Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R : Assertion A : Aryl halides cannot be…MediumHaloalkanes and Haloarenes
  16. Q76The final product A formed in the following multistep reaction sequence isMediumAldehydes, Ketones and Carboxylic Acids
  17. Q77The major product (P) in the following reaction isMediumAlcohols, Phenols and Ethers
  18. Q78Type of amino acids obtained by hydrolysis of proteins is :EasyBiomolecules
  19. Q79In chromyl chloride test for confirmation of Cl−\mathrm{Cl^-} ion, a yellow solution is obtained. Acidification of the solution and addition of amyl…MediumRedox Reactions
  20. Q80The arenium ion which is not involved in the bromination of Aniline is ________.MediumAmines
  21. Q81A solution of H2SO4\mathrm{H_2SO_4} is 31.4% H2SO4\mathrm{H_2SO_4} by mass and has a density of 1.25g/mL. The molarity of the H2SO4\mathrm{H_2SO_4} solution…EasySome Basic Concepts of ChemistryNumerical
  22. Q82The number of species from the following which are paramagnetic and with bond order equal to one is ________.…MediumChemical Bonding and Molecular StructureNumerical
  23. Q83Number of compounds with one lone pair of electrons on central atom amongst following is ________…MediumChemical Bonding and Molecular StructureNumerical
  24. Q84The osmotic pressure of a dilute solution is 7×1057\times10^{5} Pa at 273K. Osmotic pressure of the same solution at 283K is ________ ×104\times10^{4}…EasySolutionsNumerical
  25. Q85For the reaction N2O4(g)⇌2NO2(g)\mathrm{N_2O_{4(g)} \rightleftharpoons 2NO_{2(g)}}, Kp\mathrm{K_p}= 0.492 atm at 300K. Kc\mathrm{K_c} for the reaction at same…EasyEquilibriumNumerical
  26. Q86The mass of zinc produced by the electrolysis of zinc sulphate solution with a steady current of 0.015 A for 15 minutes is ________ ×10−4\times10^{-4}…EasyElectrochemistryNumerical
  27. Q87For a reaction taking place in three steps at same temperature, overall rate constant K=K1K2K3K=\frac{K_1K_2}{K_3}. If Ea1Ea_1, Ea2Ea_2 and Ea3Ea_3 are 40,…MediumChemical KineticsNumerical
  28. Q88Number of compounds among the following which contain sulphur as heteroatom is ________. Furan, Thiophene, Pyridine, Pyrrole, Cysteine, TyrosineEasyOrganic Chemistry: Some Basic Principles and TechniquesNumerical
  29. Q89[figure: trans-2-butene drawn as CH3_3 and H on the left carbon, H and CH3_3 on the right carbon (CH3_3 top-left, H bottom-left, H top-right,…EasyHydrocarbonsNumerical
  30. Q90From the compounds given below, number of compounds which give positive Fehling's test is ________. Benzaldehyde, Acetaldehyde, Acetone,…MediumAldehydes, Ketones and Carboxylic AcidsNumerical

Maths Q1–30

  1. Q1If f(x)={2+2x,−1≤x<01−x3,0≤x≤3f(x)=\begin{cases}2+2x, & -1\leq x<0\\ 1-\frac{x}{3}, & 0\leq x\leq 3\end{cases} ;…MediumRelations and Functions
  2. Q2Let R be a relation on Z×Z\mathbb{Z}\times\mathbb{Z} defined by (a,b) R (c,d)(a, b)\,R\,(c, d) if and only if ad−bcad-bc is divisible by 5. Then R isMediumRelations and Functions
  3. Q3If z=12−2iz=\frac{1}{2}-2i is such that ∣z+1∣=αz+β(1+i)|z+1|=\alpha z+\beta(1+i), i=−1i=\sqrt{-1} and α,β∈R\alpha,\beta\in\mathbb{R}, then α+β\alpha+\beta is equal toEasyComplex Numbers and Quadratic Equations
  4. Q4Let A be a square matrix such that AAT=IAA^T=I. Then 12A[(A+AT)2+(A−AT)2]\frac{1}{2}A\left[(A+A^T)^2+(A-A^T)^2\right] is equal toMediumMatrices
  5. Q5Let A=[1000αβ0βα]A=\begin{bmatrix}1&0&0\\0&\alpha&\beta\\0&\beta&\alpha\end{bmatrix} and ∣2A∣3=221|2A|^3=2^{21} where α,β∈Z\alpha,\beta\in\mathbb{Z}, Then a value of…EasyDeterminants
  6. Q6In an A.P., the sixth term a6=2a_6=2. If the product a1a4a5a_1a_4a_5 is the greatest, then the common difference of the A.P. is equal toHardSequences and Series
  7. Q7If in a G.P. of 64 terms, the sum of all the terms is 7 times the sum of the odd terms of the G.P, then the common ratio of the G.P. is equal toMediumSequences and Series
  8. Q8…MediumLimits and Derivatives
  9. Q9Suppose f(x)=(2x+2−x)tan⁡xtan⁡−1(x2−x+1)(7x2+3x+1)3f(x)=\frac{(2^x+2^{-x})\tan x\sqrt{\tan^{-1}(x^2-x+1)}}{(7x^2+3x+1)^3}. Then the value of f′(0)f'(0) is equal toHardContinuity and Differentiability
  10. Q10Consider the function f:[12,1]→Rf:\left[\frac{1}{2},1\right]\to\mathbb{R} defined by f(x)=42x3−32x−1f(x)=4\sqrt{2}x^3-3\sqrt{2}x-1. Consider the statements (I) The curve…MediumApplication of Derivatives
  11. Q11If the value of the integral…HardIntegrals
  12. Q12For x∈(−π2,π2)x\in\left(-\frac{\pi}{2},\frac{\pi}{2}\right), if y(x)=∫cosec x+sin⁡xcosec xsec⁡x+tan⁡xsin⁡2xdxy(x)=\int\frac{\mathrm{cosec}\,x+\sin x}{\mathrm{cosec}\,x\sec x+\tan x\sin^2x}dx, and…HardIntegrals
  13. Q13A function y=f(x)y=f(x) satisfies f(x)sin⁡2x+sin⁡x−(1+cos⁡2x)f′(x)=0f(x)\sin 2x+\sin x-(1+\cos^2x)f'(x)=0 with condition f(0)=0f(0)=0. Then, f(π2)f\left(\frac{\pi}{2}\right) is equal toMediumDifferential Equations
  14. Q14Let (5,a4)\left(5,\frac{a}{4}\right) be the circumcenter of a triangle with vertices A(a,−2)A(a,-2), B(a,6)B(a,6) and C(a4,−2)C\left(\frac{a}{4},-2\right). Let…MediumStraight Lines
  15. Q15In a ΔABC\Delta ABC, suppose y=xy=x is the equation of the bisector of the angle BB and the equation of the side ACAC is 2x−y=22x-y=2. If 2AB=BC2AB=BC and the…HardStraight Lines
  16. Q16Let PQR be a triangle with R(−1,4,2)R(-1,4,2). Suppose M(2,1,2)M(2,1,2) is the mid point of PQ. The distance of the centroid of ΔPQR\Delta PQR from the point of…MediumThree Dimensional Geometry
  17. Q17Let a⃗,b⃗\vec{a},\vec{b} and c⃗\vec{c} be three non-zero vectors such that b⃗\vec{b} and c⃗\vec{c} are non-collinear. If a⃗+5b⃗\vec{a}+5\vec{b} is…MediumVector Algebra
  18. Q18Let O be the origin and the position vectors of A and B be 2i^+2j^+k^2\hat{i}+2\hat{j}+\hat{k} and 2i^+4j^+4k^2\hat{i}+4\hat{j}+4\hat{k} respectively. If the…MediumVector Algebra
  19. Q19A fair die is thrown until 2 appears. Then the probability, that 2 appears in even number of throws, isMediumProbability
  20. Q20If α,−π2<α<π2\alpha,-\frac{\pi}{2}<\alpha<\frac{\pi}{2} is the solution of 4cos⁡θ+5sin⁡θ=14\cos\theta+5\sin\theta=1, then the value of tan⁡α\tan\alpha isMediumTrigonometric Functions
  21. Q21Let α,β\alpha,\beta be the roots of the equation x2−x+2=0x^2-x+2=0 with Im(α)>Im(β)Im(\alpha)>Im(\beta). Then α6+α4+β4−5α2\alpha^6+\alpha^4+\beta^4-5\alpha^2 is equal to…MediumComplex Numbers and Quadratic EquationsNumerical
  22. Q22All the letters of the word "GTWENTY" are written in all possible ways with or without meaning and these words are written as in a dictionary. The…MediumPermutations and CombinationsNumerical
  23. Q23If 11C12+11C23+…+11C910=nm\frac{{}^{11}C_1}{2}+\frac{{}^{11}C_2}{3}+\ldots+\frac{{}^{11}C_9}{10}=\frac{n}{m} with gcd⁡(n,m)=1\gcd(n,m)=1, then n+mn+m is equal to ______.MediumBinomial TheoremNumerical
  24. Q24Let f(x)=2x−x2f(x)=2^x-x^2, x∈Rx\in\mathbb{R}. If mm and nn are respectively the number of points at which the curves y=f(x)y=f(x) and y=f′(x)y=f'(x) intersect the…MediumApplication of DerivativesNumerical
  25. Q25The area (in sq. units) of the part of the circle x2+y2=169x^2+y^2=169 which is below the line 5x−y=135x-y=13 is…HardApplication of IntegralsNumerical
  26. Q26If the solution curve y=y(x)y=y(x) of the differential equation (1+y2)(1+log⁡ex)dx+x dy=0(1+y^2)(1+\log_e x)dx+x\,dy=0, x>0x>0 passes through the point (1,1)(1,1) and…MediumDifferential EquationsNumerical
  27. Q27Equations of two diameters of a circle are 2x−3y=52x-3y=5 and 3x−4y=73x-4y=7. The line joining the points (−227,−4)\left(-\frac{22}{7},-4\right) and…MediumConic SectionsNumerical
  28. Q28If the points of intersection of two distinct conics x2+y2=4bx^2+y^2=4b and x216+y2b2=1\frac{x^2}{16}+\frac{y^2}{b^2}=1 lie on the curve y2=3x2y^2=3x^2, then…HardConic SectionsNumerical
  29. Q29A line with direction ratios 2,1,22,1,2 meets the lines x=y+2=zx=y+2=z and x+2=2y=2zx+2=2y=2z respectively at the points P and Q. If the length of the…HardThree Dimensional GeometryNumerical
  30. Q30If the mean and variance of the data 65,68,58,44,48,45,60,α,β,6065, 68, 58, 44, 48, 45, 60, \alpha, \beta, 60 where α>β\alpha>\beta, are 56 and 66.2 respectively, then…MediumStatisticsNumerical

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 2024 shifts.