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Friday, 9 October

JEE Main 2024 · April session

JEE Main 9 April 2024, Shift 2

90 questions: 30 numerical-answer and 60 multiple choice. 14 were rated hard and 28 easy. By hard questions it ranks 1st of the 8 2024 shifts Lumi analysed. The biggest chapter was Aldehydes, Ketones and Carboxylic Acids, with 3 questions.

Questions
90
none dropped
Numerical answer
30
33% of the shift
Hard
14
16% of the shift
Chapters asked
61
16 questions with a figure

The shift at a glance

Subjects, difficulty and chapters

Physics
30 Q · 10 numerical
Easy 16Medium 12Hard 2

Top chapters

Chemistry
30 Q · 10 numerical
Easy 12Medium 15Hard 3

Top chapters

Maths
30 Q · 10 numerical
Easy 0Medium 21Hard 9

Top chapters

Question format
  • Single correct53 Q
  • Numerical value30 Q
  • Match the list5 Q
  • Two statements2 Q
What each question asks you to do
  • Multi-step35 Q
  • Calculation25 Q
  • Application14 Q
  • Recall9 Q
  • Conceptual5 Q
  • Diagram reading1 Q
  • Data or graph1 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 de-Broglie wavelength associated with a particle of mass mm and energy EE is h/2mEh/\sqrt{2mE}. The dimensional formula for Planck's constant is :EasyUnits and Measurements
  2. Q32Two cars are travelling towards each other at speed of 20 m s−120\ \mathrm{m\,s^{-1}} each. When the cars are 300 m300\ \mathrm{m} apart, both the drivers…EasyMotion in a Straight Line
  3. Q33A nucleus at rest disintegrates into two smaller nuclei with their masses in the ratio of 2:12:1. After disintegration they will move :EasySystem of Particles and Rotational Motion
  4. Q34A 11 kg mass is suspended from the ceiling by a rope of length 44 m. A horizontal force FF is applied at the mid point of the rope so that the…EasyLaws of Motion
  5. Q35A hydrogen atom in ground state is given an energy of 10.210.2 eV. How many spectral lines will be emitted due to transition of electrons ?EasyAtoms
  6. Q36A real gas within a closed chamber at 27∘C27^\circ C undergoes the cyclic process as shown in figure. The gas obeys PV3=RTPV^3=RT equation for the path…HardThermodynamics
  7. Q37The energy released in the fusion of 2 kg2\ kg of hydrogen deep in the sun is EHE_H and the energy released in the fission of 2 kg2\ kg of…MediumNuclei
  8. Q38A satellite of 10310^3 kg mass is revolving in circular orbit of radius 2R2R. If 104R6\frac{10^4R}{6} J energy is supplied to the satellite, it would…MediumGravitation
  9. Q39The excess pressure inside a soap bubble is thrice the excess pressure inside a second soap bubble. The ratio between the volume of the first and…EasyMechanical Properties of Fluids
  10. Q40A spherical ball of radius 1×10−41\times10^{-4} m and density 105 kg/m310^5\ \mathrm{kg/m^3} falls freely under gravity through a distance hh before entering…HardMechanical Properties of Fluids
  11. Q41The temperature of a gas is −78∘-78^\circC and the average translational kinetic energy of its molecules is K. The temperature at which the average…EasyKinetic Theory
  12. Q42Five charges +q+q, +5q+5q, −2q-2q, +3q+3q and −4q-4q are situated as shown in the figure. The electric flux due to this configuration through the…EasyElectric Charges and Fields
  13. Q43The effective resistance between AA and BB, if resistance of each resistor is RR, will be :MediumCurrent Electricity
  14. Q44A proton and a deutron (q=+eq=+e, m=2.0m=2.0u) having same kinetic energies enter a region of uniform magnetic field B⃗\vec{B}, moving perpendicular to…EasyMoving Charges and Magnetism
  15. Q45A square loop of side 1515 cm being moved towards right at a constant speed of 22 cm/s as shown in figure. The front edge enters the 5050 cm wide…EasyElectromagnetic Induction
  16. Q46The following figure represents two biconvex lenses L1L_1 and L2L_2 having focal length 1010 cm and 1515 cm respectively. The distance between L1L_1…MediumRay Optics and Optical Instruments
  17. Q47UV light of 4.134.13 eV is incident on a photosensitive metal surface having work function 3.133.13 eV. The maximum kinetic energy of ejected…EasyDual Nature of Radiation and Matter
  18. Q48In the truth table of the above circuit the value of X and Y are :MediumSemiconductor Electronics: Materials, Devices and Simple Circuits
  19. Q49The II-VV characteristics of an electronic device shown in the figure. The device is :EasySemiconductor Electronics: Materials, Devices and Simple Circuits
  20. Q50The magnetic field in a plane electromagnetic wave is By=(3.5×10−7)sin⁡(1.5×103x+0.5×1011t)TB_y=(3.5\times10^{-7})\sin(1.5\times10^3x+0.5\times10^{11}t)\mathrm{T}. The corresponding…MediumElectromagnetic Waves
  21. Q51A force (3x2+2x−5)(3x^2+2x-5) N displaces a body from x=2x=2 m to x=4x=4 m. Work done by this force is ___________ J.EasyWork, Energy and PowerNumerical
  22. Q52Monochromatic light of wavelength 500500 nm is used in Young's double slit experiment. An interference pattern is obtained on a screen. When one of…MediumWave OpticsNumerical
  23. Q53A capacitor of reactance 43 Ω4\sqrt{3}\ \Omega and a resistor of resistance 4 Ω4\ \Omega are connected in series with an ac source of peak value…MediumAlternating CurrentNumerical
  24. Q54A straight magnetic strip has a magnetic moment of 44 Am244\ \mathrm{Am^2}. If the strip is bent in a semicircular shape, its magnetic moment will be…EasyMagnetism and MatterNumerical
  25. Q55At room temperature (27∘27^\circC), the resistance of a heating element is 50 Ω50\ \Omega. The temperature coefficient of the material is…EasyCurrent ElectricityNumerical
  26. Q56An electric field E⃗=(2xi^) NC−1\vec{E}=(2x\hat{i})\ NC^{-1} exists in space. A cube of side 22m is placed in the space as per figure given below. The electric…MediumElectric Charges and FieldsNumerical
  27. Q57A particle of mass 0.500.50 kg executes simple harmonic motion under force F=−50 (Nm−1)xF=-50\ (Nm^{-1})x. The time period of oscillation is x35\frac{x}{35} s.…EasyOscillationsNumerical
  28. Q58A circular disc reaches from top to bottom of an inclined plane of length ll. When it slips down the plane, if takes tt s. When it rolls down the…MediumSystem of Particles and Rotational MotionNumerical
  29. Q59The resultant of two vectors A⃗\vec{A} and B⃗\vec{B} is perpendicular to A⃗\vec{A} and its magnitude is half that of B⃗\vec{B}. The angle between…MediumMotion in a PlaneNumerical
  30. Q60To determine the resistance (RR) of a wire, a circuit is designed below. The VV-II characteristic curve for this circuit is plotted for the…MediumCurrent ElectricityNumerical

Chemistry Q61–90

  1. Q61The candela is the luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency 'AA' ×1012\times10^{12} hertz…EasySome Basic Concepts of Chemistry
  2. Q62The correct increasing order for bond angles among BF3\mathrm{BF_3}, PF3\mathrm{PF_3} and ClF3\mathrm{ClF_3} is :MediumChemical Bonding and Molecular Structure
  3. Q63For a sparingly soluble salt AB2\mathrm{AB_2}, the equilibrium concentrations of A2+\mathrm{A^{2+}} ions and B−\mathrm{B^-} ions are…EasyEquilibrium
  4. Q64Match List I with List II List I (Cell) | List II (Use/Property/Reaction) A. Leclanche cell | I. Converts energy of combustion into electrical…EasyElectrochemistry
  5. Q65Which out of the following is a correct equation to show change in molar conductivity with respect to concentration for a weak electrolyte, if the…MediumElectrochemistry
  6. Q66The electronic configuration of Einsteinium is : (Given atomic number of Einsteinium = 99)MediumThe d- and f-Block Elements
  7. Q67Match List I with List II List I (Element) | List II (Electronic Configuration) A. N | I. [Ar] 3d10 4s2 4p5[\mathrm{Ar}]\,3d^{10}\,4s^2\,4p^5 B. S | II.…EasyClassification of Elements and Periodicity in Properties
  8. Q68Match List I with List II List I | List II A. Melting Point [K] | I. Tl>In>Ga>Al>B\mathrm{Tl>In>Ga>Al>B} B. Ionic Radius [M+3\mathrm{M^{+3}}/pm] | II.…HardClassification of Elements and Periodicity in Properties
  9. Q69Give below are two statements : Statement I : The higher oxidation states are more stable down the group among transition elements unlike p-block…MediumThe d- and f-Block Elements
  10. Q70The coordination environment of Ca2+\mathrm{Ca^{2+}} ion in its complex with EDTA4−\mathrm{EDTA^{4-}} is :EasyCoordination Compounds
  11. Q71Match List I with List II List I | List II A. K2[Ni(CN)4]\mathrm{K_2[Ni(CN)_4]} | I. sp3sp^3 B. [Ni(CO)4]\mathrm{[Ni(CO)_4]} | II. sp3d2sp^3d^2 C.…MediumCoordination Compounds
  12. Q72Match List I with List II List I (Test) | List II (Observation) A. Br2\mathrm{Br_2} water test | I. Yellow orange or orange red precipitate formed B.…MediumAlcohols, Phenols and Ethers
  13. Q73The correct stability order of the following resonance structures of CH3−CH=CH−CHO\mathrm{CH_3-CH=CH-CHO} is I:…MediumOrganic Chemistry: Some Basic Principles and Techniques
  14. Q74The incorrect statement regarding ethyne isEasyHydrocarbons
  15. Q75[figure: C6H5−CH(CH3)−CH(OCH3)−Br\mathrm{C_6H_5-CH(CH_3)-CH(OCH_3)-Br} (benzylic carbon bearing CH3_3, next carbon bearing both OCH3_3 and Br)]…HardHaloalkanes and Haloarenes
  16. Q76Total number of stereo isomers possible for the given structure :MediumHaloalkanes and Haloarenes
  17. Q77Which of the following compounds will give silver mirror with ammoniacal silver nitrate? A. Formic acid B. Formaldehyde C. Benzaldehyde D. Acetone…EasyAldehydes, Ketones and Carboxylic Acids
  18. Q78Which of the following compound can give positive iodoform test when treated with aqueous KOH solution followed by potassium hypoiodite.MediumAldehydes, Ketones and Carboxylic Acids
  19. Q79Major product of the following reaction is [figure: 4-cyanophenyl methyl ester, i.e. benzene ring with CN at one para position and…MediumAldehydes, Ketones and Carboxylic Acids
  20. Q80The incorrect statement about Glucose is :EasyBiomolecules
  21. Q81Based on Heisenberg's uncertainty principle, the uncertainty in the velocity of the electron to be found within an atomic nucleus of diameter…EasyStructure of AtomNumerical
  22. Q82Total number of electrons present in (π∗)(\pi^*) molecular orbitals of O2\mathrm{O_2}, O2+\mathrm{O_2^{+}} and O2−\mathrm{O_2^{-}} is ________.EasyChemical Bonding and Molecular StructureNumerical
  23. Q83When ΔHvap=30\Delta H_{vap} = 30 kJ/mol and ΔSvap=75 J mol−1K−1\Delta S_{vap} = 75\ \mathrm{J\,mol^{-1}K^{-1}}, then the temperature of vapour, at one atmosphere is…EasyThermodynamics (Chemistry)Numerical
  24. Q84The vapor pressure of pure benzene and methyl benzene at 27∘27^\circC is given as 80 Torr and 24 Torr, respectively. The mole fraction of methyl…MediumSolutionsNumerical
  25. Q85Consider the following first order gas phase reaction at constant temperature A(g)→2B(g)+C(g)\mathrm{A(g) \rightarrow 2B(g) + C(g)} If the total pressure of the…MediumChemical KineticsNumerical
  26. Q86A transition metal 'M' among Sc, Ti, V, Cr, Mn and Fe has the highest second ionisation enthalpy. The spin-only magnetic moment value of…MediumThe d- and f-Block ElementsNumerical
  27. Q87Consider the following test for a group-IV cation. M2++H2S→A\mathrm{M^{2+} + H_2S \rightarrow A} (Black precipitate) + byproduct A\mathrm{A} + aqua regia…HardCoordination CompoundsNumerical
  28. Q88In the given TLC, the distance of spot A & B are 5 cm & 7 cm, from the bottom of TLC plate, respectively. RfR_f value of B is x×10−1x\times10^{-1} times…MediumOrganic Chemistry: Some Basic Principles and TechniquesNumerical
  29. Q89Number of oxygen atoms present in chemical formula of fuming sulphuric acid is ________.EasyThe p-Block ElementsNumerical
  30. Q90Number of compounds from the following which cannot\textbf{cannot} undergo Friedel-Crafts reactions is:________ toluene, nitrobenzene, xylene, cumene,…MediumHydrocarbonsNumerical

Maths Q1–30

  1. Q1Let the range of the function f(x)=12+sin⁡3x+cos⁡3x, x∈Rf(x)=\frac{1}{2+\sin 3x+\cos 3x},\ x\in\mathbb{R} be [a,b][a, b]. If α\alpha and β\beta are respectively the A.M. and…MediumSequences and Series
  2. Q2Let zz be a complex number such that the real part of z−2iz+2i\frac{z-2i}{z+2i} is zero. Then, the maximum value of ∣z−(6+8i)∣|z-(6+8i)| is equal toMediumComplex Numbers and Quadratic Equations
  3. Q3Let α,β; α>β\alpha, \beta;\ \alpha>\beta, be the roots of the equation x2−2x−3=0x^2-\sqrt{2}x-\sqrt{3}=0. Let Pn=αn−βn, n∈NP_n=\alpha^n-\beta^n,\ n\in\mathbb{N}. Then…MediumComplex Numbers and Quadratic Equations
  4. Q4Let B=[1315]B=\begin{bmatrix}1&3\\1&5\end{bmatrix} and AA be a 2×22\times2 matrix such that AB−1=A−1AB^{-1}=A^{-1}. If BCB−1=ABCB^{-1}=A and…HardMatrices
  5. Q5lim⁡x→0e−(1+2x)12xx\lim_{x\to0}\frac{e-(1+2x)^{\frac{1}{2x}}}{x} is equal toHardLimits and Derivatives
  6. Q6The sum of the coefficient of x2/3x^{2/3} and x−2/5x^{-2/5} in the binomial expansion of (x2/3+12x−2/5)9\left(x^{2/3}+\frac{1}{2}x^{-2/5}\right)^9 isMediumBinomial Theorem
  7. Q7Let a,ar,ar2,…a, ar, ar^2, \ldots be an infinite G.P. If ∑n=0∞arn=57\sum_{n=0}^{\infty}ar^n=57 and ∑n=0∞a3r3n=9747\sum_{n=0}^{\infty}a^3r^{3n}=9747, then a+18ra+18r is equal toMediumSequences and Series
  8. Q8If log⁡ey=3sin⁡−1x\log_e y=3\sin^{-1}x, then (1−x2)y′′−xy′(1-x^2)y''-xy' at x=12x=\frac{1}{2} is equal toMediumContinuity and Differentiability
  9. Q9…HardIntegrals
  10. Q10The area (in square units) of the region enclosed by the ellipse x2+3y2=18x^2+3y^2=18 in the first quadrant below the line y=xy=x isMediumApplication of Integrals
  11. Q11The integral ∫1/43/4cos⁡(2cot⁡−11−x1+x)dx\int_{1/4}^{3/4}\cos\left(2\cot^{-1}\sqrt{\frac{1-x}{1+x}}\right)dx is equal toMediumIntegrals
  12. Q12The value of the integral ∫−12log⁡e(x+x2+1)dx\int_{-1}^{2}\log_e\left(x+\sqrt{x^2+1}\right)dx isMediumIntegrals
  13. Q13Let ∫0x1−(y′(t))2 dt=∫0xy(t) dt, 0≤x≤3, y≥0, y(0)=0\int_0^x\sqrt{1-(y'(t))^2}\,dt=\int_0^x y(t)\,dt,\ 0\le x\le 3,\ y\ge0,\ y(0)=0. Then at x=2x=2, y′′+y+1y''+y+1 is equal toHardDifferential Equations
  14. Q14Two vertices of a triangle ABC are A(3,−1)(3,-1) and B(−2,3)(-2,3), and its orthocentre is P(1,1)(1,1). If the coordinates of the point C are (α,β)(\alpha,\beta)…MediumStraight Lines
  15. Q15Let the foci of a hyperbola HH coincide with the foci of the ellipse E:(x−1)2100+(y−1)275=1E:\frac{(x-1)^2}{100}+\frac{(y-1)^2}{75}=1 and the eccentricity of the…MediumConic Sections
  16. Q16Consider the line L passing through the points (1,2,3)(1, 2, 3) and (2,3,5)(2, 3, 5). The distance of the point…HardThree Dimensional Geometry
  17. Q17Between the following two statements: Statement I : Let a⃗=i^+2j^−3k^\vec{a}=\hat{i}+2\hat{j}-3\hat{k} and b⃗=2i^+j^−k^\vec{b}=2\hat{i}+\hat{j}-\hat{k}. Then the vector…HardVector Algebra
  18. Q18Let a⃗=2i^+αj^+k^, b⃗=−i^+k^, c⃗=βj^−k^\vec{a}=2\hat{i}+\alpha\hat{j}+\hat{k},\ \vec{b}=-\hat{i}+\hat{k},\ \vec{c}=\beta\hat{j}-\hat{k}, where α\alpha and β\beta are integers and…MediumVector Algebra
  19. Q19If the variance of the frequency distribution | xx | cc | 2c2c | 3c3c | 4c4c | 5c5c | 6c6c | |---|---|---|---|---|---|---| | ff | 2 | 1 | 1 | 1 |…MediumStatistics
  20. Q20If an unbiased dice is rolled thrice, then the probability of getting a greater number in the ithi^{\text{th}} roll than the number obtained in the…MediumProbability
  21. Q21Let A={(x,y):2x+3y=23, x,y∈N}A=\{(x, y): 2x+3y=23,\ x, y\in\mathbb{N}\} and B={x:(x,y)∈A}B=\{x: (x, y)\in A\}. Then the number of one-one functions from AA to BB is equal to…MediumPermutations and CombinationsNumerical
  22. Q22Consider the matrices : A=[2−53m], B=[20m]A=\begin{bmatrix}2&-5\\3&m\end{bmatrix},\ B=\begin{bmatrix}20\\m\end{bmatrix} and X=[xy]X=\begin{bmatrix}x\\y\end{bmatrix}.…MediumDeterminantsNumerical
  23. Q23The number of integers, between 100 and 1000 having the sum of their digits equals to 14, is ______________.MediumPermutations and CombinationsNumerical
  24. Q24If…HardSequences and SeriesNumerical
  25. Q25Let the set of all values of pp, for which f(x)=(p2−6p+8)(sin⁡22x−cos⁡22x)+2(2−p)x+7f(x)=(p^2-6p+8)\left(\sin^2 2x-\cos^2 2x\right)+2(2-p)x+7 does not have any critical point, be the…MediumApplication of DerivativesNumerical
  26. Q26For a differentiable function f:R→Rf:\mathbb{R}\to\mathbb{R}, suppose f′(x)=3f(x)+αf'(x)=3f(x)+\alpha, where α∈R\alpha\in\mathbb{R}, f(0)=1f(0)=1 and…MediumDifferential EquationsNumerical
  27. Q27Consider the circle C:x2+y2=4C: x^2+y^2=4 and the parabola P:y2=8xP: y^2=8x. If the set of all values of α\alpha, for which three chords of the circle CC on…HardConic SectionsNumerical
  28. Q28Let AA, BB and CC be three points on the parabola y2=6xy^2=6x and let the line segment ABAB meet the line LL through CC parallel to the xx-axis…HardConic SectionsNumerical
  29. Q29The square of the distance of the image of the point (6,1,5)(6, 1, 5) in the line x−13=y2=z−24\frac{x-1}{3}=\frac{y}{2}=\frac{z-2}{4}, from the origin is __________.MediumThree Dimensional GeometryNumerical
  30. Q30Let the inverse trigonometric functions take principal values. The number of real solutions of the equation…MediumInverse Trigonometric FunctionsNumerical

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.