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Friday, 9 October

JEE Main 2024 · January session

JEE Main 30 January 2024, Shift 2

89 questions (1 more dropped by NTA): 30 numerical-answer and 59 multiple choice. 9 were rated hard and 37 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
60
12 questions with a figure

The shift at a glance

Subjects, difficulty and chapters

Physics
30 Q · 10 numerical
Easy 17Medium 11Hard 2

Top chapters

Chemistry
30 Q · 10 numerical
Easy 16Medium 13Hard 1

Top chapters

Maths
29 Q · 10 numerical
Easy 4Medium 19Hard 6

Top chapters

Question format
  • Single correct47 Q
  • Numerical value30 Q
  • Diagram based5 Q
  • Two statements3 Q
  • Other2 Q
  • Match the list1 Q
  • Assertion–reason1 Q
What each question asks you to do
  • Calculation29 Q
  • Multi-step26 Q
  • Application12 Q
  • Conceptual10 Q
  • Recall9 Q
  • Data or graph3 Q

Most common: Calculation.

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. Q31If mass is written as m=k cPG−1/2h1/2m = k\, c^P G^{-1/2} h^{1/2} then the value of PP will be : (Constants have their usual meaning with kk a dimensionless…MediumUnits and Measurements
  2. Q32Projectiles A and B are thrown at angles of 45∘45^\circ and 60∘60^\circ with vertical respectively from top of a 400 m high tower. If their ranges and…HardMotion in a Plane
  3. Q33Three blocks AA, BB and CC are pulled on a horizontal smooth surface by a force of 80N80N as shown in figure The tensions T1T_1 and T2T_2 in the…EasyLaws of Motion
  4. Q34A block of mass mm is placed on a surface having vertical crossection given by y=x2/4y = x^2 / 4. If coefficient of friction is 0.5, the maximum height…MediumLaws of Motion
  5. Q35A block of mass 1 kg is pushed up a surface inclined to horizontal at an angle of 60∘60^\circ by a force of 10 N10\ N parallel to the inclined surface…EasyWork, Energy and Power
  6. Q36Escape velocity of a body from earth is 11.2 km/s11.2\ km/s. If the radius of a planet be one-third the radius of earth and mass be one-sixth that of…EasyGravitation
  7. Q37A block of ice at −10∘C-10^\circ C is slowly heated and converted to steam at 100∘C100^\circ C. Which of the following curves represent the phenomenon…EasyThermal Properties of Matter
  8. Q38Choose the correct statement for processes AA & BB shown in figure.MediumThermodynamics
  9. Q39If three moles of monoatomic gas (γ=53)\left(\gamma = \frac{5}{3}\right) is mixed with two moles of a diatomic gas (γ=75)\left(\gamma = \frac{7}{5}\right),…MediumThermodynamics
  10. Q40A particle of charge '−q-q' and mass 'mm' moves in a circle of radius 'rr' around an infinitely long line charge of linear charge density…MediumElectrostatic Potential and Capacitance
  11. Q41When a potential difference VV is applied across a wire of resistance RR, it dissipates energy at a rate WW. If the wire is cut into two halves…EasyCurrent Electricity
  12. Q42Match List I with List II List I | List II A. Gauss's law of magnetostatics | I. ∮E⃗⋅da⃗=1εo∫ρdV\oint \vec{E}\cdot\vec{da} = \frac{1}{\varepsilon_o}\int \rho dV…EasyElectromagnetic Waves
  13. Q43An alternating voltage V(t)=220sin⁡100πtV(t) = 220\sin 100\pi t volt is applied to a purely resistive load of 50 Ω50\ \Omega. The time taken for the current to rise…MediumAlternating Current
  14. Q44If the total energy transferred to a surface in time t is 6.48×105 J6.48\times 10^5\,J, then the magnitude of the total momentum delivered to this surface…EasyElectromagnetic Waves
  15. Q45A beam of unpolarised light of intensity IoI_o is passed through a polaroid AA and then through another polaroid BB which is oriented so that its…EasyWave Optics
  16. Q46For the photoelectric effect, the maximum kinetic energy (EkE_k) of the photoelectrons is plotted against the frequency (ν\nu) of the incident…EasyDual Nature of Radiation and Matter
  17. Q47In a nuclear fission reaction of an isotope of mass MM, three similar daughter nuclei of same mass are formed. The speed of a daughter nuclei in…MediumNuclei
  18. Q48An electron revolving in nthn^{\mathrm{th}} Bohr orbit has magnetic moment μn\mu_n. If μn∝nx\mu_n \propto n^x, the value of xx isEasyAtoms
  19. Q49In the given circuit, the voltage across load resistance (RLR_L) is:MediumSemiconductor Electronics: Materials, Devices and Simple Circuits
  20. Q50If 50 Vernier divisions are equal to 49 main scale divisions of a traveling microscope and one smallest reading of main scale is 0.5 mm0.5\ mm, the…EasyUnits and Measurements
  21. Q51A vector has magnitude same as that of A⃗=3i^+4j^\vec{A} = 3\hat{i} + 4\hat{j} and is parallel to B⃗=4i^+3j^\vec{B} = 4\hat{i} + 3\hat{j}. The xx and yy…EasyMotion in a PlaneNumerical
  22. Q52Two discs of moment of inertia I1=4 kg m2I_1 = 4\ kg\,m^2 and I2=2 kg m2I_2 = 2\ kg\,m^2, about their central axes & normal to their planes, rotating with angular…EasySystem of Particles and Rotational MotionNumerical
  23. Q53A big drop is formed by coalescing 1000 small identical drops of water. If E1E_1 be the total surface energy of 1000 small drops of water and E2E_2…EasyMechanical Properties of FluidsNumerical
  24. Q54A point source is emitting sound waves of intensity 16×10−8 Wm−216\times 10^{-8}\ Wm^{-2} at the origin. The difference in intensity (magnitude only) at two…EasyWavesNumerical
  25. Q55Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle of 37∘37^\circ with each other. When suspended in…HardElectric Charges and FieldsNumerical
  26. Q56Two resistance of 100 Ω100\ \Omega and 200 Ω200\ \Omega are connected in series with a battery of 4 V4\ V and negligible internal resistance . A voltmeter…MediumCurrent ElectricityNumerical
  27. Q57The current of 5A flows in a square loop of sides 1 m1\ m is placed in air. The magnetic field at the centre of the loop is…EasyMoving Charges and MagnetismNumerical
  28. Q58A power transmission line feeds input power at 2.3kV2.3kV to a step down transformer with its primary winding having 3000 turns. The output power is…EasyAlternating CurrentNumerical
  29. Q59In an experiment to measure the focal length (ff) of a convex lens, the magnitude of object distance (xx) and the image distance (yy) are…MediumRay Optics and Optical InstrumentsNumerical
  30. Q60A simple pendulum is placed at a place where its distance from the earth's surface is equal to the radius of the earth. If the length of the string…MediumOscillationsNumerical

Chemistry Q61–90

  1. Q61If a substance 'A' dissolves in solution of a mixture of 'B' and 'C' with their respective number of moles as nA\mathrm{n_A}, nB\mathrm{n_B} and…EasySolutions
  2. Q62Given below are two statements: Statement - I: Since Fluorine is more electronegative than nitrogen, the net dipole moment of NF3\mathrm{NF_3} is…MediumChemical Bonding and Molecular Structure
  3. Q63The molecule / ion with square pyramidal shape isEasyChemical Bonding and Molecular Structure
  4. Q64The solution from the following with highest depression in freezing point/lowest freezing point isMediumSolutions
  5. Q65Reduction potential of ions are given below: ClO4−\mathrm{ClO_4^-} E∘=1.19 VE^\circ = 1.19\ V; IO4−\mathrm{IO_4^-} E∘=1.65 VE^\circ = 1.65\ V; BrO4−\mathrm{BrO_4^-}…EasyElectrochemistry
  6. Q66Given below are two statements: Statement - I: Along the period, the chemical reactivity of the elements gradually increases from group 1 to group…EasyClassification of Elements and Periodicity in Properties
  7. Q67Choose the correct statements about the hydrides of group 15 elements. A. The stability of the hydrides decreases in the order…MediumThe p-Block Elements
  8. Q68Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R: Assertion A: H2Te\mathrm{H_2Te} is more acidic…MediumThe p-Block Elements
  9. Q69Alkaline oxidative fusion of MnO2\mathrm{MnO_2} gives "A" which on electrolytic oxidation in alkaline solution produces B. A and B respectively areEasyThe d- and f-Block Elements
  10. Q70The orange colour of K2Cr2O7\mathrm{K_2Cr_2O_7} and purple colour of KMnO4\mathrm{KMnO_4} is due toEasyThe d- and f-Block Elements
  11. Q71The coordination geometry around the manganese in decacarbonyldimanganese (0) isMediumCoordination Compounds
  12. Q72Which among the following purification methods is based on the principle of "Solubility" in two different solvents?EasyOrganic Chemistry: Some Basic Principles and Techniques
  13. Q73The correct stability order of carbocations isEasyOrganic Chemistry: Some Basic Principles and Techniques
  14. Q74IUPAC name of following compound is : CH3−CH−CH2−CN\mathrm{CH_3-CH-CH_2-CN} with NH2\mathrm{NH_2} on the CH carbonEasyOrganic Chemistry: Some Basic Principles and Techniques
  15. Q75Given below are two statements: Statement - I: High concentration of strong nucleophilic reagent with secondary alkyl halides which do not have…MediumHaloalkanes and Haloarenes
  16. Q76Salicylaldehyde is synthesized from phenol, when reacted withEasyAlcohols, Phenols and Ethers
  17. Q77Products A and B formed in the following set of reactions are B ←B2H6, H2O2, NaOH(aq)\xleftarrow{\mathrm{B_2H_6},\ \mathrm{H_2O_2,\ NaOH(aq)}} [1-methylcyclohexene]…MediumAlcohols, Phenols and Ethers
  18. Q78m-chlorobenzaldehyde on treatment with 50% KOH solution yieldsEasyAldehydes, Ketones and Carboxylic Acids
  19. Q79The products A and B formed in the following reaction scheme are respectively Benzene…EasyAmines
  20. Q80A and B formed in the following reactions are: CrO2Cl2+4NaOH→A+2NaCl+2H2O\mathrm{CrO_2Cl_2} + 4\mathrm{NaOH} \to A + 2\mathrm{NaCl} + 2\mathrm{H_2O}…MediumThe d- and f-Block Elements
  21. Q81Number of spectral lines obtained in He+\mathrm{He^+} spectra, when an electron makes transition from fifth excited state to first excited state will…EasyStructure of AtomNumerical
  22. Q82Two reactions are given below:…EasyThermodynamics (Chemistry)Numerical
  23. Q83The pH of an aqueous solution containing 1M benzoic acid (pKa=4.20\mathrm{pK_a} = 4.20) and 1M sodium benzoate is 4.5. The volume of benzoic acid solution…MediumEquilibriumNumerical
  24. Q84Total number of species from the following which can undergo disproportionation reaction is ________.…MediumRedox ReactionsNumerical
  25. Q85NO2\mathrm{NO_2} required for a reaction is produced by decomposition of N2O5\mathrm{N_2O_5} in CCl4\mathrm{CCl_4} as by equation…EasyChemical KineticsNumerical
  26. Q86Number of complexes which show optical isomerism among the following is ________. cis-[Cr(ox)2Cl2]3−cis\text{-}[\mathrm{Cr(ox)_2Cl_2}]^{3-},…MediumCoordination CompoundsNumerical
  27. Q87Number. of geometrical isomers possible for the given structure is/are ________.MediumOrganic Chemistry: Some Basic Principles and TechniquesNumerical
  28. Q882-chlorobutane + Cl2→C4H8Cl2\mathrm{Cl_2} \to \mathrm{C_4H_8Cl_2} (isomers) Total number of optically active isomers shown by C4H8Cl2\mathrm{C_4H_8Cl_2}, obtained…HardHaloalkanes and HaloarenesNumerical
  29. Q89The total number of correct statements, regarding the nucleic acids is ________ A. RNA is regarded as the reserve of genetic information B. DNA…EasyBiomoleculesNumerical
  30. Q90Number of metal ions characterized by flame test among the following is ________.…MediumThe s-Block ElementsNumerical

Maths Q1–30

  1. Q1If the domain of the function f(x)=log⁡e(2x+34x2+x−3)+cos⁡−1(2x−1x+2)f(x) = \log_e\left(\frac{2x+3}{4x^2+x-3}\right) + \cos^{-1}\left(\frac{2x-1}{x+2}\right) is (α,β](\alpha, \beta], then…MediumRelations and Functions
  2. Q2If zz is a complex number, then the number of common roots of the equations z1985+z100+1=0z^{1985} + z^{100} + 1 = 0 and z3+2z2+2z+1=0z^3 + 2z^2 + 2z + 1 = 0, is equal toMediumComplex Numbers and Quadratic Equations
  3. Q3Let R=(x000y000z)R = \begin{pmatrix} x & 0 & 0 \\ 0 & y & 0 \\ 0 & 0 & z \end{pmatrix} be a non-zero 3×33\times 3 matrix, where…HardDeterminants
  4. Q4Consider the system of linear equations x+y+z=5x + y + z = 5, x+2y+λ2z=9x + 2y + \lambda^2 z = 9, x+3y+λz=μx + 3y + \lambda z = \mu, where…MediumDeterminants
  5. Q5Suppose 2−p2 - p, pp, 2−α2 - \alpha, α\alpha are the coefficients of four consecutive terms in the expansion of (1+x)n(1+x)^n. Then the value of…MediumBinomial TheoremDropped
  6. Q6Let aa and bb be be two distinct positive real numbers. Let 11th11^{\mathrm{th}} term of a GP, whose first term is aa and third term is bb, is…EasySequences and Series
  7. Q7Let f:R−{0}→Rf: \mathbb{R} - \{0\} \to \mathbb{R} be a function satisfying f(xy)=f(x)f(y)f\left(\frac{x}{y}\right) = \frac{f(x)}{f(y)} for all x,y,f(y)≠0x, y, f(y) \neq 0. If…MediumContinuity and Differentiability
  8. Q8Let aa and bb be real constants such that the function ff defined by…MediumContinuity and Differentiability
  9. Q9Let f(x)=(x+3)2(x−2)3f(x) = (x+3)^2 (x-2)^3, x∈[−4,4]x \in [-4, 4]. If MM and mm are the maximum and minimum values of ff, respectively in [−4,4][-4, 4], then the value…MediumApplication of Derivatives
  10. Q10Let f:R→Rf: \mathbb{R} \to \mathbb{R} be defined as f(x)=ae2x+bex+cxf(x) = ae^{2x} + be^x + cx. If f(0)=−1f(0) = -1, f′(log⁡e2)=21f'(\log_e 2) = 21 and…MediumIntegrals
  11. Q11For α,β∈(0,π/2)\alpha, \beta \in (0, \pi/2), let 3sin⁡(α+β)=2sin⁡(α−β)3\sin(\alpha + \beta) = 2\sin(\alpha - \beta) and a real number kk be such that…MediumTrigonometric Functions
  12. Q12Let y=f(x)y = f(x) be a thrice differentiable function in (−5,5)(-5, 5). Let the tangents to the curve y=f(x)y = f(x) at (1,f(1))(1, f(1)) and (3,f(3))(3, f(3)) make angles…HardIntegrals
  13. Q13Let f:R→Rf: \mathbb{R} \to \mathbb{R} be a function defined by f(x)=x(1+x4)1/4f(x) = \frac{x}{(1+x^4)^{1/4}}, and g(x)=f(f(f(f(x))))g(x) = f(f(f(f(x)))). Then,…HardIntegrals
  14. Q14Let A(α,0)A(\alpha, 0) and B(0,β)B(0, \beta) be the points on the line 5x+7y=505x + 7y = 50. Let the point PP divide the line segment ABAB internally in the…MediumConic Sections
  15. Q15Let PP be a point on the hyperbola H:x29−y24=1H: \frac{x^2}{9} - \frac{y^2}{4} = 1, in the first quadrant such that the area of triangle formed by PP and…MediumConic Sections
  16. Q16If x2−y2+2hxy+2gx+2fy+c=0x^2 - y^2 + 2hxy + 2gx + 2fy + c = 0 is the locus of a point, which moves such that it is always equidistant from the lines x+2y+7=0x + 2y + 7 = 0…MediumStraight Lines
  17. Q17Let L1:r⃗=(i^−j^+2k^)+λ(i^−j^+2k^),λ∈RL_1: \vec{r} = (\hat{i} - \hat{j} + 2\hat{k}) + \lambda(\hat{i} - \hat{j} + 2\hat{k}), \lambda \in \mathbb{R},…MediumThree Dimensional Geometry
  18. Q18Let a⃗\vec{a} and b⃗\vec{b} be two vectors such that ∣b⃗∣=1|\vec{b}| = 1 and ∣b⃗×a⃗∣=2|\vec{b} \times \vec{a}| = 2. Then…EasyVector Algebra
  19. Q19Let a⃗=i^+αj^+βk^\vec{a} = \hat{i} + \alpha\hat{j} + \beta\hat{k}, α,β∈R\alpha, \beta \in \mathbb{R}. Let a vector b⃗\vec{b} be such that the angle between…MediumVector Algebra
  20. Q20Bag A contains 3 white, 7 red balls and Bag B contains 3 white, 2 red balls. One bag is selected at random and a ball is drawn from it. The…EasyProbability
  21. Q21The number of symmetric relations defined on the set {1,2,3,4}\{1, 2, 3, 4\} which are not reflexive is ________.MediumRelations and FunctionsNumerical
  22. Q22The number of real solutions of the equation x(x2+3∣x∣+5∣x−1∣+6∣x−2∣)=0x\left(x^2 + 3|x| + 5|x-1| + 6|x-2|\right) = 0 is ________.MediumRelations and FunctionsNumerical
  23. Q23In an examination of Mathematics paper, there are 20 questions of equal marks and the question paper is divided into three sections : AA, BB and…MediumPermutations and CombinationsNumerical
  24. Q24Let α=∑k=0n((nCk)2k+1)\alpha = \sum_{k=0}^{n} \left(\frac{({}^nC_k)^2}{k+1}\right) and β=∑k=0n−1(nCk nCk+1k+2)\beta = \sum_{k=0}^{n-1} \left(\frac{{}^nC_k\, {}^nC_{k+1}}{k+2}\right). If…HardBinomial TheoremNumerical
  25. Q25Let SnS_n be the sum to nn-terms of an arithmetic progression 3,7,11,…3, 7, 11, \ldots. If 40<(6n(n+1)∑k=1nSk)<4240 < \left(\frac{6}{n(n+1)}\sum_{k=1}^{n} S_k\right) < 42,…MediumSequences and SeriesNumerical
  26. Q26The area of the region enclosed by the parabola (y−2)2=x−1(y-2)^2 = x - 1, the line x−2y+4=0x - 2y + 4 = 0 and the positive coordinate axes is ________.MediumApplication of IntegralsNumerical
  27. Q27Let Y=Y(X)Y = Y(X) be a curve lying in the first quadrant such that the area enclosed by the line Y−y=Y′(x)(X−x)Y - y = Y'(x)(X - x) and the co-ordinate axes, where…HardDifferential EquationsNumerical
  28. Q28Consider two circles C1:x2+y2=25C_1: x^2 + y^2 = 25 and C2:(x−α)2+y2=16C_2: (x - \alpha)^2 + y^2 = 16, where α∈(5,9)\alpha \in (5, 9). Let the angle between the two radii (one…HardConic SectionsNumerical
  29. Q29Let a line passing through the point (−1,2,3)(-1, 2, 3) intersect the lines L1:x−13=y−22=z+1−2L_1: \frac{x-1}{3} = \frac{y-2}{2} = \frac{z+1}{-2} at…MediumThree Dimensional GeometryNumerical
  30. Q30The variance σ2\sigma^2 of the data | xix_i | 0 | 1 | 5 | 6 | 10 | 12 | 17 | |---|---|---|---|---|---|---|---| | fif_i | 3 | 2 | 3 | 2 | 6 | 3 | 3 |…EasyStatisticsNumerical

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.