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JEE Main 2024 29th January Morning Shift

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Main 2024 29th January Morning Shift paper, question by question. Each question shows a quick preview so you can jump straight to the topic or subject you want to revise. Click through to attempt the full question in practice mode, or head back to the paper-wise list to download the entire shift as a PDF.

This paper has 90 questions in total - 37 easy (41%), 39 moderate (43%) and 14 tough (16%). That's an easier-than-usual mix for this exam - aim to clear it quickly and save time for the harder papers. By subject: Physics 47% easy, 37% moderate, 17% tough; Chemistry 40% easy, 43% moderate, 17% tough; Mathematics 37% easy, 50% moderate, 13% tough.

Chemistry questions were spread across 18 chapters, with Hydrocarbons (5), General Organic Chemistry (4), and Biomolecules (2) carrying the most weight. Mathematics questions were spread across 20 chapters, with Functions (3), Three Dimensional Geometry (3), and Complex Number (2) carrying the most weight. Physics questions were spread across 21 chapters, with Current Electricity (3), Electrostatics (3), and Capacitance (2) carrying the most weight.

Chemistry

  1. 1The correct set of four quantum numbers for the valence electron of rubidium atom ( Z = 37 ) is:29 Jan, 2024 (M)Quantum mechanical model
  2. 2Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R: Assertion A: The first ionisation ent29 Jan, 2024 (M)Periodic properties
  3. 3Number of compounds with one lone pair of electrons on central atom amongst following is _ O 3 , H 2 O , SF 4 , ClF 3 , NH 3 , BrF 5 , XeF 429 Jan, 2024 (M)Covalent and Co-ordinate Bonding
  4. 4The number of species from the following which are paramagnetic and with bond order equal to one is H 2 , He 2 + , O 2 + , N 2 2 - , O 2 2 -29 Jan, 2024 (M)Molecular Orbital Theory
  5. 5Which of the following is not correct?29 Jan, 2024 (M)Third law of thermodynamics
  6. 6For the reaction N 2 O 4 ( g ) ⇌ 2 NO 2 ( g ) , K p = 0 . 492 atm at 300 K . K c for the reaction at same temperature is _ _ _ _ _ _ × 10 - 29 Jan, 2024 (M)Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
  7. 7Chlorine undergoes disproportionation in alkaline medium as shown below : aCl 2 ( g ) + bOH - ( aq ) → cClO - ( aq ) + dCl - ( aq ) + eH 2 O29 Jan, 2024 (M)Balancing of redox reactions
  8. 8KMnO 4 decomposes on heating at 513 K to form O 2 along with29 Jan, 2024 (M)Redox titration
  9. 9Given below are two statements : Statement I : The electronegativity of group 14 elements from Si to Pb gradually decreases. Statement II : 29 Jan, 2024 (M)Silicon and Its Compounds
  10. 10Number of compounds among the following which contain sulphur as heteroatom is____. Furan,Thiophene, Pyridine, Pyrrole, Cysteine, Tyrosine29 Jan, 2024 (M)IUPAC Nomenclature
  11. 11The interaction between π bond and lone pair of electrons present on an adjacent atom is responsible for29 Jan, 2024 (M)Electron displacement effects
  12. 12The difference in energy between the actual structure and the lowest energy resonance structure for the given compound is:29 Jan, 2024 (M)Conjugation and Aromaticity
  13. 13Appearance of blood red colour, on treatment of the sodium fusion extract of an organic compound with FeSO 4 in presence of concentrated H 229 Jan, 2024 (M)Qualitative analysis of organic compounds
  14. 14Consider the given reaction. The total number of oxygen atoms present per molecule of the product ( P ) is _________.29 Jan, 2024 (M)Reactions of alkenes
  15. 15Identify product A and product B29 Jan, 2024 (M)Preparation and Reactions of cycloalkanes and cycloalkenes
  16. 16The major product(P) in the following reaction is29 Jan, 2024 (M)Preparation and Reactions of Conjugate Dienes
  17. 17The arenium ion which is not involved in the bromination of Aniline is29 Jan, 2024 (M)Reactions of aromatic compounds
  18. 18The final product A formed in the following multistep reaction sequence is29 Jan, 2024 (M)Properties and Preparation of Alkanes
  19. 19A solution of H 2 SO 4 is 31 . 4 % H 2 SO 4 by mass and has a density of 1 . 25 g / mL . The molarity of the H 2 SO 4 solution is M (nearest29 Jan, 2024 (M)Solubility and Concentration of Solutions
  20. 20The osmotic pressure of a dilute solution is 7 × 10 5 Pa at 273 K . Osmotic pressure of the same solution at 283 K is _ _ _ _ _ _ _ × 10 4 N29 Jan, 2024 (M)Colligative Properties and Abnormal Molecular Masses
  21. 21The mass of zinc produced by the electrolysis of zinc sulphate solution with a steady current of 0 . 015 A for 15 minutes is _ _ _ _ × 10 - 29 Jan, 2024 (M)Cells and Electrode Potential, Nernst Equation
  22. 22For a reaction taking place in three steps at same temperature, overall rate constant K = K 1 K 2 K 3 . If Ea 1 , Ea 2 and Ea 3 are 40 , 50 29 Jan, 2024 (M)Arrhenius theory
  23. 23Identify the incorrect pair from the following :29 Jan, 2024 (M)Minerals and ores
  24. 24In chromyl chloride test for confirmation of Cl – ion, a yellow solution is obtained. Acidification of the solution and addition of amyl alc29 Jan, 2024 (M)Compounds of Transition Metals
  25. 25In alkaline medium. MnO 4 - oxidises I - to29 Jan, 2024 (M)Compounds of Transition Metals
  26. 26In which one of the following metal carbonyls, CO forms a bridge between metal atoms?29 Jan, 2024 (M)Carbonyl Compounds
  27. 27Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R : Assertion A : Aryl halides cannot be29 Jan, 2024 (M)Preparation and Properties of Aryl Halides
  28. 28From the compounds given below, number of compounds which give positive Fehling's test is Benzaldehyde, Acetaldehyde, Acetone, Acetophenone,29 Jan, 2024 (M)Reactions for aldehydes
  29. 29Type of amino acids obtained by hydrolysis of proteins is :29 Jan, 2024 (M)Proteins
  30. 30Match List I with List I List I (Substances) List II (Element Present) A. Ziegler catalyst I. Rhodium B. Blood Pigment II. Cobalt C. Wilkins29 Jan, 2024 (M)Vitamins

Mathematics

  1. 1If z = 1 2 - 2 i , is such that | z + 1 | = α z + β ( 1 + i ) , i = - 1 and α , β ∈ R , then α + β is equal to29 Jan, 2024 (M)Conjugate, modulus and argument
  2. 2Let α , β be the roots of the equation x 2 - x + 2 = 0 with Im ( α ) Im ( β ) . Then α 6 + α 4 + β 4 - 5 α 2 is equal to29 Jan, 2024 (M)Euler Form and De Moivres Theorem
  3. 3All the letters of the word G T W E N T Y are written in all possible ways with or without meaning and these words are written as in a dicti29 Jan, 2024 (M)Arrangement under Constraint
  4. 4In an A.P., the sixth term a 6 = 2 . If the a 1 a 4 a 5 is the greatest, then the common difference of the A.P., is equal to29 Jan, 2024 (M)Arithmetic Progression
  5. 5If 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 equa29 Jan, 2024 (M)Geometric Progression
  6. 6If C 1 11 2 + C 2 11 3 + … . . + C 9 11 10 = n m with gcd ( n , m ) = 1 , then n + m is equal to29 Jan, 2024 (M)Sum of Series
  7. 7If α , - π 2 α π 2 is the solution of 4 cos θ + 5 sin θ = 1 , then the value of tan α is29 Jan, 2024 (M)Solving Trigonometric Equation
  8. 8Let 5 , a 4 , be the circumcenter of a triangle with vertices A ( a , - 2 ) , B ( a , 6 ) and C a 4 , - 2 . Let α denote the circumradius, β29 Jan, 2024 (M)Coordinate System
  9. 9In a ∆ ABC , suppose y = x is the equation of the bisector of the angle B and the equation of the side A C is 2 x - y = 2 . If 2 A B = B C a29 Jan, 2024 (M)Angle bisector
  10. 10Equations of two diameters of a circle are 2 x - 3 y = 5 and 3 x - 4 y = 7 . The line joining the points - 22 7 , - 4 and - 1 7 , 3 intersec29 Jan, 2024 (M)line and circle
  11. 11If the points of intersection of two distinct conics x 2 + y 2 = 4 b and x 2 16 + y 2 b 2 = 1 lie on the curve y 2 = 3 x 2 , then 3 3 times 29 Jan, 2024 (M)Equation of Ellipse
  12. 12lim x → π 2 1 x - π 2 2 ∫ x 3 π 2 3 cos 1 t 3 d t is equal to29 Jan, 2024 (M)Miscellaneous
  13. 13If the mean and variance of the data 65 , 68 , 58 , 44 , 48 , 45 , 60 , α , β , 60 where α β are 56 and 66 . 2 respectively, then α 2 + β 2 29 Jan, 2024 (M)Measures of Dispersion
  14. 14Let R be a relation on Z × Z defined by ( a , b ) R ( c , d ) if and only if a d - b c is divisible by 5 . Then R is29 Jan, 2024 (M)Questions on Symmetric Transitive and Reflexive Properties
  15. 15If f x = 2 + 2 x , - 1 ≤ x 0 1 - x 3 , 0 ≤ x ≤ 3 ; g x = - x , - 3 ≤ x ≤ 0 x , 0 x ≤ 1 , then range of ( f ∘ g ( x ) ) is29 Jan, 2024 (M)Composite Function
  16. 16Consider the function f : 1 2 , 1 → R defined by f x = 4 2 x 3 - 3 2 x - 1 . Consider the statements (I) The curve y = f x intersects the x 29 Jan, 2024 (M)Number of Solutions
  17. 17Let f x = 2 x - x 2 , x ∈ R . If m and n are respectively the number of points at which the curves y = f x and y = f ' x intersects the x - 29 Jan, 2024 (M)Number of Solutions
  18. 18Let A = 1 0 0 0 α β 0 β α and | 2 A | 3 = 2 21 where α , β ∈ Z , Then a value of α is29 Jan, 2024 (M)Product of Matrices
  19. 19Let A be a square matrix such that AA T = I . Then 1 2 A A + A T 2 + A - A T 2 is equal to29 Jan, 2024 (M)Product of Matrices
  20. 20Suppose f x = 2 x + 2 - x tan x tan - 1 x 2 - x + 1 7 x 2 + 3 x + 1 3 . Then the value of f ' 0 is equal to29 Jan, 2024 (M)Differentiation of composite functions
  21. 21If the value of the integral ∫ - π 2 π 2 x 2 cos x 1 + π x + 1 + sin 2 x 1 + e sin x 2023 d x = π 4 π + a - 2 , then the value of a is29 Jan, 2024 (M)Properties of Definite Integration
  22. 22For x ∈ - π 2 , π 2 , if y x = ∫ cosec x + sin x cosec x sec x + tan x sin 2 x d x and lim x → π 2 - y x = 0 then y π 4 is equal to29 Jan, 2024 (M)Definite Integration by Substitution
  23. 23The area (in sq. units) of the part of circle x 2 + y 2 = 169 which is below the line 5 x - y = 13 is π α 2 β - 65 2 + α β sin - 1 12 13 whe29 Jan, 2024 (M)Area bounded by two curves
  24. 24If the solution curve y = y ( x ) of the differential equation 1 + y 2 1 + log e x d x + x d y = 0 , x 0 passes through the point ( 1 , 1 ) 29 Jan, 2024 (M)Variable Separable Form
  25. 25A function y = f ( x ) satisfies f x sin 2 x + sin x - 1 + cos 2 x f ' x = 0 with condition f ( 0 ) = 0 . Then f π 2 is equal to29 Jan, 2024 (M)Linear Differential Equation
  26. 26Let a → , b → and c → be three non-zero vectors such that b → and c → are non-collinear if a → + 5 b → is collinear with c → , b → + 6 c → i29 Jan, 2024 (M)Algebra of Vectors
  27. 27Let be the origin and the position vector of A and B be 2 i ^ + 2 j ^ + k ^ and 2 i ^ + 4 j ^ + 4 k ^ respectively. If the internal bisector29 Jan, 2024 (M)Basics of point in 3 dimension
  28. 28Let P Q R be a triangle with R ( - 1 , 4 , 2 ) . Suppose M ( 2 , 1 , 2 ) is the mid point of P Q . The distance of the centroid of ∆ P Q R f29 Jan, 2024 (M)Line in Space
  29. 29A line with direction ratio 2 , 1 , 2 meets the lines x = y + 2 = z and x + 2 = 2 y = 2 z respectively at the point P and Q . if the length 29 Jan, 2024 (M)Line in Space
  30. 30A fair die is thrown until 2 appears. Then the probability, that 2 appears in even number of throws, is29 Jan, 2024 (M)Independent Events

Physics

  1. 1The resistance R = V I , where V = ( 200 ± 5 ) V and I = ( 20 ± 0 . 2 ) A , the percentage error in the measurement of R is :29 Jan, 2024 (M)Errors of Measurement
  2. 2A body starts moving from rest with constant acceleration covers displacement S 1 in first ( p - 1 ) seconds and S 2 in first p seconds. The29 Jan, 2024 (M)Uniform Motion
  3. 3If 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 for29 Jan, 2024 (M)Uniform Circular Motion
  4. 4A ball rolls off the top of a stairway with horizontal velocity u . The steps are 0 . 1 m high and 0 . 1 m wide. The minimum velocity u with29 Jan, 2024 (M)Projectile motion
  5. 5A 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 . 429 Jan, 2024 (M)Work done
  6. 6The potential energy function (in J ) of a particle in a region of space is given as U = 2 x 2 + 3 y 3 + 2 z . Here x , y and z are in meter29 Jan, 2024 (M)Energy
  7. 7A cylinder is rolling down on an inclined plane of inclination 60 ° . Its acceleration during rolling down will be x 3 m s - 2 , where x = _29 Jan, 2024 (M)Rolling without Slipping
  8. 8At what distance above and below the surface of the earth a body will have same weight? (Take radius of earth as R )29 Jan, 2024 (M)Acceleration Due to Gravity
  9. 9Given below are two statements: Statement I : If a capillary tube is immersed first in cold water and then in hot water, the height of capil29 Jan, 2024 (M)Pressure and thrust
  10. 10In a test experiment on a model aeroplane in wind tunnel, the flow speeds on the upper and lower surfaces of the wings are 70 m s - 1 and 6529 Jan, 2024 (M)Hydrodynamics
  11. 11A thermodynamic system is taken from an original state A to an intermediate state B by a linear process as shown in the figure. Its volume i29 Jan, 2024 (M)First Law of Thermodynamics
  12. 12Two vessels A and B are of the same size and are at same temperature. A contains 1 g of hydrogen and B contains 1 g of oxygen. P A and P B a29 Jan, 2024 (M)Pressure and Energy of gas
  13. 13When the displacement of a simple harmonic oscillator is one third of its amplitude, the ratio of total energy to the kinetic energy is x 8 29 Jan, 2024 (M)Energy of Simple Harmonic Motion
  14. 14An electron is moving under the influence of the electric field of a uniformly charged infinite plane sheet S having surface charge density 29 Jan, 2024 (M)Electric Field and Electric Field Lines
  15. 15Two charges of 5 Q and - 2 Q are situated at the points ( 3 a , 0 ) and ( - 5 a , 0 ) respectively. The electric flux through a sphere of ra29 Jan, 2024 (M)Electric Flux and Gauss Law
  16. 16Match List I with List II Chose the correct answer from the options given below29 Jan, 2024 (M)Electric Flux and Gauss Law
  17. 17A capacitor of capacitance 100 μF is charged to a potential of 12 V and connected to a 6 . 4 mH inductor to produce oscillations. The maximu29 Jan, 2024 (M)Charging and Discarging of capacitors
  18. 18A 16 Ω wire is bend to form a square loop. A 9 V battery with internal resistance 1 Ω is connected across one of its sides. If a 4 μF capaci29 Jan, 2024 (M)Charging and Discarging of capacitors
  19. 19The electric current through a wire varies with time as I = I 0 + β t , where I 0 = 20 A and β = 3 A s - 1 . The amount of electric charge c29 Jan, 2024 (M)Electric Current and Drift of Electrons
  20. 20A galvanometer having coil resistance 10 Ω shows a full scale deflection for a current of 3 mA . For it to measure a current of 8 A , the va29 Jan, 2024 (M)Electric Instruments
  21. 21The deflection in moving coil galvanometer falls from 25 divisions to 5 division when a shunt of 24 Ω is applied. The resistance of galvanom29 Jan, 2024 (M)Electric Instruments
  22. 22The 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 m29 Jan, 2024 (M)Magnetic Dipole
  23. 23A square loop of side 10 cm and resistance 0 . 7 Ω is placed vertically in the east-west plane. A uniform magnetic field of 0 . 20 T is set 29 Jan, 2024 (M)Magnetic Flux, Faraday's and Lenz law
  24. 24A convex mirror of radius of curvature 30 cm forms an image that is half the size of the object. The object distance is :29 Jan, 2024 (M)Mirror Formula, Reflection in Spherical Mirror
  25. 25A 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 index29 Jan, 2024 (M)Lens Formula, Refraction of light from curved surface
  26. 26In a double slit experiment shown in figure, when light of wavelength 400 nm is used, dark fringe is observed at P . If D = 0 . 2 m , the mi29 Jan, 2024 (M)Youngs Double Slit Experiment
  27. 27The 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 the29 Jan, 2024 (M)Matter Waves
  28. 28When a hydrogen atom going from n = 2 to n = 1 emits a photon, its recoil speed is x 5 m s - 1 . Where x = _______. (Use: mass of hydrogen a29 Jan, 2024 (M)Atomic Spectrum
  29. 29The explosive in a Hydrogen bomb is a mixture of H 2 1 , H 3 1 and Li 6 3 in some condensed form. The chain reaction is given by Li 6 3 + n 29 Jan, 2024 (M)Nuclear reactions
  30. 30In the given circuit, the breakdown voltage of the Zener diode is 3 . 0 V . What is the value of I z ?29 Jan, 2024 (M)Diodes

Frequently Asked Questions

1.How many questions are in the JEE Main 2024 29th January Morning Shift paper?

This paper has 90 questions in total - 30 each from Chemistry, Mathematics, and Physics.

2.Can I practise questions from just one subject?

Yes. Use the Chemistry, Mathematics, and Physics tabs at the top of the page to jump directly to that subject's question set within this shift.

3.Is this the same paper for all students who appeared in the morning shift?

JEE Main uses different question sets across shifts and sessions to maintain exam integrity, so this page reflects the specific paper administered in the 29th January 2024 morning shift.

4.Where can I find the evening shift paper for the same date?

The JEE Main 2024 29th January Evening Shift paper is listed separately - you can switch to it from the "JEE Main Paper Wise PYQs" panel, under JEE Main 29th January 2024.

5.How is the JEE Main 2024 29th January Morning Shift paper structured?

The JEE Main 2024 29th January Morning Shift paper on MARKS has 90 questions, organised by subject:

  • Chemistry: 30 questions - 20 single-correct and 10 numerical-value.
  • Mathematics: 30 questions - 20 single-correct and 10 numerical-value.
  • Physics: 30 questions - 20 single-correct and 10 numerical-value.
6.How difficult is the JEE Main 2024 29th January Morning Shift paper?

Each question on MARKS carries a difficulty rating. Of the 90 rated questions in this paper, 37 (41%) are easy, 39 (43%) are medium and 14 (16%) are hard. Subject wise:

  • Chemistry: 12 easy, 13 medium, 5 hard
  • Mathematics: 11 easy, 15 medium, 4 hard
  • Physics: 14 easy, 11 medium, 5 hard
7.Which chapters were asked the most in the JEE Main 2024 29th January Morning Shift paper?

The chapters with the most questions in each subject were:

  • Chemistry: Hydrocarbons (5), General Organic Chemistry (4), and Biomolecules (2).
  • Mathematics: Functions (3), Three Dimensional Geometry (3), and Complex Number (2).
  • Physics: Current Electricity (3), Electrostatics (3), and Capacitance (2).
8.Are there any out-of-syllabus questions in the JEE Main 2024 29th January Morning Shift paper?

Yes. 5 of the 90 questions in this paper are marked on MARKS as outside the current syllabus. You can still practise them for the concept, but they are a lower priority if you are short on time.

9.Where can I find the solutions for the JEE Main 2024 29th January Morning Shift paper?

Open any question on this page. Its page shows the correct answer and, where one is available, the worked solution. A downloadable PDF of the whole shift is coming soon.

10.How should I use the JEE Main 2024 29th January Morning Shift paper to check my preparation?

Set a timer, attempt the 90 questions as you would in the exam, and only then open the answers. Note which subjects and chapters cost you the most marks, and revise those first using the chapter-wise practice for JEE Main. Repeating this with other papers shows whether the same weak spots keep coming back.

11.Will the JEE Main 2024 29th January Morning Shift paper help me prepare for JEE Main 2027?

Yes. Every past paper shows the question styles and topics JEE Main has asked before, and a solved paper gives you a realistic benchmark for speed and accuracy. Use it along with the other papers to spot the chapters that keep returning.