JEE Main 2024 · April session

JEE Main 4 April 2024, Shift 2

90 questions: 30 numerical-answer and 60 multiple choice. 16 were rated hard and 30 easy. Its hard-question count was the 2nd highest of the 18 2024 shifts Lumi analysed. The biggest chapter was Amines, with 3 questions.

Questions: 90; none dropped
Numerical answer: 30; 33% of the shift
Hard: 16; 18% of the shift
Chapters asked: 60; 11 questions with a figure

Key findings · 4 Apr 2024, Shift 2

1
16 hard questions (18%): the 2nd highest count of the 18 2024 shifts Lumi analysed. Across those shifts the hard share ran from 8% to 20%.
2
Maths was the hardest section, with 15 of 30 rated hard; Physics had the most easy questions (16 of 30).
3
9 questions tested a new idea, one no earlier year had asked: 13% of the 72 questions tagged to an idea.
4
29 came back from 2023: the same idea had been asked in the 2023 shifts Lumi analysed.
5
45 shared an idea with another 2024 shift (63% of tagged questions). Shifts in the same year can test the same idea in a new setting.
6
Biggest chapters: Current Electricity in Physics (2), Amines in Chemistry (3) and Conic Sections in Maths (3).

The shift at a glance

Subjects, difficulty and chapters

Physics

30 Q · 10 numerical

Easy 16Medium 14Hard 0

Top chapters

Chemistry

30 Q · 10 numerical

Easy 13Medium 16Hard 1

Top chapters

Maths

30 Q · 10 numerical

Easy 1Medium 14Hard 15

Top chapters

Question format

Single correct44 Q
Numerical value30 Q
Diagram based6 Q
Other4 Q
Two statements3 Q
Match the list2 Q
Assertion–reason1 Q

What each question asks you to do

Calculation30 Q
Multi-step23 Q
Application12 Q
Conceptual11 Q
Recall11 Q
Diagram reading3 Q

Most common: Calculation.

Against the other 2024 shifts

This shift next to the 17 other 2024 shifts Lumi analysed

Shares are of each shift’s scored questions. The highlighted row is this shift.

Shift	Questions	Easy	Hard	Numerical	New ideas	Multi-step
27 Jan, Shift 1	90	50%	9%	33%	29%	29%
29 Jan, Shift 1	89	38%	10%	34%	28%	34%
30 Jan, Shift 1	90	37%	11%	33%	22%	17%
30 Jan, Shift 2	89	42%	10%	34%	32%	29%
31 Jan, Shift 1	90	39%	12%	33%	31%	34%
31 Jan, Shift 2	89	28%	13%	34%	23%	30%
1 Feb, Shift 1	90	36%	11%	33%	21%	19%
1 Feb, Shift 2	88	40%	8%	34%	19%	21%
4 Apr, Shift 1	89	26%	20%	33%	26%	36%
4 Apr, Shift 2	90	33%	18%	33%	13%	26%
5 Apr, Shift 1	90	40%	8%	33%	22%	27%
5 Apr, Shift 2	90	37%	10%	33%	23%	32%
6 Apr, Shift 1	88	43%	11%	34%	18%	22%
6 Apr, Shift 2	89	35%	15%	33%	28%	33%
8 Apr, Shift 1	90	31%	9%	33%	19%	37%
8 Apr, Shift 2	90	33%	12%	33%	19%	28%
9 Apr, Shift 1	90	31%	11%	33%	20%	50%
9 Apr, Shift 2	90	31%	16%	33%	27%	39%

New ideas: share of a shift’s questions testing an idea no earlier year had asked. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.

Drill down

What this shift asked, and its history

Every chapter this shift asked, with all its topics and ideas. Counts and squares cover every analysed shift from 2017 to 2026; rows this shift did not ask are faded, and each row lists this shift’s questions with the most recent from other shifts.

subjectAskedShareYears’17’20’21’22’23’24’25’26

Open30 this shift3092 · 33%33%8/830299720720358540200225
Open30 this shift3084 · 33%33%8/830298716720359538199224
Open30 this shift3065 · 33%33%8/829299715710354533200225

Squares are the 8 years with analysed shifts, 2017 to 2026. A number is the questions that year when there is more than one; the shade is scaled to one shift, so a year with more analysed shifts (1 to 24 a year) does not look darker. Share is of the level above.

Every question

All 90 questions of this shift

The opening words of each question, with its chapter, topic, idea and how hard it was. Open one for the full text, options and the official answer. “New idea” means no earlier year had tested it.

Subject

Difficulty

Idea

Find

90 of 90 questions

Physics30 questions

16 easy14 medium0 hard

Q31
Which of the diode circuit shows correct biasing used for the measurement of dynamic resistance of p-n junction diode :
Semiconductor Electronics: Materials, Devices and Simple Circuits Semiconductor Diodes Forward and Reverse Biasing
EasyDiagram based · figureIdea asked in 4 yearsAsked the year before
Q32
Applying the principle of homogeneity of dimensions, determine which one is correct, where $T$ is time period, $G$ is gravitational constant, $M$ is mass, $r$ is radius of orbit.
Units and Measurements
EasySingle correct
Q33
A cyclist starts from the point $P$ of a circular ground of radius 2 km and travels along its circumference to the point S. The displacement of a cyclist is:
Motion in a Straight Line Kinematics in 1D Distance and Displacement Distinction
EasySingle correct · figureIdea asked in 3 yearsAsked the year before
Q34
A 2 kg brick begins to slide over a surface which is inclined at an angle of $45^\circ$ with respect to horizontal axis. The co-efficient of static friction between their surfaces is:
Laws of Motion Friction Angle of Friction
EasySingle correctIdea asked in 2 years
Q35
A 90 kg body placed at 2R distance from surface of earth experiences gravitational pull of : (R = Radius of earth, g = 10 m s $^{-2}$ )
Gravitation
EasySingle correct
Q36
A body of $m$ kg slides from rest along the curve of vertical circle from point $A$ to $B$ in friction less path. The velocity of the body at $B$ is: (given, $R = 14$ m, $g = 10$ m/s $^2$ and $\sqrt{2} = 1.4$ )
Work, Energy and Power Work and Kinetic Energy Conservative Forces
MediumSingle correct · figureNew ideaIdea asked in 2 years
Q37
Correct formula for height of a satellite from earths surface is:
Gravitation Orbital Mechanics Orbital Time Period
MediumSingle correctIdea asked in 6 yearsAsked the year before
Q38
Given below are two statements : Statement I : The contact angle between a solid and a liquid is a property of the material of the solid and liquid as well. Statement II : The rise of a liquid in a capillary tube does not depend on the inner radius of the…
Mechanical Properties of Fluids Surface Tension Angle of Contact
MediumTwo statementsIdea asked in 2 years
Q39
A sample of gas at temperature $T$ is adiabatically expanded to double its volume. Adiabatic constant for the gas is $\gamma = 3/2$ . The work done by the gas in the process is: ( $\mu$ = 1 mole)
Thermodynamics Thermodynamic Processes Adiabatic Process Analysis
MediumSingle correctIdea asked in 7 yearsAsked the year before
Q40
The translational degrees of freedom ( $f_t$ ) and rotational degrees of freedom ( $f_r$ ) of $CH_4$ molecule are:
Kinetic Theory Kinetic Theory of Gases Degrees of Freedom
EasySingle correctIdea asked in 3 yearsAsked the year before
Q41
A charge $q$ is placed at the center of one of the surface of a cube. The flux linked with the cube is:
Electric Charges and Fields Gauss's Law Flux via Cube Symmetry
MediumSingle correctIdea asked in 2 years
Q42
An electric bulb rated 50 $W$ - 200 $V$ is connected across a 100 $V$ supply. The power dissipation of the bulb is:
Current Electricity Ohm's Law and Resistance Joule Heating and Power
EasySingle correctIdea asked in 6 yearsAsked the year before
Q43
The magnetic moment of a bar magnet is 0.5 Am $^2$ . It is suspended in a uniform magnetic field of $8\times10^{-2}$ T. The work done in rotating it from its most stable to most unstable position is:
Magnetism and Matter Magnetic Dipole Moment Work done in rotating a dipole
EasySingle correctIdea asked in 3 years
Q44
Match List I with List II LIST I | LIST II A. Purely capacitive circuit | I. [figure: phasor diagram, $I$ along the vertical axis (up) and $V$ along the horizontal axis, with a $90^\circ$ angle marked between them] B. Purely inductive circuit | II. [figure:…
Alternating Current Phasor Diagrams Phase Relations in RLC
MediumMatch the list · figureIdea asked in 5 yearsAsked the year before
Q45
Arrange the following in the ascending order of wavelength: A. Gamma rays ( $\lambda_1$ ) B. x - rays ( $\lambda_2$ ) C. Infrared waves ( $\lambda_3$ ) D. Microwaves ( $\lambda_4$ ) Choose the most appropriate answer from the options given below
Electromagnetic Waves
EasyOther
Q46
The width of one of the two slits in a Young's double slit experiment is 4 times that of the other slit. The ratio of the maximum of the minimum intensity in the interference pattern is:
Wave Optics Young's Double Slit Intensity Ratio from Slit Widths
EasySingle correctIdea asked in 4 years
Q47
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Number of photons increases with increase in frequency of light. Reason R: Maximum kinetic energy of emitted electrons increases with the…
Dual Nature of Radiation and Matter Photoelectric Effect Einstein's Photoelectric Equation
MediumAssertion–reasonIdea asked in 5 years
Q48
According to Bohr's theory, the moment of momentum of an electron revolving in 4 $^{th}$ orbit of hydrogen atom is:
Atoms Bohr's Atomic Model Angular Momentum Quantization
EasySingle correctIdea asked in 5 yearsAsked the year before
Q49
Identify the logic gate given in the circuit:
Semiconductor Electronics: Materials, Devices and Simple Circuits Logic Gates Combinational Logic Circuits
EasyDiagram based · figureIdea asked in 7 yearsAsked the year before
Q50
In simple harmonic motion, the total mechanical energy of given system is $E$ . If mass of oscillating particle $P$ is doubled then the new energy of the system for same amplitude is:
Oscillations Energy in SHM Total Mechanical Energy
EasySingle correct · figureNew ideaIdea asked in 2 years
Q51
The disintegration energy $Q$ for the nuclear fission of $^{235}U \to {}^{140}Ce + {}^{94}Zr + n$ is ________ MeV. Given atomic masses of $^{235}U$ : 235.0439 $u$ ; $^{140}Ce$ : 139.9054 $u$ , $^{94}Zr$ : 93.9063 $u$ ; $n$ : 1.0086 $u$ , Value of $c^2$ = 931…
Nuclei Fission and Fusion Q-Value of a Reaction
MediumNumerical valueNew idea
Q52
A light ray is incident on a glass slab of thickness $4\sqrt{3}$ cm and refractive index $\sqrt{2}$ . The angle of incidence is equal to the critical angle for the glass slab with air. The lateral displacement of ray after passing through glass slab is ______…
Ray Optics and Optical Instruments Refraction and Snell's Law Lateral Shift in Slabs
MediumNumerical valueIdea asked in 2 years
Q53
A rod of length 60 $cm$ rotates with a uniform angular velocity 20 rad $s^{-1}$ about its perpendicular bisector, in a uniform magnetic filed 0.5 $T$ . The direction of magnetic field is parallel to the axis of rotation. The potential difference between the…
Electromagnetic Induction Faraday's Law Rotational Motional EMF
MediumNumerical valueIdea asked in 4 yearsAsked the year before
Q54
Two parallel long current carrying wire separated by a distance $2r$ are shown in the figure. The ratio of magnetic field at $A$ to the magnetic field produced at $C$ is $\frac{x}{7}$ . The value of $x$ is ______.
Moving Charges and Magnetism Biot-Savart Law Infinite and semi-infinite wires
MediumNumerical value · figureIdea asked in 2 years
Q55
Two wires $A$ and $B$ are made up of the same material and have the same mass. Wire $A$ has radius of 2.0 mm and wire $B$ has radius of 4.0 $mm$ . The resistance of wire $B$ is 2 $\Omega$ . The resistance of wire $A$ is __________ $\Omega$ .
Current Electricity Ohm's Law and Resistance Resistance of Stretched Wires
MediumNumerical valueIdea asked in 4 yearsAsked the year before
Q56
The displacement of a particle executing SHM is given by $x = 10\sin\left(wt + \frac{\pi}{3}\right)m$ . The time period of motion is 3.14 s. The velocity of the particle at $t = 0$ is __________ $m/s$ .
Oscillations SHM Equations Velocity and Accel vs Time
EasyNumerical valueIdea asked in 4 years
Q57
Mercury is filled in a tube of radius 2 $cm$ up to a height of 30 $cm$ . The force exerted by mercury on the bottom of the tube is ______ $N$ . (Given, atmospheric pressure = $10^5$ $Nm^{-2}$ , density of mercury = $1.36\times10^4$ $kg\,m^{-3}$ , g = 10…
Mechanical Properties of Fluids Fluid Statics Hydrostatic Pressure
MediumNumerical valueIdea asked in 2 yearsAsked the year before
Q58
In a system two particles of masses $m_1$ = 3 $kg$ and $m_2$ = 2 $kg$ are placed at certain distance from each other. The particle of mass $m_1$ is moved towards the center of mass of the system through a distance 2 cm. In order to keep the center of mass of…
System of Particles and Rotational Motion Center of Mass Internal Mass Displacement
EasyNumerical valueNew idea
Q59
A bus moving along a straight highway with speed of 72 $km/h$ is brought to halt within 4 $s$ after applying the brakes. The distance travelled by the bus during this time (Assume the retardation is uniform) is _________ $m$ .
Motion in a Straight Line Kinematics in 1D Uniform Acceleration Equations
EasyNumerical valueIdea asked in 4 yearsAsked the year before
Q60
A parallel plate capacitor of capacitance 12.5 $pF$ is charged by a battery connected between its plates to potential difference of 12.0 V. The battery is now disconnected and a dielectric slab ( $\epsilon_r$ = 6) is inserted between the plates. The change in…
Electrostatic Potential and Capacitance Dielectrics Dielectric with Battery Disconnected
MediumNumerical valueIdea asked in 3 years

Chemistry30 questions

13 easy16 medium1 hard

Q61
Choose the Incorrect Statement about Dalton's Atomic Theory
Some Basic Concepts of Chemistry
EasySingle correct
Q62
The correct statement/s about Hydrogen bonding is/are A. Hydrogen bonding exists when H is covalently bonded to the highly electro negative atom. B. Intermolecular H bonding is present in $o$ -nitro phenol C. Intramolecular H bonding is present in HF. D. The…
Chemical Bonding and Molecular Structure
EasyOther
Q63
The equilibrium constant for the reaction $\mathrm{SO_3(g) \rightleftharpoons SO_2(g) + \frac{1}{2}O_2(g)}$ is $\mathrm{K_c} = 4.9 \times 10^{-2}$ . The value of $\mathrm{K_c}$ for the reaction given below is…
Equilibrium Chemical Equilibrium Equilibrium Constant for Modified Equations
EasySingle correctIdea asked in 4 years
Q64
Fuel cell, using hydrogen and oxygen as fuels, A. has been used in spaceship B. has as efficiency of 40% to produce electricity C. uses aluminum as catalysts D. is eco-friendly E. is actually a type of Galvanic cell only Choose the correct answer from the…
Electrochemistry
EasyOther
Q65
For a strong electrolyte, a plot of molar conductivity against (concentration) $^{1/2}$ is a straight line, with a negative slope, the correct unit for the slope is
Electrochemistry
MediumSingle correct
Q66
Given below are two statements : Statement I : The correct order of first ionization enthalpy values of Li, Na, F and Cl is Na < Li < Cl < F. Statement II : The correct order of negative electron gain enthalpy values of Li, Na, F and Cl is Na < Li < F < Cl…
Classification of Elements and Periodicity in Properties Periodic Trends Ionization Enthalpy Trends
MediumTwo statementsIdea asked in 6 years
Q67
The correct order of the first ionization enthalpy is
Classification of Elements and Periodicity in Properties Periodic Trends p-Block Ionization Enthalpy Inversions
MediumSingle correctIdea asked in 4 yearsAsked the year before
Q68
The number of species from the following that have pyramidal geometry around the central atom is ______ $\mathrm{S_2O_3^{2-}, SO_4^{2-}, SO_3^{2-}, S_2O_7^{2-}}$
Chemical Bonding and Molecular Structure VSEPR Theory Steric Number 4 Shapes
MediumSingle correctIdea asked in 3 yearsAsked the year before
Q69
A first row transition metal in its +2 oxidation state has a spin-only magnetic moment value of 3.86 BM. The atomic number of the metal is
The d- and f-Block Elements d-Block Elements Spin-only Magnetism
EasySingle correctIdea asked in 6 years
Q70
The number of unpaired d-electrons in $\mathrm{[Co(H_2O)_6]^{3+}}$ is ________.
Coordination Compounds Crystal Field Theory High and Low Spin States
MediumSingle correctIdea asked in 7 yearsAsked the year before
Q71
If an iron (III) complex with the formula $\mathrm{[Fe(NH_3)_x(CN)_y]^{-}}$ has no electron in its $\mathrm{e_g}$ orbital, then the value of x + y is
Coordination Compounds Crystal Field Theory High and Low Spin States
MediumSingle correctIdea asked in 7 yearsAsked the year before
Q72
When $\mathrm{MnO_2}$ and $\mathrm{H_2SO_4}$ is added to a salt (A), the greenish yellow gas liberated as salt (A) is :
The p-Block Elements Group 17 & 18 Preparation of Chlorine Gas
EasySingle correctNew idea
Q73
The adsorbent used in adsorption chromatography is/are - A. silica gel B. alumina C. quick lime D. magnesia Choose the most appropriate answer from the options given below :
Organic Chemistry: Some Basic Principles and Techniques Adsorption Adsorption in Chromatography
EasyOtherIdea asked in 2 yearsAsked the year before
Q74
Correct order of stability of carbanion is -
Organic Chemistry: Some Basic Principles and Techniques Inductive and Electromeric Effects Carbanion Stability
MediumDiagram based · figureIdea asked in 3 years
Q75
In the above chemical reaction sequence "A" and "B" respectively are
Aldehydes, Ketones and Carboxylic Acids Alkenes and Alkynes Reductive Ozonolysis Products
MediumDiagram based · figureIdea asked in 7 yearsAsked the year before
Q76
Find out the major product formed from the following reaction. [Me : $-\mathrm{CH_3}$ ] $\xrightarrow{\mathrm{Me_2NH\ (2\ equiv)}}$
Amines SN1 and SN2 Mechanisms Allylic and Benzylic Reactivity in SN2
HardDiagram based · figureIdea asked in 2 years
Q77
$\xrightarrow[\Delta]{\mathrm{KOH(alc)}}$ major product "P" Product P is
Haloalkanes and Haloarenes SN1 and SN2 Mechanisms Temperature Effects on Substitution vs Elimination
MediumDiagram based · figureIdea asked in 2 years
Q78
Common name of Benzene - 1, 2 - diol is -
Alcohols, Phenols and Ethers
EasySingle correct
Q79
$\mathrm{CH_3-CH_2-CH_2-Br + NaOH \xrightarrow{C_2H_5OH}}$ Product 'A' Product A $\xrightarrow{\mathrm{H_2O/H^+}}$ Product "B" Product A $\xrightarrow[\mathrm{H_2O/H_2O_2/\overline{O}H}]{\mathrm{Diborane}}$ Product "C" Consider the above reactions, identify…
Alcohols, Phenols and Ethers Alkenes and Alkynes Hydroboration-Oxidation
EasySingle correctIdea asked in 4 yearsAsked the year before
Q80
Match List I with List II LIST I A. $\alpha$ - Glucose and $\alpha$ - Galactose B. $\alpha$ - Glucose and $\beta$ - Glucose C. $\alpha$ - Glucose and $\alpha$ - Fructose D. $\alpha$ - Glucose and $\alpha$ - Ribose LIST II I. Functional isomers II. Homologous…
Biomolecules Carbohydrates Anomers and Epimers
MediumMatch the listNew ideaIdea asked in 2 years
Q81
The maximum number of orbitals which can be identified with n = 4 and $m_l$ = 0 is ________.
Structure of Atom Quantum Numbers Magnetic Quantum Number
EasyNumerical valueIdea asked in 4 years
Q82
Number of compounds / species from the following with non-zero dipole moment is ________. $\mathrm{BeCl_2, BCl_3, NF_3, XeF_4, CCl_4, H_2O, H_2S, HBr, CO_2, H_2, HCl}$
Chemical Bonding and Molecular Structure VSEPR Theory Net Dipole Moment from VSEPR Symmetry
MediumNumerical valueIdea asked in 4 yearsAsked the year before
Q83
Three moles of an ideal gas are compressed isothermally from 60 L to 20 L using constant pressure of 5 atm. Heat exchange Q for the compression is – ________ Lit. atm.
Thermodynamics (Chemistry)First Law of Thermodynamics Work and Heat in Isothermal Processes
EasyNumerical valueIdea asked in 3 years
Q84
2.7 kg of each of water and acetic acid are mixed. The freezing point of the solution will be -x °C. Consider the acetic acid does not dimerise in water, nor dissociates in water. x = __________ (nearest integer) [Given: Molar mass of water = 18 g…
Solutions Colligative Properties Freezing Point Depression
MediumNumerical valueIdea asked in 4 years
Q85
Consider the following reaction, the rate expression of which is given below $\mathrm{A + B \rightarrow C}$ rate = k $[\mathrm{A}]^{1/2}$ $[\mathrm{B}]^{1/2}$ The reaction is initiated by taking 1 M concentration of A and B each. If the rate constant (k) is…
Chemical Kinetics Rate Laws Fractional Order Kinetics
MediumNumerical valueNew idea
Q86
A first row transition metal with highest enthalpy of atomisation, upon reaction with oxygen at high temperature forms oxides of formula $\mathrm{M_2O_n}$ (where n = 3, 4, 5). The 'spin-only' magnetic moment value of the amphoteric oxide from the above…
The d- and f-Block Elements d-Block Elements Acid-Base Character of Oxides
MediumNumerical valueIdea asked in 4 years
Q87
From 6.55 g of aniline, the maximum amount of acetanilide that can be prepared will be ______ $\times 10^{-1}$ g.
Amines Protection of Aniline for Mono-Substitution
EasyNumerical valueIdea asked in 3 yearsAsked the year before
Q88
The total number of 'sigma' and 'Pi' bonds in 2-oxohex-4-ynoic acid is ______.
Organic Chemistry: Some Basic Principles and Techniques
EasyNumerical value
Q89
Vanillin compound obtained from vanilla beans, has total sum of oxygen atoms and $\pi$ electrons is ________.
Aldehydes, Ketones and Carboxylic Acids
MediumNumerical value
Q90
Phthalimide is made to undergo following sequence of reactions. Phthalimide $\xrightarrow[\text{(ii) Benzylchloride}]{\text{(i) KOH}}$ 'P' Total number of $\pi$ bonds present in product 'P' is/are ______.
Amines Gabriel Phthalimide Synthesis
MediumNumerical valueIdea asked in 6 yearsAsked the year before

Maths30 questions

1 easy14 medium15 hard

Questions from the official paper published by NTA, answers from the final key. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026; see the other 2024 shifts.