JEE Main 2020 · September session

JEE Main 5 September 2020, Shift 1

75 questions: 15 numerical-answer and 60 multiple choice. 5 were rated hard and 27 easy. Its hard-question count was the joint 9th highest of the 12 2020 shifts Lumi analysed. The biggest chapter was Amines, with 2 questions.

Questions: 75; none dropped
Numerical answer: 15; 20% of the shift
Hard: 5; 7% of the shift
Chapters asked: 60; 11 questions with a figure

Key findings · 5 Sep 2020, Shift 1

1
5 hard questions (7%): the joint 9th highest count of the 12 2020 shifts Lumi analysed. Across those shifts the hard share ran from 5% to 16%.
2
Physics was the hardest section, with 2 of 25 rated hard; Chemistry had the most easy questions (14 of 25).
3
58 questions tested a new idea, one no earlier year had asked: 94% of the 62 questions tagged to an idea.
4
4 came back from 2017: the same idea had been asked in the 2017 shifts Lumi analysed.
5
24 shared an idea with another 2020 shift (39% of tagged questions). Shifts in the same year can test the same idea in a new setting.
6
Biggest chapters: Electrostatic Potential and Capacitance in Physics (2), Amines in Chemistry (2) and Complex Numbers and Quadratic Equations in Maths (2).

The shift at a glance

Subjects, difficulty and chapters

Physics

25 Q · 5 numerical

Easy 7Medium 16Hard 2

Top chapters

Chemistry

25 Q · 5 numerical

Easy 14Medium 9Hard 2

Top chapters

Maths

25 Q · 5 numerical

Easy 6Medium 18Hard 1

Top chapters

Complex Numbers and Quadratic Equations2 Q
Conic Sections2 Q
Continuity and Differentiability2 Q
Determinants2 Q
Integrals2 Q
Sequences and Series2 Q

Question format

Single correct48 Q
Numerical value15 Q
Diagram based10 Q
Other2 Q

What each question asks you to do

Calculation29 Q
Multi-step23 Q
Recall8 Q
Conceptual6 Q
Data or graph4 Q
Application4 Q
Diagram reading1 Q

Most common: Calculation.

Against the other 2020 shifts

This shift next to the 11 other 2020 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
8 Jan, Shift 1	74	22%	11%	20%	92%	34%
8 Jan, Shift 2	75	28%	11%	20%	92%	39%
9 Jan, Shift 1	75	23%	16%	20%	99%	40%
9 Jan, Shift 2	73	27%	7%	21%	95%	48%
2 Sep, Shift 1	75	28%	5%	20%	95%	40%
2 Sep, Shift 2	75	20%	7%	20%	97%	32%
3 Sep, Shift 1	74	32%	12%	20%	91%	37%
3 Sep, Shift 2	75	21%	16%	20%	98%	29%
4 Sep, Shift 1	75	20%	16%	20%	98%	37%
4 Sep, Shift 2	75	32%	13%	20%	97%	39%
5 Sep, Shift 1	75	36%	7%	20%	94%	31%
6 Sep, Shift 2	75	31%	13%	20%	97%	41%

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

Open25 this shift3092 · 33%33%8/830299720720358540200225
Open25 this shift3084 · 33%33%8/830298716720359538199224
Open25 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 75 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

75 of 75 questions

Physics25 questions

7 easy16 medium2 hard

Chemistry25 questions

14 easy9 medium2 hard

Q26
Which of the following is not an essential amino acid ?
Biomolecules
EasySingle correct
Q27
The increasing order of basicity of the following compounds is :
Amines Basicity of Nitrogen Heterocycles
MediumDiagram based · figureNew ideaIdea asked in 3 years
Q28
In the following reaction sequence the major products A and B are :
Hydrocarbons Aromatic Hydrocarbons Intramolecular Friedel-Crafts
HardDiagram based · figureNew ideaIdea asked in 2 years
Q29
The most appropriate reagent for conversion of $\mathrm{C_2H_5CN}$ into $\mathrm{CH_3CH_2CH_2NH_2}$ is :
Amines Reduction of Nitriles vs Isocyanides
EasySingle correctNew ideaIdea asked in 2 years
Q30
The increasing order of the acidity of the $\alpha$ -hydrogen of the following compounds is :
Aldehydes, Ketones and Carboxylic Acids Organic Acidity and Basicity Acidity of Alpha-Hydrogens in Carbonyls
MediumDiagram based · figureNew ideaIdea asked in 2 years
Q31
Which of the following derivatives of alcohols is unstable in an aqueous base ?
Alcohols, Phenols and Ethers Carboxylic Acids and Derivatives Saponification Mechanism and Kinetics
MediumOther · figureNew idea
Q32
If a person is suffering from the deficiency of nor-adrenaline, what kind of drug can be suggested ?
Chemistry in Everyday Life Therapeutic Drug Classes
EasySingle correctNew ideaIdea asked in 3 years
Q33
In the sixth period, the orbitals that are filled are :
Classification of Elements and Periodicity in Properties Quantum Numbers Aufbau Principle and n+l Rule
EasySingle correctNew ideaIdea asked in 5 years
Q34
An Ellingham diagram provides information about :
General Principles and Processes of Isolation of Elements Metallurgical Extraction Ellingham Diagram Basics
EasySingle correctNew ideaIdea asked in 3 years
Q35
The equation that represents the water-gas shift reaction is :
Hydrogen Hydrogen and Hydrides Water-Gas Shift Reaction
EasySingle correctNew ideaIdea asked in 2 years
Q36
The structure of $\mathrm{PCl_5}$ in the solid state is :
The p-Block Elements VSEPR Theory Solid State Ionic Geometries
EasySingle correctNew idea
Q37
The correct electronic configuration and spin-only magnetic moment (BM) of $\mathrm{Gd^{3+}}$ ( $Z = 64$ ), respectively, are :
The d- and f-Block Elements f-Block Elements Lanthanide Electronic Configuration
EasySingle correctNew ideaIdea asked in 5 years
Q38
The values of the crystal field stabilization energies for a high spin $\mathrm{d^6}$ metal ion in octahedral and tetrahedral fields, respectively, are :
Coordination Compounds Crystal Field Theory CFSE Calculation
MediumSingle correctNew ideaIdea asked in 6 years
Q39
The condition that indicates a polluted environment is :
Environmental Chemistry Eutrophication and Dissolved Oxygen Limits
EasySingle correctNew ideaIdea asked in 3 years
Q40
A diatomic molecule $\mathrm{X_2}$ has a body-centred cubic (bcc) structure with a cell edge of 300 pm. The density of the molecule is 6.17 g cm $^{-3}$ . The number of molecules present in 200 g of $\mathrm{X_2}$ is : (Avogadro constant ( $\mathrm{N_A}$ )…
The Solid State Crystal Lattices Unit Cell Density
MediumSingle correctNew ideaIdea asked in 4 years
Q41
The difference between the radii of $3^{\mathrm{rd}}$ and $4^{\mathrm{th}}$ orbits of $\mathrm{Li^{2+}}$ is $\Delta R_1$ . The difference between the radii of $3^{\mathrm{rd}}$ and $4^{\mathrm{th}}$ orbits of $\mathrm{He^+}$ is $\Delta R_2$ . Ratio…
Structure of Atom Bohr's Atomic Theory Bohr Radius Calculation
MediumSingle correctIdea asked in 6 yearsAsked the year before
Q42
The potential energy curve for the $\mathrm{H_2}$ molecule as a function of internuclear distance is :
Chemical Bonding and Molecular Structure
EasyDiagram based · figure
Q43
Consider the following reaction : $\mathrm{N_2O_4(g) \rightleftharpoons 2NO_2(g)}$ ; $\Delta \mathrm{H}^{0} = +58$ kJ For each of the following cases (a, b), the direction in which the equilibrium shifts is : (a) Temperature is decreased. (b) Pressure is…
Equilibrium Chemical Equilibrium Le Chatelier's Principle
MediumOtherNew ideaIdea asked in 2 years
Q44
A flask contains a mixture of compounds A and B. Both compounds decompose by first-order kinetics. The half-lives for A and B are 300 s and 180 s, respectively. If the concentrations of A and B are equal initially, the time required for the concentration of…
Chemical Kinetics Integrated Rate Equations First Order Integrated Rate Law
MediumSingle correctNew ideaIdea asked in 6 years
Q45
Identify the correct molecular picture showing what happens at the critical micellar concentration (CMC) of an aqueous solution of a surfactant ([shaded circle symbol] polar head; [wavy line symbol] non-polar tail ; [small dot symbol] water).
Surface Chemistry Colloids Micelle Formation and CMC
EasyDiagram based · figureNew ideaIdea asked in 3 years
Q46
The total number of coordination sites in ethylenediaminetetraacetate ( $\mathrm{EDTA^{4-}}$ ) is __________.
Coordination Compounds
EasyNumerical value
Q47
The minimum number of moles of $\mathrm{O_2}$ required for complete combustion of 1 mole of propane and 2 moles of butane is __________.
Some Basic Concepts of Chemistry Stoichiometry Hydrocarbon Combustion General Equation
EasyNumerical valueNew ideaIdea asked in 4 years
Q48
A soft drink was bottled with a partial pressure of $\mathrm{CO_2}$ of 3 bar over the liquid at room temperature. The partial pressure of $\mathrm{CO_2}$ over the solution approaches a value of 30 bar when 44 g of $\mathrm{CO_2}$ is dissolved in 1 kg of…
Solutions pH and Buffers pH of Weak Acids and Bases
HardNumerical valueNew ideaIdea asked in 4 years
Q49
An oxidation-reduction reaction in which 3 electrons are transferred has a $\Delta \mathrm{G}^{0}$ of 17.37 kJ mol $^{-1}$ at $25^{\circ}$ C. The value of $\mathrm{E^0_{cell}}$ (in V) is __________ $\times 10^{-2}$ . (1 F $= 96{,}500$ C mol $^{-1}$ )
Electrochemistry Nernst Equation Gibbs Energy and EMF
EasyNumerical valueNew ideaIdea asked in 3 years
Q50
The number of chiral carbon(s) present in peptide, Ile-Arg-Pro, is __________.
Biomolecules
MediumNumerical value

Maths25 questions

6 easy18 medium1 hard

Q51
A survey shows that 73% of the persons working in an office like coffee, whereas 65% like tea. If $x$ denotes the percentage of them, who like both coffee and tea, then $x$ cannot be :
Relations and Functions Sets and Relations Venn Diagrams
EasySingle correctNew ideaIdea asked in 3 years
Q52
If the four complex numbers $z$ , $\overline{z}$ , $\overline{z}-2\mathrm{Re}(\overline{z})$ and $z-2\mathrm{Re}(z)$ represent the vertices of a square of side 4 units in the Argand plane, then $|z|$ is equal to :
Complex Numbers and Quadratic Equations Complex Numbers - Polar Form Geometric Rotation
MediumSingle correctNew ideaIdea asked in 2 years
Q53
The product of the roots of the equation $9x^2-18|x|+5=0$ , is :
Complex Numbers and Quadratic Equations Quadratic Roots Roots of Modulus Quadratics
EasySingle correctNew ideaIdea asked in 6 years
Q54
If the minimum and the maximum values of the function $f:\left[\frac{\pi}{4},\frac{\pi}{2}\right]\to\mathbf{R}$ , defined by $f(\theta)=\begin{vmatrix}-\sin^2\theta & -1-\sin^2\theta & 1\\ -\cos^2\theta & -1-\cos^2\theta & 1\\ 12 & 10 & -2\end{vmatrix}$ are m…
Determinants
MediumSingle correct
Q55
Let $\lambda\in\mathbf{R}$ . The system of linear equations $2x_1-4x_2+\lambda x_3=1$ $x_1-6x_2+x_3=2$ $\lambda x_1-10x_2+4x_3=3$ is inconsistent for :
Determinants Cramer's Rule Condition for No Solution
MediumSingle correctIdea asked in 6 yearsAsked the year before
Q56
If $3^{2\sin 2\alpha-1}$ , 14 and $3^{4-2\sin 2\alpha}$ are the first three terms of an A.P. for some $\alpha$ , then the sixth term of this A.P. is :
Sequences and Series AP and GP Conditions for Three Terms in AP or GP
MediumSingle correctIdea asked in 5 yearsAsked the year before
Q57
If $2^{10}+2^{9}\cdot3^{1}+2^{8}\cdot3^{2}+....+2\cdot3^{9}+3^{10}=S-2^{11}$ , then S is equal to :
Sequences and Series AP and GP GP Sum of n terms
MediumSingle correctNew ideaIdea asked in 5 years
Q58
If $\alpha$ is the positive root of the equation, $p(x)=x^2-x-2=0$ , then $\lim_{x\to\alpha^+}\frac{\sqrt{1-\cos(p(x))}}{x+\alpha-4}$ is equal to :
Limits and Derivatives L'Hopital's Rule Trigonometric Simplification Before Differentiation
MediumSingle correctNew idea
Q59
If the function $f(x)=\begin{cases}k_1(x-\pi)^2-1, & x\le\pi\\ k_2\cos x, & x>\pi\end{cases}$ is twice differentiable, then the ordered pair $(k_1, k_2)$ is equal to :
Continuity and Differentiability Existence of Higher Order Derivatives
MediumSingle correctNew ideaIdea asked in 3 years
Q60
If the point P on the curve, $4x^2+5y^2=20$ is farthest from the point Q(0, $-4$ ), then $\mathrm{PQ}^2$ is equal to :
Application of Derivatives Maxima and Minima Shortest Distance from Point to Curve
MediumSingle correctNew idea
Q61
If $\int\left(e^{2x}+2e^{x}-e^{-x}-1\right)e^{\left(e^{x}+e^{-x}\right)}dx$ $=g(x)\,e^{\left(e^{x}+e^{-x}\right)}+c$ , where c is a constant of integration, then g(0) is equal to :
Integrals Integration by Parts Exponential Special Form
HardSingle correctNew idea
Q62
The value of $\int_{-\pi/2}^{\pi/2}\frac{1}{1+e^{\sin x}}dx$ is :
Integrals Definite Integral Properties King's Property
EasySingle correctNew ideaIdea asked in 6 years
Q63
If $y=y(x)$ is the solution of the differential equation $\frac{5+e^x}{2+y}\cdot\frac{dy}{dx}+e^x=0$ satisfying $y(0)=1$ , then a value of $y(\log_e 13)$ is :
Differential Equations Variable Separable Form Initial Value Problem
EasySingle correctIdea asked in 7 yearsAsked the year before
Q64
If the common tangent to the parabolas, $y^2=4x$ and $x^2=4y$ also touches the circle, $x^2+y^2=c^2$ , then c is equal to :
Conic Sections Circle Tangents Condition of tangency
MediumSingle correctNew ideaIdea asked in 4 years
Q65
If the co-ordinates of two points A and B are $(\sqrt{7},0)$ and $(-\sqrt{7},0)$ respectively and P is any point on the conic, $9x^2+16y^2=144$ , then PA + PB is equal to :
Conic Sections Ellipse Eccentricity Focal distance property
EasySingle correctNew ideaIdea asked in 5 years
Q66
If (a, b, c) is the image of the point (1, 2, $-3$ ) in the line, $\frac{x+1}{2}=\frac{y-3}{-2}=\frac{z}{-1}$ , then a + b + c is equal to :
Three Dimensional Geometry Lines in 3D Image of a Point in a Line
MediumSingle correctNew ideaIdea asked in 6 years
Q67
If the volume of a parallelopiped, whose coterminus edges are given by the vectors $\vec{a}=\hat{i}+\hat{j}+n\hat{k}$ , $\vec{b}=2\hat{i}+4\hat{j}-n\hat{k}$ and $\vec{c}=\hat{i}+n\hat{j}+3\hat{k}$ (n $\ge$ 0), is 158 cu.units, then :
Vector Algebra Triple Products STP Geometric Interpretation
MediumSingle correctNew ideaIdea asked in 2 years
Q68
The mean and variance of 7 observations are 8 and 16, respectively. If five observations are 2, 4, 10, 12, 14, then the absolute difference of the remaining two observations is :
Statistics Variance and SD Finding Unknown Observations from Mean and Variance
MediumSingle correctNew ideaIdea asked in 7 years
Q69
If S is the sum of the first 10 terms of the series $\tan^{-1}\left(\frac{1}{3}\right)+\tan^{-1}\left(\frac{1}{7}\right)+\tan^{-1}\left(\frac{1}{13}\right)+\tan^{-1}\left(\frac{1}{21}\right)+....,$ then tan(S) is equal to :
Inverse Trigonometric Functions Inverse Trig Identities Telescoping Inverse Trig Series
MediumSingle correctNew ideaIdea asked in 4 years
Q70
The negation of the Boolean expression $x\leftrightarrow\sim y$ is equivalent to :
Mathematical Reasoning
EasySingle correct
Q71
The number of words, with or without meaning, that can be formed by taking 4 letters at a time from the letters of the word ‘SYLLABUS’ such that two letters are distinct and two letters are alike, is ________.
Permutations and Combinations Permutations with Repetition
MediumNumerical valueNew ideaIdea asked in 4 years
Q72
The natural number m, for which the coefficient of $x$ in the binomial expansion of $\left(x^m+\frac{1}{x^2}\right)^{22}$ is 1540, is ________.
Binomial Theorem
MediumNumerical value
Q73
Let $f(x)=x.\left[\frac{x}{2}\right]$ , for $-10<x<10$ , where [t] denotes the greatest integer function. Then the number of points of discontinuity of $f$ is equal to ________.
Continuity and Differentiability Continuity involving GIF and Fractional Part
MediumNumerical valueNew ideaIdea asked in 6 years
Q74
If the line, $2x-y+3=0$ is at a distance $\frac{1}{\sqrt{5}}$ and $\frac{2}{\sqrt{5}}$ from the lines $4x-2y+\alpha=0$ and $6x-3y+\beta=0$ , respectively, then the sum of all possible values of $\alpha$ and $\beta$ is ________.
Straight Lines Straight Line Distance Distance between parallel lines
MediumNumerical valueNew ideaIdea asked in 4 years
Q75
Four fair dice are thrown independently 27 times. Then the expected number of times, at least two dice show up a three or a five, is ________.
Probability
MediumNumerical value

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 2020 shifts.