JEE Main 2020 · September session

JEE Main 6 September 2020, Shift 2

75 questions: 15 numerical-answer and 60 multiple choice. 10 were rated hard and 23 easy. Its hard-question count was the joint 4th highest of the 12 2020 shifts Lumi analysed. The biggest chapter was System of Particles and Rotational Motion, with 3 questions.

Questions: 75; none dropped
Numerical answer: 15; 20% of the shift
Hard: 10; 13% of the shift
Chapters asked: 61; 7 questions with a figure

Key findings · 6 Sep 2020, Shift 2

1
10 hard questions (13%): the joint 4th 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 5 of 25 rated hard; Chemistry had the most easy questions (14 of 25).
3
60 questions tested a new idea, one no earlier year had asked: 97% of the 62 questions tagged to an idea.
4
2 came back from 2017: the same idea had been asked in the 2017 shifts Lumi analysed.
5
16 shared an idea with another 2020 shift (26% of tagged questions). Shifts in the same year can test the same idea in a new setting.
6
Biggest chapters: System of Particles and Rotational Motion in Physics (3), Equilibrium in Chemistry (2) and Application of Derivatives in Maths (2).

The shift at a glance

Subjects, difficulty and chapters

Physics

25 Q · 5 numerical

Easy 4Medium 16Hard 5

Top chapters

Chemistry

25 Q · 5 numerical

Easy 14Medium 11Hard 0

Top chapters

Maths

25 Q · 5 numerical

Easy 5Medium 15Hard 5

Top chapters

Question format

Single correct55 Q
Numerical value15 Q
Match the list4 Q
Diagram based1 Q

What each question asks you to do

Multi-step31 Q
Calculation17 Q
Recall13 Q
Application8 Q
Conceptual4 Q
Data or graph2 Q

Most common: Multi-step.

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

4 easy16 medium5 hard

Chemistry25 questions

14 easy11 medium0 hard

Q26
Which one of the following statements is not true ?
Biomolecules Carbohydrates Lactose Structure and Linkage
MediumSingle correctNew ideaIdea asked in 2 years
Q27
The correct match between Item - I and Item - II is : Item - I / Item - II (a) Natural rubber (I) 1, 3-butadiene + styrene (b) Neoprene (II) 1, 3-butadiene + acrylonitrile (c) Buna-N (III) Chloroprene (d) Buna-S (IV) Isoprene
Polymers Homopolymers vs Copolymers (Buna-S and Buna-N)
EasyMatch the listNew ideaIdea asked in 2 years
Q28
Which of the following compounds can be prepared in good yield by Gabriel phthalimide synthesis ?
Amines Gabriel Phthalimide Synthesis
EasySingle correct · figureNew ideaIdea asked in 6 years
Q29
The correct match between Item - I (starting material) and Item - II (reagent) for the preparation of benzaldehyde is : Item - I / Item - II (I) Benzene (P) HCl and $\mathrm{SnCl_2}$ , $\mathrm{H_3O^+}$ (II) Benzonitrile (Q) $\mathrm{H_2}$ ,…
Aldehydes, Ketones and Carboxylic Acids Carboxylic Acids and Derivatives Rosenmund Reduction
EasyMatch the listNew ideaIdea asked in 4 years
Q30
The increasing order of the boiling points of the major products A, B and C of the following reactions will be : (a) [figure: but-1-ene, $\mathrm{CH_2=CH-CH_2-CH_3}$ ] + HBr, $\mathrm{(C_6H_5CO)_2}$ (benzoyl peroxide) $\to$ A (b) [figure: 2-methylpropene,…
Hydrocarbons Alkenes and Alkynes Peroxide Effect (Anti-Markovnikov)
MediumSingle correct · figureIdea asked in 3 yearsAsked the year before
Q31
The IUPAC name of the following compound is :
Organic Chemistry: Some Basic Principles and Techniques IUPAC Nomenclature Polyfunctional Aromatic Compounds
MediumSingle correct · figureNew ideaIdea asked in 3 years
Q32
Match the following : Test / Method — Reagent (i) Lucas Test (a) $\mathrm{C_6H_5SO_2Cl}$ / aq. KOH (ii) Dumas method (b) $\mathrm{HNO_3}$ / $\mathrm{AgNO_3}$ (iii) Kjeldahl's method (c) $\mathrm{CuO/CO_2}$ (iv) Hinsberg Test (d) Conc. HCl and…
Organic Chemistry: Some Basic Principles and Techniques Stoichiometry Stoichiometry of Dumas Method
MediumMatch the listNew ideaIdea asked in 4 years
Q33
The element that can be refined by distillation is :
General Principles and Processes of Isolation of Elements Metallurgical Extraction Distillation Refining
EasySingle correctNew idea
Q34
Dihydrogen of high purity ( $>99.95\%$ ) is obtained through :
Hydrogen Hydrogen and Hydrides High Purity Dihydrogen Preparation
EasySingle correctNew ideaIdea asked in 2 years
Q35
Match the following compounds (Column-I) with their uses (Column-II) : Column - I / Column - II (I) $\mathrm{Ca(OH)_2}$ (A) casts of statues (II) NaCl (B) white wash (III) $\mathrm{CaSO_4\cdot\frac{1}{2}H_2O}$ (C) antacid (IV) $\mathrm{CaCO_3}$ (D) washing…
The s-Block Elements
EasyMatch the list
Q36
The reaction of NO with $\mathrm{N_2O_4}$ at 250 K gives :
The p-Block Elements
MediumSingle correct
Q37
Reaction of an inorganic sulphite X with dilute $\mathrm{H_2SO_4}$ generates compound Y. Reaction of Y with NaOH gives X. Further, the reaction of X with Y and water affords compound Z. Y and Z, respectively, are :
The p-Block Elements
MediumSingle correct
Q38
Mischmetal is an alloy consisting mainly of :
The d- and f-Block Elements f-Block Elements Mischmetal Composition and Uses
EasySingle correctNew idea
Q39
For a $\mathrm{d^4}$ metal ion in an octahedral field, the correct electronic configuration is :
Coordination Compounds Crystal Field Theory High and Low Spin States
EasySingle correctNew ideaIdea asked in 7 years
Q40
The average molar mass of chlorine is $35.5\ \mathrm{g\,mol^{-1}}$ . The ratio of $^{35}\mathrm{Cl}$ to $^{37}\mathrm{Cl}$ in naturally occurring chlorine is close to :
Some Basic Concepts of Chemistry Mole Concept Average Atomic Mass from Isotopes
EasySingle correctNew idea
Q41
A crystal is made up of metal ions 'M $_1$ ' and 'M $_2$ ' and oxide ions. Oxide ions form a ccp lattice structure. The cation 'M $_1$ ' occupies 50% of octahedral voids and the cation 'M $_2$ ' occupies 12.5% of tetrahedral voids of oxide lattice. The oxidation…
The Solid State Crystal Lattices Empirical Formula from Void Occupancy
MediumSingle correctNew ideaIdea asked in 3 years
Q42
For a reaction, $4\,\mathrm{M(s)}+n\mathrm{O_2(g)}\rightarrow 2\mathrm{M_2O_n(s)}$ , the free energy change is plotted as a function of temperature. The temperature below which the oxide is stable could be inferred from the plot as the point at which :
General Principles and Processes of Isolation of Elements Metallurgical Extraction Ellingham Diagram Basics
MediumSingle correctNew ideaIdea asked in 3 years
Q43
A set of solutions is prepared using 180 g of water as a solvent and 10 g of different non-volatile solutes A, B and C. The relative lowering of vapour pressure in the presence of these solutes are in the order [Given, molar mass of A = 100 g mol $^{-1}$ ; B =…
Solutions Colligative Properties Relative Lowering of VP
EasySingle correctNew ideaIdea asked in 7 years
Q44
The value of $\mathrm{K_c}$ is 64 at 800 K for the reaction $\mathrm{N_2(g)+3H_2(g)\rightleftharpoons 2NH_3(g)}$ The value of $\mathrm{K_c}$ for the following reaction is : $\mathrm{NH_3(g)\rightleftharpoons \frac{1}{2}N_2(g)+\frac{3}{2}H_2(g)}$
Equilibrium Chemical Equilibrium Equilibrium Constant for Modified Equations
EasySingle correctNew ideaIdea asked in 4 years
Q45
For the given cell ; $\mathrm{Cu(s)|Cu^{2+}(C_1\ M)||Cu^{2+}(C_2\ M)|Cu(s)}$ change in Gibbs energy ( $\Delta G$ ) is negative, if :
Electrochemistry Nernst Equation Concentration Cells
MediumSingle correctNew ideaIdea asked in 3 years
Q46
The atomic number of Unnilunium is ________.
Classification of Elements and Periodicity in Properties Periodic Trends IUPAC Nomenclature for Z > 100
EasyNumerical valueNew ideaIdea asked in 3 years
Q47
If the solubility product of $\mathrm{AB_2}$ is $3.20\times10^{-11}\ \mathrm{M^3}$ , then the solubility of $\mathrm{AB_2}$ in pure water is ________ $\times10^{-4}\ \mathrm{mol\,L^{-1}}$ . [Assuming that neither kind of ion reacts with water]
Equilibrium Solubility Product General Ksp Formula for AxBy Salts
EasyNumerical valueNew ideaIdea asked in 2 years
Q48
The rate of a reaction decreased by 3.555 times when the temperature was changed from 40 °C to 30 °C. The activation energy (in kJ mol $^{-1}$ ) of the reaction is ________. Take; R = 8.314 J mol $^{-1}$ K $^{-1}$ , ln 3.555 = 1.268
Chemical Kinetics Arrhenius Equation Two-Point Arrhenius Equation
MediumNumerical valueNew ideaIdea asked in 4 years
Q49
For Freundlich adsorption isotherm, a plot of $\log(x/m)$ ( $y$ -axis) and $\log p$ ( $x$ -axis) gives a straight line. The intercept and slope for the line is 0.4771 and 2, respectively. The mass of gas, adsorbed per gram of adsorbent if the initial pressure is…
Surface Chemistry Adsorption Freundlich Logarithmic Plot
MediumNumerical valueNew ideaIdea asked in 4 years
Q50
A solution of phenol in chloroform when treated with aqueous NaOH gives compound P as a major product. The mass percentage of carbon in P is ________. (to the nearest integer) (Atomic mass : C = 12; H = 1; O = 16)
Alcohols, Phenols and Ethers Alcohols and Phenols Reimer-Tiemann Reaction
EasyNumerical valueNew ideaIdea asked in 4 years

Maths25 questions

5 easy15 medium5 hard

Q51
For a suitably chosen real constant a, let a function, $f:\mathbf{R}-\{-a\}\to\mathbf{R}$ be defined by $f(x)=\frac{a-x}{a+x}$ . Further suppose that for any real number $x\neq -a$ and $f(x)\neq -a$ , $(f\circ f)(x)=x$ . Then $f\left(-\frac{1}{2}\right)$ is…
Relations and Functions
MediumSingle correct
Q52
If $\alpha$ and $\beta$ are the roots of the equation $2x(2x+1)=1$ , then $\beta$ is equal to :
Complex Numbers and Quadratic Equations Quadratic Roots Root-Coefficient Relation
MediumSingle correctNew ideaIdea asked in 6 years
Q53
Let $z=x+iy$ be a non-zero complex number such that $z^2=i|z|^2$ , where $i=\sqrt{-1}$ , then $z$ lies on the :
Complex Numbers and Quadratic Equations Complex Numbers - Polar Form Modulus and Argument
MediumSingle correctNew ideaIdea asked in 5 years
Q54
Let $\theta=\frac{\pi}{5}$ and $A=\begin{bmatrix}\cos\theta&\sin\theta\\-\sin\theta&\cos\theta\end{bmatrix}$ . If $B=A+A^4$ , then $\det(B)$ :
Determinants
HardSingle correct
Q55
If the constant term in the binomial expansion of $\left(\sqrt{x}-\frac{k}{x^2}\right)^{10}$ is 405, then $|k|$ equals :
Binomial Theorem
MediumSingle correct
Q56
The common difference of the A.P. $b_1, b_2, \ldots, b_m$ is 2 more than the common difference of A.P. $a_1, a_2, \ldots, a_n$ . If $a_{40}=-159$ , $a_{100}=-399$ and $b_{100}=a_{70}$ , then $b_1$ is equal to :
Sequences and Series AP and GP AP General Term
MediumSingle correctNew ideaIdea asked in 4 years
Q57
For all twice differentiable functions $f:\mathbf{R}\to\mathbf{R}$ , with $f(0)=f(1)=f'(0)=0$ ,
Continuity and Differentiability Mean Value Theorem Rolle's Theorem for Second Derivative
MediumSingle correctNew idea
Q58
Let $f:\mathbf{R}\to\mathbf{R}$ be a function defined by $f(x)=\max\{x,x^2\}$ . Let S denote the set of all points in $\mathbf{R}$ , where $f$ is not differentiable. Then :
Continuity and Differentiability Differentiability of Max/Min Functions
EasySingle correctNew ideaIdea asked in 5 years
Q59
If the tangent to the curve, $y=f(x)=x\log_e x$ , $(x>0)$ at a point $(c, f(c))$ is parallel to the line - segment joining the points $(1, 0)$ and $(e, e)$ , then c is equal to :
Application of Derivatives Mean Value Theorem Finding the Mean Value Point
MediumSingle correctNew idea
Q60
The set of all real values of $\lambda$ for which the function $f(x)=(1-\cos^2 x)\cdot(\lambda+\sin x)$ , $x\in\left(-\frac{\pi}{2},\frac{\pi}{2}\right)$ , has exactly one maxima and exactly one minima, is :
Application of Derivatives Maxima and Minima First Derivative Test
HardSingle correctNew ideaIdea asked in 3 years
Q61
The integral $\int_1^2 e^x\cdot x^x(2+\log_e x)\,dx$ equals :
Integrals Integration by Substitution Exact Exponential-Function Derivative Substitution
HardSingle correctNew idea
Q62
The area (in sq. units) of the region enclosed by the curves $y=x^2-1$ and $y=1-x^2$ is equal to :
Application of Integrals Area Under Curves Area Between Curves
EasySingle correctNew ideaIdea asked in 7 years
Q63
If $y=\left(\frac{2}{\pi}x-1\right)\mathrm{cosec}\,x$ is the solution of the differential equation, $\frac{dy}{dx}+p(x)y=\frac{2}{\pi}\mathrm{cosec}\,x$ , $0<x<\frac{\pi}{2}$ , then the function $p(x)$ is equal to :
Differential Equations Linear Differential Equations Standard Linear Form Identification
MediumSingle correctNew ideaIdea asked in 3 years
Q64
Let L denote the line in the $xy$ -plane with $x$ and $y$ intercepts as 3 and 1 respectively. Then the image of the point $(-1,-4)$ in this line is :
Straight Lines Straight Line Distance Image of a point in a line
EasySingle correctNew ideaIdea asked in 4 years
Q65
The centre of the circle passing through the point $(0,1)$ and touching the parabola $y=x^2$ at the point $(2,4)$ is :
Conic Sections Circle Tangents Family of Circles Touching a Line
HardSingle correctNew ideaIdea asked in 5 years
Q66
If the normal at an end of a latus rectum of an ellipse passes through an extremity of the minor axis, then the eccentricity e of the ellipse satisfies :
Conic Sections Ellipse Eccentricity Eccentricity when Normal at LR End Passes Through Minor Axis
MediumSingle correctNew idea
Q67
A plane P meets the coordinate axes at A, B and C respectively. The centroid of $\Delta$ ABC is given to be $(1,1,2)$ . Then the equation of the line through this centroid and perpendicular to the plane P is :
Three Dimensional Geometry Planes in 3D Intercept Form of Plane
MediumSingle correctNew idea
Q68
The probabilities of three events A, B and C are given by $P(A)=0.6$ , $P(B)=0.4$ and $P(C)=0.5$ . If $P(A\cup B)=0.8$ , $P(A\cap C)=0.3$ , $P(A\cap B\cap C)=0.2$ , $P(B\cap C)=\beta$ and $P(A\cup B\cup C)=\alpha$ , where $0.85\le\alpha\le0.95$ , then $\beta$ lies…
Probability
HardSingle correct
Q69
The angle of elevation of the summit of a mountain from a point on the ground is $45^\circ$ . After climbing up one km towards the summit at an inclination of $30^\circ$ from the ground, the angle of elevation of the summit is found to be $60^\circ$ . Then the…
Trigonometric Functions
MediumSingle correct
Q70
Consider the statement : "For an integer n, if $n^3-1$ is even, then n is odd." The contrapositive statement of this statement is :
Mathematical Reasoning
EasySingle correct
Q71
The sum of distinct values of $\lambda$ for which the system of equations $(\lambda-1)x+(3\lambda+1)y+2\lambda z=0$ $(\lambda-1)x+(4\lambda-2)y+(\lambda+3)z=0$ $2x+(3\lambda+1)y+3(\lambda-1)z=0$ , has non-zero solutions, is ________.
Determinants Cramer's Rule Parameter Evaluation in Homogeneous Systems
MediumNumerical valueNew ideaIdea asked in 5 years
Q72
The number of words (with or without meaning) that can be formed from all the letters of the word "LETTER" in which vowels never come together is ________.
Permutations and Combinations The Block/Tie Method
MediumNumerical valueNew ideaIdea asked in 4 years
Q73
Suppose that a function $f:\mathbf{R}\to\mathbf{R}$ satisfies $f(x+y)=f(x)f(y)$ for all $x,y\in\mathbf{R}$ and $f(1)=3$ . If $\sum_{i=1}^{n}f(i)=363$ , then n is equal to ________.
Relations and Functions AP and GP GP Sum of n terms
MediumNumerical valueNew ideaIdea asked in 5 years
Q74
If $\vec{x}$ and $\vec{y}$ be two non-zero vectors such that $|\vec{x}+\vec{y}|=|\vec{x}|$ and $2\vec{x}+\lambda\vec{y}$ is perpendicular to $\vec{y}$ , then the value of $\lambda$ is ________.
Vector Algebra Dot Product Expansion of Sum of Vectors Squared
EasyNumerical valueNew ideaIdea asked in 4 years
Q75
Consider the data on $x$ taking the values $0, 2, 4, 8, \ldots, 2^n$ with frequencies ${}^nC_0, {}^nC_1, {}^nC_2, \ldots, {}^nC_n$ respectively. If the mean of this data is $\frac{728}{2^n}$ , then n is equal to ________.
Statistics Variance and SD Mean of Discrete Data
MediumNumerical valueNew ideaIdea asked in 4 years

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.