JEE Main 2020 · September session

JEE Main 2 September 2020, Shift 1

75 questions: 15 numerical-answer and 60 multiple choice. 4 were rated hard and 21 easy. Its hard-question count was the 12th highest of the 12 2020 shifts Lumi analysed. The biggest chapter was Application of Derivatives, with 3 questions.

Questions: 75; none dropped
Numerical answer: 15; 20% of the shift
Hard: 4; 5% of the shift
Chapters asked: 61; 16 questions with a figure

Key findings · 2 Sep 2020, Shift 1

1
4 hard questions (5%): the 12th highest count of the 12 2020 shifts Lumi analysed. Across those shifts the hard share ran from 5% to 16%.
2
58 questions tested a new idea, one no earlier year had asked: 95% of the 61 questions tagged to an idea.
3
3 came back from 2017: the same idea had been asked in the 2017 shifts Lumi analysed.
4
27 shared an idea with another 2020 shift (44% of tagged questions). Shifts in the same year can test the same idea in a new setting.
5
Biggest chapters: System of Particles and Rotational Motion in Physics (2), Coordination Compounds in Chemistry (3) and Application of Derivatives in Maths (3).

The shift at a glance

Subjects, difficulty and chapters

Physics

25 Q · 5 numerical

Easy 7Medium 18Hard 0

Top chapters

Chemistry

25 Q · 5 numerical

Easy 9Medium 13Hard 3

Top chapters

Maths

25 Q · 5 numerical

Easy 5Medium 19Hard 1

Top chapters

Question format

Single correct42 Q
Numerical value15 Q
Diagram based14 Q
Other2 Q
Assertion–reason1 Q
Two statements1 Q

What each question asks you to do

Multi-step30 Q
Calculation22 Q
Conceptual8 Q
Recall7 Q
Application6 Q
Diagram reading1 Q
Data or graph1 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

7 easy18 medium0 hard

Chemistry25 questions

9 easy13 medium3 hard

Q26
An open beaker of water in equilibrium with water vapour is in a sealed container. When a few grams of glucose are added to the beaker of water, the rate at which water molecules :
Solutions Colligative Properties Relative Lowering of VP
MediumSingle correctNew ideaIdea asked in 7 years
Q27
For the following Assertion and Reason, the correct option is Assertion (A) : When Cu (II) and sulphide ions are mixed, they react together extremely quickly to give a solid. Reason (R) : The equilibrium constant of…
Equilibrium
MediumAssertion–reason
Q28
Which of the following is used for the preparation of colloids ?
Surface Chemistry Colloids Bredig's Arc Method
EasySingle correctNew idea
Q29
If $\mathrm{AB_4}$ molecule is a polar molecule, a possible geometry of $\mathrm{AB_4}$ is :
Chemical Bonding and Molecular Structure VSEPR Theory Net Dipole Moment from VSEPR Symmetry
EasySingle correctNew ideaIdea asked in 4 years
Q30
The figure that is not a direct manifestation of the quantum nature of atoms is :
Structure of Atom
MediumDiagram based · figure
Q31
Which one of the following graphs is not correct for ideal gas ? $d$ = Density, $P$ = Pressure, $T$ = Temperature
States of Matter Ideal Gas Laws Graphical Analysis of Gas Laws
MediumDiagram based · figureNew idea
Q32
In general, the property (magnitudes only) that shows an opposite trend in comparison to other properties across a period is :
Classification of Elements and Periodicity in Properties Periodic Trends Atomic and Ionic Radii Trends
EasySingle correctNew ideaIdea asked in 3 years
Q33
While titrating dilute HCl solution with aqueous NaOH, which of the following will not be required ?
Some Basic Concepts of Chemistry
EasySingle correct
Q34
The metal mainly used in devising photoelectric cells is :
The s-Block Elements s-Block Elements Photoelectric Application of K and Cs
EasySingle correctNew ideaIdea asked in 2 years
Q35
On heating compound (A) gives a gas (B) which is a constituent of air. This gas when treated with $\mathrm{H_2}$ in the presence of a catalyst gives another gas (C) which is basic in nature. (A) should not be :
The p-Block Elements Group 15 & 16 Preparation of Dinitrogen
MediumSingle correctNew ideaIdea asked in 2 years
Q36
For octahedral Mn(II) and tetrahedral Ni(II) complexes, consider the following statements : (I) both the complexes can be high spin. (II) Ni(II) complex can very rarely be low spin. (III) with strong field ligands, Mn(II) complexes can be low spin. (IV)…
Coordination Compounds Crystal Field Theory High and Low Spin States
MediumOtherNew ideaIdea asked in 7 years
Q37
Consider that a $d^{6}$ metal ion ( $\mathrm{M^{2+}}$ ) forms a complex with aqua ligands, and the spin only magnetic moment of the complex is 4.90 BM. The geometry and the crystal field stabilization energy of the complex is :
Coordination Compounds Crystal Field Theory CFSE Calculation
HardSingle correctNew ideaIdea asked in 6 years
Q38
The statement that is not true about ozone is :
Environmental Chemistry Ozone Layer Depletion
EasySingle correctNew ideaIdea asked in 4 years
Q39
The IUPAC name for the following compound is :
Organic Chemistry: Some Basic Principles and Techniques IUPAC Nomenclature Functional Group Priority
EasyDiagram based · figureNew ideaIdea asked in 6 years
Q40
In Carius method of estimation of halogen, 0.172 g of an organic compound showed presence of 0.08 g of bromine. Which of these is the correct structure of the compound ?
Organic Chemistry: Some Basic Principles and Techniques
MediumDiagram based · figure
Q41
The major product in the following reaction is : 1-methyl-1-vinylcyclopentane ( $\mathrm{H_3C}$ and $\mathrm{CH=CH_2}$ on the same ring carbon of cyclopentane) $\xrightarrow[\text{Heat}]{\mathrm{H_3O^+}}$
Hydrocarbons Alkenes and Alkynes Carbocation Rearrangements
HardDiagram based · figureNew ideaIdea asked in 3 years
Q42
The increasing order of the following compounds towards HCN addition is : (i) 3-methoxybenzaldehyde ( $\mathrm{H_3CO}$ meta to CHO) (ii) 2-nitrobenzaldehyde ( $\mathrm{NO_2}$ ortho to CHO) (iii) 2-methoxybenzaldehyde ( $\mathrm{OCH_3}$ ortho to CHO) (iv)…
Aldehydes, Ketones and Carboxylic Acids Nucleophilic Addition Aldehyde vs Ketone Reactivity
MediumDiagram based · figureNew ideaIdea asked in 2 years
Q43
The major aromatic product C in the following reaction sequence will be : 2-methyl-2H-chromene (benzene ring fused to a pyran ring with O, a CH(CH3) next to O and a CH=CH in the ring) $\xrightarrow[\Delta]{\mathrm{HBr\ (excess)}}$ A…
Haloalkanes and Haloarenes Ethers Excess Hot HI Cleavage
HardDiagram based · figureNew idea
Q44
Which of the following compounds will show retention in configuration on nucleophilic substitution by $\mathrm{OH^-}$ ion ?
Haloalkanes and Haloarenes
MediumDiagram based · figure
Q45
Consider the following reactions : (i) Glucose + ROH $\xrightarrow{\text{dry HCl}}$ Acetal $\xrightarrow{x\ \text{eq. of }(\mathrm{CH_3CO})_2\mathrm{O}}$ acetyl derivative (ii) Glucose $\xrightarrow{\mathrm{Ni/H_2}}$ A…
Biomolecules Carbohydrates Acetylation of Glucose
MediumOtherNew idea
Q46
The internal energy change (in J) when 90 g of water undergoes complete evaporation at $100^\circ$ C is ______. (Given : $\Delta H_{vap}$ for water at 373 K = 41 kJ/mol, $R=8.314\ \mathrm{JK^{-1}\ mol^{-1}}$ )
Thermodynamics (Chemistry)Enthalpy and Hess's Law Relation Between ΔH and ΔU
EasyNumerical valueNew ideaIdea asked in 4 years
Q47
The Gibbs energy change (in J) for the given reaction at $[\mathrm{Cu^{2+}}]=[\mathrm{Sn^{2+}}]=1$ M and 298 K is : $\mathrm{Cu(s)+Sn^{2+}(aq.)\rightarrow Cu^{2+}(aq.)+Sn(s)}$ ; ( $E^0_{\mathrm{Sn^{2+}|Sn}}=-0.16$ V, $E^0_{\mathrm{Cu^{2+}|Cu}}=0.34$ V, Take…
Electrochemistry Nernst Equation Gibbs Energy and EMF
EasyNumerical valueNew ideaIdea asked in 3 years
Q48
The mass of gas adsorbed, $x$ , per unit mass of adsorbate, $m$ , was measured at various pressures, $p$ . A graph between $\log\frac{x}{m}$ and $\log p$ gives a straight line with slope equal to 2 and the intercept equal to 0.4771. The value of $\frac{x}{m}$ …
Surface Chemistry Adsorption Freundlich Logarithmic Plot
MediumNumerical valueNew ideaIdea asked in 4 years
Q49
The oxidation states of iron atoms in compounds (A), (B) and (C), respectively, are $x$ , $y$ and $z$ . The sum of $x$ , $y$ and $z$ is ______. (A) $\mathrm{Na_4[Fe(CN)_5(NOS)]}$ (B) $\mathrm{Na_4[FeO_4]}$ (C) $\mathrm{[Fe_2(CO)_9]}$
Coordination Compounds Coordination Nomenclature Oxidation State Calculation
MediumNumerical valueNew ideaIdea asked in 4 years
Q50
The number of chiral carbons present in the molecule given below is ______.
Haloalkanes and Haloarenes Stereoisomerism Chiral Centers
MediumNumerical value · figureNew ideaIdea asked in 5 years

Maths25 questions

5 easy19 medium1 hard

Q51
If $R=\{(x, y) : x, y\in \mathbf{Z},\ x^{2}+3y^{2}\le 8\}$ is a relation on the set of integers $\mathbf{Z}$ , then the domain of $R^{-1}$ is :
Relations and Functions Sets and Relations Inverse Relations
EasySingle correctNew idea
Q52
Let $\alpha$ and $\beta$ be the roots of the equation, $5x^{2}+6x-2=0$ . If $S_n=\alpha^{n}+\beta^{n}$ , $n=1, 2, 3, \ldots$ , then :
Complex Numbers and Quadratic Equations Quadratic Roots Newton's Sums
EasySingle correctNew ideaIdea asked in 7 years
Q53
The value of $\left(\frac{1+\sin\frac{2\pi}{9}+i\cos\frac{2\pi}{9}}{1+\sin\frac{2\pi}{9}-i\cos\frac{2\pi}{9}}\right)^{3}$ is :
Complex Numbers and Quadratic Equations Complex Numbers - Polar Form Conversion of sin(θ) + i cos(θ)
MediumSingle correctNew idea
Q54
Let $A$ be a $2\times2$ real matrix with entries from $\{0, 1\}$ and $|A|\neq0$ . Consider the following two statements : (P) If $A\neq I_2$ , then $|A|=-1$ (Q) If $|A|=1$ , then $\mathrm{tr}(A)=2$ , where $I_2$ denotes $2\times2$ identity matrix and…
Matrices
MediumTwo statements
Q55
Let $S$ be the set of all $\lambda\in\mathbf{R}$ for which the system of linear equations $2x-y+2z=2$ $x-2y+\lambda z=-4$ $x+\lambda y+z=4$ has no solution. Then the set $S$
Determinants Cramer's Rule Condition for No Solution
MediumSingle correctIdea asked in 6 yearsAsked the year before
Q56
Let $\alpha>0$ , $\beta>0$ be such that $\alpha^{3}+\beta^{2}=4$ . If the maximum value of the term independent of $x$ in the binomial expansion of $\left(\alpha x^{\frac{1}{9}}+\beta x^{-\frac{1}{6}}\right)^{10}$ is $10k$ , then $k$ is equal to :
Binomial Theorem
HardSingle correct
Q57
The sum of the first three terms of a G.P. is $S$ and their product is 27. Then all such $S$ lie in :
Sequences and Series AP and GP Symmetric Selection of GP Terms
MediumSingle correctNew idea
Q58
If $|x|<1$ , $|y|<1$ and $x\neq y$ , then the sum to infinity of the following series $(x+y)+(x^{2}+xy+y^{2})+(x^{3}+x^{2}y+xy^{2}+y^{3})+\ldots$ is :
Sequences and Series AP and GP Infinite GP Sum
MediumSingle correctNew ideaIdea asked in 6 years
Q59
If a function $f(x)$ defined by $f(x)=\begin{cases} ae^{x}+be^{-x}, & -1\le x<1 \\ cx^{2}, & 1\le x\le 3 \\ ax^{2}+2cx, & 3<x\le 4 \end{cases}$ be continuous for some $a, b, c\in\mathbf{R}$ and $f'(0)+f'(2)=e$ , then the value of $a$ is :
Continuity and Differentiability Continuity at a Point
MediumSingle correctNew ideaIdea asked in 4 years
Q60
If the tangent to the curve $y=x+\sin y$ at a point $(a, b)$ is parallel to the line joining $\left(0, \frac{3}{2}\right)$ and $\left(\frac{1}{2}, 2\right)$ , then :
Application of Derivatives Tangents and Normals Tangents to Implicit Curves
MediumSingle correctNew ideaIdea asked in 2 years
Q61
If $p(x)$ be a polynomial of degree three that has a local maximum value 8 at $x=1$ and a local minimum value 4 at $x=2$ ; then $p(0)$ is equal to :
Application of Derivatives Maxima and Minima Determining Coefficients from Extrema
MediumSingle correctNew ideaIdea asked in 3 years
Q62
Area (in sq. units) of the region outside $\frac{|x|}{2}+\frac{|y|}{3}=1$ and inside the ellipse $\frac{x^{2}}{4}+\frac{y^{2}}{9}=1$ is :
Application of Integrals Area Under Curves Area of Ellipse and Sectors
MediumSingle correctNew ideaIdea asked in 2 years
Q63
Let $y=y(x)$ be the solution of the differential equation, $\frac{2+\sin x}{y+1}\cdot\frac{dy}{dx}=-\cos x,\ y>0,\ y(0)=1$ . If $y(\pi)=a$ and $\frac{dy}{dx}$ at $x=\pi$ is $b$ , then the ordered pair $(a, b)$ is equal to :
Differential Equations Variable Separable Form Initial Value Problem
MediumSingle correctIdea asked in 7 yearsAsked the year before
Q64
Let P(h, k) be a point on the curve $y=x^{2}+7x+2$ , nearest to the line, $y=3x-3$ . Then the equation of the normal to the curve at P is :
Application of Derivatives Tangents and Normals Equation of Normal
MediumSingle correctIdea asked in 3 yearsAsked the year before
Q65
A line parallel to the straight line $2x-y=0$ is tangent to the hyperbola $\frac{x^{2}}{4}-\frac{y^{2}}{2}=1$ at the point $(x_1, y_1)$ . Then $x_1^{2}+5y_1^{2}$ is equal to :
Conic Sections
MediumSingle correct
Q66
The plane passing through the points $(1, 2, 1)$ , $(2, 1, 2)$ and parallel to the line, $2x=3y$ , $z=1$ also passes through the point :
Three Dimensional Geometry Planes in 3D Plane Through Two Points Parallel to a Vector
MediumSingle correctNew ideaIdea asked in 2 years
Q67
Let $X=\{x\in\mathbf{N} : 1\le x\le 17\}$ and $Y=\{ax+b : x\in X$ and $a, b\in\mathbf{R}, a>0\}$ . If mean and variance of elements of Y are 17 and 216 respectively then $a+b$ is equal to :
Statistics Variance and SD Effect of Linear Transformations
MediumSingle correctNew ideaIdea asked in 2 years
Q68
Box I contains 30 cards numbered 1 to 30 and Box II contains 20 cards numbered 31 to 50. A box is selected at random and a card is drawn from it. The number on the card is found to be a non-prime number. The probability that the card was drawn from Box I is :
Probability Bayes' Theorem Theorem of Total Probability
MediumSingle correctNew ideaIdea asked in 3 years
Q69
The domain of the function $f(x)=\sin^{-1}\left(\frac{|x|+5}{x^{2}+1}\right)$ is $(-\infty, -a]\cup[a, \infty)$ . Then a is equal to :
Inverse Trigonometric Functions Inverse Trig Domains Domain of Inverse Trig with Modulus Arguments
MediumSingle correctNew idea
Q70
The contrapositive of the statement "If I reach the station in time, then I will catch the train" is :
Mathematical Reasoning
EasySingle correct
Q71
If the letters of the word 'MOTHER' be permuted and all the words so formed (with or without meaning) be listed as in a dictionary, then the position of the word 'MOTHER' is ___________.
Permutations and Combinations Lexicographic Rank of a Word
MediumNumerical valueNew ideaIdea asked in 4 years
Q72
If $\lim_{x\to 1}\frac{x+x^{2}+x^{3}+\ldots+x^{n}-n}{x-1}=820,\ (n\in\mathbf{N})$ then the value of n is equal to ___________.
Limits and Derivatives L'Hopital's Rule First Principle Derivative Recognition
MediumNumerical valueNew idea
Q73
The integral $\int_{0}^{2}\left||x-1|-x\right|dx$ is equal to ___________.
Integrals Definite Integral Properties Modulus Function Interval Splitting
EasyNumerical valueNew ideaIdea asked in 3 years
Q74
The number of integral values of k for which the line, $3x+4y=k$ intersects the circle, $x^{2}+y^{2}-2x-4y+4=0$ at two distinct points is ___________.
Conic Sections Circle Tangents Condition of tangency
MediumNumerical valueNew ideaIdea asked in 4 years
Q75
Let $\vec{a}$ , $\vec{b}$ and $\vec{c}$ be three unit vectors such that $|\vec{a}-\vec{b}|^{2}+|\vec{a}-\vec{c}|^{2}=8$ . Then $|\vec{a}+2\vec{b}|^{2}+|\vec{a}+2\vec{c}|^{2}$ is equal to ___________.
Vector Algebra Dot Product Algebraic Properties
EasyNumerical valueNew idea

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.