Loading…

Questions and solutions are free, always.

Practise

Practice
Revision queue
Revision planner
Take a test
Build a test

Browse

All topics
Blog
Notes & printables
Physics
Chemistry
Mathematics

Account

Your numbers
Study plan
Saved
Plus
Privacy
Terms
Delete account

Skip to content

JEE Main 2020 2 Sep Evening shift Question Paper with Solutions | JEE Arc

Past papers

Ctrl K

Practice
Revise
Tests
Topics
More
Dashboard Settings My progress Notes & printables Revision planner Study plan Saved questions Explore Plus

81days to JEE Main

Study

PracticePractice

Study planPlanPlus

Library

Past papersPapers

ProgressProgress

SettingsSettings

JEE Arc Plus₹49 a month. Mocks, plans, notes.→?GuestSign in to save progress

JEE Main 20202 Sep, Evening shift

Physics 14Chemistry 15Mathematics 25

Physics

Q46A light ray enters a solid glass sphere of refractive index μ = 3 at an angle of incidence 60^(o). The ray is both reflected and refracted at the farther…Optics
Q50A wire of density 9 × 10^–3 kg cm^–3 is stretched between two clamps 1 m apart. The resulting strain in the wire is 4.9 × 10^–4. The lowest frequency of the…Properties of Solids and Liquids
Q5882An inductance coil has a reactance of 100 Ω. When an AC signal of frequency 1000 Hz is applied to the coil, the applied voltage leads the current by 45^(o)…Electromagnetic Induction and Alternating Currents
Q5997In a hydrogen atom the electron makes a transition from (n + 1)^(t)h level to the n^(t)h level. If n >> 1, the frequency of radiation emitted is proportional…Atoms and Nuclei
Q6140A 10 μ F capacitor is fully charged to a potential difference of 50 V. After removing the source voltage it is connected to an uncharged capacitor in…Electrostatics
Q6548A particle is moving 5 times as fast as an electron. The ratio of the de-Broglie wavelength of the particle to that of the electron is 1.878 × 10^–4. The mass…Dual Nature of Matter and Radiation
Q6771In a plane electromagnetic wave, the directions of electric field and magnetic field are represented by k and 2 i - 2 j, respectively. What is the unit vector…Electromagnetic Waves
Q7136The height ‘h’ at which the weight of a body will be the same as that at the same depth ‘h’ from the surface of the earth is (Radius of the earth is R and…Gravitation
Q7377An ideal gas in a closed container is slowly heated. As its temperature increases, which of the following statements are true? (A) the mean free path of the…Kinetic Theory of Gases
Q7519When the temperature of a metal wire is increased from 0^(o)C to 10^(o)C, its length increases by 0.02%. The percentage change in its mass density will be…Thermodynamics
Q8012A capillary tube made of glass of radius 0.15 mm is dipped vertically in a beaker filled with methylene iodide (surface tension = 0.05 Nm^–1, density = 667 kg…Properties of Solids and Liquids
Q8053Two uniform circular discs are rotating independently in the same direction around their common axis passing through their centres. The moment of inertia and…Rotational Motion
Q8237If momentum (P), area (A) and time (T) are taken to be the fundamental quantities then the dimensional formula for energy isUnits and Measurements
Q8428In a Young’s double slit experiment, 16 fringes are observed in a certain segment of the screen when light of a wavelength 700 nm is used. If the wavelength…Optics

Chemistry

Q5For the disproportionation reaction 2Cu⁺(aq) ⇌ Cu(s) + Cu²⁺(aq) at 298 K. ln K (where K is the equilibrium constant) is _ _ _ _ _ _ × 10^–1. Given: (E_ C u²⁺…Redox Reactions and Electrochemistry
Q9The oxidation states of transition metal atoms in K₂Cr₂O₇, KMnO₄ and K₂FeO₄, respectively, are x, y and z. The sum of x, y and z is _ _ _ _.Redox Reactions and Electrochemistry
Q12The ratio of the mass percentages of ‘C H’ and ‘C O’ of a saturated acyclic organic compound ‘X’ are 4: 1 and 3: 4 respectively. Then, the moles of oxygen gas…Some Basic Concepts in Chemistry
Q13The work function of sodium metal is 4.41 × 10^–19 J. If photons of wavelength 300 nm are incident on the metal, the kinetic energy of the ejected electrons…Atomic Structure
Q15The heat of combustion of ethanol into carbon dioxide and water is – 327 kcal at constant pressure. The heat evolved (in cal) at constant volume and 27^(o)C…Chemical Thermodynamics
Q296The molecular geometry of SF₆ is octahedral. What is the geometry of SF₄ (including lone pair(s) of electrons, if any)?Chemical Bonding and Molecular Structure
Q298The shape / structure of [XeF₅]^– and XeO₃F₂, respectively, areChemical Bonding and Molecular Structure
Q342Match the type of interaction in column A with the distance dependence of their interaction energy in column B A B (i) ion-ion (a) 1/r (ii) dipole-dipole (b)…Chemical Bonding and Molecular Structure
Q681The one that is not expected to show isomerism is:Coordination Compounds
Q1386Cast iron is used for the manufacture of:Isolation of Elements
Q1634Three elements X, Y and Z are in the 3^(r)d period of the periodic table. The oxides of X, Y and Z, respectively, are basic, amphoteric and acidic. The…Classification of Elements and Periodicity in Properties
Q1726If you spill a chemical toilet cleaning liquid on your hand, your first aid would bePrinciples Related to Practical Chemistry
Q1880Two elements A and B have similar chemical properties. They don’t form solid hydrogencarbonates, but react with nitrogen to form nitrides. A and B…S Block Elements
Q1994The size of a raw mango shrinks to a much smaller size when kept in a concentrated salt solution. Which one of the following processes can explain this?Solutions
Q2201The number of subshells associated with n = 4 and m = –2 quantum numbers isAtomic Structure

Mathematics

Q20For a positive integer n, (1 + 1/x)ⁿ is expanded in increasing powers of x. If three consecutive coefficients in this expansion are in the ratio, 2: 5: 12…Binomial Theorem and Its Simple Applications
Q22Let [t] denote the greatest integer less than or equal to t. Then the value of ∫₁² | 2x - [ 3x ] |dx is _ _ _.Integral Calculus
Q24If y = Σ k = 1 ⁶ k cos ⁻¹ 3/5 cos kx - 4/5 sin kx \, then dy/dx at x = 0 is _ _ _ _.Limit, Continuity and Differentiability
Q37If the variance of the terms in an increasing A.P., b₁, b₂, b₃,....,b₁₁ is 90, then the common difference of this A.P. is _ _ _ _.Statistics and Probability
Q40Let the position vectors of points 'A' and 'B' be i + j + k and 2 i + j + 3 k, respectively. A point 'P' divides the line segment AB internally in the ratio…Vector Algebra
Q2423A plane passing through the point (3, 1, 1) contains two lines whose direction ratios are 1, –2, 2 and 2, 3, –1 respectively. If this plane also passes…Three Dimensional Geometry
Q2714Let f: (–1, ∞) → R be defined by f(0) = 1 and f(x) = 1/x log e (1 + x), x ≠ 0. Then the function f:Limit, Continuity and Differentiability
Q2778The equation of the normal to the curve y = (1+x)²y + cos ²(sin^–1x) at x = 0 is:Limit, Continuity and Differentiability
Q2826Consider a region R = (x, y) R: x² ≤ y ≤ 2x. if a line y = α divides the area of region R into two equal parts, then which of the following is true?Integral Calculus
Q3278The imaginary part of (3 + 2√(- 54))^(1/2) - (3 - 2√(- 54))^(1/2) can be:Complex Numbers and Quadratic Equations
Q3604If a curve y = f(x), passing through the point (1, 2), is the solution of the differential equation, 2x²dy= (2xy + y²)dx, then f(1/2) is equal to:Differential Equations
Q3864Let f: R → R be a function which satisfies f(x + y) = f(x) + f(y) x, y R. If f(1) = 2 and g(n) = Σ k = 1 ^((n - 1)) f(k), n N then the value of n, for which…Sets, Relations and Functions
Q3969For some θ (0,(π)/2), if the eccentricity of the hyperbola, x²–y²sec² θ = 10 is 5 times the eccentricity of the ellipse, x²sec² θ + y² = 5, then the length of…Coordinate Geometry
Q4252lim x → 0 (tan ((π)/4 + x))^(1/x) is equal to:Limit, Continuity and Differentiability
Q4338Which of the following is a tautology ?Mathematical Reasoning
Q4580Let A = X = (x, y, z)^(T): PX = 0 and x² + y² + z² = 1 where P = [ 1 2 1 - 2 3 - 4 1 9 - 1 ], then the set A:Matrices and Determinants
Q4662Let a, b, c R be all non-zero and satisfy a³ + b³ + c³ = 2. If the matrix A = (a b c b c a c a b) satisfies A^(T)A = I, then a value of abc can be:Matrices and Determinants
Q4720The area (in sq. units) of an equilateral triangle inscribed in the parabola y² = 8x, with one of its vertices on the vertex of this parabola, is:Coordinate Geometry
Q4767Let n > 2 be an integer. Suppose that there are n Metro stations in a city located along a circular path. Each pair of stations is connected by a straight…Permutations and Combinations
Q4954Let E^(C) denote the complement of an event E. Let E₁, E₂ and E₃ be any pairwise independent events with P(E₁) > 0 and P(E₁ E₂ E₃) = 0. Then P(E₂^(C)…Statistics and Probability
Q5096Let f(x) be a quadratic polynomial such that f(–1) + f(2) = 0. If one of the roots of f(x) = 0 is 3, then its other root lies in:Complex Numbers and Quadratic Equations
Q5215If the sum of first 11 terms of an A.P., a₁, a₂, a₃,.... is 0 (a ≠ 0), then the sum of the A.P., a₁, a₃, a₅,....., a₂₃ is ka₁, where k is equal to:Sequence and Series
Q5314Let S be the sum of the first 9 terms of the series: x + k a + x² + (k + 2) a + x³ + (k + 4) a + x⁴ + (k + 6) a +.... where a ≠ 0 and x ≠ 1. If S = (x¹⁰ - x +…Sequence and Series
Q5582The set of all possible values of θ in the interval (0, π) for which the points (1, 2) and (sin θ, cos θ) lie on the same side of the line x + y = 1 is:Coordinate Geometry
Q5653If the equation cos⁴ θ + sin⁴ θ + λ = 0 has real solutions for θ, then λ lies in the interval:Trigonometry