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JEE Main 2020 8 Jan Evening shift Question Paper with Solutions | JEE Arc

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JEE Main 20208 Jan, Evening shift

Physics 15Chemistry 16Mathematics 24

Physics

Q44The first member of the Balmer series of hydrogen atom has a wavelength of 6561 Å. The wavelength of the second member of the Balmer series (in nm) is:Atoms and Nuclei
Q46The series combination of two batteries, both of the same emf 10 V, but different internal resistance of 20 Ω and 5 Ω, is connected to the parallel…Current Electricity
Q51A ball is dropped from the top of a 100 m high tower on a planet. In the last 1/2s before hitting the ground, it covers a distance of 19 m. Acceleration due…Gravitation
Q52An asteroid is moving directly towards the centre of the earth. When at a distance of 10R (R is the radius of the earth) from the earths centre, it has a…Gravitation
Q6221A particle of mass m is dropped from a height h above the ground. At the same time another particle of the same mass is thrown vertically upwards from the…Rotational Motion
Q6467A galvanometer having a coil resistance 100 Ω gives a full scale deflection when a current of 1 mA is passed through it. What is the value of the resistance…Current Electricity
Q6551An electron (mass m) with initial velocity v = v₀ i + v₀ j is in an electric field E = - E₀ k. If λ ₀ is initial de-Broglie wavelength of electron, its…Dual Nature of Matter and Radiation
Q6768A plane electromagnetic wave of frequency 25 GHz is propagating in vacuum along the z-direction. At a particular point in space and time, the magnetic field…Electromagnetic Waves
Q7013Consider two charged metallic spheres S₁ and S₂ of radii R₁ and R₂, respectively. The electric fields E₁ (on S₁) and E₂ (on S₂) on their surfaces are such…Electrostatics
Q7374Consider a mixture of n moles of helium gas and 2n moles of oxygen gas (molecules taken to be rigid) as an ideal gas. Its C P /C V value will be:Thermodynamics
Q7817A particle moves such that its position vector r (t) = cos ω t i + sin ω t j where ω is a constant and t is time. Then which of the following statements is…Kinematics
Q8070A uniform sphere of mass 500 g rolls without slipping on a plane horizontal surface with its centre moving at a speed of 5.00 cm/s. Its kinetic energy is:Rotational Motion
Q8153A simple pendulum is being used to determine th value of gravitational acceleration g at a certain place. Th length of the pendulum is 25.0 cm and a stop…Oscillations and Waves
Q8430In a double slit experiment, at a certain point on the screen the path difference between the two interfering waves is 1/8 th of a wavelength. The ratio of…Optics
Q8499A transverse wave travels on a taut steel wire with a velocity of v when tension in it is 2.06 × 10⁴ N. When the tension is changed to T, the velocity changed…Oscillations and Waves

Chemistry

Q4Complexes (ML₅) of metals Ni and Fe have ideal square pyramidal and trigonal bipyramidal grometries, respectively. The sum of the 90°, 120° and 180° L-M-L…Coordination Compounds
Q18At constant volume, 4 mol of an ideal gas when heated from 300 K to 500K changes its internal energy by 5000 J. The molar heat capacity at constant volume is…Chemical Thermodynamics
Q122Kjeldahl's method cannot be used to estimate nitrogen for which of the following compounds?Some Basic Principles of Organic Chemistry
Q164Two monomers in maltose are:Biomolecules
Q252Arrange the following bonds according to their average bond energies in descending order: C–Cl, C–Br, C–F, C–IChemical Bonding and Molecular Structure
Q683Among (a) – (d) the complexes that can display geometrical isomerism are: (a) [Pt(NH₃)₃Cl]⁺ (b) [Pt(NH₃)Cl₅]^– (c) [Pt(NH₃)₂Cl(NO₂)] (d) [Pt(NH₃)₄ClBr]²⁺Coordination Compounds
Q724The correct order of the calculated spin-only magnetic moments of complexs (A) to (D) is: (A) Ni(CO)₄ (B) [Ni(H₂O)₆]Cl₂ (C) Na₂[Ni(CN)₄] (D) PdCl₂(PPh₃)₂Coordination Compounds
Q1306For the following Assertion and Reason, the correct option is: Assertion: The pH of water increases with increase in temperature. Reason: The dissociation of…Equilibrium
Q1385Among the reactions (a) - (d), the reaction(s) that does/do not occur in the blast furnace during the extraction of iron is/are: (a) CaO + SiO₂ → CaSiO₃ (b)…Isolation of Elements
Q1485A metal (A) on heating in nitrogen gas gives compound B. B on treatment with H₂O gives a colourless gas which when passed through CuSO₄ solution gives a dark…p-Block Elements
Q1555The increasing order of the atomic radii of the following elements is:- (a) C (b) O (c) F (d) Cl (e) BrClassification of Elements and Periodicity in Properties
Q1687Preparation of Bakelite proceeds via reactions.Polymers
Q1935Which of the following compounds is likely to show both Frenkel and Schottky defects in its crystalline form?Solid State
Q2115The radius of the second Bohr orbit, in terms of the Bohr radius, a₀, in Li²⁺ is:Atomic Structure
Q2141Hydrogen has three isotopes (A), (B) and (C). If the number of neutron(s) in (A), (B) and (C) respectively, are (x), (y) and (z), the sum of (x), (y) an (z) is:Atomic Structure
Q2225For the following Assertion and Reason, the correct option is Assertion: For hydrogenation reactions, the catalytic activity increases from Group 5 to Group…Surface Chemistry

Mathematics

Q20Let ƒ(x) be a polynomial of degree 3 such that ƒ(–1) = 10, ƒ(1) = –6, ƒ(x) has a critical point at x = –1 and ƒ'(x) has a critical point at x = 1. Then ƒ(x)…Limit, Continuity and Differentiability
Q34Let a line y = mx (m > 0) intersect the parabola, y² = x at a point P, other than the origin. Let the tangent to it at P meet the x-axis at the point Q. If…Coordinate Geometry
Q35The number of 4 letter words (with or without meaning) that can be formed from the eleven letters of the word 'EXAMINATION' is _ _ _ _.Permutations and Combinations
Q40The sum, Σ n = 1 ⁷ (n(n + 1)(2n + 1))/4 is equal to _ _ _ _.Sequence and Series
Q42If (2 sin α)/(√(1 + cos 2α)) = 1/7 and √((1 - cos 2β)/2) = 1/(√(10)) α,β (0,(π)/2) then tan(α + 2 β) is equal to _ _ _.Trigonometry
Q2576The mirror image of the point (1, 2, 3) in a plane is (- 7/3, - 4/3, - 1/3). Which of the following points lies on this plane ?Three Dimensional Geometry
Q2777The length of the perpendicular from the origin, on the normal to the curve, x² + 2xy – 3y² = 0 at the point (2,2) isLimit, Continuity and Differentiability
Q2824The area (in sq. units) of the region (x,y) R²: x² ≤ y ≤ 3 – 2x, is:Integral Calculus
Q2927If α and β be the coefficients of x⁴ and x² respectively in the expansion of (x + √(x² - 1))⁶ + (x - √(x² - 1))⁶, thenBinomial Theorem and Its Simple Applications
Q3127If a line, y = mx + c is a tangent to the circle, (x – 3)² + y² = 1 and it is perpendicular to a line L₁, where L₁ is the tangent to the circle, x² + y² = 1…Coordinate Geometry
Q3306lim x → 0 (∫₀ˣ t sin (10t)dt)/x is equal toIntegral Calculus
Q3382If I = ∫₁² dx/(√(2x³ - 9x² + 12x + 4)), then:Integral Calculus
Q3493The differential equation of the family of curves, x² = 4b(y + b), b R, is:Differential Equations
Q3889Let ƒ: (1, 3) → R be a function defined by f(x) = (x[ x ])/(1 + x²), where [x] denotes the greatest integer ≤ x. Then the range of ƒ isSets, Relations and Functions
Q3951If a hyperbola passes through the point P(10, 16) and it has vertices at (± 6, 0), then the equation of the normal to it at P is:Coordinate Geometry
Q4192Let S be the set of all functions ƒ: [0,1] → R, which are continuous on [0,1] and differentiable on (0,1). Then for every ƒ in S, there exists a c (0,1)…Limit, Continuity and Differentiability
Q4501If A = (2 2 9 4) and I = (1 0 0 1) then 10A^–1 is equal to:Matrices and Determinants
Q4583The system of linear equations λ x + 2y + 2z = 5 2 λ x + 3y + 5z = 8 4x + λ y + 6z = 10 hasMatrices and Determinants
Q5018Let A and B be two events such that the probability that exactly one of them occurs is 2/5 and the probability that A or B occurs is 1/2, then the probability…Statistics and Probability
Q5082Let S be the set of all real roots of the equation, 3ˣ(3ˣ – 1) + 2 = |3ˣ – 1| + |3ˣ – 2|. Then S:Complex Numbers and Quadratic Equations
Q5146Let α = (- 1 + i 3)/2. If a = (1 + α)Σ k = 0 ¹⁰⁰ α ^(2k) and b = Σ k = 0 ¹⁰⁰ α ^(3k), then a and b are the roots of the quadratic equation:Complex Numbers and Quadratic Equations
Q5216If the 10^(t)h term of an A.P. is 1/20 and its 20^(t)h term is 1/10, then the sum of its first 200 terms isSequence and Series
Q5458The mean and variance of 20 observations are found to be 10 and 4, respectively. On rechecking, it was found that an observation 9 was incorrect and the…Statistics and Probability
Q5812Let a = i - 2 j + k and b = i - j + k be two vectors. If c is a vector such that b × c = b × a and c. a = 0, then c. b is equal toVector Algebra