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JEE Main 2019 12 Apr Evening shift Question Paper with Solutions | JEE Arc

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JEE Main 201912 Apr, Evening shift

Physics 20Chemistry 21Mathematics 27

Physics

Q5985The electron in a hydrogen atom first jumps from the third excited state to the second excited state and subsequently to the first excited state. The ratio of…Atoms and Nuclei
Q5986Consider an electron in a hydrogen atom revolving in its second excited state (having radius 4.65 A^(o)). The de-Broglie wavelength of this electron is:Atoms and Nuclei
Q6089Half lives of two radioactive nuclei A and B are 10 minutes and 20 minutes, respectively, If initially a sample has equal number of nuclei, then after 60…Atoms and Nuclei
Q6349In an amplitude modulator circuit, the carrier wave is given by, C(t) = 4 sin(20000 π t) while modulating signal is given by, m(t) = 2 sin (2000 π t). The…Communication Systems
Q6458A moving coil galvanometer, having a resistance G, produces full scale deflection when a current Ig flows through it. This galvanometer can be converted into…Current Electricity
Q6745A plane electromagnetic wave having a frequency v = 23.9 GHz propagates along the positive z-direction in free space. The peak value of the Electric Field is…Electromagnetic Waves
Q6981Let a total charge 2Q be distributed in a sphere of radius R, with the charge density given by ρ (r) = kr, where r is the distance from the centre. Two…Electrostatics
Q7255The ratio of the weights of a body on the Earth’s surface to that on the surface of a planets is 9: 4. The mass of the planet is 1/9 th of that of the Earth…Gravitation
Q7363A diatomic gas with rigid molecules does 10 J of work when expanded at constant pressure. What would be the heat energy absorbed by the gas, in this process ?Thermodynamics
Q7454One kg of water, at 20^(o)C, heated in an electric kettle whose heating element has a mean (temperature averaged) resistance of 20 Ω. The rms voltage in the…Kinetic Theory of Gases
Q7606A spring whose unstretched length is l has a force constant k. The spring is cut into two pieces of unstretched lengths l₁ and l₂ where, l₁ = nl₂ and n is an…Laws of Motion
Q7782Two particles are projected from the same point with the same speed u such that they have the same range R, but different maximum heights, h₁ and h₂. Which of…Kinematics
Q7885A particle is moving with speed v = b x along positive x-axis. Calculate the speed of the particle at time t = τ (assume that the particle is at origin t = 0)Kinematics
Q7900A solid sphere, of radius R acquires a terminal velocity v₁ when falling (due to gravity) through a viscous fluid having a coefficient of viscosity. The…Properties of Solids and Liquids
Q7935A uniform cylindrical rod of length L and radius r, is made from a material whose Young’s modulus of Elasticity equals Y. When this rod is heated by…Properties of Solids and Liquids
Q7981The number density of molecules of a gas depends on their distance r from the origin as, n(r) = n₀e^(- α r⁴). Then the total number of molecules is…Properties of Solids and Liquids
Q8461A system of three polarizers P₁, P₂, P₃ is set up such that the pass axis of P₃ is crossed with respect to that of P₁. The pass axis of P₂ is inclined at…Optics
Q8495A small speaker delivers 2 W of audio output. At what distance from the speaker will one detect 120 dB intensity sound ? [Given reference intensity of sound…Oscillations and Waves
Q8528Two sources of sound S₁ and S₂ produce sound waves of same frequency 660 Hz. A listener is moving from source S₁ towards S₂ with a constant speed u m/s and he…Oscillations and Waves
Q8546A tuning fork of frequency 480 Hz is used in an experiment for measuring speed of sound (v) in air by resonance tube method. Resonance is observed to occur at…Oscillations and Waves

Chemistry

Q155Which of the given statements is INCORRECT about glycogen?Biomolecules
Q409In which one of the following equilibria, K p ≠ K C ?Equilibrium
Q437The INCORRECT match in the following is:Equilibrium
Q508NO₂ required for a reaction is produced by the decomposition of N₂O₅ in CCl₄ as per the equation, 2N₂O₅(g) → 4NO₂(g) + O₂(g). The initial concentration of…Chemical Kinetics
Q561The compound used in the treatment of lead poisoning is:Coordination Compounds
Q591The coordination numbers of Co and Al in [Co(Cl)(en)₂]Cl and K₃[Al(C₂O₄)₃], respectively, are: (en = ethane-1, 2-diamine)Coordination Compounds
Q864The pair that has similar atomic radii is:d- and f-Block Elements
Q1021The primary pollutant that leads to photochemical smog is:Environmental Chemistry
Q1144Which one of the following is likely to give a precipitate with AgNO₃ solution ?Organic Compounds Containing Halogens
Q1145An 'Assertion' and a 'Reason' are given below. Choose the correct answer from the following options: Assertion (A): Vinyl halides do not undergo nucleophilic…Organic Compounds Containing Halogens
Q1195The temporary hardness of a water sample is due to compound X. Boiling this sample converts X to compound Y. X and Y, respectively, are:Hydrogen
Q1284The decreasing order of electrical conductivity of the following aqueous solutions is: 0.1 M Formic acid (A), 0.1 M Acetic acid (B), 0.1 M Benzoic acid (C)Equilibrium
Q1334The molar solubility of Cd(OH)₂ is 1.84 × 10^–5 M in water. The expected solubility of Cd(OH)₂ in a buffer solution of pH = 12 is:Equilibrium
Q1383The correct statement is:Isolation of Elements
Q1568Among the following, the energy of 2s orbital is lowest in:Classification of Elements and Periodicity in Properties
Q1600In comparison to boron, berylium has:Classification of Elements and Periodicity in Properties
Q1927The ratio of number of atoms present in a simple cubic, body centered cubic and face centered cubic structure are, respectively:Solid State
Q1993A solution is prepared by dissolving 0.6 g of urea (molar mass = 60 g mol^–1) and 1.8 g of glucose (molar mass = 180 g mol^–1) in 100 mL of water at 27^(o)C…Solutions
Q207425 g of an unknown hydrocarbon upon burning produces 88 g of CO₂ and 9 g of H₂O. This unknown hydrocarbon contains:Some Basic Concepts in Chemistry
Q2095Thermal decomposition of a Mn compound (X) at 513 K results in compound Y, MnO₂ and gaseous product. MnO₂ reacts with NaCl and concentrated H₂O₄ to give a…Some Basic Concepts in Chemistry
Q2238Among the following, the INCORRECT statement about colloids is:Surface Chemistry

Mathematics

Q2407The length of the perpendicular drawn from the point (2, 1, 4) to the plane containing the lines r = (i + j) + λ (i + 2 j - k) and r = (i + j) + μ (- i + j…Three Dimensional Geometry
Q2561A plane which bisects the angle between the two given planes 2x – y + 2z – 4 = 0 and x + 2y + 2z – 2 = 0, passes through the point:Three Dimensional Geometry
Q2812If the area (in sq. units) bounded by the parabola y² = 4 λ x and the line y = λ x, λ > 0, is 1/9, then λ is equal to:Integral Calculus
Q2914The term independent of x in the expansion of (1/60 - (x⁸)/81).(2x² - 3/(x²))⁶ is equal to:Binomial Theorem and Its Simple Applications
Q2979If ²⁰C₁ + (2²) ²⁰C₂ + (3²) ²⁰C₃ +..... + (20²) ²⁰C₂₀ = A(2^ β), then the ordered pair (A, β) is equal to:Binomial Theorem and Its Simple Applications
Q3082A circle touching the x-axis at (3, 0) and making an intercept of length 8 on the y-axis passes through the point:Coordinate Geometry
Q3154Let z C with Im(z) = 10 and it satisfies (2z - n)/(2z + n) = 2i - 1 for some natural number n. Then:Complex Numbers and Quadratic Equations
Q3363A value of α such that ∫_α ^(α + 1) dx/((x + α)(x + α + 1)) = log e (9/8) is:Integral Calculus
Q3593The general solution of the differential equation (y² – x³)dx – xydy = 0 (x ≠ 0) is: (where c is a constant of integration)Differential Equations
Q3653The derivative of tan ⁻¹((sin x - cos x)/(sin x + cos x)), with respect to x/2, where (x (0,(π)/2)) is:Limit, Continuity and Differentiability
Q3754An ellipse, with foci at (0, 2) and (0, –2) and minor axis of length 4, passes through which of the following points?Coordinate Geometry
Q3913The angle of elevation of the top of a vertical tower standing on a horizontal plane is observed to be 45^(o) from a point A on the plane. Let B be the point…Height and Distance
Q4010Let a (0,(π)/2) be fixed. If the integral ∫ (tan x + tan α)/(tan x - tan α) dx = A(x) cos 2 α + B(x) sin 2 α + C, where C is a constant of integration, then…Integral Calculus
Q4231Let f(x) = 5 – |x – 2| and g(x) = |x + 1|, x R. If f(x) attains maximum value at α and g(x) attains minimum value at β, then lim x → -α β ((x - 1)(x² - 5x +…Limit, Continuity and Differentiability
Q4318The Boolean expression ~(p ⇒ (~q)) is equivalent to:Mathematical Reasoning
Q4447A value of θ (0,(π)/3), for which | 1 + cos ²θ sin ²θ 4 cos 6θ cos ²θ 1 + sin ²θ 4 cos 6θ cos ²θ sin ²θ 1 + 4 cos 6θ | = 0, is:Matrices and Determinants
Q4684The equation of common tangent to the curves y² = 16x and xy = –4, is:Coordinate Geometry
Q4740The tangents to the curve y = (x – 2)² – 1 at its points of intersection with the line x – y = 3, intersect at the point:Coordinate Geometry
Q4771A group of students comprises of 5 boys and n girls. If the number of ways, in which a team of 3 students can randomly be selected from this group such that…Permutations and Combinations
Q4877For an initial screening of an admission test, a candidate is given fifty problems to solve. If the probability that the candidate solve any problem is 4/5…Statistics and Probability
Q4996A person throws two fair dice. He wins Rs. 15 for throwing a doublet (same numbers on the two dice), wins Rs. 12 when the throw results in the sum of 9, and…Statistics and Probability
Q5038A triangle has a vertex at (1, 2) and the mid points of the two sides through it are (–1, 1) and (2, 3). Then the centroid of this triangle is:Properties of Triangle
Q5055If α, β and γ are three consecutive terms of a non-constant G.P. such that the equations α x ² + 2 β x + γ = 0 and x² + x – 1 = 0 have a common root, then α…Complex Numbers and Quadratic Equations
Q5200If a₁, a₂, a₃,..... are in A.P. such that a₁ + a₇ + a₁₆ = 40, then the sum of the first 15 terms of this A.P. is:Sequence and Series
Q5402Let A, B and C be sets such that φ ≠ A B C. Then which of the following statements is not true ?Sets, Relations and Functions
Q5603A straight line L at a distance of 4 units from the origin makes positive intercepts on the coordinate axes and the perpendicular from the origin to this line…Coordinate Geometry
Q5720Let α R and the three vectors a = α i + j + 3 k, b = 2 i + j - α k and c = α i - 2 j + 3 k. Then the set S = α: a, b and c are coplanar:Vector Algebra