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JEE Main 2018 15 Apr Morning shift Question Paper with Solutions | JEE Arc

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JEE Main 201815 Apr, Morning shift

Physics 17Chemistry 14Mathematics 30

Physics

Q5876An ideal capacitor of capacitance 0.2 μ F is charged to a potential difference of 10 V. The charging battery is then disconnected. The capacitor is then…Electromagnetic Induction and Alternating Currents
Q5982The energy required to remove the electron from a singly ionized Helium atom is 2.2 times the energies required to remove an electron from Helium atom. The…Atoms and Nuclei
Q6086A solution containing active cobalt ⁶⁰₂₇Co having activity of 0.8 μ Ci and decay constant λ is injected in an animal's body. If 1 c m³ of blood is drawn from…Atoms and Nuclei
Q6342The number of amplitude modulted broadcast stations that can be accomodated in a 300 kHz band width for the highest modulating frequency 15 kHz will be:Communication Systems
Q6535Two electrons are moving with non-relativistic speed perpendicular to each other. If corresponding de Broglie wavelength are λ ₁ and λ ₂, their de Broglie…Dual Nature of Matter and Radiation
Q6900In a common emitter configuration with suitable bias, it is given that R L is the load resistance and R BE is small signal dynamic resistance (input side)…Electronic Devices
Q6957A body of mass M and charge q is connected to spring of spring constant k. It is oscillating along x -direction about its equilibrium position, taken to be at…Electrostatics
Q7253A body of mass m is moving in a circular orbit of radius R about a planet of mass M. At some instant, it splits into two equal masses. The first mass moves in…Gravitation
Q7254Take the mean distance of the moon and the sun from the earth to be 0.4 × 10⁶ km and 150 × 10⁶ km respectively. Their masses are 8 × 10²² kg and 2 × 10³⁰ kg…Gravitation
Q7475One mole of an ideal monoatomic gas is compressed isothermally in a rigid vessel to double its pressure at room temperature, 27° C. The work done on the gas…Thermodynamics
Q7552A given object takes n times more time to slide down a 45° rough inclined plane as it takes to slide down a perfectly smooth 45° incline. The coefficient of…Laws of Motion
Q7842An automobile, travelling at 40 km/h, can be stopped at a distance of 40 m by applying brakes. If the same automobile is travelling at 80 km/h, the minimum…Kinematics
Q7978A thin uniform tube is bent into a circle of radius r in the vertical plane. Equal volumes of two immiscible liquids, whose densities are ρ ₁ and ρ ₂ (ρ ₁ > ρ…Properties of Solids and Liquids
Q8294The relative error in the determination of the surface area of sphere is α. Then the relative error in the determination of its volume is:Units and Measurements
Q8329In a screw gauge, 5 complete rotations of the screw cause it to move a linear distance of 0.25 cm. There are 100 circular scale divisions. The thickness of a…Experimental Skills
Q8418Light of wavelength 550 nm falls normally on a slit of width 22.0 × 10⁻⁵ cm. The angular position of the second minima from the central maximum will (in…Optics
Q8488A tuning fork vibrates with frequency 256 Hz and gives one beat per second with the third normal mode of vibration of an open pipe. What is the length of the…Oscillations and Waves

Chemistry

Q117The correct match between items of List-I and List-II is: List - I List - II (A) Coloured impurity (P) Steam distilation (B) Mixture of o-nitrophenol and…Some Basic Principles of Organic Chemistry
Q358In the molecular orbital diagram for the molecular ion, N₂⁺, the number of electrons in the σ 2p z molecular orbital is:Chemical Bonding and Molecular Structure
Q434In which of the following reactions, an increase in the volume of the container will favour the formation of products?Equilibrium
Q470N₂O₅ decomposes to NO₂ and O₂ and follows first order kinetics. After 50 minutes, the pressure inside the vessel increases from 50 mmHg to 87.5 mmHg. The…Chemical Kinetics
Q716The correct combination is:Coordination Compounds
Q937When an electric currents passed through acidified water, 112 mL of hydrogen gas at N.T.P. was collected at the cathode in 965 seconds. The current passed, in…Redox Reactions and Electrochemistry
Q1283Which of the following is a Lewis acid?Equilibrium
Q1332The minimum volume of water required to dissolve 0.1 g lead (II) chloride to get a saturated solution (K s p of PbCl₂ = 3.2 × 10⁻⁸ atomic mass of Pb = 207 u)…Equilibrium
Q1468In graphite and diamond, the percentage of p-characters of the hybrid orbitals in hybridisation are respectively:p-Block Elements
Q1551For Na⁺, Mg²⁺, F⁻ and O²⁻; the correct order of increasing ionic radii is:Classification of Elements and Periodicity in Properties
Q2070A sample of NaCl O₃ is converted by heat to NaCl with a loss of 0.16 g of oxygen. The residue is dissolved in water and precipitated as AgCl. The mass of AgCl…Some Basic Concepts in Chemistry
Q2172Ejection of the photoelectron from metal in the photoelectric experiment can be stopped by applying 0.5 V when the radiation of 250 nm is used. The work…Atomic Structure
Q2236Which of the following statements about colloids is False ?Surface Chemistry
Q2351For which of the following reactions, Δ H is equal to Δ U?Chemical Thermodynamics

Mathematics

Q2405An angle between the plane, x + y + z = 5 and the line of intersection of the planes, 3x + 4y + z - 1 = 0 and 5x + 8y + 2z + 14 =0, is:Three Dimensional Geometry
Q2558A variable plane passes through a fixed point (3,2,1) and meets x, y and z axes at A, B and C respectively. A plane is drawn parallel to yz -plane through A…Three Dimensional Geometry
Q2637If a right circular cone, having maximum volume, is inscribed in a sphere of radius 3 cm, then the curved surface area (in cm²) of this cone is:Limit, Continuity and Differentiability
Q2766If β is one of the angles between the normals to the ellipse, x² + 3y² = 9 at the points (3 cos θ, 3 sin θ) and (- 3 sin θ, 3 cos θ); θ (0,(π)/2); then (2 cot…Limit, Continuity and Differentiability
Q2809The area (in sq. units) of the region x R: x ≥ 0, y ≥ 0, y ≥ x - 2 and y ≤ x, is:Integral Calculus
Q2976If n is the degree of the polynomial, [ 2/(√(5x³ + 1) - √(5x³ - 1)) ]⁸ + [ 2/(√(5x³ + 1) + √(5x³ - 1)) ]⁸ and m is the coefficient of xⁿ in it, then the…Binomial Theorem and Its Simple Applications
Q3067A circle passes through the points (2, 3) and (4, 5). If its centre lies on the line, y - 4x + 3 = 0, then its radius is equal to:Coordinate Geometry
Q3150The set of all α R, for which w = (1 + (1 - 8α)z)/(1 - z) is purely imaginary number, for all z C satisfying |z| = 1 and Re z ≠ 1, is:Complex Numbers and Quadratic Equations
Q3360The value of the integral ∫ - (π)/2 ^((π)/2) sin ⁴ x(1 + log ((2 + sin x)/(2 - sin x)))dx is:Integral Calculus
Q3586Let y = y(x) be the solution of the differential equation dy/dx + 2y = f(x), where f(x) = \ 1, x [ 0,1 ] 0, otherwise. If y(0) = 0, then y(3/2) is:Differential Equations
Q3666If f(x) = | cos x x 1 2 sin x x² 2x tan x x 1 |, then lim x → 0 (f'(x))/xLimit, Continuity and Differentiability
Q3667If x² + y² + sin y = 4, then the value of d²y d x² at the point (- 2,0) is:Limit, Continuity and Differentiability
Q3909An aeroplane flying at a constant speed, parallel to the horizontal ground, 3 kmabove it, is obsered at an elevation of 60^(o) from a point on the ground. If…Height and Distance
Q3940If the tangents drawn to the hyperbola 4y² = x² + 1 intersect the co-ordinate axes at the distinct points A and B then the locus of the mid point of AB is:Coordinate Geometry
Q4046If f((x - 4)/(x + 2)) = 2x + 1, (x R - 1, - 2), then ∫ f (x)dx is equal to: (where C is a constant of integration)Integral Calculus
Q4183Let S = (λ, μ) R × R: f(t) = (| λ | e^|t| - μ). sin (2|t|), t R, is a differentiable function. Then S is a subset of:Limit, Continuity and Differentiability
Q4316If (p q) (p r) → p q is false, then the truth values of p, q and r are, respectively:Mathematical Reasoning
Q4444Let A be a matrix such that A.[ 1 2 0 3 ] is a scalar matrix and |3A| = 108. Then A² equals:Matrices and Determinants
Q4560Let S be the set of all real values of k for which the systemof linear equations x + y + z = 2 2x + y - z = 3 3x + 2y + kz = 4 has a unique solution. Then S is:Matrices and Determinants
Q4680Two parabolas with a common vertex and with axes along x-axis and y -axis, respectively intersect each other in the first quadrant. If the length of the latus…Coordinate Geometry
Q4844n - digit numbers are formed using only three digits 2, 5 and 7. The smallest value of n for which 900 such distinct numbers can be formed, is:Permutations and Combinations
Q4857A box 'A' contains 2 white, 3 red and 2 black balls. Another box 'B' contains 4 white, 2 red and 3 black balls. If two balls are drawn at random, without…Statistics and Probability
Q5127If tanA and tanB are the roots of the quadratic equation, 3x² - 10x - 25 = 0, then the value of 3 sin²(A + B) - 10 sin(A + B).cos(A + B) - 25 cos²(A + B) is:Complex Numbers and Quadratic Equations
Q5131If λ R is such that the sum of the cubes of the roots of the equation, x² + (2 - λ) x + (10 - λ) = 0 is minimum, then the magnitude of the difference of the…Complex Numbers and Quadratic Equations
Q5197If x₁, x₂,..., x n and 1/h₁, 1/h₂,..., 1/h n are two A.P..s such that x₃ = h₂ = 8 and x₈ = h₇ = 20, then x₅.h₁₀ equals:Sequence and Series
Q5247If b is the first term of an infinite G.P. whose sum is five, then b lies in the interval:Sequence and Series
Q5373Consider the following two binary relations on the set A = a, b, c: R₁ = (c, a), (b, b), (a, c), (c, c), (b, c), (a, a) and R₂ = (a, b), (b, a), (c, c), (c…Sets, Relations and Functions
Q5415The mean of set of 30 observations is 75. If each observation is multiplied by a non-zero number λ and then each of them is decreased by 25, their mean…Statistics and Probability
Q5515In a triangle ABC, coordinates of A are (1, 2) and the equations of the medians through B and C are respectively, x + y = 5 and x = 4. Then area of Δ ABC (in…Coordinate Geometry
Q5804If a, b, and C are unit vectors such that a + 2 b + 2 c = 0, then | a × c | is equal to:Vector Algebra