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JEE Main 2018 16 Apr Morning shift Question Paper with Solutions | JEE Arc

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JEE Main 201816 Apr, Morning shift

Physics 25Chemistry 18Mathematics 30

Physics

Q5938A power transmission line feeds input power at 2300 V to a step down transformer with its primary windings having 4000 turns, giving the output power at 230…Electromagnetic Induction and Alternating Currents
Q6088At some instant, a radioactive sample S₁ having an activity 5 μ Ci has twice the number of nuclei as another sample S₂ which has an activity of 10 μ Ci. The…Atoms and Nuclei
Q6341A carrier wave of peak voltage 14 V is used for transmitting a message signal. The peak voltage of modulating signal given to achieve a modulation index of…Communication Systems
Q6422A heating element has a resistance of 100 Ω at room temperature. When it is connected to a supply of 220 V, a steady current of 2 A passes in it and…Current Electricity
Q6455In a circuit for finding the resistance of a galvanometer by half deflection method, a 6 V battery and a high resistance of 11 k Ω are used. The figure of…Current Electricity
Q6456A galvanometer with its coil resistance 25 Ω requires a current of 1 mA for its full deflection. In order to construct an ammeter to read upto a current of 2…Current Electricity
Q6537The de-Broglie wavelength (λ B) associated with the electron orbiting in the second excited state of hydrogen atom is related to that in the ground state (λ…Dual Nature of Matter and Radiation
Q6538Both the nucleus and the atom of some element arein their respective first excited states. They get de-excted by emitting photons of wavelengths ^ λ N, ^ λ A…Dual Nature of Matter and Radiation
Q6699A coil of cross-sectional area A having n turns is placed in a uniform magnetic field B. When it is rotated with an angular velocity ω, the maxium e.m.f…Electromagnetic Induction and Alternating Currents
Q6919Two identical conducting spheres A and B, carry equal charge. They are separated by a distance much larger than their diameters, and the force between theis…Electrostatics
Q7100A ray of light is incident at an angle of 60^(o) on one face of a prism of angle 30^(o). The emergent ray of light makes an angle of 30^(o) with incident ray…Optics
Q7133Suppose that the angular velocity of rotation of earth is increased. Then, as a consequence:Gravitation
Q7291Two moles of helium are mixed with n moles of hydrogen. If Cp/Cv = 3/2 for the mixture, then the value of n is:Thermodynamics
Q7720A charge q is spread uniformly over an insulated loop of radius r. If it is rotated with an angular velocity ω with resect to normal axis then the magnetic…Magnetic Effects of Current and Magnetism
Q8008A small soap bubble of radius 4 cm is trapped inside another bubble of radius 6 cm without any contact. Let P₂ be the pressure inside the inner bubble and P₀…Properties of Solids and Liquids
Q8147A particle executes simple harmonic motion and is located at x = a, b and c at times t₀, 2t₀ and 3t₀ respectively. The freqquency of the oscillation is:Oscillations and Waves
Q8190An oscillator of mass M is at rest in its equilibrium position in a potential V = 1/2 k(x - X)². A particle of mass m comes from right with speed u and…Oscillations and Waves
Q8295The percentage errors in quantities P, Q, R and S are 0.5%, 1%, 3% and 1.5% respectively in the measurement of a physical quantity A = (P³Q²)/(R S). The…Units and Measurements
Q8296The relative uncertainly in the period of a satellite orbiting around the earth is 10⁻². If the relative uncertainty in the radius of the orbit is negligible…Units and Measurements
Q8371Let A = (i + j) and, B = (2 i - j). The magnitude of a coplanar vector C such that A. C = B. C = A. B, is given by:Kinematics
Q8460Unpolarized light of intensity I is incident on a system of two polarizers, A followed by B. The intensity of emergent light is I/2. If a third polarizer C is…Optics
Q8486The end correction of a resonance column is 1 cm. If the shortest length resonating with the tunning fork is 10 cm, the next resonating length should be:Oscillations and Waves
Q8521Two sitar strings, A and B, playing the note 'Dha' are slightly out of tune and produce beats of frequency 5 Hz. The tension of the string B s slightly…Oscillations and Waves
Q8580Two particles of the same mass m are moving in circular orbits because of force, given by F(r) = (- 16)/r - r³ The first particle is at a distance r = 1, and…Work, Energy and Power
Q8617A body of mass m starts moving from rest along x-axis so that its velocity varies as = a s where a is a constant and s is the distance covered by the body…Work, Energy and Power

Chemistry

Q44Which of the following compounds will most readily be dehydrated to give alkene under acidic condition ?Organic Compounds Containing Oxygen
Q153Among the following, the incorrect statement is:Biomolecules
Q288The incorrect geometry is represented by:Chemical Bonding and Molecular Structure
Q289Which of the following conversions involves change in both shape and hybridisation ?Chemical Bonding and Molecular Structure
Q435The gas phase reaction 2NO₂(g) → N₂O₄(g) is an exothermic reaction. The decomposition of N₂O₄, in equilibrium mixture of NO₂(g) and N₂O₄(g), can be increased…Equilibrium
Q472If 50% of a reaction occurs in 100 second and 75% of the reaction occurs in 200 secod, the order of this reaction is:Chemical Kinetics
Q674Which of the following complexes will shows geometrical isomerism ?Coordination Compounds
Q718In Wilkinson's catalyst, the hybridization of central metal ion and its shape are respectively:Coordination Compounds
Q863When XO₂ is fused with an alkali metal hydroxide in presence of an oxidizing agent such as KNO₃; a dark green product is formed which disproportioates in…d- and f-Block Elements
Q938When 9.65 ampere current was passed for 1.0 hour into nitrobenzene in acidic medium, the amount of p-aminophenol produced is:Redox Reactions and Electrochemistry
Q1112Assuming ideal gas behaviour, the ratio of density of ammonia to that of hydrogen chloride at same temperature and pressure is: (Atomic wt. of Cl = 35.5 u)Gaseous State
Q1378In the extraction of copper from its sulphate ore, metal is finally obtained by the oxidation of cuprous sulphide with:Isolation of Elements
Q1738For standardizing NaOH solution, which of the following is used as a primary standard ?Principles Related to Practical Chemistry
Q2010The mass of a non-volatile, non-electrolyte solute (molar mass = 50 g mol⁻¹) needed to be dissolved in 114 g octane to reduce its vapour pressure to 75%, is:Solutions
Q2090An unknown chlorohydrocarbon has 3.55% of chlorine. If each molecule of the hydrocarbon has one chlorine atom only; chlorine atoms present in 1 g of…Some Basic Concepts in Chemistry
Q2180Which of the following statements is false ?Atomic Structure
Q2295At 320 K, a gas A₂ is 20% dissociated to A(g). The standard free energy change at 320 K and 1 atm in J mol⁻¹ is approximately: (R = 8.314 JK⁻¹ mol⁻¹; ln2 =…Chemical Thermodynamics
Q2296For which of the following processes, Δ S is negative ?Chemical Thermodynamics

Mathematics

Q2487If the angle between the lines, x/2 = y/2 = z/1 and (5 - x)/(- 2) = (7y - 14)/p = (z - 3)/4 is cos ⁻¹(2/3), then p is equal to:Three Dimensional Geometry
Q2556The sum of the intercepts on the coordinate axes of the plane passing through the point (- 2, -2, 2) and containing the line joining the points (1, - 1, 2)…Three Dimensional Geometry
Q2638Let M and m be respectively the absolute maximum and the absolute minimum values of the function, f(x) = 2x³ - 9x² + 12x + 5 in the interval [0, 3]. Then M…Limit, Continuity and Differentiability
Q2810If the area of the region bounded by the curves, y = x²,y = 1/x and the lines y = 0 and x= t (t >1) is 1 sq. unit, then t is equal to:Integral Calculus
Q2978The coefficient of x² in the expansion of the product (2 - x²).((1 + 2x + 3x²)⁶ + (1 - 4x²)⁶) is:Binomial Theorem and Its Simple Applications
Q3077If a circle C, whose radius is 3, touches externally the circle, x² + y² + 2x - 4y - 4 = 0 at the point (2, 2), then the length of the intercept cut by this…Coordinate Geometry
Q3236The least positive integer n for which ((1 + i 3)/(1 - i 3))ⁿ = 1, is:Complex Numbers and Quadratic Equations
Q3357If f(x) = ∫₀ˣ t(sin x - sin t)dt then:Integral Calculus
Q3492The differential equation representing the family of ellipse having foci eith on the x-axis or on the y -axis, center at the origin and passing through the…Differential Equations
Q3652If x = 2^ cos e c⁻¹ and y = 2^ se c⁻¹ t (| t | ≥ 1), then dy/dx is equal to:Limit, Continuity and Differentiability
Q3749If the length of the latus rectum of an ellipse is 4 units and the distance between a focus an its nearest vertex on the major axis is 3/2 units, then its…Coordinate Geometry
Q3911A man on the top of a vertical tower observes a car moving at a uniform speed towards the tower on a horizontal road. If it takes 18 min. for the angle of…Height and Distance
Q3941The locus of the point of intersection of the lines, 2 x - y + 4 2 k = 0 and 2 k x + k y - 4 2 = 0 (k is any non-zero real parameter), is:Coordinate Geometry
Q4007If ∫ (tan x)/(1 + tan x + tan ²x)dx = x - K/(A) tan ⁻¹ ((K tan x + 1)/(A)) + C,(C is a constant of integration) then the ordered pair (K, A) is equal to:Integral Calculus
Q4132If the function f defined as f(x) = 1/x - (k - 1)/(e²ˣ - 1),x ≠ 0, is continuous at x = 0, then the ordered pair (k, f(0)) is equal to:Limit, Continuity and Differentiability
Q4226lim x → 0 ((27 + x)^(1/3) - 3)/(9 - (27 + x)^(2/3)) equals.Limit, Continuity and Differentiability
Q4317If p → (p q) is false, then the truth values of p and q are respectively:Mathematical Reasoning
Q4489Let A = [ 1 0 0 1 1 0 1 1 1 ] and B = A²⁰. Then the sum of the elements of the first column of B is:Matrices and Determinants
Q4562The number of values of k for which the system of linear equations, (k + 2)x + 10y = k kx + (k +3)y = k -1 has no solution, is:Matrices and Determinants
Q4736Let P be a point on the parabola, x² = 4y. If the distance of P from the center of the circle, x² + y² + 6x + 8 = 0 is minimum, then the equation of the…Coordinate Geometry
Q4804The number of numbers between 2,000 and 5,000 that can be formed with the digits 0, 1, 2, 3, 4 (repetition of digits is not allowed) and are multiple of 3 is:Permutations and Combinations
Q4946Let A, B and C be three events, which are pair-wise independent and E denotes the completement of an event E. If P(A B C) = 0 and P(C) > 0, then P[ (A B)| C…Statistics and Probability
Q4974Two different families A and B are blessed with equal numbe of children. There are 3 tickets to be distributed amongst the children of these families so that…Statistics and Probability
Q5128If an angle A of a Δ ABC satiesfies 5 cosA + 3 = 0, then the roots of the quadratic equation, 9x² + 27x + 20 = 0 are:Complex Numbers and Quadratic Equations
Q5129Let p, q and r be real numbers (p ≠ q, r ≠ 0), such that the roots of the equation 1/(x + p) + 1/(x + q) = 1/r are equal in magnitude but opposite in sign…Complex Numbers and Quadratic Equations
Q5198Let 1/x₁,1/x₂,...,1/x n (x i ≠ 0 for i = 1, 2,..., n) be in A.P. such that x₁=4 and x₂₁ = 20. If n is the least positive integer for which x n > 50, then Σ i…Sequence and Series
Q5299The sum of the first 20 terms of the series 1 + 3/2 + 7/4 + 15/8 + 31/16 +..., is:Sequence and Series
Q5374Let N denote the set of all natural numbers. Define two binary relations on N as R = (x, y) N × N: 2x + y = 10 and R₂ = (x, y) N × N: x + 2y = 10. Then:Sets, Relations and Functions
Q5438The mean and the standard deviation(s.d.) of five observations are9 and 0, respectively. If one of the observations is changed such that the mean of the new…Statistics and Probability
Q5805Let a = i + j + k, c = j - k and a vector b be such that a × b = c and a. b = 3. Then | b | equals:Vector Algebra