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 2019 9 Jan Morning 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 20199 Jan, Morning shift

Physics 17Chemistry 21Mathematics 30

Physics

Q6095A sample of radioactive material A, that has an activity of 10 mCi(1 Ci = 3.7 × 10¹⁰ decays/s), has twice the number of nuclei as another sample of a…Atoms and Nuclei
Q6397Drift speed of electrons, when 1.5 A of current flows in a copper wire of cross section 5 mm², is. If the electron density in copper is 9 × 10²⁸/m³ the value…Current Electricity
Q6631Surface of certain metal is first illuminated with light of wavelength λ ₁ = 350 nm and then, by light of wavelength λ ₂ = 540 nm. It is found that the…Dual Nature of Matter and Radiation
Q6700A conducting circular loop made of a thin wire, has area 3.5 × 10⁻³ m² and resistance 10 Ω. It is placed perpendicular to a time dependent magnetic field B(t)…Electromagnetic Induction and Alternating Currents
Q6758A plane electromagnetic wave of frequency 50 MHz travels in free space along the positive x-direction. At a particular point in space and time, E = 6.3 j V/m…Electromagnetic Waves
Q6867Mobility of electrons in a semiconductor is defined as the ratio of their drift velocity to the applied electric field. If, for an n-type semiconductor, the…Electronic Devices
Q6920Three charges + Q, q, + Q are placed respectively, at distance, 0, d/2 and d from the origin, on the x-axis. If the net force experienced by + Q, placed at x…Electrostatics
Q6959For a uniformly charged ring of radius R, the electric field on its axis has the largest magnitude at a distance h from its center. Then value of h is:Electrostatics
Q7042A convex lens is put 10 cm from a light source and it makes a sharp image on a screen, kept 10 cm from the lens. Now a glass block (refractive index 1.5) of…Optics
Q7373A mixture of 2 moles of helium gas (atomic mass = 4 u), and 1 mole of argon gas (atomic mass = 40 u) is kept at 300 K in a container. The ratio of their rms…Kinetic Theory of Gases
Q7514A rod, of length L at room temperature and uniform area of cross section A, is made of a metal having coefficient of linear expansion α /^(o)C. It is observed…Properties of Solids and Liquids
Q7637A bar magnet is demagnetized by inserting it inside a solenoid of length 0.2 m, 100 turns, and carrying a current of 5.2 A. The corecivity of the bar magnet is:Magnetic Effects of Current and Magnetism
Q7813A particle is moving with a velocity v = K(y i + x j), where K is a constant. The general equation for its path is:Kinematics
Q8051If the angular momentum of a planet of mass m, moving around the Sun in a circular orbit is L, about the center of the Sun, its areal velocity is:Rotational Motion
Q8301A copper wire is stretched to make it 0.5% longer. The percentage change in its electrical resistance if its volume remains unchanged is:Units and Measurements
Q8424Two coherent sources produce waves of different intensities which interfere. After interference, the ratio of the maximum intensity to the minimum intensity…Optics
Q8490A heavy ball of mass M is suspendeed from the ceiling of a car by a light string of mass m (m < < M). When the car is at rest, the speed of transverse waves…Oscillations and Waves

Chemistry

Q69Which amongst the following is the strongest acid ?Some Basic Principles of Organic Chemistry
Q70The correct decreasing order for acid strength is:Some Basic Principles of Organic Chemistry
Q202The increasing order of pka of the following amino acids in aqueous solution is: Gly, Asp, Lys, ArgBiomolecules
Q360According to molecular orbital theory, which of the following is true with respect to Li₂⁺ and Li₂^ - ?Chemical Bonding and Molecular Structure
Q499The following results were obtained during kinetic studies of the reaction; 2A + B → Products Experiment [A] (in mol L⁻¹) [b] (in mol L⁻¹) Initial Rate of…Chemical Kinetics
Q608Two complexes [Cr(H₂O)₆]Cl₃ (A) and [Cr(NH₃)₆]Cl₃ (B) are violet and yellow coloured, respectively. The incorrect statement regarding them is:Coordination Compounds
Q994The anodic half-cell of lead-acid battery is recharged using electricity of 0.05 Faraday. The amount of PbSO₄ electrolyzed in g during the process is: (Molar…Redox Reactions and Electrochemistry
Q1082A water sample has ppm level concentration of the following metals: Fe = 0.2; Mn = 5.0; Cu = 3.0; Zn = 5.0. The metal that makes the water sample unsuitable…Environmental Chemistry
Q11130.5 moles of gas A and x moles of gas B exert a pressure of 200 Pa in a container of volume 10 m³ at 1000 K. Given R is the gas constant in JK⁻¹mol⁻¹, x is:Gaseous State
Q1242The isotopes of hydrogen are:Hydrogen
Q130220 mL of 0.1 M H₂SO₄ solution is added to 30 mL of of 0.2 M NH₄OH solution. The pH of the resultant mixture is: [pk b of NH₄OH = 4.7].Equilibrium
Q1413The ore that contains both iron and copper is:Isolation of Elements
Q1469The one that is extensively used as a piezoelectric material is:p-Block Elements
Q1587In general, the properties that decrease and increase down a group in the periodic table, respectively, are:Classification of Elements and Periodicity in Properties
Q1647Aluminium is usually found in +3 oxidation state. In contrast, thallium exists in + 1 and + 3 oxidation states. This is due to:Classification of Elements and Periodicity in Properties
Q1724The correct match between Item-I and Item-II is: Item-I (drug) Item-II (test) A Chloroxylenol P Carbylamine test B Norethindrone Q Sodium hydrogen carbonet…Principles Related to Practical Chemistry
Q1879The alkaline earth metal nitrate that does not crystallise with water molecules, is:S Block Elements
Q1990Which one of the following statements regarding Henry's law is not correct ?Solutions
Q2032A solution of sodium sulphate contains 92 g of Na⁺ ions per kilogram of water. The molality of Na⁺ ions in that solution in mol kg⁻¹ is:Some Basic Concepts in Chemistry
Q2159For emission line of atomic hydrogen from n i = 8 to n f = n, the plot of wave number (v) against (1/(n²)) will be (The Rydberg constant, R H is in wave…Atomic Structure
Q2196The highest value of the calculated spin only magnetic moment (in BM) among all the transition metal complexes is:Atomic Structure

Mathematics

Q2406The equation of the line passing through (–4, 3, 1), parallel to the plane x + 2y – z – 5 = 0 and intersecting the line (x + 1)/(- 3) = (y - 3)/2 = (z - 2)/(…Three Dimensional Geometry
Q2417The plane through the intersection of the planes x + y + z = 1 and 2x + 3y – z + 4 = 0 and parallel to y-axis also passes through the point:Three Dimensional Geometry
Q2645The maximum volume (in cu.m) of the right circular cone having slant height 3 m is:Limit, Continuity and Differentiability
Q2820The area (in sq. units) bounded by the parabolae y = x² – 1, the tangent at the point (2, 3) to it and the y-axis is:Integral Calculus
Q2951If the fractional part of the number (2⁴⁰³)/15 is k/15, then k is equal to:Binomial Theorem and Its Simple Applications
Q3068Three circles of radii a, b, c (a < b < c) touch each other externally. If they have x-axis as a common tangent, then:Coordinate Geometry
Q3151Let A = θ (- (π)/2,π):(3 + 2i sin θ)/(1 - 2i sin θ)is purely imaginary. Then the sum of the elements in A is:Complex Numbers and Quadratic Equations
Q3274Let α and β be two roots of the equation x² + 2x + 2 = 0, then α ¹⁵ + β ¹⁵ is equal to:Complex Numbers and Quadratic Equations
Q3376The value of ∫₀^π | cos x |³ dx is:Integral Calculus
Q3514If y = y(x) is the solution of the differential equation, x dy dx + 2y = x², satisfying y(1) = 1, then y(1 2) is equal to:Differential Equations
Q3815For x R - 0,1, Let f₁(x) = 1 x, f₂ (x) = 1 – x and f₃ (x) = 1 1 - x be three given functions. If a function, J(x) satisfies (f₂ o J o f₁) (x) = f₃ (x) then…Sets, Relations and Functions
Q3962Let 0 < θ < (π)/2. If the eccentricity of the hyperbola (x²)/(cos ²θ) - (y²)/(sin ²θ) = 1 is greater than 2, then the length of its latus rectum lies in the…Coordinate Geometry
Q4020For x² ≠ n π + 1, n N (the set of natural numbers), the integral ∫ x√((2 sin (x² - 1) - sin 2(x² - 1))/(2 sin (x² - 1) + sin 2(x² - 1))) dx is equal to…Integral Calculus
Q4096If cos ⁻¹(2/3x) + cos ⁻¹(3/4x) = (π)/2 (x > 3 4), then x is equal to:Trigonometry
Q4133Let f: R → R be a function defined as f(x) = \ 5; x ≤ 1 a + bx; 1 < x < 3 b + 5x; 3 ≤ x < 5 30; x ≥ 5. Then, f isLimit, Continuity and Differentiability
Q4227lim y → 0 (1 + √(1 + y⁴) - 2)/(y⁴)Limit, Continuity and Differentiability
Q4327If the Boolean expression (p q) (~ p q) is equivalent to p q, where,,, then the ordered pair (,) is:Mathematical Reasoning
Q4480If A = [ cos θ - sin θ sin θ cos θ ], then the matrix A^–50 when θ = π 12, is equal to:Matrices and Determinants
Q4573The system of linear equations x + y + z = 2 2x + 3y + 2z = 5 2x + 3y + (a² – 1) z = a + 1 thenMatrices and Determinants
Q4681Equation of a common tangent to the circle, x² + y² – 6x = 0 and the parabola, y² = 4x is:Coordinate Geometry
Q4726Axis of a parabola lies along x-axis. If its vertex and focus are at distances 2 and 4 respectively from the origin, on the positive x-axis then which of the…Coordinate Geometry
Q4727If θ denotes the acute angle between the curves, y = 10 – x² and y = 2 + x² at a point of their intersection, the |tan θ | is equal to:Coordinate Geometry
Q4770Consider a class of 5 girls and 7 boys. The number of different teams consisting of 2 girls and 3 boys that can be formed from this class, if there are two…Permutations and Combinations
Q4880Two cards are drawn successively with replacement from a well-shuffled deck of 52 cards. Let X denote the random variable of number of aces obtained in the…Statistics and Probability
Q5208Let a₁,a₂,.......,a₃₀ be an A.P., S = Σ i = 1 ³⁰ a i and T = Σ i = 1 ¹⁵ a (2i - 1). If a₅ = 27 and S - 2T = 75, then a₁₀ is equal to:Sequence and Series
Q5255If a, b, c be three distinct real numbers in G.P. and a + b + c = xb, then x cannot beSequence and Series
Q54505 students of a class have an average height 150 cm and variance 18 cm². A new student, whose height is 156 cm, joined them. The variance (in cm²) of the…Statistics and Probability
Q5560Consider the set of all lines px + qy + r = 0 such that 3p + 2q + 4r = 0. Which one of the following statements is true?Coordinate Geometry
Q5645For any θ ((π)/4,(π)/2), the expression 3(cos θ - sin θ)⁴ + 6(sin θ + cos θ)² + 4 sin ⁶θ equals:Trigonometry
Q5723Let a = i - j, b = i + j + k and c be a vector such that a × c + b = 0 and a. c = 4, then | c |² is equal to:Vector Algebra