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JEE Main 2019 9 Apr Morning shift Question Paper with Solutions | JEE Arc

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JEE Main 20199 Apr, Morning shift

Physics 23Chemistry 17Mathematics 29

Physics

Q5989Taking the wavelength of first Balmer line in hydrogen spectrum (n = 3 to n = 2) as 660 nm, the wavelength of the 2nd Balmer line (n = 4 to n = 2) will be:Atoms and Nuclei
Q6177A capacitor with capacitance 5μF is charged to 5μC. If the plates are pulled apart to reduce the capacitance to 2μF, how much work is done ?Electrostatics
Q6212A body of mass 2 kg makes an eleastic collision with a second body at rest and continues to move in the original direction but with one fourth of its original…Rotational Motion
Q6347A signal Acoswt is transmitted using v₀ sin ω ₀t as carrier wave. The correct amplitude modulated (AM) signal isCommunication Systems
Q6457A moving coil galvanometer has resistance 50 Ω and it indicates full deflection at 4mA current. A voltmeter is made using this galvanometer and a 5 k Ω…Current Electricity
Q6626The electric field of light wave is given as E = 10⁻³ cos ((2π x)/(5 × 10⁻⁷) - 2π × 6 × 10¹⁴t) x^ (N)/C This light falls on a metal plate of work function…Dual Nature of Matter and Radiation
Q6683The total number of turns and cross-section area in a solenoid is fixed. However, its length L is varied by adjusting the separation between windings. The…Electromagnetic Induction and Alternating Currents
Q6749The magnetic field of a plane electromagnetic wave is given by: B = B₀ i[ cos (kz - ω t) ] + B i j cos (kz + ω t) B₀ = 3 × 10^–5 T and B1 = 2 × 10^–6 T. The…Electromagnetic Waves
Q6901An NPN transistor is used in common emitter configuration as an amplifier with 1 k Ω load resistance. Signal voltage of 10 mV is applied across the…Electronic Devices
Q7078A concave mirror for face viewing has focal length of 0.4 m. The distance at which you hold the mirror from your face in order to see your image upright with…Optics
Q7257A solid sphere of mass 'M' and radius 'a' is surrounded by a uniform concentric spherical shell of thickness 2a and mass 2M. The gravitational field at…Gravitation
Q7294An HCl molecule has rotational, translational and vibrational motions. If the rms velocity of HCl molecules in its gaseous phase is v, m is its mass and k B…Kinetic Theory of Gases
Q7367For a given gas at 1 atm pressure, rms speed of the molecule is 200 m/s at 127°C. At 2 atm pressure and at 227°C, the rms speed of the molecules will be:Kinetic Theory of Gases
Q7701A rectangular coil (Dimension 5 cm × 2.5 cm) with 100 turns, carrying a current of 3 A in the clock-wise direction is kept centered at the origin and in the…Magnetic Effects of Current and Magnetism
Q7824The stream of a river is flowing with a speed of 2km/h. A swimmer can swim at a speed of 4km/h. What should be the direction of the swimmer with respect to…Kinematics
Q7985A simple pendulum oscillating in air has period T. The bob of the pendulum is completely immersed in a non-viscous liquid. The density of the liquid is 1/16…Properties of Solids and Liquids
Q8009If 'M' is the mass of water that rises in a capillary tube of radius 'r', then mass of water which will rise in a capillary tube of radius '2r' is:Properties of Solids and Liquids
Q8069The following bodies are made to roll up (without slipping) the same inclined plane from a horizontal plane.: (i) a ring of radius R, (ii) a solid cylinder of…Rotational Motion
Q8089A stationary horizontal disc is free to rotate about its axis. When a torque is applied on it, its kinetic energy as a function of θ, where θ is the angle by…Rotational Motion
Q8299In the density measurement of a cube, the mass and edge length are measured as (10.00 ± 0.10) kg and (0.10 ± 0.01) m, respectively. The error in the…Units and Measurements
Q8494The pressure wave, P = 0.01 sin [1000t – 3x] Nm^–2, corresponds to the sound produced by a vibrating blade on a day when atmospheric temperature is 0°C. On…Oscillations and Waves
Q8548A string is clamped at both the ends and it is vibrating in its 4th harmonic. The equation of the stationary wave is Y = 0.3 sin(0.157x) cos(200pt). The…Oscillations and Waves
Q8618A uniform cable of mass 'M' and length 'L' is placed on a horizontal surface such that its (1/n)^(t)h part is hanging below the edge of the surface. To lift…Work, Energy and Power

Chemistry

Q8The major product of the following reaction is: C H ₃ CH = CHC O ₂ CH₃ LiAl H₄Organic Compounds Containing Oxygen
Q154Which of the following statements is not true about sucrose?Biomolecules
Q363Among the following, the molecule expected to be stabilized by anion formation is: C₂, O₂, NO, F₂Chemical Bonding and Molecular Structure
Q611The degenerate orbitals of [Cr(H₂O)₆]³⁺ are:Coordination Compounds
Q987The standard Gibbs energy for the given cell reaction in kJ mol^–1 at 298 K is: Zn(s) + Cu²⁺ (aq) → Zn²⁺ (aq) + Cu (s), E° = 2 V at 298 K (Faraday's constant…Redox Reactions and Electrochemistry
Q1018Excessive release of CO₂ into the atomosphere results in:Environmental Chemistry
Q1127Consider the van der Waals constants, a and b, for the following gases. Gas Ar Ne Kr Xe a/ (atm dm⁶ mol^–2) 1.3 0.2 5.1 4.1 b/ (10^–2 dm³ mol^–1) 3.2 1.7 1.0…Gaseous State
Q1411The ore that contains the metal in the form of fluoride is:Isolation of Elements
Q1599The element having greatest difference between its first and second ionization energies, is:Classification of Elements and Periodicity in Properties
Q1804The correct order of the oxidation states of nitrogen in NO, N₂O, NO₂ and N₂O₃ is:Redox Reactions and Electrochemistry
Q1992The osmotic pressure of a dilute solution of an ionic compound XY in water is four times that of a solution of 0.01 M BaCl₂ in water. Assuming complete…Solutions
Q2012Liquid 'M' and liquid 'N' form an ideal solution. The vapour pressures of pure liquids 'M' and 'N' are 450 and 700 mmHg, respectively, at the same…Solutions
Q2093For a reaction, N₂(g) + 3H₂(g) → 2NH₃(g); identify dihydrogen (H₂) as a limiting reagent in the following reaction mixtures.Some Basic Concepts in Chemistry
Q2162For any given series of spectral lines of atomic hydrogen, let Δ v^_ = Δ v max - Δ v min be the difference in maximum and minimum frequencies in cm^–1. The…Atomic Structure
Q2224Match the catalysts (Column I) with products (Column II). Column I Column II (A) V₂O₅ (i) Polyethylene (B) TiCl₄/Al(Me)₃ (ii) ethanal (C) PdCl₂ (iii) H₂SO₄…Surface Chemistry
Q2241The aerosol is a kind of colloid in which:Surface Chemistry
Q2326Among the following, the set of parameters that represents path function, is: (A) q + w (B) q (C) w (D) H–TSChemical Thermodynamics

Mathematics

Q2410If the line, (x - 1)/2 = (y + 1)/3 = (z - 2)/4 meets the plane, x + 2y + 3z = 15 at a point P, then the distance of P from the origin is:Three Dimensional Geometry
Q2565A plane passing through the points (0, –1, 0) and (0, 0, 1) and making an angle (π)/4 with the plane y – z + 5 = 0, also passes through the pointThree Dimensional Geometry
Q2640If ƒ(x) is a non-zero polynomial of degree four, having local extreme points at x = –1, 0, 1; then the set S = x R: ƒ(x) = ƒ(0) Contains exactly:Limit, Continuity and Differentiability
Q2769If the tangent to the curve, y = x³ + ax – b at the point (1, –5) is perpendicular to the line, –x + y + 4 = 0, then which one of the following points lies on…Limit, Continuity and Differentiability
Q2770Let S be the set of all values of x for which the tangent to the curve y = ƒ(x) = x³ – x² – 2x at (x, y) is parallel to the line segment joining the points…Limit, Continuity and Differentiability
Q2811The area (in sq. units) of the region A = (x, y): x² ≤ y ≤ x + 2 isIntegral Calculus
Q2917If the fourth term in the binomial expansion of (2/x + x^(log ₈x))⁶ (x > 0) is 20 × 8⁷, then a value of x is:Binomial Theorem and Its Simple Applications
Q3124If a tangent to the circle x² + y² = 1 intersects the coordinate axes at distinct points P and Q, then the locus of the mid-point of PQ is:Coordinate Geometry
Q3179All the points in the set S = (α + i)/(α - i):α R \(i = √(- 1)) lie on a:Complex Numbers and Quadratic Equations
Q3368The value of ∫₀^(π /2) (sin ³x)/(sin x + cos x)dx isIntegral Calculus
Q3519The solution of the differential equation xdy/dx + 2y = x² (x ≠ 0) with y(1) = 1, is:Differential Equations
Q3800If the function ƒ: R – 1, –1 → A defined by ƒ(x) = (x²)/(1 - x²), is surjective, then A is equal toSets, Relations and Functions
Q3861Let Σ k = 1 ¹⁰ f(a + k) = 16(2¹⁰ - 1) where the function ƒ satisfies ƒ(x + y) = ƒ(x)ƒ(y) for all natural numbers x, y and ƒ(1) = 2. then the natural number…Sets, Relations and Functions
Q3950If the line y = mx + 7 3 is normal to the hyperbola (x²)/24 - (y²)/18 = 1, then a value of m is:Coordinate Geometry
Q4013The integral ∫ se c ^ 2/ 3 x cose c ^ 4 / 3 x dx is equal to (Hence C is a constant of integration)Integral Calculus
Q4135If the function ƒ defined on, ((π)/6,(π)/3) by f(x) = \ 2 cosx - 1 cot x - 1, x ≠ (π)/4 k, x = (π)/4. is continuous, then k is equal toLimit, Continuity and Differentiability
Q4184Let ƒ(x) = 15 – |x – 10|; x R. Then the set of all values of x, at which the function, g(x) = ƒ(ƒ(x)) is not differentiable, is:Limit, Continuity and Differentiability
Q4323For any two statements p and q, the negation of the expression p (~p q) is:Mathematical Reasoning
Q4451Let α and β be the roots of the equation x² + x + 1 = 0. Then for y ≠ 0 in R, | y + 1 α β α y + β 1 β 1 y + α | is equal toMatrices and Determinants
Q4481If [ 1 1 0 1 ][ 1 2 0 1 ] [ 1 3 0 1 ].... [ 1 n - 1 0 1 ] = [ 1 78 0 1 ], then the inverse of [ 1 n 0 1 ] isMatrices and Determinants
Q4670If one end of a focal chord of the parabola, y² = 16x is at (1, 4), then the length of this focal chord is:Coordinate Geometry
Q4772A committee of 11 members is to be formed from 8 males and 5 females. If m is the number of ways the committee is formed with at least 6 males and n is the…Permutations and Combinations
Q4951Four persons can hit a target correctly with probabilities 1/2, 1/3, 1/4 and 1/8 respectively. if all hit at the target independently, then the probability…Statistics and Probability
Q5136Let p, q R. If 2 - 3 is a root of the quadratic equation, x² + px + q = 0, then:Complex Numbers and Quadratic Equations
Q5204Let the sum of the first n terms of a non-constant A.P., a₁, a₂, a₃,..... be 50n + (n(n - 7))/2A, where A is a constant. If d is the common difference of this…Sequence and Series
Q5442If the standard deviation of the numbers –1, 0, 1, k is 5 where k > 0, then k is equal toStatistics and Probability
Q5605Slope of a line passing through P(2, 3) and intersecting the line, x + y = 7 at a distance of 4 units from P, is:Coordinate Geometry
Q5650The value of cos²10° – cos10°cos50° + cos²50° isTrigonometry
Q5809Let α = 3 i + j and β = 2 i - j + 3 k. If β = β ₁ - β ₂, where β ₁ is parallel to α and β ₂ is perpendicular to α, then β ₁ × β ₂ is equal toVector Algebra