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JEE Main 2019 10 Apr Evening shift Question Paper with Solutions | JEE Arc

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JEE Main 201910 Apr, Evening shift

Physics 23Chemistry 20Mathematics 30

Physics

Q5947A coil of self inductance 10 mH and resistance 0.1 Ω is connected through a switch to a battery of internal resistance 0.9 Ω. After the switch is closed, the…Electromagnetic Induction and Alternating Currents
Q5988In Li⁺ +, electron in first Bohr orbit is excited to a level by a radiation of wavelength λ. When the ion gets deexcited to the ground state in all possible…Atoms and Nuclei
Q6090Two radioactive substances A and B have decay constants 5 λ and λ respectively. At t = 0, a sample has the same number of the two nuclei. The time taken for…Atoms and Nuclei
Q6514Space between two concentric conducting spheres of radii a and b (b > a) is filled with a medium of resistivity ρ. The resistance between the two spheres will…Current Electricity
Q6598A 2 mW laser operates at wavelength of 500 nm. The number of photons that will be emitted per second is: [Given Planck's constant h = 6.6 × 10^–34 Js, speed…Dual Nature of Matter and Radiation
Q6744Light is incident normally on a completely absorbing surface with an energy flux of 25 W cm^–2. If the surface has an area of 25 cm², the momentum transferred…Electromagnetic Waves
Q7007In free space, a particle A of charge 1 μ C is held fixed at a point P. Another particle B of the same charge and mass 4 μ g is kept at a distance of 1 mm…Electrostatics
Q7256A spaceship orbits around a planet at a height of 20 km from its surface. Assuming that only gravitational field of the planet acts on the spaceship, what…Gravitation
Q7365When heat Q is supplied to a diatomic gas of rigid molecules, at constant volume its temperature increases by Δ T. the heat required to produce the same…Thermodynamics
Q7476One mole of ideal gas passes through a process where pressure and volume obey the relation P = P₀[ 1 - 1/2(V₀/V)² ]. Here P₀ and V₀ are constants. Calculate…Thermodynamics
Q7581A bullet of mass 20 g has an initial speed of 1 ms^–1, just before it starts penetrating a mud wall of thickness 20 cm. If the wall offers a mean resistance…Laws of Motion
Q7677The magnitude of the magnetic field at the centre of an equilateral triangular loop of side 1 m which is carrying a current of 10 A is: [Take μ ₀ = 4 π ×…Magnetic Effects of Current and Magnetism
Q7724A square loop is carrying a steady current I and the magnitude of its magnetic dipole moment is m. if this square loop is changed to a circular loop and it…Magnetic Effects of Current and Magnetism
Q7899Water from a tap emerges vertically downwards with an initial speed of 1.0 ms^–1. The cross-sectional area of the tap is 10^–4 m². Assume that the pressure is…Properties of Solids and Liquids
Q7934In an experiment, brass and steel wires of length 1 m each with areas of cross section 1mm² are used. The wires are connected in series and one end of the…Properties of Solids and Liquids
Q7982A cubical block of side 0.5 m floats on water with 30% of its volume under water. What is the maximum weight that can be put on the block without fully…Properties of Solids and Liquids
Q7983A submarine experiences a pressure of 5.05 × 10⁶ Pa at a depth of d₁ in a sea. When it goes further to a depth of d₂, it experiences a pressure of 8.08 × 10⁶…Properties of Solids and Liquids
Q8003The elastic limit of brass is 379 MPa. What should be the minimum diameter of a brass rod if it is to support a 400 N load without exceeding its elastic limit?Properties of Solids and Liquids
Q8047The time dependence of the position of a particle of mass m = 2 is given by r (t) = 2t i - 3t² j. Its angular momentum, with respect to the origin, at time t…Rotational Motion
Q8048A solid sphere of mass M and radius R is divided into two unequal parts. The first part has a mass of 7M/8 and is converted into a uniform disc of radius 2R…Rotational Motion
Q8226In the formula X = 5YZ², X and Z have dimensions of capacitance and magnetic field, respectively. What are the dimensions of Y in SI units?Units and Measurements
Q8420In a Young's double slit experiment, the ratio of the slit's width is 4: 1. The ratio of the intensity of maxima to minima, close to the central fringe on the…Optics
Q8526A source of sound S is moving with a velocity of 50 m/s towards a stationary observer. The observer measures the frequency of the source as 1000 Hz. What will…Oscillations and Waves

Chemistry

Q73The increasing order of nucleophilicity of the following nucleophiles is: (a) CH₃CO₂^ - (b) H₂O (c) CH₃SO₃^ - (d) O^(- H)Some Basic Principles of Organic Chemistry
Q102Which of these factors does not govern the stability of a conformation in acyclic compounds?Some Basic Principles of Organic Chemistry
Q121In chromatography, which of the following statements is incorrect for R f ?Some Basic Principles of Organic Chemistry
Q157Number of stereo centers present in linear and cyclic structures of glucose are respectively:Biomolecules
Q436For the reaction, 2SO₂(g) + O₂(g) = 2SO₃(g), Δ H = –57.2 kJ mol^–1 and K C = 1.7 × 10¹⁶ Which of the following statement is incorrect ?Equilibrium
Q447For the reaction of H₂ with I₂, the rate constant is 2.5 × 10^–4 dm³ mol^–1s^–1 at 327°C and 1.0 dm³ mol^–1 at 527°C. The activation energy for the reaction…Chemical Kinetics
Q609The crystal field stabilization energy (CFSE) of [Fe(H₂O)₆]Cl₂ and K₂[NiCl₄] respectively, are:Coordination Compounds
Q810The highest possible oxidation states of uranium and plutonium, respectively are:d- and f-Block Elements
Q865The correct order of the first ionization enthalpies is:d- and f-Block Elements
Q866The INCORRECT statement is:d- and f-Block Elements
Q1019Air pollution that occurs in sunlight is:Environmental Chemistry
Q1206The correct statements among (a) to (d) are: (a) saline hydrides produce H₂ gas when reacted with H₂O. (b) reaction of LiAlH₄ with BF₃ leads to B₂H₆. (c) PH₃…Hydrogen
Q1320The pH of a 0.02 M NH₄Cl solution will be: [given K b (NH₄OH) = 10^–5 and log 2 = 0.301]Equilibrium
Q1541The noble gas that does not occur in the atmosphere is:p-Block Elements
Q1680The correct match between Item-I and Item-II is: Item - I Item - II (a) High density polythene (I) Peroxide catalyst (b) Polyacrylonitrile (II) Condensation…Polymers
Q19861 g of a non-volatile non-electrolyte solute is dissolved in 100 g of two different solvents A and B whose ebullioscopic constants are in the ratio of 1: 5…Solutions
Q2072The minimum amount of O₂(g) consumed per gram of reactant is for the reaction: (Given atomic mass: Fe = 56, O = 16, Mg = 24, P = 31, C = 12, H = 1)Some Basic Concepts in Chemistry
Q2163The ratio of the shortest wavelength of two spectral series of hydrogen spectrum is found to be about 9. The spectral series are:Atomic Structure
Q2240The correct option among the following is:Surface Chemistry
Q2354The difference between Δ H and Δ U (Δ H – Δ U), when the combustion of one mole of heptane(l) is carried out at a temperature T, is equal to:Chemical Thermodynamics

Mathematics

Q2409A perpendicular is drawn from a point on the line (x - 1)/2 = (y + 1)/(- 1) = z/1 to the plane x + y + z = 3 such that the foot of the perpendicular Q also…Three Dimensional Geometry
Q2562If the plane 2x – y + 2z + 3 = 0 has the distances 1/3 and 2/3 units from the planes 4x – 2y + 4z + λ = 0 and 2x – y + 2z + μ = 0, respectively, then the…Three Dimensional Geometry
Q2743A spherical iron ball of radius 10 cm is coated with a layer of ice of uniform thickness that melts at a rate of 50 cm³ /min. When the thickness of the ice is…Limit, Continuity and Differentiability
Q2768If the tangent to the curve y = x/(x² - 3), x ρ,(x ≠ ± 3), at a point (α, β) ≠ (0, 0) on it is parallel to the line 2x + 6y – 11 = 0, then:Limit, Continuity and Differentiability
Q2814The area (in sq.units) of the region bounded by the curves y = 2ˣ and y = |x + 1|, in the first quadrant is:Integral Calculus
Q2916The smallest natural number n, such that the coefficient of x in the expansion of (x² + 1/(x³))ⁿ is ⁿC₂₃, is:Binomial Theorem and Its Simple Applications
Q3069The locus of the centres of the circles, which touch the circle, x² + y² = 1 externally, also touch the y-axis and lie in the first quadrant, is:Coordinate Geometry
Q3210If z and w are two complex numbers such that |zw| = 1 and arg(z) – arg(w) = (π)/2, then:Complex Numbers and Quadratic Equations
Q3365The integral ∫ π /6 ^(π /3) sec ^(2/3) x cos e c^(4/3) xdx is equal to:Integral Calculus
Q3522Let y = y(x) be the solution of the differential equation, dy/dx + y tan x = 2x + x² tan x, x (- (π)/2,(π)/2), such that y(0) = 1. Then:Differential Equations
Q3658Let f(x) = log e (sin x), (0 < x < π) and g(x) = sin^–1 (e^–x), (x ≥ 0). If α is a positive real number such that a = (fog)'(α) and b = (fog)(α), then:Limit, Continuity and Differentiability
Q3728The tangent and normal to the ellipse 3x² + 5y² = 32 at the point P(2, 2) meet the x-axis at Q and R, respectively. Then the area (in sq. units) of the…Coordinate Geometry
Q3967If 5x + 9 = 0 is the directrix of the hyperbola 16x² – 9y² = 144, then its corresponding focus is:Coordinate Geometry
Q4011If ∫ x⁵ e^(- x²)dx = g(x)e^(- x²) + c, where c is a constant of integration, then g (–1) is equal to:Integral Calculus
Q4091If cos ⁻¹x - cos ⁻¹y/2 = α,where –1 ≤ x ≤ 1, – 2 ≤ y ≤ 2, x ≤ y/2, then for all x, y, 4x² – 4xy cos α + y² is equal to:Trigonometry
Q4229If lim x → 1 (x² - ax + b)/(x - 1) = 5, then a + b is equal to:Limit, Continuity and Differentiability
Q4320The negation of the Boolean expression ~ s (~r s) is equivalent to:Mathematical Reasoning
Q4449The sum of the real roots of the equation | x - 6 - 1 2 - 3x x - 3 - 3 2x x + 2 | = 0, is equal to:Matrices and Determinants
Q4564Let λ be a real number for which the system of linear equations x + y + z = 6, 4x + λ y – λ z = λ – 2, 3x + 2y – 4z = – 5 has infinitely many solutions. Then…Matrices and Determinants
Q4682If the line ax + y = c, touches both the curves x² + y² = 1 and y² = 4 2 x, then |c| is equal to:Coordinate Geometry
Q4760Suppose that 20 pillars of the same height have been erected along the boundary of a circular stadium. If the top of each pillar has been connected by beams…Permutations and Combinations
Q4909Minimum number of times a fair coin must be tossed so that the probability of getting at least one head is more than 99% is:Statistics and Probability
Q5041The angles A, B and C of a triangle ABC are in A.P. and a: b = 1: 3. If c = 4 cm, then the area (in sq. cm) of this triangle is:Properties of Triangle
Q5081The number of real roots of the equation 5 + |2ˣ – 1| = 2ˣ (2ˣ – 2) isComplex Numbers and Quadratic Equations
Q5202Let a₁, a₂, a₃,......be an A.P. with a₆ = 2. Then the common difference of this A.P., which maximises the product a₁a₄a₅, is:Sequence and Series
Q5250Let a, b and c be in G.P. with common ratio r, where a ≠ 0 and 0 < r ≤ 1/2. If 3 a, 7b and 15c are the first three terms of an A.P., then the 4^(t)h term of…Sequence and Series
Q5302The sum 1 + (1³ + 2³)/(1 + 2) + (1³ + 2³ + 3³)/(1 + 2 + 3) +...... + (1³ + 2³ + 3³ +... + 15³)/(1 + 2 + 3 +... + 15) - 1/2(1 + 2 + 3 +... + 15) is equal to:Sequence and Series
Q5441If both the mean and the standard deviation of 50 observations x₁, x₂,..., x₅₀ are equal to 16, then the mean of (x₁ – 4)², (x₂ – 4)²,....., (x₅₀ – 4)² is:Statistics and Probability
Q5552Lines are drawn parallel to the line 4x – 3y + 2 = 0, at a distance 3/5 from the origin. Then which one of the following points lies on any of these lines ?Coordinate Geometry
Q5808The distance of the point having position vector - i + 2 j + 6 k from the straight line passing through the point (2, 3, – 4) and parallel to the vector, 6 i…Vector Algebra