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JEE Main 2022 24 Jun Morning shift Question Paper with Solutions | JEE Arc

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JEE Main 202224 Jun, Morning shift

Physics 26Chemistry 21Mathematics 29

Physics

Q58In a potentiometer arrangement, a cell gives a balancing point at 75 cm length of wire. This cell is now replaced by another cell of unknown emf. If the ratio…Current Electricity
Q59When light of frequency twice the threshold frequency is incident on the metal plate, the maximum velocity of emitted electron is v₁. When the frequency of…Dual Nature of Matter and Radiation
Q61A transistor is used in common-emitter mode in an amplifier circuit. When a signal of 10 mV is added to the base-emitter voltage, the base current changes by…Electronic Devices
Q63Two identical thin biconvex lens of focal length 15 cm and refractive index 1.5 are in contact with each other. The space between the lenses is filled with a…Optics
Q650.056 kg of Nitrogen is enclosed in a vessel at a temperature of 127° C. Th amount of heat required to double the speed of its molecules is _ _ _ _ _ _ k cal…Thermodynamics
Q70From the top of a tower, a ball is thrown vertically upward which reaches the ground in 6 s. A second ball thrown vertically downward from the same position…Kinematics
Q72A metre scale is balanced on a knife edge at its centre. When two coins, each of mass 10 g are put one on the top of the other at the 10.0 cm mark the scale…Rotational Motion
Q74Sodium light of wavelengths 650 nm and 655 nm is used to study diffraction at a single slit of aperture 0.5 mm. The distance between the slit and the screen…Optics
Q5904A resistance of 40 Ω is connected to a source of alternating current rated 220 V, 50 Hz. Find the time taken by the current to change from its maximum value…Electromagnetic Induction and Alternating Currents
Q5960Choose the correct option from the following options given below:Atoms and Nuclei
Q6053Nucleus A is having mass number 220 and its binding energy per nucleon is 5.6 MeV. It splits in two fragments 'B' and 'C' of mass numbers 105 and 115. The…Atoms and Nuclei
Q6188A parallel plate capacitor is formed by two plates each of area 30 π cm² separated by 1 mm. A material of dielectric strength 3.6 × 10⁷ Vm⁻¹ is filled between…Electrostatics
Q6279A boy ties a stone of mass 100 g to the end of a 2 m long string and whirls it around in a horizontal plane. The string can withstand the maximum tension of…Kinematics
Q6360A baseband signal of 3.5 MHz frequency is modulated with a carrier signal of 3.5 GHz frequency using amplitude modulation method. What should be the minimum…Communication Systems
Q6473Two identical cells each of emf 1.5 V are connected in parallel across a parallel combination of two resistors each of resistance 20 Ω. A voltmeter connected…Current Electricity
Q6792A plane electromagnetic wave travels in a medium of relative permeability 1.61 and relative permittivity 6.44. If magnitude of magnetic intensity is 4.5 ×…Electromagnetic Waves
Q6971A vertical electric field of magnitude 4.9 × 10⁵ N/C just prevents a water droplet of a mass 0.1 g from falling. The value of charge on the droplet will be…Electrostatics
Q7148The approximate height from the surface of earth at which the weight of the body becomes 1/3 of its weight on the surface of earth is: [Radius of earth R =…Gravitation
Q7555A block of mass 10 kg starts sliding on a surface with an initial velocity of 9.8 ms⁻¹. The coefficient of friction between the surface and block is 0.5. The…Laws of Motion
Q7687The magnetic field at the centre of a circular coil of radius r, due to current I flowing through it, is B. The magnetic field at a point along the axis at a…Magnetic Effects of Current and Magnetism
Q7710Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): In an uniform magnetic field, speed…Magnetic Effects of Current and Magnetism
Q7791A projectile is projected with velocity of 25 m/s at an angle θ with the horizontal. After t seconds its inclination with horizontal becomes zero. If R…Kinematics
Q7948The bulk modulus of a liquid is 3 × 10¹⁰ Nm⁻². The pressure required to reduce the volume of liquid by 2% is:Properties of Solids and Liquids
Q8258Identify the pair of physical quantities which have different dimensions:Units and Measurements
Q8556The equations of two waves are given by: y₁ = 5 sin 2 π (x - vt) cm y₂ = 3 sin 2 π (x - vt + 1.5) cm These waves are simultaneously passing through a string…Oscillations and Waves
Q8622A particle experiences a variable force F = (4x i + 3y² j) in a horizontal x-y plane. Assume distance in meters and force is newton. If the particle moves…Work, Energy and Power

Chemistry

Q42O₃(g) 3O₂(g) At 300 K, ozone is fifty percent dissociated. The standard free energy change at this temperature and 1 atm pressure is (-) _ _ _ _ _ _ J mol⁻¹…Equilibrium
Q5In the cobalt-carbonyl complex: [Co₂(CO)₈], number of Co-Co bonds is "X" and terminal CO ligands is "Y". X + Y = _ _ _ _ _ _.Coordination Compounds
Q7The difference in oxidation state of chromium in chromate and dichromate salts is _ _ _ _ _ _.d- and f-Block Elements
Q8The cell potential for the following cell Pt |H₂(g)|H⁺ (aq)|| Cu²⁺ (0.01 M)|Cu(s) is 0.576 V at 298 K. The pH of the solution is _ _ _ _ _. (Nearest integer)…Redox Reactions and Electrochemistry
Q16Atoms of element X form hcp lattice and those of element Y occupy 2/3 of its tetrahedral voids. The percentage of element X in the lattice is _ _ _ _ _ _…Solid State
Q17The osmotic pressure of blood is 7.47 bar at 300 K. To inject glucose to a patient intravenously, it has to be isotonic with blood. The concentration of…Solutions
Q18A 0.166 g sample of an organic compound was digested with conc. H₂SO₄ and then distilled with NaOH. The ammonia gas evolved was passed through 50.0 mL of 0.5…Some Basic Concepts in Chemistry
Q59Two statements are given below: Statement I: The melting point of monocarboxylic acid with even number of carbon atoms is higher than that of with odd number…Organic Compounds Containing Oxygen
Q177A polysaccharide 'X' on boiling with dil H₂SO₄ at 393 K under 2-3 atm pressure yields 'Y'. 'Y' on treatment with bromine water gives gluconic acid. 'X'…Biomolecules
Q420For a reaction at equilibrium A(g) B(g) + 1/2 C(g) the relation between dissociation constant (K), degree of dissociation (α) and equilibrium pressure (p) is…Equilibrium
Q740Match List - I with List - II: List - I List -II (A) [PtC l₄ ]²⁻ (I) s p³ d (B) Br F₅ (II) d²s p³ (C) PC l₅ (III) ds p² (D) [Co (N H₃)₆ ]³⁺ (IV) s p³ d²…Coordination Compounds
Q1256The highest industrial consumption of molecular hydrogen is to produce compounds of element:Hydrogen
Q1426Match List - I with List - II: List - I List -II (A) Sphalerite (I) FeCO ₃ (B) Calamine (II) PbS (C) Galena (III) ZnCO ₃ (D) Siderite (IV) ZnS Choose the most…Isolation of Elements
Q1492The most stable trihalide of nitrogen is:p-Block Elements
Q1639Given below are the oxides: Na₂O, As₂O₃, N₂O, NO and Cl₂O₇ Number of amphoteric oxides is:Classification of Elements and Periodicity in Properties
Q1701Which of the following is an example of polyester?Polymers
Q1776During the qualitative analysis of salt with cation y²⁺, addition of a reagent (X) to alkaline solution of the salt gives a bright red precipitate. The…Principles Related to Practical Chemistry
Q1859Which of the following statements are correct? (A) Both LiCl and MgCl₂ are soluble in ethanol. (B) The oxides Li₂O and MgO combine with excess of oxygen to…S Block Elements
Q2101If a rocket runs on a fuel (C₁₅H₃₀) and liquid oxygen, the weight of oxygen required and CO₂ released for every litre of fuel respectively are: (Given…Some Basic Concepts in Chemistry
Q2204Consider the following pairs of electrons (A) (a) n = 3, l = 1, m₁ = 1, m s = + 1/2 (b) n = 3, 1 = 2, m₁ = 1, m s = + 1/2 (B) (a) n = 3, l = 2, m₁ = - 2, m s…Atomic Structure
Q2271Given below are two statements: Statement I: Emulsions of oil in water are unstable and sometimes they separate into two layers on standing. Statement II: For…Surface Chemistry

Mathematics

Q22Let a line having direction ratios, 1, - 4, 2 intersect the lines (x - 7)/3 = (y - 1)/(- 1) = (z + 2)/1 and x/2 = (y - 7)/3 = z/1 at the points A and B. Then…Three Dimensional Geometry
Q23If the shortest distance between the lines r = (- i + 3 k) + λ (i - a j) and r = (- j + 2 k) + μ (i - j + k) is √(2/3), then the integral value of a is equal…Three Dimensional Geometry
Q29Let S be the region bounded by the curves y = x³ and y² = x. The curve y = 2|x| divides S into two regions of areas R₁, R₂. If max R₁, R₂ = R₂, then R₂/R₁ is…Integral Calculus
Q32Let f(θ) = sin θ + ∫ - π /2 ^(π /2) (sin θ + t cos θ)f(t)dt. Then the value of | ∫₀^(π /2) f(θ)dθ | is _ _ _ _ _ _ _.Integral Calculus
Q33Let Max 0 ≤ x ≤ 2 (9 - x²)/(5 - x) = α and Min 0 ≤ x ≤ 2 (9 - x²)/(5 - x) = β. If ∫ β - 8/3 ^(2α - 1) Max (9 - x²)/(5 - x),x = α ₁ + α ₂ log e (8/15) then α ₁…Integral Calculus
Q35If two tangents drawn from a point (α, β) lying on the ellipse 25x² + 4y² = 1 to the parabola y² = 4x are such that the slope of one tangent is four times the…Coordinate Geometry
Q36The number of one-one functions f: a, b, c, d → 0, 1, 2,......, 10 such that 2f(a) - f(b) + 3f(c) + f(d) = 0 is _ _ _ _ _ _.Sets, Relations and Functions
Q39The number of points where the function f(x) = \ |2x² - 3x - 7| if x ≤ - 1 [4x² - 1] if - 1 < x < 1 |x + 1| + |x - 2| if x ≥ 1. [t] denotes the greatest…Limit, Continuity and Differentiability
Q44In an examination, there are 5 multiple choice questions with 3 choices, out of which exactly one is correct. There are 3 marks for each correct answer, - 2…Permutations and Combinations
Q49Let A(3/(a), a), a > 0, be a fixed point in the xy-plane. The image of A in y-axis be B and the image of B in x-axis be C. If D(3 cos θ,a sin θ) is a point in…Coordinate Geometry
Q2665The sum of absolute maximum and absolute minimum values of the function f(x) = |2x² + 3x - 2| + sin x cos x in the interval [0, 1] is:Limit, Continuity and Differentiability
Q2726For the function f(x) = 4 log e (x - 1) - 2x² + 4x + 5, x > 1, which one of the following is NOT correct?Limit, Continuity and Differentiability
Q2748The surface area of a balloon of spherical shape being inflated, increases at a constant rate. If initially, the radius of balloon is 3 units and after 5…Limit, Continuity and Differentiability
Q2788If the tangent at the point (x₁, y₁) on the curve y = x³ + 3x² + 5 passes through the origin, then (x₁, y₁) does NOT lie on the curve:Limit, Continuity and Differentiability
Q2789Let λ x - 2y = μ be a tangent to the hyperbola a²x² - y² = b². Then ((λ)/a)² - ((μ)/b)² is equal to:Limit, Continuity and Differentiability
Q2895The remainder when 3²⁰²² is divided by 5 is:Binomial Theorem and Its Simple Applications
Q3261Let A = z C:1 ≤ |z - (1 + i)| ≤ 2 and B = z A:|z - (1 - i)| = 1. Then, B:Complex Numbers and Quadratic Equations
Q3545If x = x(y) is the solution of the differential equation ydx/dy = 2x + y³(y + 1)e^(y), x(1) = 0; then x(e) is equal to:Differential Equations
Q4066The domain of the function f(x) = (cos ⁻¹((x² - 5x + 6)/(x² - 9)))/(log e (x² - 3x + 2)) is:Trigonometry
Q4109The set of all values of k for which (tan ⁻¹x)³ + (cot ⁻¹x)³ = k π ³, x R, is the interval:Trigonometry
Q4368The number of choices for Δ,, ⇒,, such that (pΔ q) ⇒ ((pΔ q) ((p)Δ q)) is a tautology, is:Mathematical Reasoning
Q4532Let S = √(n): 1 ≤ n ≤ 50 and n is odd. Let a S and A = [ 1 0 a - 1 1 0 - a 0 1 ]. If Σ a S det (adj A) = 100λ, then λ is equal to:Matrices and Determinants
Q4610The number of values of α for which the system of equations: x + y + z = α α x + 2 α y + 3z = - 1 x + 3 α y + 5z = 4 is inconsistent, isMatrices and Determinants
Q4688Let x² + y² + Ax + By + C = 0 be a circle passing through (0, 6) and touching the parabola y = x² at (2, 4). Then A + C is equal to _ _ _ _ _ _.Coordinate Geometry
Q4860Bag A contains 2 white, 1 black and 3 red balls and bag B contains 3 black, 2 red and n white balls. One bag is chosen at random and 2 balls drawn from it at…Statistics and Probability
Q4889If a random variable X follows the Binomial distribution B(33, p) such that 3P(X = 0) = P(X = 1), then the value of (P(X = 15))/(P(X = 18)) - (P(X = 16))/(P(X…Statistics and Probability
Q5155If the sum of the squares of the reciprocals of the roots α and β of the equation 3x² + λ x - 1 = 0 is 15, then 6(α ³ + β ³)² is equal to:Complex Numbers and Quadratic Equations
Q5225If a i i = 1 ⁿ, where n is an even integer, is an arithmetic progression with common difference 1, and Σ i = 1 ⁿ a i = 192, Σ i = 1 ^(n/2) a 2i = 120, then n…Sequence and Series
Q5823Let a, b be unit vectors. If c be a vector such that the angle between a and c is (π)/12, and b = c + 2(c × a), then | 6 c |² is equal to:Vector Algebra