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JEE Main 2022 25 Jun Morning shift Question Paper with Solutions | JEE Arc

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JEE Main 202225 Jun, Morning shift

Physics 26Chemistry 24Mathematics 28

Physics

Q57A resistor develops 300 J of thermal energy in 15 s, when a current of 2 A is passed through it. If the current increases to 3 A, the energy developed in 10 s…Current Electricity
Q60The current in a coil of self inductance 2.0 H is increasing according to I = 2 sin(t²) A. The amount of energy spent during the period when current changes…Electromagnetic Induction and Alternating Currents
Q67A force on an object of mass 100 g is (10 i + 5 j) N. The position of that object at t = 2 s is (a i + b j) m after starting from rest. The value of a/b will…Laws of Motion
Q70The velocity of upper layer of water in a river is 36 kmh⁻¹. Shearing stress between horizontal layers of water is 10⁻³ Nm⁻². Depth of the river is _ _ _ _ _…Properties of Solids and Liquids
Q76The first overtone frequency of an open organ pipe is equal to the fundamental frequency of a closed organ pipe. If the length of the closed organ pipe is 20…Oscillations and Waves
Q77A uniform chain of 6 m length is placed on a table such that a part of its length is hanging over the edge of the table. The system is at rest. The…Work, Energy and Power
Q78A 0.5 kg block moving at a speed of 12 ms⁻¹ compresses a spring through a distance 30 cm when its speed is halved. The spring constant of the spring will be _…Work, Energy and Power
Q5902If wattless current flows in the AC circuit, then the circuit is:Electromagnetic Induction and Alternating Currents
Q5941Match List-I with List-II. List - I List -II (A) AC generator (I) Detects the presence of current in the circuit (B) Galvanometer (II) Converts mechanical…Electromagnetic Induction and Alternating Currents
Q6008The ratio for the speed of the electron in the 3^(r)d orbit of He⁺ to the speed of the electron in the 3^(r)d orbit of hydrogen atom will be:Atoms and Nuclei
Q6321A signal of 100 THz frequency can be transmitted with maximum efficiency by:Communication Systems
Q6472A teacher in his physics laboratory allotted an experiment to determine the resistance (G) of a galvanometer. Students took the observations for 1/3…Current Electricity
Q6530Given below are two statements: Statement I: Davisson-Germer experiment establishes the wave nature of electrons. Statement II: If electrons have wave nature…Dual Nature of Matter and Radiation
Q6790The electric field in an electromagnetic wave is given by E = 56.5 sin ω (t - x/c) NC⁻¹. Find the intensity of the wave if it is propagating along x-axis in…Electromagnetic Waves
Q6879The photodiode is used to detect the optical signals. These diodes are preferably operated in reverse biased mode because:Electronic Devices
Q7112A light wave travelling linearly in a medium of dielectric constant 4, incidents on the horizontal interface separating medium with air. The angle of…Optics
Q7113The difference of speed of light in the two media A and B (v A - v B) is 2.6 × 10⁷ m/s. If the refractive index of medium B is 1.47, then the ratio of…Optics
Q7147The height of any point P above the surface of earth is equal to diameter of earth. The value of acceleration due to gravity at point P will be: (Given g =…Gravitation
Q7401The relation between root mean square speed (v r ms) and most probable sped (v p) for the molar mass M of oxygen gas molecule at the temperature of 300 K will…Kinetic Theory of Gases
Q7660A long straight wire with a circular cross-section having radius R, is carrying a steady current I. The current I is uniformly distributed across this…Magnetic Effects of Current and Magnetism
Q7913The terminal velocity (v t) of the spherical rain drop depends on the radius (r) of the spherical rain drop as:Properties of Solids and Liquids
Q8111If force F = 3 i + 4 j - 2 k acts on a particle position vector 2 i + j + 2 k then, the torque about the origin will be:Rotational Motion
Q8309If Z = (A²B³)/(C⁴), then the relative error in Z will be:Units and Measurements
Q8374A is a vector quantity such that | A | = non-zero constant. Which of the following expression is true for A ?Kinematics
Q8381Which of the following relations is true for two unit vector A and B making an angle θ to each other?Kinematics
Q8444The two light beams having intensities I and 9I interfere to produce a fringe pattern on a screen. The phase difference between the beams is π /2 at point P…Optics

Chemistry

Q5The standard free energy change (Δ G°) for 50% dissociation of N₂O₄ into NO₂ at 27° C and 1 atm pressure is - x J mol⁻¹. The value of x is _ _ _ _ _ _…Equilibrium
Q6For a given chemical reaction γ ₁A + γ ₂B → γ ₃C + γ ₄D Concentration of C changes from 10 mmol dm⁻³ to 20 mmol dm⁻³ in 10 seconds. Rate of appearance of D is…Chemical Kinetics
Q8If [Cu(H₂O)₄]²⁺ absorbs a light of wavelength 600 nm for d-d transition, then the value of octahedral crystal field splitting energy for [Cu(H₂O)₆]²⁺ will be…Coordination Compounds
Q11In a cell, the following reactions take place F e²⁺ → F e³⁺ + e^ - E_ F e³⁺ /F e²⁺ ^(o) = 0.77 V 2I^ - → I₂ + 2e^ - E I₂/I^ - ^(o) = 0.54 V The standard…Redox Reactions and Electrochemistry
Q16The distance between Na⁺ and Cl⁻ⁱons in solid NaCl of density 43.1 g cm⁻³ is _ _ _ _ _ _ _ _ × 10⁻¹0 m. (Nearest Integer) (Given: N A = 6.02 × 10²³ mol⁻¹)Solid State
Q17Number of grams of bromine that will completely react with 5.0 g of pent-1-ene is _ _ _ _ _ _ × 10⁻² g. (Atomic mass of Br = 80 g/mol) [Nearest Integer]Some Basic Concepts in Chemistry
Q181 L aqueous solution of H₂SO₄ contains 0.02 m mol H₂SO₄. 50% of this solution is diluted with deionized water to give 1 L solution (A). In solution (A), 0.01…Some Basic Concepts in Chemistry
Q19The number of N atoms in 681 g of C₇H₅N₃O₆ is x × 10²¹. The value of x is (N A = 6.02 × 10²³ mol⁻¹) (Nearest Integer)Some Basic Concepts in Chemistry
Q20The longest wavelength of light that can be used for the ionisation of lithium atom (Li) in its ground state is x × 10⁻⁸ m. The value of x is _ _ _ _ _ _…Atomic Structure
Q24The standard entropy change for the reaction 4Fe(s) + 3O₂(g) → 2Fe₂O₃(s) is - 550 J K⁻¹ at 298 K. [Given: The standard enthalpy change for the reaction is…Chemical Thermodynamics
Q110The IUPAC name of ethylidene chloride is:Some Basic Principles of Organic Chemistry
Q133Phenol on reaction with dilute nitric acid, gives two products. Which method will be most efficient for large scale separation?Some Basic Principles of Organic Chemistry
Q310Number of electron deficient molecules among the following PH₃, B₂H₆, CCl₄, NH₃, LiH and BCl₃ isChemical Bonding and Molecular Structure
Q377Bonding in which of the following diatomic molecule(s) become(s) stronger, on the basis of MO Theory, by removal of an electron? (A) NO (B) N₂ (C) O₂ (D) C₂…Chemical Bonding and Molecular Structure
Q515Which one of the following is an example of artificial sweetner?Chemistry in Everyday Life
Q830Cerium (IV) has a noble gas configuration. Which of the following is correct statement about it?d- and f-Block Elements
Q885Among the following, which is the strongest oxidizing agent?d- and f-Block Elements
Q1098The eutrophication of water body results in:Environmental Chemistry
Q1359Leaching of gold with dilute aqueous solution of NaCN in presence of oxygen gives complex [A], which on reaction with zinc forms the elemental gold and…Isolation of Elements
Q1531White precipitate of AgCl dissolves in aqueous ammonia solution due to formation of:p-Block Elements
Q1890Which one of the following alkaline earth metal ions has the highest ionic mobility in its aqueous solution?S Block Elements
Q2146The pair, in which ions are isoelectronic with AI³⁺ is:Atomic Structure
Q2269Incorrect statement for Tyndall effect is:Surface Chemistry
Q2270Using very little soap while washing clothes, does not serve the purpose of cleaning of clothes, because:Surface Chemistry

Mathematics

Q26Let the lines L₁: r = λ (i + 2 j + 3 k), λ R L₂: r = (i + 3 j + k) + μ (i + j + 5 k); μ R, intersect at the point S. If a plane ax + by - z + d = 0 passes…Three Dimensional Geometry
Q28Let C r denote the binomial coefficient of x^(r) in the expansion of (1 + x)¹⁰. If for α, β R, C₁ + 3.2C₂ + 5.3C₃ +....... upto 10 terms = (α × 2¹¹)/(2^β…Binomial Theorem and Its Simple Applications
Q29Let the abscissae of the two points P and Q be the roots of 2x² - rx + p = 0 and the ordinates of P and Q be the roots of x² - sx - q = 0. If the equation of…Coordinate Geometry
Q38Let f:R → R be a function defined by f(x) = (2(1 - (x²⁵)/2)(2 + x²⁵))^(1/50). If the function g(x) = f(f(f(x))) + f(f(x)), then the greatest integer less than…Sets, Relations and Functions
Q46Let A be a 3 × 3 matrix having entries from the set - 1, 0, 1. The number of all such matrices A having sum of all the entries equal to 5, is _ _ _ _ _ _.Permutations and Combinations
Q47The number of 3-digit odd numbers, whose sum of digits is a multiple of 7, is _ _ _ _ _ _ _.Permutations and Combinations
Q49For a natural number n, let α n = 19ⁿ - 12ⁿ. Then, the value of (31α ₉ - α ₁₀)/(57α ₈) is _ _ _ _ _ _.Sequence and Series
Q50The greatest integer less than or equal to the sum of first 100 terms of the sequence 1/3,5/9,19/27,65/81,...... is equal to _ _ _ _ _ _.Sequence and Series
Q52Let θ be the angle between the vectors a and b, where | a | = 4, | b | = 3 and θ ((π)/4,(π)/3). Then | (a - b) × (a + b) |² + 4(a. b)² is equal to _ _ _ _ _.Vector Algebra
Q2447Let Q be the mirror image of the point P(1, 0, 1) with respect to the plane S: x + y + z = 5. If a line L passing through (1, - 1, - 1), parallel to the line…Three Dimensional Geometry
Q2894If 1/(2. 3¹⁰) + 1/(2². 3⁹) +..... + 1/(2¹⁰. 3) = K/(2¹⁰. 3¹⁰), then the remainder when K is divided by 6 is:Binomial Theorem and Its Simple Applications
Q3136Let a circle C touch the lines L₁:4x - 3y + K₁ = 0 and L₂ = 4x - 3y + K₂ = 0, K₁,K₂ R. If a line passing through the centre of the circle C intersects L₁ at…Coordinate Geometry
Q3216Let a circle C in complex plane pass through the points z₁ = 3 + 4i, z₂ = 4 + 3i and z₃ = 5i. If z(≠ z₁) is a point on C such that the line through z and z₁…Complex Numbers and Quadratic Equations
Q3434The value of ∫₀^π (e^(cos x) sin x)/((1 + cos ²x)(e^(cos x) + e^(- cos x)))dx is equal to:Integral Calculus
Q3544Let y = y(x) be the solution of the differential equation (x + 1)y' - y = e³ˣ(x + 1)², with y(0) = 1/3. Then, the point x = - 4/3 for the curve y = y(x) is:Differential Equations
Q3625Let g:(0,∞) → R be a differentiable function such that ∫ ((x(cos x - sin x))/(eˣ + 1) + g(x)(eˣ + 1 - x eˣ) (eˣ + 1)²)dx = (x g(x))/(eˣ + 1) + c, for all x >…Differential Equations
Q3626If the solution curve y = y(x) of the differential equation y²dx + (x² - xy + y²)dy = 0, which passes through the point (1, 1) and intersects the line y = 3 x…Differential Equations
Q3659Let f: R → R be defined as f(x) = x³ + x - 5. If g(x) is a function such that f(g(x)) = x, 'x' R, then g'(63) is equal to _ _ _ _ _ _ _ _.Limit, Continuity and Differentiability
Q3828Let f:R → R and g:R → R be two functions defined by f(x) = log e (x² + 1) - e⁻ˣ + 1 and g(x) = (1 - 2e²ˣ)/(eˣ). Then, for which of the following range of α…Sets, Relations and Functions
Q3869Let f: N → R be a function such that f(x + y) = 2f(x)f(y) for natural numbers x and y. If f(1) = 2, then the value of α for which Σ k = 1 ¹⁰ f(α + k) =…Sets, Relations and Functions
Q4240Let f(x) be a polynomial function such that f(x) + f'(x) + f''(x) = x⁵ + 64. Then, the value of lim x → 1 (f(x))/(x - 1) is equal to:Limit, Continuity and Differentiability
Q4367Consider the following two propositions: P1: (p → q) P2:(p q) ((p) q) If the proposition p → ((p) q) is evaluated as FALSE, then:Mathematical Reasoning
Q4608Let A be a 3 × 3 real matrix such that A(1 1 0) = (1 1 0);A(1 0 1) = (- 1 0 1) and A(0 0 1) = (1 1 2). If X = (x₁,x₂,x₃)^(T) and I is an identity matrix of…Matrices and Determinants
Q4647Let A = [ 0 - 2 2 0 ]. If M and N are two matrices given by M = Σ k = 1 ¹⁰ A^(2k) and N = Σ k = 1 ¹⁰ A^(2k - 1) then MN² is:Matrices and Determinants
Q4687If y = m₁x + c₁ and y = m₂x + c₂, m₁ ≠ m₂ are two common tangents of circle x² + y² = 2 and parabola y² = x, then the value of 8|m₁m₂| is equal to:Coordinate Geometry
Q4731Let x = 2t, y = (t²)/3 be a conic. Let S be the focus and B be the point on the axis of the conic such that SA BA, where A is any point on the conic. If k is…Coordinate Geometry
Q4962Let E₁ and E₂ be two events such that the conditional probabilities P(E₁|E₂) = 1/2, P(E₂|E₁) = 3/4 and P(E₁ E₂) = 1/8. Then:Statistics and Probability
Q5777Let a = a₁ i + a₂ j + a₃ k a i > 0, i = 1,2,3 be a vector which makes equal angles with the coordinate axes OX, OY and OZ. Also, let the projection of a on…Vector Algebra