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 2022 26 Jun 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 202226 Jun, Morning shift

Physics 20Chemistry 23Mathematics 30

Physics

Q59A 10 Ω, 20 mH coil carrying constant current is connected to a battery of 20 V through a switch. Now after switch is opened current becomes zero in 100 μ s…Electromagnetic Induction and Alternating Currents
Q67A fighter jet is flying horizontally at a certain altitude with a speed of 200 ms⁻¹. When it passes directly overhead an anti-aircraft gun, a bullet is fired…Kinematics
Q68A ball of mass 0.5 kg is dropped from the height of 10 m. The height, at which the magnitude of velocity becomes equal to the magnitude of acceleration due to…Kinematics
Q69The elongation of a wire on the surface of the earth is 10⁻⁴ m. The same wire of same dimensions is elongated by 6 × 10⁻⁵ m on another planet. The…Properties of Solids and Liquids
Q73In a vernier callipers, each cm on the main scale is divided into 20 equal parts. If tenth vernier scale division coincides with nineth main scale division…Units and Measurements
Q6118How many alpha and beta particles are emitted when Uranium ₉₂U²³⁸ decays to lead ₈₂Pb²⁰⁶ ?Atoms and Nuclei
Q6241An object is thrown vertically upwards. At its maximum height, which of the following quantity becomes zero?Rotational Motion
Q6357Choose the correct statement for amplitude modulation:Communication Systems
Q6517An aluminium wire is stretched to make its length, 0.4% larger. The percentage change in resistance is:Current Electricity
Q6572An electron with speed v and a photon with speed c have the same de-Broglie wavelength. If the kinetic energy and momentum of electron are E e and p e and…Dual Nature of Matter and Radiation
Q6707The magnetic flux through a coil perpendicular to its plane is varying according to the relation φ = (5t³ + 4t² + 2t - 5) Weber. If the resistance of the coil…Electromagnetic Induction and Alternating Currents
Q6787If Electric field intensity of a uniform plane electromagnetic wave is given as E = - 301.6 sin (kz - ω t) a x + 452.4 sin (kz - ω t) a y V/m. Then magnetic…Electromagnetic Waves
Q6788In free space, an electromagnetic wave of 3 GHz frequency strikes over the edge of an object of size (λ)/100, where λ is the wavelength of the wave in free…Electromagnetic Waves
Q6947Given below two statements: One is labelled as Assertion (A) and other is labelled as Reason (R). Assertion (A): Non-polar materials do not have any permanent…Electrostatics
Q7399A thermally insulated vessel contains an ideal gas of molecular mass M and ratio of specific heats 1.4. Vessel is moving with speed v and is suddenly brought…Thermodynamics
Q7591A person is standing in an elevator. In which situation, he experiences weight loss?Laws of Motion
Q7762A proton and an alpha particle of the same velocity enter in a uniform magnetic field which is acting perpendicular to their direction of motion. The ratio of…Magnetic Effects of Current and Magnetism
Q8059A thin circular ring of mass M and radius R is rotating with a constant angular velocity 2 rads⁻¹ in a horizontal plane about an axis vertical to its plane…Rotational Motion
Q8208Time period of a simple pendulum in a stationary lift is 'T'. If the lift accelerates with g/6 vertically upwards then the time period will be: (Where g =…Oscillations and Waves
Q8255An expression for a dimensionless quantity P is given by P = (α)/(β) log e (kt/(β x)); where α and β are constants, x is distance; k is Boltzmann constant and…Units and Measurements

Chemistry

Q1Compound 'P' on nitration with dil. HNO₃ yields two isomers (A) and (B). These isomers can be separated by steam distillation. Isomers (A) and (B) show the…Organic Compounds Containing Oxygen
Q2The number of oxygens present in a nucleotide formed from a base, that is present only in RNA is _ _ _ _ _ _.Biomolecules
Q4A flask is filled with equal moles of A and B. The half lives of A and B are 100 s and 50 s respectively and are independent of the initial concentration. The…Chemical Kinetics
Q6The spin-only magnetic moment value of an octahedral complex among CoCl₃.4NH₃, NiCl₂.6H₂O and PtCl₄.2HCl, which upon reaction with excess of AgNO₃ gives 2…Coordination Compounds
Q7The spin-only magnetic moment value of the most basic oxide of vanadium among V₂O₃, V₂O₄ and V₂O₅ is _ _ _ _ _ _ B.M. (Nearest integer)d- and f-Block Elements
Q112.0 g of H₂ gas is adsorbed on 2.5 g of platinum powder at 300 K and 1 bar pressure. The volume of the gas adsorbed per gram of the adsorbent is _ _ _ _ _ mL…Gaseous State
Q1350 mL of 0.1 M CH₃COOH is being titrated against 0.1 M NaOH. When 25 mL of NaOH has been added, the pH of the solution will be _ _ _ _ _ _ _ × 10⁻². (Nearest…Equilibrium
Q19A 0.5 percent solution of potassium chloride was found to freeze at - 0.24° C. The percentage dissociation of potassium chloride is _ _ _ _ _ _ _. (Nearest…Solutions
Q21On complete combustion 0.30 g of an organic compound gave 0.20 g of carbon dioxide and 0.10 g of water. The percentage of carbon in the given organic compound…Some Basic Concepts in Chemistry
Q23For complete combustion of methanol CH₃OH(I) + 3/2 O₂(g) → CO₂(g) + 2H₂O(I) the amount of heat produced as measured by bomb calorimeter is 726 kJ mol⁻¹ at 27°…Chemical Thermodynamics
Q376Consider the ions/molecule O ₂⁺, O₂, O ₂^ -, O ₂²⁻ For increasing bond order the correct option is:Chemical Bonding and Molecular Structure
Q563Which statement is not true with respect to nitrate ion test?Coordination Compounds
Q1000The ((E)/(T)) P of different types of half cells are as follows: A B C D 1 × 10⁻⁴ 2 × 10⁻⁴ 0.1 × 10⁻⁴ 0.2 × 10⁻⁴ (Where E is the electromotive force) Which of…Redox Reactions and Electrochemistry
Q1039Polar stratospheric clouds facilitate the formation of:Environmental Chemistry
Q1115An evacuated glass vessel weighs 40.0 g when empty, 135.0 g when filled with a liquid of density 0.95 g mL⁻¹ and 40.5 g when filled with an ideal gas at 0.82…Gaseous State
Q1227Consider the following reaction: 2HSO₄^ - (aq) 0pt (2) Hydrolysis ^((1) Electrolysis) 2HSO₄⁻⁺ 2H⁺ + A The dihedral angle in product A in its solid phase at…Hydrogen
Q1371Given below are two statements: Statement I: According to Ellingham diagram, any metal oxide with higher Δ G° is more stable than the one with lower Δ G°…Isolation of Elements
Q1454Choose the correct stability order of group 13 elements in their + 1 oxidation state:p-Block Elements
Q1699Which of the following sets are correct regarding polymer? (A) Copolymer: Buna-S (B) Condensation polymer: Nylon-6,6 (C) Fibres: Nylon-6,6 (D) Thermosetting…Polymers
Q1753Given below are two statements: Statement I: In 'Lassaigne's Test', when both nitrogen and sulphur are present in an organic compound, sodium thiocyanate is…Principles Related to Practical Chemistry
Q1888The correct order of melting point is:S Block Elements
Q2041A commercially sold conc. HCl is 35% HCl by mass. If the density of this commercial acid is 1.46 g/mL, the molarity of this solution is: (Atomic mass: Cl =…Some Basic Concepts in Chemistry
Q2122If the radius of the 3^(r)d Bohr's orbit of hydrogen atom is r₃ and the radius of 4^(t)h Bohr's orbit is r₄. Then:Atomic Structure

Mathematics

Q33Let f(x) = max |x + 1|, |x + 2|,....., |x + 5|. Then ∫₋₆⁰ f(x)dx is equal to _ _ _ _ _.Integral Calculus
Q34The value of the integral 48/(π ⁴)∫₀^π ((3π x²)/2 - x³)(sin x)/(1 + cos ²x)dx is equal to _ _ _ _ _.Integral Calculus
Q35Let S = (0,2π) - (π)/2,(3π)/4,(3π)/2,(7π)/4. Let y = y(x), x S, be the solution curve of the differential equation dy/dx = 1/(1 + sin 2x), y((π)/4) = 1/2. If…Differential Equations
Q36Let the solution curve y = y(x) of the differential equation (4 + x²)dy - 2x(x² + 3y + 4)dx = 0 pass through the origin. Then y(2) is equal to _ _ _ _ _ _ _.Differential Equations
Q43Let the common tangents to the curves 4(x² + y²) = 9 and y² = 4x intersect at the point Q. Let an ellipse, centered at the origin O, has lengths of semi-minor…Coordinate Geometry
Q45There are ten boys B₁, B₂,......., B₁₀ and five girls G₁, G₂,........, G₅ in a class. Then the number of ways of forming a group consisting of three boys and…Permutations and Combinations
Q47The sum of the cubes of all the roots of the equation x⁴ - 3x³ - 2x² + 3x + 1 = 0 is _ _ _ _ _.Complex Numbers and Quadratic Equations
Q48Let A = n N: H.C.F. (n, 45) = 1 and Let B = 2k: k 1, 2,......., 100. Then the sum of all the elements of A B is _ _ _ _ _ _.Sets, Relations and Functions
Q49Let A = Σ i = 1 ¹⁰ Σ j = 1 ¹⁰ min i,j and B = Σ i = 1 ¹⁰ Σ j = 1 ¹⁰ max i,j. Then A + B is equal to _ _ _ _ _ _ _.Sets, Relations and Functions
Q52If sin ²(10°) sin (20°) sin (40°) sin (50°) sin (70°) = α - 1/16 sin (10°), then 16 + α ⁻¹ is equal to _ _ _ _ _.Trigonometry
Q2445Let the plane 2x + 3y + z + 20 = 0 be rotated through a right angle about its line of intersection with the plane x - 3y + 5z = 8. If the mirror image of the…Three Dimensional Geometry
Q2502If the two lines l₁:(x - 2)/3 = (y + 1)/(-2), z = 2 and l₂:(x - 1)/1 = (2y + 3)/(α) = (z + 5)/2 are perpendicular, then an angle between the lines l₂ and…Three Dimensional Geometry
Q2663The sum of the absolute minimum and the absolute maximum values of the function f(x) = |3x - x² + 2| - x in the interval [ - 1, 2] is:Limit, Continuity and Differentiability
Q2724Let f(x) = 2 cos ⁻¹x + 4 cot ⁻¹x - 3x² - 2x + 10, x [ - 1,1]. If [a, b] is the range of the function f, then 4a - b is equal to:Limit, Continuity and Differentiability
Q2785Let S be the set of all the natural numbers, for which the line x/a + y/b = 2 is a tangent to the curve (x/a)ⁿ + (y/b)ⁿ = 2 at the point (a, b), ab ≠ 0. Then:Limit, Continuity and Differentiability
Q2841The area bounded by the curve y = |x² - 9| and the line y = 3 is:Integral Calculus
Q2893The remainder when (2021)²⁰²³ is divided by 7 is:Binomial Theorem and Its Simple Applications
Q3074Let C be a circle passing through the points A(2, - 1) and B(3, 4). The line segment AB s not a diameter of C. If r is the radius of C and its centre lies on…Coordinate Geometry
Q3214Let A = z C:| (z + 1)/(z - 1) | < 1 and B = z C: arg ((z - 1)/(z + 1)) = (2π)/3. Then A B is:Complex Numbers and Quadratic Equations
Q3826Let f(x) = (x - 1)/(x + 1), x R - 0, - 1,1. If fⁿ⁺¹(x) = f(fⁿ(x)) for all n N, then f⁶(6) + f⁷(7) is equal to:Sets, Relations and Functions
Q4207Let f, g: R → R be two real valued functions defined as f(x) = \ - |x + 3|, x < 0 eˣ, x ≥ 0. and g(x) = \ x² + k₁x, x < 0 4x + k₂, x ≥ 0., where k₁ and k₂ are…Limit, Continuity and Differentiability
Q4291lim x → 1/(2) (sin (cos ⁻¹x) - x)/(1 - tan (cos ⁻¹x)) is equal to:Limit, Continuity and Differentiability
Q4364Let Δ,, be such that p q ⇒ ((p Δ q) r) is a tautology. Then (p q) Δ r is logically equivalent to:Mathematical Reasoning
Q4531Let A be a 3 × 3 invertible matrix. If |adj (24A)| = |adj (3 adj (2A))|, then |A|² is equal to:Matrices and Determinants
Q4605The ordered pair (a, b), for which the system of linear equations 3x - 2y + z = b 5x - 8y + 9z = 3 2x + y + az = - 1 has no solution, is:Matrices and Determinants
Q4713Let the normal at the point on the parabola y² = 6x pass through the point (5, - 8). If the tangent at P to the parabola intersects its directrix at the point…Coordinate Geometry
Q4888Let a biased coin be tossed 5 times. If the probability of getting 4 heads is equal to the probability of getting 5 heads, then the probability of getting…Statistics and Probability
Q5473The mean of the numbers a, b, 8, 5, 10 is 6 and their variance is 6.8. If M is the mean deviation of the numbers about the mean, then 25 M is equal to:Statistics and Probability
Q5521Let R be the point (3, 7) and let P and Q be two points on the line x + y = 5 such that PQR is an equilateral triangle. Then the area of Δ PQR is:Coordinate Geometry
Q5737If a. b = 1, b. c = 2 and c. a = 3, then the value of [ a × (b × c), b × (c × a), c × (b × a) ] is:Vector Algebra