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 29 Jul 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 202229 Jul, Morning shift

Physics 25Chemistry 21Mathematics 29

Physics

Q59If the potential barrier across a p-n junction is 0.6 ~V. Then the electric field intensity, in the depletion region having the width of 6 × 10⁻⁶ ~m, will be…Electronic Devices
Q61The X-Y plane be taken as the boundary between two transparent media M₁ and M₂. M₁ in Z 0 has a refractive index of √(2) and M₂ with Z<0 has a refractive…Optics
Q62If the acceleration due to gravity experienced by a point mass at a height h above the surface of earth is same as that of the acceleration due to gravity at…Gravitation
Q63One mole of a monoatomic gas is mixed with three moles of a diatomic gas. The molecular specific heat of mixture at constant volume is (α²)/4 R J / mol K…Thermodynamics
Q64The pressure P₁ and density d₁ of diatomic gas (γ=7/5) changes suddenly to P₂(>P₁) and d₂ respectively during an adiabatic process. The temperature of the gas…Thermodynamics
Q65A closely wounded circular coil of radius 5 cm produces a magnetic field of 37.68 × 10⁻⁴ ~T at its center. The current through the coil is _ _ _ _ A. [Given…Magnetic Effects of Current and Magnetism
Q66A wire of length 314 ~cm carrying current of 14 ~A is bent to form a circle. The magnetic moment of the coil is _ _ _ _ A -m². [Given π=3.14 ]Magnetic Effects of Current and Magnetism
Q75Two light beams of intensities 4I and 9I interfere on a screen. The phase difference between these beams on the screen at point A is zero and at point B is π…Optics
Q5912An alternating emf E=440 sin 100 π t is applied to a circuit containing an inductance of (√(2))/(π) H. If an a.c. ammeter is connected in the circuit, its…Electromagnetic Induction and Alternating Currents
Q5952A coil of inductance 1 H and resistance 100 Ω is connected to a battery of 6 V. Determine approximately: (a) The time elapsed before the current acquires half…Electromagnetic Induction and Alternating Currents
Q6014Find the ratio of energies of photons produced due to transition of an electron of hydrogen atom from its (i) second permitted energy level to the first…Atoms and Nuclei
Q6201Two bodies of mass 1 ~kg and 3 ~kg have position vectors i+2 j+k and -3 i-2 j+k respectively. The magnitude of position vector of centre of mass of this…Rotational Motion
Q6367Find the modulation index of an AM wave having 8 ~V variation where maximum amplitude of the AM wave is 9 ~V.Communication Systems
Q6519Two metallic wires of identical dimensions are connected in series. If σ₁ and σ₂ are the conductivities of the these wires respectively, the effective…Current Electricity
Q6653The kinetic energy of emitted electron is E when the light incident on the metal has wavelength λ. To double the kinetic energy, the incident light must have…Dual Nature of Matter and Radiation
Q6841Match List - I with List - II: List - I List - II (a) UV rays (i) Diagnostic tool in medicine (b) X-rays (ii) Water purification (c) Microwave (iii)…Electromagnetic Waves
Q7020Given below are two statements. Statement I: Electric potential is constant within and at the surface of each conductor. Statement II: Electric field just…Electrostatics
Q7834If t=√(x)+4, then ((d x)/(~d t)) t=4 is:Kinematics
Q7867A ball is thrown up vertically with a certain velocity so that, it reaches a maximum height h. Find the ratio of the times in which it is at height h/3 while…Kinematics
Q7952If the length of a wire is made double and radius is halved of its respective values. Then, the Young's modulus of the material of the wire will:Properties of Solids and Liquids
Q8021Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Clothes containing oil or grease…Properties of Solids and Liquids
Q8211The time period of oscillation of a simple pendulum of length L suspended from the roof of a vehicle, which moves without friction down an inclined plane of…Oscillations and Waves
Q8263Given below are two statements: One is labelled as Assertion (A) and other is labelled as Reason (R). Assertion (A): Time period of oscillation of a liquid…Units and Measurements
Q8359A travelling microscope has 20 divisions per cm on the main scale while its vernier scale has total 50 divisions and 25 vernier scale divisions are equal to…Experimental Skills
Q8589A ball is projected with kinetic energy E, at an angle of 60^(°) to the horizontal. The kinetic energy of this ball at the highest point of its flight will…Work, Energy and Power

Chemistry

Q1In a linear tetrapeptide (Constituted with different amino acids), (number of amino acids) - (number of peptide bonds) is _ _ _ _.Biomolecules
Q4The reaction between X and Y is first order with respect to X and zero order with respect to Y. Experiment | ([X])/(mol L⁻¹) | ([Y])/(mol L⁻¹) | (Initial…Chemical Kinetics
Q5[Fe(CN)₆]³⁻ should be an inner orbital complex. Ignoring the pairing energy, the value of crystal field stabilization energy for this complex is (-) _ _ _ _ _…Coordination Compounds
Q9Resistance of a conductivity cell (cell constant 129 ~m⁻¹) filled with 74.5 ppm solution of KCl is 100 Ω (labelled as solution 1). When the same cell is…Redox Reactions and Electrochemistry
Q11If the solubility product of PbS is 8 × 10⁻²8, then the solubility of PbS in pure water at 298 K is x × 10⁻¹6 mol L⁻¹. The value of x is _ _ _ _ _. (Nearest…Equilibrium
Q14In bromination of Propyne, with Bromine, 1, 1, 2, 2-tetrabromopropane is obtained in 27% yield. The amount of 1, 1, 2, 2-tetrabromopropane obtained from 1 g…Principles Related to Practical Chemistry
Q16Ionic radii of cation A⁺ and anion B⁻ are 102 and 181 pm respectively. These ions are allowed to crystallize into an ionic solid. This crystal has cubic close…Solid State
Q17If O₂ gas is bubbled through water at 303 ~K, the number of millimoles of O₂ gas that dissolve in 1 litre of water is _ _ _ _ _. (Nearest Integer) (Given…Solutions
Q19The minimum uncertainty in the speed of an electron in an one dimensional region of length 2 a o (Where a o = Bohr radius 52.9 pm) is _ _ _ _ k m s⁻¹. (Given…Atomic Structure
Q21When 600 mL of 0.2 M HNO₃ is mixed with 400 ~mL of 0.1 M NaOH solution in a flask, the rise in temperature of the flask is _ _ _ _ _ _ × 10⁻² ^(°) C…Chemical Thermodynamics
Q313Which of the following pair of molecules contain odd electron molecule and an expanded octet molecule?Chemical Bonding and Molecular Structure
Q314Number of lone pairs of electrons in the central atom of SCl₂, O₃, ClF₃ and SF₆, respectively, are:Chemical Bonding and Molecular Structure
Q779In neutral or faintly alkaline medium, KMnO₄ being a powerful oxidant can oxidize, thiosulphate almost quantitatively, to sulphate. In this reaction overall…d- and f-Block Elements
Q888The reaction of zinc with excess of aqueous alkali, evolves hydrogen gas and gives:d- and f-Block Elements
Q889In following pairs, the one in which both transition metal ions are colourless is:d- and f-Block Elements
Q1077Which among the following pairs has only herbicides?Environmental Chemistry
Q1427In metallurgy the term "gangue" is used for:Isolation of Elements
Q1615The first ionization enthalpy of Na, Mg and Si, respectively, are: 496, 737 and 786 ~kJ ~mol⁻¹. The first ionization enthalpy (kJ mol⁻¹) of Al is:Classification of Elements and Periodicity in Properties
Q1833Lithium nitrate and sodium nitrate, when heated separately, respectively, give:S Block Elements
Q2102N 2(~g) +3 H 2(~g) 2 NH 3(~g) 20 ~g ~~~5 ~g Consider the above reaction, the limiting reagent of the reaction and number of moles of NH₃ formed respectively…Some Basic Concepts in Chemistry
Q2276100 ~mL of 5% (w / v) solution of NaCl in water was prepared in 250 ~mL beaker. Albumin from the egg was poured into NaCl solution and stirred well. This…Surface Chemistry

Mathematics

Q23Let a line with direction ratios a,-4 a,-7 be perpendicular to the lines with direction ratios 3,-1,2 b and b, a,-2. If the point of intersection of the line…Three Dimensional Geometry
Q26Let the ratio of the fifth term from the beginning to the fifth term from the end in the binomial expansion of (4√(2)+1/(4√(3)))ⁿ, in the increasing powers of…Binomial Theorem and Its Simple Applications
Q27Let the mirror image of a circle c₁: x²+y²-2 x-6 y+α=0 in line y=x+1 be c₂: 5 x²+5 y²+10 g x+10 f y+38=0. If r is the radius of circle c₂, then α+6 r² is…Coordinate Geometry
Q37Let p and p + 2 be prime numbers and let Δ=| ccc p ! (p+1) ! (p+2) ! (p+1) ! (p+2) ! (p+3) ! (p+2) ! (p+3) ! (p+4) ! | Then the sum of the maximum values of α…Matrices and Determinants
Q40The number of matrices of order 3 × 3, whose entries are either 0 or 1 and the sum of all the entries is a prime number, is _ _ _ _ _.Permutations and Combinations
Q43Let a₁, a₂, a₃, be an A.P. If Σ r=1 ^(∞) (a r)/(2^(r))=4, then 4 a₂ is equal to _ _ _ _ _.Sequence and Series
Q44If 1/(2 × 3 × 4)+1/(3 × 4 × 5)+1/(4 × 5 × 6)+ +1/(100 × 101 × 102)=k/101, then 34 k is equal to _ _ _ _ _.Sequence and Series
Q46Let S=\4,6,9 and T=\9,10,11,, 1000. If A= ₁+a₂+ +a k: k N, a₁, a₂, a₃,, a k. ε S, then the sum of all the elements in the set T-A is equal to _ _ _ _ _.Sets, Relations and Functions
Q47Let the mean and the variance of 20 observations x₁, x₂,, x₂₀ be 15 and 9, respectively. For α R, if the mean of (x₁+α)²,(x₂+α)²,,(x₂₀+α)² is 178, then the…Statistics and Probability
Q2452If the foot of the perpendicular from the point A(-1,4,3) on the plane P: 2 x+m y+n z=4, is (-2, 7/2, 3/2), then the distance of the point A from the plane P…Three Dimensional Geometry
Q2672Let f(x)=3^(x²-2)³+4, x R. Then which of the following statements are true? P: x=0 is a point of local minima of f Q: x=√(2) is a point of inflection of f R…Limit, Continuity and Differentiability
Q2851The area of the region \(x, y):|x-1| ≤ y ≤ √(5-x²) is equal to:Integral Calculus
Q3226If z=2+3 i, then z⁵+(z)⁵ is equal to:Complex Numbers and Quadratic Equations
Q3445The integral ∫₀^((π)/2) 1/(3+2 sin x+ cos x) ~d x is equal to:Integral Calculus
Q3446If f(α)=∫₁^(α) (log ₁₀ t)/(1+t) dt, α>0, then f(e³)+f(e⁻³) is equal to:Integral Calculus
Q3551Let the solution curve y=y(x) of the differential equation (1+e²ˣ)((d y)/(~d x)+y)=1 pass through the point (0, (π)/2). Then, lim x → ∞ eˣ y(x) is equal to:Differential Equations
Q3764Let a line L pass through the point of intersection of the lines b x+10 y-8=0 and 2 x-3 y=0, ~b R-\4/3. If the line L also passes through the point (1,1) and…Coordinate Geometry
Q3934The angle of elevation of the top of a tower from a point A due north of it is α and from a point B at a distance of 9 units due west of A is cos…Height and Distance
Q4210The number of points, where the function f: R → R, f(x)=|x-1| cos |x-2| sin |x-1|+(x-3)|x²-5 x+4|, is NOT differentiable, is:Limit, Continuity and Differentiability
Q4295If lim x → 0 (α eˣ+β e⁻ˣ+γ sin x)/(x sin ² x)=2/3, where α, β, γ R, then which of the following is NOT correct?Limit, Continuity and Differentiability
Q4376The statement (p q) ⇒(p r) is equivalent to:Mathematical Reasoning
Q4614Let A and B be two 3 × 3 non-zero real matrices such that AB is a zero matrix. ThenMatrices and Determinants
Q4673Let the focal chord of the parabola P: y²=4 x along the line L: y=m x+c, m>0 meet the parabola at the points M and N. Let the line L be a tangent to the…Coordinate Geometry
Q5023Let S=\1,2,3,, 2022. Then the probability, that a randomly chosen number n from the set S such that HCF (n, 2022)=1, is:Statistics and Probability
Q5159If 1/((20-a)(40-a))+1/((40-a)(60-a))+ +1/((180-a)(200-a))=1/256, then the maximum value of a is:Complex Numbers and Quadratic Equations
Q5362Let R be a relation from the set \1,2,3,, 60 to itself such that R=\(a, b): b=p q, where p, q 3 are prime numbers. Then, the number of elements in R is:Sets, Relations and Functions
Q5541Let the circumcentre of a triangle with vertices A(a, 3), B(b, 5) and C(a, b), ab > 0 be P(1,1). If the line AP intersects the line BC at the point Q (k₁…Coordinate Geometry
Q5740Let a=3 i+j and b=i+2 j+k. Let c be a vector satisfying a ×(b × c)=b+λ c. If b and c are non-parallel, then the value of λ is:Vector Algebra
Q5829Let a and b be two unit vectors such that the angle between them is (π)/4. If θ is the angle between the vectors (a+b) and (a+2 b+2(a × b)), then the value of…Vector Algebra