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

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JEE Main 202225 Jul, Morning shift

Physics 22Chemistry 20Mathematics 29

Physics

Q53The required height of a TV tower which can cover the population of 6.03 lakh is h. If the average population density is 100 per square km and the radius of…Communication Systems
Q54Eight copper wire of length l and diameter d are joined in parallel to form a single composite conductor of resistance R. If a single copper wire of length 2…Current Electricity
Q58The energy band gap of semiconducting material to produce violet (wavelength = 4000 A^(o)) LED is _ _ _ _ _ _ _ eV. (Round off to the nearest integer).Electronic Devices
Q59The volume charge density of a sphere of radius 6 ~m is 2 μ C cm⁻³. The number of lines of force per unit surface area coming out from the surface of the…Electrostatics
Q64A unit scale is to be prepared whose length does not change with temperature and remains 20 ~cm, using a bimetallic strip made of brass and iron each of…Thermodynamics
Q66A car is moving with speed of 150 ~km / h and after applying the break it will move 27 ~m before it stops. If the same car is moving with a speed of one third…Kinematics
Q67A wire of length L and radius r is clamped rigidly at one end. When the other end of the wire is pulled by a force F, its length increases by 5 ~cm. Another…Properties of Solids and Liquids
Q70An observer is riding on a bicycle and moving towards a hill at 18 kmh⁻¹. He hears a sound from a source at some distance behind him directly as well as after…Oscillations and Waves
Q5906To increase the resonant frequency in series LCR circuit,Electromagnetic Induction and Alternating Currents
Q6011The momentum of an electron revolving in n^(th) orbit is given by: (Symbols have their usual meanings)Atoms and Nuclei
Q6012The magnetic moment of an electron (e) revolving in an orbit around nucleus with an orbital angular momentum is given by:Atoms and Nuclei
Q6401Which of the following physical quantities have the same dimensions?Current Electricity
Q6650A metal exposed to light of wavelength 800 ~nm and and emits photoelectrons with a certain kinetic energy. The maximum kinetic energy of photo-electron…Dual Nature of Matter and Radiation
Q6794The rms value of conduction current in a parallel plate capacitor is 6.9 μ A. The capacity of this capacitor, if it is connected to 230 ~V ac supply with an…Electromagnetic Waves
Q7114Which of the following statement is correct?Optics
Q7115Time taken by light to travel in two different materials A and B of refractive indices μ A and μ B of same thickness is t₁ and t₂ respectively. If t₂-t₁=5 ×…Optics
Q7275Three identical particles A, B and C of mass 100 ~kg each are placed in a straight line with AB=BC=13 ~m. The gravitational force on a fourth particle P of…Gravitation
Q7491A certain amount of gas of volume V at 27^(°) C temperature and pressure 2 × 10⁷ Nm⁻² expands isothermally until its volume gets doubled. Later it expands…Thermodynamics
Q7711Two charged particles, having same kinetic energy, are allowed to pass through a uniform magnetic field perpendicular to the direction of motion. If the ratio…Magnetic Effects of Current and Magnetism
Q8076A solid cylinder and a solid sphere, having same mass M and radius R, roll down the same inclined plane from top without slipping. They start from rest. The…Rotational Motion
Q8259If momentum [P], area [A] and time [T] are taken as fundamental quantities, then the dimensional formula for coefficient of viscosity is:Units and Measurements
Q8587A body of mass 0.5 ~kg travels on straight line path with velocity v=(3 x²+4) m / s. The net workdone by the force during its displacement from x=0 to x=2 ~m…Work, Energy and Power

Chemistry

Q3Among the following species N₂, ~N₂⁺, N₂⁻, N₂²⁻, O₂, O₂⁺, O₂⁻, O₂²⁻ the number of species showing diamagnesim is _ _ _ _ _ _ _ _.Chemical Bonding and Molecular Structure
Q4The half life for the decomposition of gaseous compound A is 240 ~s when the gaseous pressure was 500 Torr initially. When the pressure was 250 Torr, the half…Chemical Kinetics
Q5The number of sp³ hybridised carbons in an acyclic neutral compound with molecular formula C₄H₅N is _ _ _ _ _ _.Organic Compounds Containing Nitrogen
Q6Consider the following metal complexes: [Co(NH₃)₆]³⁺ [CoCl(NH₃)₅]²⁺ [Co(CN)₆]³⁻ [Co(NH₃)₅(H₂ O)]³⁺ The spin-only magnetic moment value of the complex that…Coordination Compounds
Q7Among Co³⁺, Ti²⁺, V²⁺ and Cr²⁺ ions, one if used as a reagent cannot liberate H₂ from dilute mineral acid solution, its spin-only magnetic moment in gaseous…d- and f-Block Elements
Q8The cell potential for Zn|Zn²⁺(aq)||Snˣ⁺| Sn is 0.801 ~V at 298 ~K. The reaction quotient for the above reaction is 10⁻². The number of electrons involved in…Redox Reactions and Electrochemistry
Q10The pressure of a moist gas at 27^(°) C is 4 ~atm. The volume of the container is doubled at the same temperature. The new pressure of the moist gas is _ _ _…Gaseous State
Q11Given below are two statements: Statement I: On heating with KHSO₄, glycerol is dehydrated and acrolein is formed. Statement II: Acrolein has fruity odour and…Organic Compounds Containing Oxygen
Q15While estimating the nitrogen present in an organic compound by Kjeldahl's method, the ammonia evolved from 0.25 ~g of the compound neutralized 2.5 ~mL of 2 M…Principles Related to Practical Chemistry
Q20The enthalpy of combustion of propane, graphite and dihydrogen at 298 ~K are -2220.0 ~kJ ~mol⁻¹,-393.5 ~kJ ~mol⁻¹ and -285.8 ~kJ ~mol⁻¹ respectively. The…Chemical Thermodynamics
Q212During the denaturation of proteins, which of these structures will remain intact?Biomolecules
Q1040The photochemical smog does not generally contain:Environmental Chemistry
Q1228The reaction of H₂ O₂ with potassium permanganate in acidic medium leads to the formation of mainly:Hydrogen
Q132220 ~mL of 0.1 M NH₄ OH is mixed with 40 ~mL of 0.05 M HCl. The pH of the mixture is nearest to: (Given: K b (NH₄ OH)=1 × 10⁻⁵, log 2=0.30, log 3=0.48, log…Equilibrium
Q1399The compound(s) that is (are) removed as slag during the extraction of copper is: (A) CaO (B) FeO (C) Al₂O₃ (D) ZnO (E) NiO Choose the correct answer from the…Isolation of Elements
Q1657The IUPAC nomenclature of an element with electronic configuration [Rn] 5 f¹⁴ 6 d¹ 7 s² is:Classification of Elements and Periodicity in Properties
Q1860Choose the correct order of density of the alkali metals:S Block Elements
Q1969The depression in freezing point observed for a formic acid solution of concentration 0.5 ~mL ~L⁻¹ is 0.0405^(°) C. Density of formic acid is 1.05 ~g ~mL⁻¹…Solutions
Q2042SO₂ Cl₂ on reaction with excess of water results into acidic mixture SO₂ Cl₂+2 H₂ O → H₂ SO₄+2 HCl 16 moles of NaOH is required for the complete…Some Basic Concepts in Chemistry
Q2206Which of the following sets of quantum numbers is not allowed?Atomic Structure

Mathematics

Q22The line of shortest distance between the lines (x-2)/0=(y-1)/1=z/1 and (x-3)/2=(y-5)/2=(z-1)/1 makes an angle of cos ⁻¹(√(2/27)) with the plane P: a x-y-z=0…Three Dimensional Geometry
Q27If the maximum value of the term independent of t in the expansion of (t² x^(1/5)+((1-x)^(1/10))/t)¹⁵, x 0, is K, then 8 ~K is equal to _ _ _ _ _ _.Binomial Theorem and Its Simple Applications
Q29If lim n → ∞ ((n+1)^(k-1))/(n^(k+1))[(n k+1)+(n k+2)+ +(n k+n)] =33 · lim n → ∞ 1/(n^(k+1)) ·[1^(k)+2^(k)+3^(k)+ +n^(k)], then the integral value of k is…Integral Calculus
Q35Let the equation of two diameters of a circle x²+y²-2 x+2 f y+1=0 be 2 p x-y=1 and 2 x+p y=4 p. Then the slope m (0, ∞) of the tangent to the hyperbola 3…Coordinate Geometry
Q36Let f(x)=\ l|4 x²-8 x+5|, if 8 x²-6 x+1 0 [4 x²-8 x+5], if 8 x²-6 x+1<0,. where [α] denotes the greatest integer less than or equal to α. Then the number of…Limit, Continuity and Differentiability
Q39Let A=(rrr2 -1 -1 1 0 -1 1 -1 0) and B=A-I. If ω=(√(3) i-1)/2, then the number of elements in the set \1,2,, 100 Aⁿ+(ω B)ⁿ=A+B is equal to _ _ _ _ _ _.Matrices and Determinants
Q41The sum of diameters of the circles that touch (i) the parabola 75 x²=64(5 y-3) at the point (8/5, 6/5) and (ii) the y -axis, is equal to _ _ _ _ _ _ _.Coordinate Geometry
Q42The letters of the word 'MANKIND' are written in all possible orders and arranged in serial order as in an English dictionary. Then the serial number of the…Permutations and Combinations
Q46Let a, b be two non-zero real numbers. If p and r are the roots of the equation x²-8 a x+2 a=0 and q and s are the roots of the equation x²+12 ~b x+6 ~b=0…Sequence and Series
Q47Let a₁=b₁=1, a n =a n-1 +2 and b n =a n +b n-1 for every natural number n 2. Then Σ n = 1 ¹⁵ a n.b n is equal to _ _ _ _ _ _.Sequence and Series
Q2449Let P be the plane containing the straight line (x-3)/9=(y+4)/(-1)=(z-7)/(-5) and perpendicular to the plane containing the straight lines x/2=y/3=z/5 and…Three Dimensional Geometry
Q2668If the absolute maximum value of the function f(x)=(x²-2 x+7) e^(4 x³-12 x²-180 x+31) in the interval [-3,0] is f(α), then:Limit, Continuity and Differentiability
Q2669The curve y(x)=a x³+b x²+c x+5 touches the x -axis at the point P(-2,0) and cuts the y -axis at the point Q, where y^() is equal to 3. Then the local maximum…Limit, Continuity and Differentiability
Q2844The area of the region given by A=\(x, y): x² ≤ y ≤ min +2,4-3 x is:Integral Calculus
Q2845Let the locus of the centre (α, β), β>0, of the circle which touches the circle x²+(y-1)²=1 externally and also touches the x -axis be L. Then the area…Integral Calculus
Q3262For n N, let S n = C:|z-3+2 i|=n/4 and T n = C:|z-2+3 i|=1/n. Then the number of elements in the set N: S n T n =φ is:Complex Numbers and Quadratic Equations
Q3436For any real number x, let [x] denote the largest integer less than equal to x. Let f be a real valued function defined on the interval [-10,10] by f(x)=\…Integral Calculus
Q3546The slope of the tangent to a curve C: y=y(x) at any point (x, y) on it is (2 e²ˣ-6 e⁻ˣ+9)/(2+9 e⁻²ˣ). If C passes through the points (0, 1/2+(π)/(2 √(2)))…Differential Equations
Q3627The general solution of the differential equation (x-y²) d x+y(5 x+y²) d y=0 is:Differential Equations
Q3806The total number of functions, f:\1,2,3,4 →\1,2,3,4,5,6\ such that f(1)+f(2)=f(3), is equal to:Sets, Relations and Functions
Q3930A tower PQ stands on a horizontal ground with base Q on the ground. The point R divides the tower in two parts such that Q R=15 ~m. If from a point A on the…Height and Distance
Q4241If lim n → ∞ (√(n² - n - 1) + nα + β) = 0, then 8(α+β) is equal to:Limit, Continuity and Differentiability
Q4370Which of the following statements is a tautology ?Mathematical Reasoning
Q4611The number of θ (0,4 π) for which the system of linear equations 3(sin 3 θ) x-y+z=2 3(cos 2 θ) x+4 y+3 z=3 6 x+7 y+7 z=9 has no solution, is:Matrices and Determinants
Q4891If the sum and the product of mean and variance of a binomial distribution are 24 and 128 respectively, then the probability of one or two successes is:Statistics and Probability
Q4920If the numbers appeared on the two throws of a fair six faced die are α and β, then the probability that x²+α x+β>0, for all x R, is:Statistics and Probability
Q5049If α, β, γ, δ are the roots of the equation x⁴+x³+x²+x+1=0, then α²⁰²¹+β²⁰²¹+γ²⁰²¹+δ²⁰²¹ is equal to:Complex Numbers and Quadratic Equations
Q5618A line, with the slope greater than one, passes through the point A(4,3) and intersects the line x-y-2=0 at the point B. If the length of the line segment A B…Coordinate Geometry
Q5824Let ABC be a triangle such that BC=a, CA=b, AB=c,|a|=6 √(2),|b|=2 √(3) and b · c=12. Consider the statements: (S 1):|(a × b)+(c × b)|-|c|=6(2 √(2)-1) (S 2)…Vector Algebra