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

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JEE Main 202225 Jul, Evening shift

Physics 26Chemistry 23Mathematics 30

Physics

Q56x/(x + 4) is the ratio of energies of photons produced due to transition of an electron of hydrogen atom from its (i) third permitted energy level to the…Atoms and Nuclei
Q58Two parallel plate capacitors of capacity C and 3C are connected in parallel combination and charged to a potential difference 18 V. The battery is then…Electrostatics
Q59Three identical spheres each of mass M are placed at the corners of a right angled triangle with mutually perpendicular sides equal to 3 m each. Taking point…Rotational Motion
Q62In a potentiometer arrangement, a cell of emf 1.20 V gives a balance point at 36 cm length of wire. This cell is now replaced by another cell of emf 1.80 V…Current Electricity
Q65Magnetic flux (in weber) in a closed circuit of resistance 20 Ω varies with time t(s) at φ = 8t² - 9t + 5. The magnitude of the induced current at t = 0.25 s…Electromagnetic Induction and Alternating Currents
Q68A convex lens of focal length 20 cm is placed in front of a convex mirror with principal axis coinciding each other. The distance between the lens and mirror…Optics
Q72A block of ice of mass 120 g at temperature 0° C is put in 300 g of water at 25° C. The x g of ice melts as the temperature of the water reaches 0° C. The…Thermodynamics
Q75A particle is moving in a straight line such that its velocity is increasing at 5 ms⁻¹ per meter. The acceleration of the particle is _ _ _ _ _ _ m s⁻² at a…Kinematics
Q78Two waves executing simple harmonic motions travelling in the same direction with same amplitude and frequency are superimposed. The resultant amplitude is…Oscillations and Waves
Q5907When you walk through a metal detector carrying a metal object in your pocket, it raises an alarm. This phenomenon works on:Electromagnetic Induction and Alternating Currents
Q6013Hydrogen atom from excited state comes to the ground state by emitting a photon of wavelength λ. The value of principal quantum number ' n ' of the excited…Atoms and Nuclei
Q6142Capacitance of an isolated conducting sphere of radius R₁ becomes n times when it is enclosed by a concentric conducting sphere of radius R₂ connected to…Electrostatics
Q6228Two billiard balls of mass 0.05 kg each moving in opposite directions with 10 ms⁻¹ collide and rebound with the same speed. If the time duration of contact is…Rotational Motion
Q6362In AM modulation, a signal is modulated on a carrier wave such that maximum and minimum amplitudes are found to be 6 V and 2 V respectively. The modulation…Communication Systems
Q6574The ratio of wavelengths of proton and deuteron accelerated by potential V p and V d is 1: 2. Then the ratio of V p to V d will be:Dual Nature of Matter and Radiation
Q6708The electric current in a circular coil of 2 turns produces a magnetic induction B₁ at its centre. The coil is unwound and in rewound into a circular coil of…Electromagnetic Induction and Alternating Currents
Q6795Light wave travelling in air along x-direction is given by E y = 540 sin π × 10⁴(x - ct) V m⁻¹. Then, the peak value of magnetic field of wave will be (Given…Electromagnetic Waves
Q7049For an object placed at a distance 2.4 m from a lens, a sharp focused image is observed on a screen placed at a distance 12 cm from the lens. A glass plate of…Optics
Q7150The length of a seconds pendulum at a height h = 2R from earth surface will be: (Given R = Radius of earth and acceleration due to gravity at the surface of…Gravitation
Q7151An object is taken to a height above the surface of earth at a distance 5/4 R from the centre of the earth. Where radius of earth, R = 6400 km. The percentage…Gravitation
Q7403Sound travels in a mixture of two moles of helium and n moles of hydrogen. If rms speed of gas molecules in the mixture is 2 times the speed of sound, then…Kinetic Theory of Gases
Q7626An electron with energy 0.1 keV moves at right angle to the earth's magnetic field of 1 × 10⁻⁴ Wbm⁻². The frequency of revolution of the electron will be…Magnetic Effects of Current and Magnetism
Q7794A ball is projected from the ground with a speed 15 ms⁻¹ at an angle θ with horizontal so that its range and maximum height are equal, then 'tan θ ' will be…Kinematics
Q7993A drop of liquid of density ρ is floating half immersed in a liquid of density σ and surface tension 7.5 × 10⁻⁴ Ncm⁻¹. The radius of drop in cm will be: (g =…Properties of Solids and Liquids
Q8310The maximum error in the measurement of resistance, current and time for which current flows in an electrical circuit are 1%, 2% and 3% respectively. The…Units and Measurements
Q8588A bag of sand of mass 9.8 kg is suspended by a rope. A bullet of 200 g travelling with speed 10 ms⁻¹ gets embedded in it, then loss of kinetic energy will be:Work, Energy and Power

Chemistry

Q1The total number of monobromo derivatives formed by the alkanes with molecular formula C₅H₁₂ is (excluding stereo isomers) _ _ _ _ _.Some Basic Principles of Organic Chemistry
Q2The separation of two coloured substances was done by paper chromatography. The distances travelled by solvent front, substance A and substance B from the…Some Basic Principles of Organic Chemistry
Q5The sum of number of lone pairs of electrons present on the central atoms of XeO₃, XeOF₄ and XeF₆, is _ _ _ _ _ _ _Chemical Bonding and Molecular Structure
Q8The spin-only magnetic moment value of M³⁺ ion (in gaseous state) from the pairs Cr³⁺ / Cr²⁺, Mn³⁺ / Mn²⁺, Fe³⁺ / Fe²⁺ and Co³⁺ / Co²⁺ that has negative…Redox Reactions and Electrochemistry
Q9A sealed flask with a capacity of 2 dm³ contains 11 g of propane gas. The flask is so weak that it will burst if the pressure becomes 2 MPa. The minimum…Gaseous State
Q1956.0 L of nitrogen gas is mixed with excess hydrogen gas and it is found that 20 L of ammonia gas is produced. The volume of unused nitrogen gas is found to…Some Basic Concepts in Chemistry
Q20A sample of 4.5 mg of an unknown monohydric alcohol, R-OH was added to methylmagnesium iodide. A gas is evolved and is collected and its volume measured to be…Some Basic Concepts in Chemistry
Q21When the excited electron of a H atom from n = 5 drops to the ground state, the maximum number of emission lines observed are _ _ _ _ _ _ _.Atomic Structure
Q23While performing a thermodynamics experiment, a student made the following observations. HCl + NaOH → NaCl + H₂O Δ H = - 57.3 kJ mol⁻¹ CH₃COOH + NaOH →…Chemical Thermodynamics
Q178Glycosidic linkage between C₁ of α -glucose and C₂ of β -fructose is found inBiomolecules
Q311Match List I with List II: List I (molecule) List II (hybridization; shape) (A) XeO ₃ (I) sp ³ d; linear (B) XeF ₂ (II) sp ³; pyramidal (C) XeOF ₄ (III) sp ³…Chemical Bonding and Molecular Structure
Q633The correct order of energy of absorption for the following metal complexes is: A: [Ni(en)₃]²⁺, B: [Ni(NH₃)₆]²⁺, C: [Ni(H₂O)₆]²⁺Coordination Compounds
Q947The molar conductivity of a conductivity cell filled with 10 moles of 20 mL NaCl solution is Λ m1 and that of 20 moles another identical cell heaving 80 mL…Redox Reactions and Electrochemistry
Q1257High purity (> 99.95%) dihydrogen is obtained by:Hydrogen
Q1287K a₁, K a₂ and K a₃ are the respective ionization constants for the following reactions (a), (b) and (c). (a) H₂C₂O₄.3ex → _ to.5ex H⁺ + H C₂ O₄^ - (b) H C₂…Equilibrium
Q1400Given below are two statements. Statement I: Pig iron is obtained by heating cast iron with scrap iron. Statement II: Pig iron has a relatively lower carbon…Isolation of Elements
Q1513Match List I with List II: List I List II (A) Sulphate (I) Pesticide (B) Fluoride (II) Bending of bones (C) Nicotine (III) Laxative effect (D) Sodium arsinite…p-Block Elements
Q1613The first ionization enthalpies of Be, B, N and O follow the orderClassification of Elements and Periodicity in Properties
Q1720Match List I with List II: List I List II (A) Nylon 6, 6 (I) Buckets (B) Low density polythene (II) Non-stick utensils (C) High density polythene (III)…Polymers
Q1739In base vs. acid titration, at the end point methyl orange is present asPrinciples Related to Practical Chemistry
Q1891The correct order of density is:S Block Elements
Q1970Two solutions A and B are prepared by dissolving 1 g of non-volatile solutes X and Y, respectively in 1 kg of water. The ratio of depression in freezing…Solutions
Q2273For micelle formation, which of the following statements are correct? A. Micelle formation is an exothermic process. B. Micelle formation is an endothermic…Surface Chemistry

Mathematics

Q26The sum of the maximum and minimum values of the function f(x)=|5 x-7|+[x²+2 x] in the interval [5/4, 2], where [t] is the greatest integer ≤ t, is _ _ _ _ _…Limit, Continuity and Differentiability
Q27Let the area enclosed by the x-axis, and the tangent and normal drawn to the curve 4x³ - 3x y² + 6x² - 5xy - 8y² + 9x + 14 = 0 at the point (- 2, 3) be A…Integral Calculus
Q29If the circles x² + y² + 6x + 8y + 16 = 0 and x² + y² + 2(3 - 3)x + 2(4 - 6)y = k + 6 3 + 8 6, k > 0, touch internally at the point P(α,β), then (α + 3)² + (β…Coordinate Geometry
Q32Let f be a twice differentiable function on R. If f^()(0)=4 and f(x) + ∫₀ˣ (x - t)f'(t)dt = (e²ˣ + e⁻²ˣ) cos 2x + 2/ax, then (2 a+1)⁵ a² is equal to _ _ _ _ _…Integral Calculus
Q34Let a n = ∫₋₁ⁿ (1 + x/2 + (x²)/3 +..... + (xⁿ⁻¹)/n)dx for every n N. Then the sum of all the elements of the set n N: a n (2, 30) is _ _ _ _ _ _.Integral Calculus
Q36Let y=y(x) be the solution of the differential equation (d y)/(d x)=(4 y³+2 y x²)/(3 x y²+x³), y(1)=1. If for some n N, y(2) [n-1, n), then n is equal to _ _…Differential Equations
Q39Let f(x) be a quadratic polynomial with leading coefficient 1 such that f(0)=p, p ≠ 0, and f(1)=1/3. If the equations f(x)=0 and f° f° f° f(x)=0 have a common…Sets, Relations and Functions
Q41Let x = sin (2 tan ⁻¹α) and y = sin (1/2 tan ⁻¹4/3). If S = a R:y² = 1 - x, then Σ α S 16α ³ is equal to _ _ _ _ _ _ _ _.Trigonometry
Q44Let A=[ lll 1 a a 0 1 b 0 0 1 ], a, b R. If for some n N, Aⁿ=[ ccc 1 48 2160 0 1 96 0 0 1 ] then n+a+b is equal to _ _ _ _ _ _.Matrices and Determinants
Q49Let A=\1,2,3,4,5,6,7. Define B= A: either 1 T or 2 T and C= A: T the sum of all the elements of T is a prime number. Then the number of elements in the set B…Sets, Relations and Functions
Q2505The shortest distance between the lines (x+7)/(-6)=(y-6)/7=z and (7-x)/2=y-2=z-6 is:Three Dimensional Geometry
Q2595A plane E is perpendicular to the two planes 2 x-2 y+z=0 and x-y+2 z=4, and passes through the point P(1,-1,1). If the distance of the plane E from the point…Three Dimensional Geometry
Q2896The remainder when (11)¹⁰¹¹+(1011)¹¹ is divided by 9 isBinomial Theorem and Its Simple Applications
Q3263For z C if the minimum value of (|z-3 √(2)|+|z-p √(2) i|) is 5 √(2), then a value Question: of p is _ _ _ _ _ _ _.Complex Numbers and Quadratic Equations
Q3293lim n → ∞ 1/(2ⁿ)(1/(√(1 - 1/(2ⁿ))) + 1/(√(1 - 2/(2ⁿ))) + 1/(√(1 - 3/(2ⁿ))) +... + 1/(√(1 - (2ⁿ - 1)/(2ⁿ)))) is equal toIntegral Calculus
Q3437Let [t] denote the greatest integer less than or equal to t. Then the value of the integral ∫₋₃¹⁰¹([ sin (π x)]+e^([ cos (2 π x)])) d x is equal toIntegral Calculus
Q3500Let a smooth curve y=f(x) be such that the slope of the tangent at any point (x, y) on it is directly proportional to ((-y)/x). If the curve passes through…Differential Equations
Q3763If the ellipse (x²)/(a²)+(y²)/(b²)=1 meets the line x/7+y/(2 √(6))=1 on the x -axis and the line x/7-y/(2 √(6))=1 on the y -axis, then the eccentricity of the…Coordinate Geometry
Q3807The number of bijective functions f:\1,3,5,7,, 99 →\2,4,6,8,.100, such that f(3) ≥ f(9) ≥ f(15) ≥ f(21) ≥.. f(99), is _ _ _ _ _ _.Sets, Relations and Functions
Q3974Let the foci of the ellipse (x²)/16+(y²)/7=1 and the hyperbola (x²)/144-(y²)/(α)=1/25 coincide. Then the length of the latus rectum of the hyperbola is:Coordinate Geometry
Q4294lim x → (π)/4 (8 √(2)-(cos x+ sin x)⁷)/(√(2)-√(2) sin 2 x) is equal toLimit, Continuity and Differentiability
Q4420Consider the following statements: P: Ramu is intelligent. Q: Ramu is rich. R: Ramu is not honest. The negation of the statement "Ramu is intelligent and…Mathematical Reasoning
Q4612The number of real values of λ, such that the system of linear equations 2x - 3y + 5z = 9 x + 3y - z = - 18 3x - y + (λ ² - | λ |)z = 16 has no solutions, isMatrices and Determinants
Q4750The tangents at the points A(1,3) and B(1,-1) on the parabola y²-2 x-2 y=1 meet at the point P. Then the area (in unit ²) of the triangle P A B is:Coordinate Geometry
Q4963If A and B are two events such that P(A)=1/3, P(B)=1/5 and P(A B)=1/2, then P(A B^())+P(B A^()) is equal to:Statistics and Probability
Q5336The sum Σ n = 1 ²¹ 3/((4n - 1)(4n + 3)) is equal toSequence and Series
Q5475If the mean deviation about median for the numbers 3, 5, 7, 2k, 12, 16, 21, 24, arranged in the ascending order, is 6 then the median is:Statistics and Probability
Q5554Let the point P(α, β) be at a unit distance from each of the two lines L₁: 3 x-4 y+12=0, and L₂: 8 x+6 y+11=0. If P lies below L₁ and above L₂, then 100(α+β)…Coordinate Geometry
Q56672 sin ((π)/22) sin ((3 π)/22) sin ((5 π)/22) sin ((7 π)/22) sin ((9 π)/22) is equal to:Trigonometry
Q5825Let a=i-j+2 k and let b be a vector such that a × b=2 i-k and a · b=3. Then the projection of b on the vector a-b is:Vector Algebra