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

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JEE Main 202225 Jun, Evening shift

Physics 25Chemistry 22Mathematics 30

Physics

Q57A curved in a level road has a radius 75 m. The maximum speed of a car turning this curved road can be 30 m/s without skidding. If radius of curved road is…Kinematics
Q61The length of a given cylindrical wire is increased to double of its original length. The percentage increase in the resistance of the wire will be _ _ _ _ _…Current Electricity
Q6427 identical drops are charged at 22V each. They combine to form a bigger drop. The potential of the bigger drop will be _ _ _ _ _ _ V.Electrostatics
Q65Two satellites S₁ and S₂ are revolving in circular orbits around a planet with radius R₁ = 3200 km and R₂ = 800 km respectively. The ratio of speed of…Gravitation
Q67When a gas filled in a closed vessel is heated by raising the temperature by 1° C, its pressure increases by 0.4%. The initial temperature of the gas is _ _ _…Thermodynamics
Q74Moment of Inertia (M.I.) of four bodies having same mass 'M' and radius '2R' are as follows: I₁ = M.I. of solid sphere about its diameter I₂ = M.I. of solid…Rotational Motion
Q75For z = a²x³y^(1/2), where 'a' is a constant. If percentage error in measurement of 'x' and 'y' are 4% and 12% respectively, then the percentage error for 'z'…Units and Measurements
Q5901A sinusoidal voltage V(t) = 210 sin 3000 t volt is applied to a series LCR circuit in which L = 10 mH, C = 25 μ F and R = 100 Ω. The phase difference (Φ)…Electromagnetic Induction and Alternating Currents
Q6158Two metallic plates form a parallel plate capacitor. The distance between the plates is 'd'. A metal sheet of thickness d/2 and of area equal to area of each…Electrostatics
Q6275A disc with a flat small bottom beaker placed on it at a distance R from its center is revolving about an axis passing through the center and perpendicular to…Kinematics
Q6276For a particle in uniform circular motion, the acceleration a at any point P(R, θ) on the circular path of radius R is (when θ is measured from the positive…Kinematics
Q6359Match List I with List II List - I List -II A. Facsimile I. Static Document Image B. Guided media Channel II. Local Broadcast Radio C. Frequency Modulation…Communication Systems
Q6393Two cells of same emf but different internal resistances r₁ and r₂ are connected in series with a resistance R. The value of resistance R, for which the…Current Electricity
Q6471If n represents the actual number of deflections in a converted galvanometer of resistance G and shunt resistance S. Then the total current I when its figure…Current Electricity
Q6573A proton, a neutron, an electron and an α particle have same energy. If λ p, λ n, λ e and λ a are the de Broglie's wavelengths of proton, neutron, electron…Dual Nature of Matter and Radiation
Q6789The electromagnetic waves travel in a medium at a speed of 2.0 × 10⁸ m/s. The relative permeability of the medium is 1.0. The relative permittivity of the…Electromagnetic Waves
Q7311The ratio of specific heats (C P /C V) in terms of degree of freedom (f) is given by:Thermodynamics
Q7463A copper block of mass 5.0 kg is heated to a temperature of 500° C and is placed on a large ice block. What is the maximum amount of ice that can melt?…Properties of Solids and Liquids
Q7523A solid metallic cube having total surface area 24 m² is uniformly heated. If its temperature is increased by 10° C, calculate the increase in volume of the…Thermodynamics
Q7648Given below are two statements: Statement I: Susceptibilities of paramagnetic and ferromagnetic substances increase with decrease in temperature. Statement…Magnetic Effects of Current and Magnetism
Q7686A long solenoid carrying a current produces a magnetic field B along its axis. If the current is doubled and the number of turns per cm is halved, the new…Magnetic Effects of Current and Magnetism
Q7790Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Two identical balls A and B thrown with…Kinematics
Q7876Two buses P and Q start from a point at the same time and move in a straight line and their positions are represented by X P (t) = α t + β t² and X Q (t) = ft…Kinematics
Q8443The interference pattern is obtained with two coherent light sources of intensity ratio 4: 1. And the ratio (I max + I min)/(I max - I min) is 5/x. Then, the…Optics
Q8464A light whose electric field vectors are completely removed by using a good polaroid, allowed to incident on the surface of the prism at Brewster's angle…Optics

Chemistry

Q2How many of the given compounds will give a positive Biuret test _ _ _ _ _ _ ? Glycine, Glycylalanine, Tripeptide, BiuretBiomolecules
Q3Amongst BeF₂, BF₃, H₂O, NH₃, CCl₄ and HCl, the number of molecules with non-zero net dipole moment is _ _ _ _ _ _.Chemical Bonding and Molecular Structure
Q4At 345 K, the half life for the decomposition of a sample of a gaseous compound initially at 55.5 kPa was 340 s. When the pressure was 27.8 kPa, the half life…Chemical Kinetics
Q6Amongst FeCl₃.3H₂O, K₃[Fe(CN)₆] and [Co(NH₃)₆]Cl₃, the spin-only magnetic moment value of the inner-orbital complex that absorbs light at shortest wavelength…Coordination Compounds
Q8A solution of Fe₂(SO₄)₃ is electrolyzed for 'x' min with a current of 1.5 A to deposit 0.3482 g of Fe. The value of x is _ _ _ _ _ _. [nearest integer] Given…Redox Reactions and Electrochemistry
Q11A rigid nitrogen tank stored inside a laboratory has a pressure of 30 atm at 06:00 am when the temperature is 27° C. At 03:00 pm, when the temperature is 45°…Gaseous State
Q16The Novolac polymer has mass of 963 g. The number of monomer units present in it arePolymers
Q18The neutralization occurs when 10 mL of 0.1M acid 'A' is allowed to react with 30 mL of 0.05 M base M(OH)₂. The basicity of the acid 'A' is _ _ _ _ _. [M is a…Redox Reactions and Electrochemistry
Q20A protein 'A' contains 0.30% of glycine (molecular weight 75). The minimum molar mass of the protein 'A' is _ _ _ _ _ × 10³ g mol⁻¹ [nearest integer]Some Basic Concepts in Chemistry
Q132Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: A mixture contains benzoic acid and…Some Basic Principles of Organic Chemistry
Q514Match List I with List II List - I List -II A. Zymase I. Stomach B. Diastase II. Yeast C. Urease III. Malt D. Pepsin IV. Soyabean Choose the correct answer…Chemistry in Everyday Life
Q884The metal ion (in gaseous state) with lowest spin-only magnetic moment value is:d- and f-Block Elements
Q1001The correct order of reduction potentials of the following pairs is A. Cl₂/Cl^(- B). I²/I^(- C). Ag⁺/Ag D. Na⁺/Na E. Li⁺/Li Choose the correct answer from the…Redox Reactions and Electrochemistry
Q1097Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Polluted water may have a value of BOD of…Environmental Chemistry
Q1286Given below are two statements one is labelled as Assertion A and the other is labelled as Reason R: Assertion A: The amphoteric nature of water is explained…Equilibrium
Q1345The K s p for bismuth sulphide (Bi₂S₃) is 1.08 × 10⁻⁷3. The solubility of Bi₂S₃ in mol L⁻¹ at 298 K is:Equilibrium
Q1443Given below are two statements. Statement I: During electrolytic refining, blister copper deposits precious metals. Statement II: In the process of obtaining…Isolation of Elements
Q1577The correct order of electron gain enthalpies of Cl, F, Te and Po isClassification of Elements and Periodicity in Properties
Q1774During halogen test, sodium fusion extract is boiled with concentrated HNO₃ toPrinciples Related to Practical Chemistry
Q1968Solute A associates in water. When 0.7 g of solute A is dissolved in 42.0 g of water, it depresses the freezing point by 0.2° C. The percentage association of…Solutions
Q2177The minimum energy that must be possessed by photons in order to produce the photoelectric effect with platinum metal is: [Given: The threshold frequency of…Atomic Structure
Q2359At 25° C and 1 atm pressure, the enthalpy of combustion of benzene (I) and acetylene (g) are - 3268 kJ mol⁻¹ and - 1300 kJ mol⁻¹, respectively. The change in…Chemical Thermodynamics

Mathematics

Q23Let l₁ be the line in xy-plane with x and y intercepts 1/8 and 1/(4 2) respectively, and l₂ be the line in zx-plane with x and z intercepts - 1/8 and - 1/(6…Three Dimensional Geometry
Q25Let f(x) = |(x - 1)(x² - 2x - 3)| + x - 3, x R. If m and M are respectively the number of points of local minimum and local maximum of f in the interval (0…Limit, Continuity and Differentiability
Q30If the sum of the co-efficient of all the positive even powers of x in the binomial expansion of (2x³ + 3/x)¹⁰ is 5¹⁰ - β. 3⁹, then β is equal to _ _ _ _ _ _.Binomial Theorem and Its Simple Applications
Q34The value of b > 3 for which 12∫₃^(b) 1/((x² - 1)(x² - 4))dx = log e (49/40), is equal to _ _ _ _ _ _.Integral Calculus
Q37Let the eccentricity of the hyperbola (x²)/(a²) - (y²)/(b²) = 1 be 5/4. If the equation of the normal at the point (8/(√(5)),12/5) on the hyperbola is 8 5 x +…Coordinate Geometry
Q39Let f(x) = [ 2x² + 1 ] and g(x) = \ 2x - 3, x < 0 2x + 3, x ≥ 0., where [t] is the greatest integer ≤ t. Then, in the open interval (- 1, 1), the number of…Limit, Continuity and Differentiability
Q42Let A = (2 - 2 1 - 1) and B = (- 1 2 - 1 2). Then the number of elements in the set (n, m): n, m 1, 2,.........., 10 and nAⁿ + mB^(m) = I is _ _ _ _ _ _.Matrices and Determinants
Q45The total number of three-digit numbers, with one digit repeated exactly two times, is _ _ _ _ _ _ _.Permutations and Combinations
Q50If the mean deviation about the mean of the numbers 1, 2, 3,.........., n, where n is odd, is (5(n + 1))/n, then n is equal to _ _ _ _ _ _ _.Statistics and Probability
Q52Let b = i + j + λ k, λ R. If a is a vector such that a × b = 13 i - j - 4 k and a. b + 21 = 0, then (b - a). (k - j) + (b + a). (i - k) is equal to _ _ _ _ _…Vector Algebra
Q2593Let p be the plane passing through the intersection of the planes r. (i + 3 j - k) = 5 and r. (2 i - j + k) = 3, and the point (2, 1, - 2). Let the position…Three Dimensional Geometry
Q2747Water is being filled at the rate of 1 cm³ / sec in a right circular conical vessel (vertex downwards) of height 35 cm and diameter 14 cm. When the height of…Limit, Continuity and Differentiability
Q2786If the angle made by the tangent at the point (x₀, y₀) on the curve x = 12(t + sin t cos t), y = 12(1 + sin t)², 0 < t < (π)/2, with the positive x-axis is…Limit, Continuity and Differentiability
Q2843The area of the region enclosed between the parabolas y² = 2x - 1 and y² = 4x - 3 isIntegral Calculus
Q2937The coefficient of x¹⁰¹ in the expression (5 + x)⁵⁰⁰ + x (5 + x)⁴⁹⁹ + x²(5 + x)⁴⁹⁸ +..... + x⁵⁰⁰, x > 0, isBinomial Theorem and Its Simple Applications
Q3135A circle touches both the y-axis and the line x + y = 0. Then the locus of its center is:Coordinate Geometry
Q3215Let z₁ and z₂ be two complex numbers such that z ₁ = i z ₂ and arg (z₁/(z ₂)) = π. Then:Complex Numbers and Quadratic Equations
Q3433If b n = ∫₀^((π)/2) (cos ²nx)/(sin x)dx, n N, thenIntegral Calculus
Q3624If y = y(x) is the solution of the differential equation 2x²dy/dx - 2xy + 3y² = 0 such that y(e) = e/3, then y(1) is equal to:Differential Equations
Q3716The line y = x + 1 meets the ellipse (x²)/4 + (y²)/2 = 1 at two points P and Q. If r is the radius of the circle with PQ as diameter then (3r)² is equal to:Coordinate Geometry
Q4107The value of tan ⁻¹((cos ((15π)/4) - 1)/(sin ((π)/4))) is equal to:Trigonometry
Q4293lim x → (π)/2 (tan ²x((2 sin ²x + 3 sin x + 4)^(1/2) - (sin ²x + 6 sin x + 2)^(1/2))) is equal toLimit, Continuity and Differentiability
Q4366The negation of the Boolean expression ((q) p) ⇒ ((p) q) is logically equivalent to:Mathematical Reasoning
Q4607The system of equations - kx + 3y - 14z = 25 - 15x + 4y - kz = 3 - 4x + y + 3z = 4 is consistent for all k in the setMatrices and Determinants
Q4749If the line y = 4 + kx, k > 0, is the tangent to the parabola y = x - x² at the point P and V is the vertex of the parabola, then the slope of the line…Coordinate Geometry
Q5000A biased die is marked with numbers 2, 4, 8, 16, 32, 32 on its faces and the probability of getting a face with mark n is 1/n. If the die is thrown thrice…Statistics and Probability
Q5057Let a, b R be such that the equation a x² - 2bx + 15 = 0 has a repeated root α. If α and β are the roots of the equation x² - 2bx + 21 = 0, then α ² + β ² is…Complex Numbers and Quadratic Equations
Q5085Let A = x R:|x + 1| < 2 and B = x R:|x - 1| ≥ 2. Then which one of the following statements is NOT true?Complex Numbers and Quadratic Equations
Q5334The sum 1 + 2. 3 + 3. 3² +......... + 10. 3⁹ is equal to:Sequence and Series
Q5672The value of 2sin (12°) - sin (72°) is:Trigonometry