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JEE Main 2022 27 Jun Evening shift Question Paper with Solutions | JEE Arc

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JEE Main 202227 Jun, Evening shift

Physics 20Chemistry 19Mathematics 29

Physics

Q55The current density in a cylindrical wire of radius r = 4.0 mm is 1.0 × 10⁶ A/m². The current through the outer portion of the wire between radial distances…Current Electricity
Q56A metallic rod of length 20 cm is placed in North-South direction and is moved at a constant speed of 20 m/s towards East. The horizontal component of the…Electromagnetic Induction and Alternating Currents
Q62A diatomic gas (γ = 1.4) does 400J of work when it is expanded isobarically. The heat given to the gas in the process is _ _ _ _ _ J.Thermodynamics
Q63A mass of 10 kg is suspended vertically by a rope of length 5 m from the roof. A force of 30 N is applied at the middle point of rope in horizontal direction…Laws of Motion
Q64A deuteron and a proton moving with equal kinetic energy enter into a uniform magnetic field at right angle to the field. If r d and r p are the radii of…Magnetic Effects of Current and Magnetism
Q68A particle executes simple harmonic motion. Its amplitude is 8 cm and time period is 6 s. The time it will take to travel from its position of maximum…Oscillations and Waves
Q5950If L, C and R are the self inductance, capacitance and resistance respectively, which of the following does not have the dimension of time?Electromagnetic Induction and Alternating Currents
Q6006Given below are two statements: Statement I: In hydrogen atom, the frequency of radiation emitted when an electron jumps from lower energy orbit (E₁) to…Atoms and Nuclei
Q6259A stone tide to a spring of length L is whirled in a vertical circle with the other end of the spring at the centre. At a certain instant of time, the stone…Kinematics
Q6320We do not transmit low frequency signal to long distances because- (a) The size of the antenna should be comparable to signal wavelength which is unreal…Communication Systems
Q6786Given below are two statements: Statement I: A time varying electric field is a source of changing magnetic field and vice-versa. Thus a disturbance in…Electromagnetic Waves
Q6909For a transistor to act as a switch, it must be operated inElectronic Devices
Q7273The distance of the Sun from earth is 1.5 × 10¹¹ m and its angular diameter is (2000) s when observed from the earth. The diameter of the Sun will be:Gravitation
Q7310According to kinetic theory of gases, A. The motion of the gas molecules freezes at 0° C. B. The mean free path of gas molecules decreases if the density of…Kinetic Theory of Gases
Q7462A lead bullet penetrates into a solid object and melts. Assuming that 40% of its kinetic energy is used to heat it, the initial speed of bullet is: (Given…Properties of Solids and Liquids
Q7910When a ball is dropped into a lake from a height 4.9 m above the water level, it hits the water with a velocity v and then sinks to the bottom with the…Properties of Solids and Liquids
Q8074One end of a massless spring of spring constant k and natural length l₀ is fixed while the other end is connected to a small object of mass m lying on a…Rotational Motion
Q8167The equation of a particle executing simple harmonic motion is given by x = sin π (t + 1/3)m. At t = 1s, the speed of particle will be (Given: π = 3.14)Oscillations and Waves
Q8254The SI unit of a physical quantity is pascal-second. The dimensional formula of this quantity will be:Units and Measurements
Q8505If a wave gets refracted into a denser medium, then which of the following is true?Oscillations and Waves

Chemistry

Q4It has been found that for a chemical reaction with rise in temperature by 9 K the rate constant gets doubled. Assuming a reaction to be occurring at 300 K…Chemical Kinetics
Q11pH value of 0.001 M NaOH solution is _ _ _ _ _ _.Equilibrium
Q170.25 g of an organic compound containing chlorine gave 0.40 g of silver chloride in Carius estimation. The percentage of chlorine present in the compound is _…Principles Related to Practical Chemistry
Q18A solution containing 2.5 × 10⁻³ kg of a solute dissolved in 75 × 10⁻³ kg of water boils at 373.535 K. The molar mass of the solute is _ _ _ _ _ _ g mol⁻¹…Solutions
Q19116 g of a substance upon dissociation reaction, yields 7.5 g of hydrogen, 60 g of oxygen and 48.5 g of carbon. Given that the atomic masses of H, O and C are…Some Basic Concepts in Chemistry
Q20Consider the following set of quantum numbers. | n | 1 | m ₁ A. | 3 | 3 | - 3 B. | 3 | 2 | - 2 C. | 2 | 1 | +1 D. | 2 | 2 | +2 The number of correct sets of…Atomic Structure
Q21When 5 moles of He gas expand isothermally and reversibly at 300 K from 10 litre to 20 litre, the magnitude of the maximum work obtained is _ _ _ _ _ J…Chemical Thermodynamics
Q176Given below are two statements. Statement I: Maltose has two α -D-glucose units linked at C₁ and C₄ and is a reducing sugar. Statement II: Maltose has two…Biomolecules
Q309Identify the incorrect statement for PCl₅ from the following.Chemical Bonding and Molecular Structure
Q335The correct order of increasing intermolecular hydrogen bond strength isChemical Bonding and Molecular Structure
Q739Arrange the following coordination compounds in the increasing order of magnetic moments. (Atomic numbers: Mn = 25; Fe = 26) A. [FeF₆]³ - B. [Fe(CN)₆]³ - C…Coordination Compounds
Q828The 'f' orbitals are half and completely filled, respectively in lanthanide ions: [Given: Atomic no. Eu, 63; Sm, 62; Tm, 69; Tb, 65; Yb, 70; Dy, 66]d- and f-Block Elements
Q999In 3d series, the metal having the highest M²⁺/M standard electrode potential is:Redox Reactions and Electrochemistry
Q1037On the surface of polar stratospheric clouds, hydrolysis of chlorine nitrite gives A and B while its reaction with its reaction with HCl produces B and C. A…Environmental Chemistry
Q1356Statement I: Leaching of gold with cyanide ion in absence of air / O₂ leads to cyano complex of Au(III). Statement II: Zinc is oxidized during the…Isolation of Elements
Q1511Match List I with List II. List-I (Anion) List-II (gas evolved on reaction with dil.H ₂ SO ₂) (A) CO ₃²⁻ I. Colourless gas which turns lead acetate paper…p-Block Elements
Q1530Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Fluorine forms one oxoacid. Reason R…p-Block Elements
Q1561The correct order of increasing ionic radii isClassification of Elements and Periodicity in Properties
Q1698Which is true about Buna-N?Polymers

Mathematics

Q24If the area of the region (x,y):x^(2/3) + y^(2/3) ≤ 1, x + y ≥ 0, y ≥ 0 is A, then 256A/(π) is equal to _ _ _ _ _.Integral Calculus
Q25If the sum of the coefficients of all the positive powers of x, in the Binomial expansion of (xⁿ + 2/(x⁵))⁷ is 939, then the sum of all the possible integral…Binomial Theorem and Its Simple Applications
Q27Let a circle C of radius 5 lie below the x-axis. The line L₁: 4x + 3y + 2 = 0 passes through the centre P of the circle C and intersects the line L₂ = 3x - 4y…Coordinate Geometry
Q33Let y = y(x) be the solution of the differential equation (1 - x²)dy = (xy + (x³ + 2)√(1 - x²))dx, - 1 < x < 1, and y(0) = 0. If ∫ (- 1)/2 ^(1/2) √(1 - x²)…Differential Equations
Q34If y(x) = (xˣ)ˣ, x > 0, then d²x d y² + 20 at x = 1 is equal to _ _ _ _ _ _.Limit, Continuity and Differentiability
Q35Let S = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. Define f: S → S as f(n) = \ 2n, if n = 1,2,3,4,5 2n - 11, if n = 6,7,8,9,10.. Let g: S → S be a function such that…Sets, Relations and Functions
Q37Let [t] denote the greatest integer ≤ t and t denote the fractional part of t. The integral value of α for which the left hand limit of the function f(x) = [1…Limit, Continuity and Differentiability
Q42Let A be a matrix of order 2 × 2, whose entries are from the set 0, 1, 2, 3, 4, 5. If the sum of all the entries of A is a prime number p, 2 < p < 8, then the…Permutations and Combinations
Q44Let S = E₁, E₂,........., E₈ be a sample space of a random experiment such that P(E n) = n/36 for every n = 1, 2,........, 8. Then the number of elements in…Statistics and Probability
Q45Let α, β be the roots of the equation x² - 4λ x + 5 = 0 and α, γ be the roots of the equation x² - (3 2 + 2 3)x + 7 + 3λ 3 = 0, λ > 0. If β + γ = 3 2, then (α…Complex Numbers and Quadratic Equations
Q2444Let the foot of the perpendicular from the point (1, 2, 4) on the line (x + 2)/4 = (y - 1)/2 = (z + 1)/3 be P. Then the distance of P from the plane 3x + 4y +…Three Dimensional Geometry
Q2501The shortest distance between the lines (x - 3)/2 = (y - 2)/3 = (z - 1)/(- 1) and (x + 3)/2 = (y - 6)/1 = (z - 5)/3, is:Three Dimensional Geometry
Q3112The set of values of k, for which the circle C:4x² + 4y² - 12x + 8y + k = 0 lies inside the fourth quadrant and the point (1, - 1/3) lies on or inside the…Coordinate Geometry
Q3193The number of points of intersection of |z - (4 + 3i)| = 2 and |z| + |z - 4| = 6, z C, is:Complex Numbers and Quadratic Equations
Q3315If m and n respectively are the number of local maximum and local minimum points of the function f(x) = ∫₀^(x²) (t² - 5t + 4)/(2 + e^(t))dt, then the ordered…Integral Calculus
Q3316Let f be a differentiable function in (0,(π)/2). If ∫ cos x ¹ t² f(t)dt = sin ³x + cos x, then 1/(3)f'(1/(3)) is equal toIntegral Calculus
Q3431The integral ∫₀¹ 1/(7^([ 1/x ]))dx, where [. ] denotes the greatest integer function, is equal toIntegral Calculus
Q3541If the solution curve of the differential equation ((tan ⁻¹y) - x)dy = (1 + y²)dx passes through the point (1, 0), then the abscissa of the point on the curve…Differential Equations
Q4106The value of cot (Σ n = 1 ⁵⁰ tan ⁻¹(1/(1 + n + n²))) is:Trigonometry
Q4362Which of the following statement is a tautology?Mathematical Reasoning
Q4529Let f(x) = | a - 1 0 ax a - 1 a x² ax a |, a R. Then the sum of the squares of all the values of a, for which 2f'(10) - f'(5) + 100 = 0, isMatrices and Determinants
Q4530Let A and B be two 3 × 3 matrices such that AB = I and |A| = 1/8. Then |adj (B adj(2A))| is equal toMatrices and Determinants
Q4730If the equation of the parabola, whose vertex is at (5, 4) and the directrix is 3x + y - 29 = 0, is x² + a y² + bxy + cx + dy + k = 0, then a + b + c + d + k…Coordinate Geometry
Q4919If a point A(x, y) lies in the region bounded by the y-axis, straight lines 2y + x = 6 and 5x - 6y = 30, then the probability that y < 1 is:Statistics and Probability
Q5224If a₁, a₂, a₃...... and b₁, b₂, b₃....... are A.P., and a₁ = 2, a₁₀ = 3, a₁b₁ = 1 = a₁₀b₁₀, then a₄ b₄ is equal to -Sequence and Series
Q5332Let S = 2 + 6/7 + 12/(7²) + 20/(7³) + 30/(7⁴) +...... Then 4S is equal toSequence and Series
Q5472The mean and variance of the data 4, 5, 6, 6, 7, 8, x, y, where x < y, are 6 and 9/4 respectively. Then x⁴ + y² is equal to:Statistics and Probability
Q5671α = sin 36° is a root of which of the following equation?Trigonometry
Q5820Let a and b be the vectors along the diagonals of a parallelogram having area 2 2. Let the angle between a and b be acute, | a | = 1, and | a. b | = | a × b…Vector Algebra