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JEE Main 2022 24 Jun Evening shift Question Paper with Solutions | JEE Arc

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JEE Main 202224 Jun, Evening shift

Physics 27Chemistry 23Mathematics 29

Physics

Q57A sample contains 10⁻² kg each of two substances A and B with half lives 4 s and 8 s respectively. The ratio of their atomic weights is 1: 2. The ratio of the…Atoms and Nuclei
Q61An antenna is placed in a dielectric medium of dielectric constant 6.25. If the maximum size of that antenna is 5.0 mm, it can radiate a signal of minimum…Communication Systems
Q63A potentiometer wire of length 10 m and resistance 20 Ω is connected in series with a 25 V battery and an external resistance 30 Ω. A cell of emf E in…Current Electricity
Q65A circular coil of 1000 turns each with area 1m² is rotated about its vertical diameter at the rate of one revolution per second in a uniform horizontal…Electromagnetic Induction and Alternating Currents
Q69A ray of light is incident at an angle of incidence 60° on the glass slab of refractive index 3. After refraction, the light ray emerges out from other…Optics
Q71A monoatomic gas performs a work of Q/4 where Q is the heat supplied to it. The molar heat capacity of the gas will be _ _ _ _ _ _ _ R during this…Thermodynamics
Q76A body is projected from the ground at an angle of 45° with the horizontal. Its velocity after 2s is 20 ms⁻¹. The maximum height reached by the body during…Kinematics
Q81Two travelling waves of equal amplitudes and equal frequencies move in opposite directions along a string. They interfere to produce a stationary wave whose…Oscillations and Waves
Q5903Given below are two statements: Statement I: The reactance of an ac circuit is zero. It is possible that the circuit contains a capacitor and an inductor…Electromagnetic Induction and Alternating Currents
Q6009In Bohr's atomic model of hydrogen, let K, P and E are the kinetic energy, potential energy and total energy of the electron respectively. Choose the correct…Atoms and Nuclei
Q6179If the charge on a capacitor is increased by 2 C, the energy stored in it increases by 44%. The original charge on the capacitor is (in C)Electrostatics
Q6277A stone of mass m, tied to a string is being whirled in a vertical circle with a uniform speed. The tension in the string isKinematics
Q6278A fly wheel is accelerated uniformly from rest and rotates through 5 rad in the first second. The angle rotated by the fly wheel in the next second, will be:Kinematics
Q6385What will be the most suitable combination of three resistors A = 2 Ω, B = 4 Ω, C = 6 Ω so that (22/3) Ω is equivalent resistance of combination?Current Electricity
Q6649The light of two different frequencies whose photons have energies 3.8 eV and 1.4 eV respectively, illuminate a metallic surface whose work function is 0.6 eV…Dual Nature of Matter and Radiation
Q6791An electric bulb is rated as 200 W. What will be the peak magnetic field at 4 m distance produced by the radiations coming from this bulb? Consider this bulb…Electromagnetic Waves
Q6926Two identical charged particles each having a mass 10 g and charge 2.0 × 10⁻⁷C are placed on a horizontal table with a separation of L between them such that…Electrostatics
Q6927A long cylindrical volume contains a uniformly distributed charge of density ρ. The radius of cylindrical volume is R. A charge particle (q) revolves around…Electrostatics
Q7274The distance between Sun and Earth is R. The duration of year if the distance between Sun and Earth becomes 3R will be:Gravitation
Q7464A 100 g of iron nail is hit by a 1.5 kg hammer striking at a velocity of 60 ms⁻¹. What will be the rise in the temperature of the nail if one fourth of energy…Thermodynamics
Q7592An object of mass 5 kg is thrown vertically upwards from the ground. The air resistance produces a constant retarding force of 10 N throughout the motion. The…Laws of Motion
Q7649The soft-iron is a suitable material for making an electromagnet. This is because soft-iron hasMagnetic Effects of Current and Magnetism
Q7709A proton, a deutron and an α -particle with same kinetic energy enter into a uniform magnetic field at right angle to magnetic field. The ratio of the radii…Magnetic Effects of Current and Magnetism
Q7947Potential energy as a function of r is given by U = A/(r¹⁰) - B/(r⁵), where r is the interatomic distance, A and B are positive constants. The equilibrium…Properties of Solids and Liquids
Q8209Two massless springs with spring constants 2 k and 9 k, carry 50 g and 100 g masses at their free ends. These two masses oscillate vertically such that their…Oscillations and Waves
Q8257Identify the pair of physical quantities that have same dimensions:Units and Measurements
Q8445Two light beams of intensities in the ratio of 9: 4 are allowed to interfere. The ratio of the intensity of maxima and minima will be:Optics

Chemistry

Q2In alanylglycyl leucyl alanyl valine, the number of peptide linkages is _ _ _ _ _ _.Biomolecules
Q4PCl₅ dissociates as PCl₅(g) PCl₃(g) + Cl₂(g) 5 moles of PCl₅ are placed in a 200 litre vessel which contains 2 moles of N₂ and is maintained at 600 K. The…Equilibrium
Q8Manganese (VI) has ability to disproportionate in acidic solution. The difference in oxidation states of two ions it forms in acidic solution is _ _ _ _ _ _.d- and f-Block Elements
Q10The resistance of a conductivity cell containing 0.01 M KCl solution at 298 K is 1750 Ω. If the conductivity of 0.01 M KCl solution at 298 K is 0.152 × 10⁻³ S…Redox Reactions and Electrochemistry
Q12At 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g of hydrogen at 200 K at the same pressure. The molar mass of gas A is _ _ _ _ _ _ g…Gaseous State
Q15(a) Baryte, (b) Galena, (c) Zinc blende and (d) Copper pyrites. How many of these minerals are sulphide based?Isolation of Elements
Q180.2 g of an organic compound was subjected to estimation of nitrogen by Dumas method in which volume of N₂ evolved (at STP) was found to be 22.400 mL. The…Principles Related to Practical Chemistry
Q22A company dissolves 'x' amount of CO₂ at 298 K in 1 litre of water to prepare soda water. X = _ _ _ _ _ × 10⁻³ g. (nearest integer) (Given: partial pressure…Solutions
Q378The correct order of bond orders of C₂²⁻, N₂²⁻ and O₂²⁻ is, respectivelyChemical Bonding and Molecular Structure
Q476For a first order reaction, the time required for completion of 90% reaction is 'x' times the half life of the reaction. The value of 'x' is (Given: ln 10 =…Chemical Kinetics
Q632Transition metal complex with highest value of crystal field splitting (Δ ₀) will be:Coordination Compounds
Q886Metals generally melt at very high temperature. Amongst the following, the metal with the highest melting point will be:d- and f-Block Elements
Q1071Some gases are responsible for heating of atmosphere (green house effect). Identify from the following the gaseous species which does not cause it.Environmental Chemistry
Q1170Given below are two statements: Statement I: The presence of weaker π -bonds make alkenes less stable than alkanes. Statement II: The strength of the double…Hydrocarbons
Q1398Which of the following chemical reactions represents Hall-Heroult Process?Isolation of Elements
Q1491PCl₅ is well known, but NCl₅ is not. because,p-Block Elements
Q1700Which of the following is not an example of a condensation polymer?Polymers
Q1775In the flame test of a mixture of salts, a green flame with blue centre was observed. Which one of the following cations may be present?Principles Related to Practical Chemistry
Q1830Which one of the following compounds is used as a chemical in certain type of fire extinguishers?S Block Elements
Q1858In the industrial production of which of the following, molecular hydrogen is obtained as a byproduct?S Block Elements
Q2100120 g of an organic compound that contains only carbon and hydrogen gives 330 g of CO₂ and 270 g of water on complete combustion. The percentage of carbon and…Some Basic Concepts in Chemistry
Q2184The energy of one mole of photons of radiation of wavelength 300 nm is (Given: h = 6.63 × 10⁻³4 J s, N A = 6.02 × 10²³ mol⁻¹, c = 3 × 10⁸ m s⁻¹)Atomic Structure
Q2360At 25° C and 1 atm pressure, the enthalpies of combustion are as given below: Substance H₂ C (graphite) C₂H₆(g) Δ c H^Θ kJ mo l⁻¹ - 286.0 - 394.0 - 1560.0 The…Chemical Thermodynamics

Mathematics

Q30The area (in sq. units) of the region enclosed between the parabola y² = 2x and the line x + y = 4 is _ _ _ _ _.Integral Calculus
Q31The remainder on dividing 1 + 3 + 3² + 3³ +..... + 3²⁰²¹ by 50 is _ _ _ _ _.Binomial Theorem and Its Simple Applications
Q32Let a circle C: (x - h)² + (y - k)² = r², k > 0, touch the x-axis at (1, 0). If the line x + y = 0 intersects the circle C at P and Q such that the length of…Coordinate Geometry
Q33Let S = z C: |z - 3| ≤ 1 and z(4 + 3i) + z (4 - 3i) ≤ 24. If α + i β is the point in S which is closest to 4i, then 25(α + β) is equal to _ _ _ _ _ _.Complex Numbers and Quadratic Equations
Q38Let the hyperbola H:(x²)/(a²) - y² = 1 and the ellipse E:3x² + 4y² = 12 be such that the length of latus rectum of H is equal to the length of latus rectum of…Coordinate Geometry
Q42Let S = \ (- 1 a 0 b);a,b 1,2,3,....100 \ and let T n = A S:A^(n(n + 1)) = I. Then the number of elements in n = 1 ¹⁰⁰ T n is _ _ _ _ _ _.Matrices and Determinants
Q45Let P₁ be a parabola with vertex (3, 2) and focus (4, 4) and P₂ be its mirror image with respect to the line x + 2y = 6. Then the directrix of P₂ is x + 2y =…Coordinate Geometry
Q46The number of 7-digit numbers which are multiples of 11 and are formed using all the digits 1, 2, 3, 4, 5, 7 and 9 is _ _ _ _ _ _ _.Permutations and Combinations
Q47In an examination, there are 10 true-false type questions. Out of 10, a student can guess the answer of 4 questions correctly with probability 3/4 and the…Statistics and Probability
Q52The sum of all the elements of the set α 1,2,.....,100:HCF(α,24) = 1 is _ _ _ _ _.Sets, Relations and Functions
Q2504If the shortest distance between the lines (x - 1)/2 = (y - 2)/3 = (z - 3)/(λ) and (x - 2)/1 = (y - 4)/4 = (z - 5)/5 is 1/(3), then the sum of all possible…Three Dimensional Geometry
Q2594Let the points on the plane P be equidistant from the points (- 4, 2, 1) and (2, - 2, 3). Then the acute angle between the plane P and the plane 2x + y + 3z =…Three Dimensional Geometry
Q2725Let λ ^ be the largest value of λ for which the function f_λ (x) = 4λ x³ - 36λ x² + 36x + 48 is increasing for all x R. Then f λ ^ (1) + f λ ^ (- 1) is equal…Limit, Continuity and Differentiability
Q2787The slope of normal at any point (x, y), x > 0, y > 0 on the curve y = y(x) is given by (x²)/(xy - x²y² - 1). If the curve passes through the point (1, 1)…Limit, Continuity and Differentiability
Q3291lim n → ∞ ((n²)/((n² + 1)(n + 1)) + (n²)/((n² + 4)(n + 2)) + (n²)/((n² + 9)(n + 3)) +.... + (n²)/((n² + n²)(n + n))) is equal to:Integral Calculus
Q3435The value of the integral ∫ - π /2 ^(π /2) dx/((1 + eˣ)(sin ⁶x + cos ⁶x)) is equal toIntegral Calculus
Q3682If y = tan ⁻¹(sec x³ - tan x³),(π)/2 < x³ < (3π)/2, thenLimit, Continuity and Differentiability
Q3761Let the maximum area of the triangle that can be inscribed in the ellipse (x²)/(a²) + (y²)/4 = 1, a > 2, having one of its vertices at one end of the major…Coordinate Geometry
Q4108Let x y = x² + y³ and (x 1) 1 = x (1 1). Then a value of 2 sin ⁻¹((x⁴ + x² - 2)/(x⁴ + x² + 2)) is:Trigonometry
Q4209Let f(x) = \ (sin (x - [x]))/(x - [x]), x (- 2, - 1) max 2x,3[|x|], |x| < 1 1, otherwise. where [t] denotes greatest integer ≤ t. If m is the number of points…Limit, Continuity and Differentiability
Q4419Consider the following statements: A: Rishi is a judge. B: Rishi is honest. C: Rishi is not arrogant. The negation of the statement "if Rishi is a judge and…Mathematical Reasoning
Q4609Let the system of linear equations x + y + α z = 2 3x + y + z = 4 x + 2z = 1 have a unique solution (x ^, y ^, z ^). If (α, x ^), (y ^, α) and (x ^, - y ^)…Matrices and Determinants
Q4732A particle is moving in the xy-plane along a curve C passing through the point (3, 3). The tangent to the curve C at the point P meets the x-axis at Q. If the…Coordinate Geometry
Q5001A random variable X has the following probability distribution: X 0 1 2 3 4 P(X) k 2k 4k 6k 8k The value of P(1 < X < 4 | X ≤ 2) is equal to:Statistics and Probability
Q5100The sum of all the real roots of the equation (e²ˣ - 4)(6e²ˣ - 5eˣ + 1) = 0 isComplex Numbers and Quadratic Equations
Q5101The number of distinct real roots of the equation x⁷ - 7x - 2 = 0 isComplex Numbers and Quadratic Equations
Q5182Let x, y > 0. If x³y² = 2¹⁵, then the least value of 3x + 2y isSequence and Series
Q5522Let the area of the triangle with vertices A(1, α), B(α, 0) and C(0, α) be 4 sq. units. If the points (α, - α), (- α, α) and (α ², β) are collinear, then β is…Coordinate Geometry
Q5822Let a and b be two unit vectors such that |(a + b) + 2(a × b)| = 2. If θ (0, π) is the angle between a and b, then among the statements: (S1): 2| a × b| = | a…Vector Algebra