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JEE Main 2023 25 Jan Evening shift Question Paper with Solutions | JEE Arc

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JEE Main 202325 Jan, Evening shift

Physics 25Chemistry 24Mathematics 28

Physics

Q54A series LCR circuit is connected to an AC source of 220 V, 50 Hz. The circuit contains a resistance R = 80 Ω, an inductor of inductive reactance X L =70Ω…Electromagnetic Induction and Alternating Currents
Q55A nucleus disintegrates into two smaller parts, which have their velocities in the ratio 3: 2. The ratio of their nuclear sizes will be (x/3)^(1/3). The value…Atoms and Nuclei
Q56A capacitor has capacitance 5 μ F when it's parallel plates are separated by air medium of thickness d. A slab of material of dielectric constant 1.5 having…Electrostatics
Q57A body of mass 1 kg collides head on elastically with a stationary body of mass 3 kg. After collision, the smaller body reverses its direction of motion and…Rotational Motion
Q70Two long parallel wires carrying currents 8A and 15A in opposite directions are placed at a distance of 7 cm from each other. A point P is at equidistant from…Magnetic Effects of Current and Magnetism
Q74A spherical drop of liquid splits into 1000 identical spherical drops. If u i is the surface energy of the original drop and u f is the total surface energy…Properties of Solids and Liquids
Q75If a solid sphere of mass 5 kg and a disc of mass 4 kg have the same radius. Then the ratio of moment of inertia of the disc about a tangent in its plane to…Rotational Motion
Q78A train blowing a whistle of frequency 320 Hz approaches an observer standing on the platform at a speed of 66 m/s. The frequency observed by the observer…Oscillations and Waves
Q6325Match List I with List II List I List II A. Troposphere I. Approximate 65-75 km over Earth's surface B. E-Part of Stratosphere II. Approximate 300 km over…Communication Systems
Q6522The resistance of a wire is 5 Ω. It's new resistance in ohm if stretched to 5 times of it's original length will be:Current Electricity
Q6657Given below are two statements: Statement I: Stopping potential in photoelectric effect does not depend on the power of the light source. Statement II: For a…Dual Nature of Matter and Radiation
Q6724A wire of length 1m moving with velocity 8 m/s at right angles to a magnetic field of 2T. The magnitude of induced emf, between the ends of wire will be _ _ _…Electromagnetic Induction and Alternating Currents
Q6806Match List I with List II List I List II A. Gauss's Law in Electrostatics I. E. d l = - d φ B dt B. Faraday's Law II. B. d A = 0 C. Gauss's Law in Magnetism…Electromagnetic Waves
Q6884Statement I: When a Si sample is doped with Boron, it becomes P type and when doped by Arsenic it becomes N-type semi conductor such that P-type has excess…Electronic Devices
Q6975A point charge of 10 μ C is placed at the origin. At what location on the X-axis should a point charge of 40 μ C be placed so that the net electric field is…Electrostatics
Q7085The light rays from an object have been reflected towards an observer from a standard flat mirror, the image observed by the observer are:- A. Real B. Erect…Optics
Q7237A body of mass is taken from earth surface to the height h equal to twice the radius of earth (R e), the increase in potential energy will be: (g =…Gravitation
Q7278Every planet revolves around the sun in an elliptical orbit:- A. The force acting on a planet is inversely proportional to square of distance from sun. B…Gravitation
Q7315According to law of equipartition of energy the molar specific heat of a diatomic gas at constant volume where the molecule has one additional vibrational…Kinetic Theory of Gases
Q7496Match List I with List II List I List II A. Isothermal Process I. Work done by the gas decreases internal energy B. Adiabatic Process II. No change in…Thermodynamics
Q7730For a moving coil galvanometer, the deflection in the coil is 0.05 rad when a current of 10 mA is passes through it. If the torsional constant of suspension…Magnetic Effects of Current and Magnetism
Q7799Two objects are projected with same velocity 'u' however at different angles α and β with the horizontal. If α+β=90°, the ratio of horizontal range of the…Kinematics
Q7835The distance travelled by a particle is related to time t as x=4t². The velocity of the particle at t=5s is:-Kinematics
Q8170A particle executes simple harmonic motion between x=-A and x=+A. If time taken by particle to go from x=0 to A/2 is 2 s; then time taken by particle in going…Oscillations and Waves
Q8268Match List I with List II List I List II A. Young's Modulus (Y) I. [ML⁻¹T⁻¹] B. Co-efficient of Viscosity (η) II. [ML²T⁻¹] C. Planck's Constant (h) III…Units and Measurements

Chemistry

Q3A first order reaction has the rate constant, k=4.6×10⁻³~s⁻¹. The number of correct statement/s from the following is/are _ _ _ _ _ Given: log 3=0.48 A…Chemical Kinetics
Q7Total number of moles of AgCl precipitated on addition of excess of AgNO ₃ to one mole each of the following complexes…Coordination Compounds
Q9Pt(s)|H₂(g)(1 bar)|H⁺ (aq)(1 M)||M³⁺(aq),M⁺ (aq)|Pt(s) The E cell for the given cell is 0.1115 V at 298 K when ([ M⁺ (aq) ])/([ M³⁺(aq) ]) = 10^(a) The value…Redox Reactions and Electrochemistry
Q20The number of pairs of the solutions having the same value of the osmotic pressure from the following is _ _ _ _ _. (Assume 100% ionization) A. 0.500…Solutions
Q22Number of hydrogen atoms per molecule of a hydrocarbon A having 85.8% carbon is _ _ _ _ _ (Given: Molar mass of A = 84 g mol ⁻¹)Some Basic Concepts in Chemistry
Q23The number of given orbitals which have electron density along the axis is _ _ _ _ _ p x,p y,p z,d xy,d yz,d xz,d z²,d x²-y²Atomic Structure
Q2428.0 L of CO ₂ is produced on complete combustion of 16.8 L gaseous mixture of ethene and methane at 25° C and 1 atm. Heat evolved during the combustion…Chemical Thermodynamics
Q31Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R Assertion A: Butylated hydroxy anisole when added to…Organic Compounds Containing Oxygen
Q269Statement I: Dipole moment is a vector quantity and by convention it is depicted by a small arrow with tail on the negative centre and head pointing towards…Chemical Bonding and Molecular Structure
Q544Match List I with List II List I (Amines) List II (pK b) A. Aniline I. 3.25 B. Ethanamine II. 3.00 C. N-Ethylethanamine III. 9.38 D. N, N-Diethylethanamine…Organic Compounds Containing Nitrogen
Q545Match List I with List II List I Isomeric pairs List II Type of isomers A. Propanamine and N-Methylethanamine I. Metamers B. Hexan-2-one and Hexan-3-one II…Organic Compounds Containing Nitrogen
Q638Match List I with List II List I Coordination entity List II Wavelength of light absorbed in nm A. [CoCl(NH₃)₅]²⁺ I. 310 B. [Co(NH₃)₆]³⁺ II. 475 C…Coordination Compounds
Q786A chloride salt solution acidified with dil.HNO ₃ gives a curdy white precipitate, [A], on addition of AgNO ₃. [A] on treatment with NH ₄ OH gives a clear…d- and f-Block Elements
Q1148The isomeric deuterated bromide with molecular formula C₄H₈DBr having two chiral carbon atoms isOrganic Compounds Containing Halogens
Q1260Match List I with List II List I List II A. Cobalt catalyst I. (H₂+Cl₂) production B. Syngas II. Water gas production C. Nickel catalyst III. Coal…Hydrogen
Q1314When the hydrogen ion concentration [H ⁺ ] changes by a factor of 1000, the value of pH of the solution _ _ _ _ _Equilibrium
Q1362Given below are two statements: Statement I: In froth floatation method of rotating paddle agitates the mixture to drive air out of it. Statement II: Iron…Isolation of Elements
Q1456Potassium dichromate acts as a strong oxidizing agent in acidic solution. During this process, the oxidation state changes from:p-Block Elements
Q1533A. Ammonium salts produce haze in atmosphere. B. Ozone gets produced when atmospheric oxygen reacts with chlorine radicals. C. Polychlorinated biphenyls act…p-Block Elements
Q1721Match List I with List II List I (Name of polymer) List II (Uses) A. Glyptal I. Flexible pipes B. Neoprene II. Synthetic wool C. Acrilan III. Paints and…Polymers
Q1862Which one among the following metals is the weakest reducing agent?S Block Elements
Q1863Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R Assertion A: The alkali metals and their salts impart…S Block Elements
Q1901Which of the following represents the correct order of metallic character of the given elements?S Block Elements
Q2045What is the mass ratio of ethylene glycol (C₂H₆O₂, molar mass = 62 g/mol) required for making 500 g of 0.25 molal aqueous solution and 250 mL of 0.25 molar…Some Basic Concepts in Chemistry

Mathematics

Q27If the shortest distance between the line joining the points (1, 2, 3) and (2, 3, 4), and the line (x - 1)/2 = (y + 1)/(- 1) = (z - 2)/0 is α, then 28 α² is…Three Dimensional Geometry
Q29The remainder when (2023) ²⁰²³ is divided by 35 is _ _ _ _ _.Binomial Theorem and Its Simple Applications
Q30Points P(- 3, 2), Q(9, 10) and R(α,4) lie on a circle C and PR as its diameter. The tangents to C at the points Q and R intersect at the point S. If S lies on…Coordinate Geometry
Q33If ∫ 1/3 ³ | log e x|dx = m/n log e ((n²)/e), where m and n are coprime natural numbers, then m² + n² - 5 is equal to _ _ _ _ _ _ _.Integral Calculus
Q44A triangle is formed by X-axis, Y-axis and the line 3x+4y=60. Then the number of points P(a, b) which lie strictly inside the triangle, where a is an integer…Permutations and Combinations
Q4925% of the population are smokers. A smoker has 27 times more chances to develop lung cancer than a non smoker. A person is diagnosed with lung cancer and the…Statistics and Probability
Q50Let α and let α,β be the roots of the equation x² + 60^(1/4)x + a = 0. If α ⁴ + β ⁴ = - 30, then the product of all possible values of a is _ _ _ _ _ _.Complex Numbers and Quadratic Equations
Q51For the two positive numbers a,b, if a,b and 1/18 are in a geometric progression, while 1/a,10 and 1/b are in an arithmetic progression, then 16a+12b is equal…Sequence and Series
Q2511The foot of perpendicular of the point (2, 0, 5) on the line (x + 1)/2 = (y - 1)/5 = (z + 1)/(- 1) is (α,β,γ). Then, which of the following is NOT correct?Three Dimensional Geometry
Q2512The shortest distance between the lines x+1=2y=-12z and x=y+2=6z-6 is:Three Dimensional Geometry
Q2676Let the function f(x) = 2x³ + (2p - 7)x² + 3(2p - 9)x - 6 have a maxima for some value of x < 0 and a minima for some value of x > 0. Then, the set of all…Limit, Continuity and Differentiability
Q3268Let z be a complex number such that | (z - 2i)/(z + i) | = 2,z ≠ - i. Then z lies on the circle of radius 2 and centre:Complex Numbers and Quadratic Equations
Q3456The integral 16∫₁² dx/(x³(x² + 2)²) is equal toIntegral Calculus
Q3556Let y=y(t) be a solution of the differential equation dy/dt + α y = γ e^(- β t) where, α > 0,β > 0 and γ > 0. Then lim t → ∞ y(t)Differential Equations
Q3809The number of functions f: 1,2,3,4 → a Z|a| ≤ 8 satisfying f(n) + 1/nf(n + 1) = 1, n 1,2,3 isSets, Relations and Functions
Q3875Let f:R be a function defined by f(x) = log m 2 (sin x - cos x) + m - 2, for some m, such that the range of f is [0, 2]. Then the value of m is _ _ _ _ _Sets, Relations and Functions
Q3876Let f(x) = 2xⁿ + λ,λ R,n N, and f(4) = 133,f(5) = 255. Then the sum of all the positive integer divisors of (f(3) - f(2)) isSets, Relations and Functions
Q3946Let T and C respectively be the transverse and conjugate axes of the hyperbola 16x² - y² + 64x + 4y + 44 = 0. Then the area of the region above the parabola…Coordinate Geometry
Q4159If the function f(x) = \ (1 + | cos x|)^(λ)/(| cos x|), 0 < x < (π)/2 μ, x = (π)/2 e^((cot 6x)/(cot 4x)), (π)/2 < x < π. is continuous at x = (π)/2, then 9λ +…Limit, Continuity and Differentiability
Q4384Let Δ,, be such that (p → q)Δ (p q) is a tautology. ThenMathematical Reasoning
Q4483Let A = [ 1/(√(10)) 3/(√(10)) (- 3)/(√(10)) 1/(√(10)) ] and B = [ 1 - i 0 1 ], where i = √(- 1). If M=A^(T) B A, then the inverse of the matrix AM²⁰²³A^(T) isMatrices and Determinants
Q4649Let A, B, C be 3 × 3 matrices such that A is symmetric and B and C are skew-symmetric. Consider the statements (S1) A ¹³ B ²⁶ - B ²⁶ A ¹³ is symmetric (S2) A…Matrices and Determinants
Q4701The equations of two sides of a variable triangle are x=0 and y=3, and its third side is a tangent to the parabola y²=6x. The locus of its circumcentre is:Coordinate Geometry
Q4798The number of numbers, strictly between 5000 and 10000 can be formed using the digits 1, 3, 5, 7, 9 without repetition, is:Permutations and Combinations
Q4831Σ k = 0 ⁶ ^(51 - k)C₃ is equal to:Permutations and Combinations
Q4923Let N be the sum of the numbers appeared when two fair dice are rolled and let the probability that N-2,√(3N),N+2 are in geometric progression be k/48. Then…Statistics and Probability
Q5743Let a = - i - j + k, a. b = 1 and a × b = i - j. Then a - 6 b is equal to:Vector Algebra
Q5744If the four points, whose position vectors are 3 i - 4 j + 2 k, i + 2 j - k, - 2 i - j + 3 k and 5 i - 2α j + 4 k are coplanar, then α is equal to:Vector Algebra