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JEE Main 2023 1 Feb Evening shift Question Paper with Solutions | JEE Arc

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JEE Main 20231 Feb, Evening shift

Physics 22Chemistry 19Mathematics 30

Physics

Q50A square shaped coil of area 70 ~cm² having 600 turns rotates in a magnetic field of 0.4 ~wbm⁻², about an axis which is parallel to one of the side of the…Electromagnetic Induction and Alternating Currents
Q52Nucleus A having Z=17 and equal number of protons and neutrons has 1.2 ~MeV binding energy per nucleon. Another nucleus B of Z=12 has total 26 nucleons and…Atoms and Nuclei
Q61A cubical volume is bounded by the surfaces x=0, x=a, y=0, y=a, z=0, z=a. The electric field in the region is given by E=E₀ x i. Where E₀=4 × 10⁴ ~NC⁻¹ ~m⁻¹…Electrostatics
Q65For a train engine moving with speed of 20 ~ms⁻¹, the driver must apply brakes at a distance of 500 m before the station for the train to come to rest at the…Kinematics
Q66The surface of water in a water tank of cross section area 750 ~cm² on the top of a house is h ~m above the tap level. The speed of water coming out through…Properties of Solids and Liquids
Q68Moment of inertia of a disc of mass ' M ' and radius ' R ' about any of its diameter is (M R²)/4. The moment of inertia of this disc about an axis normal to…Rotational Motion
Q70A block is fastened to a horizontal spring. The block is pulled to a distance x=10 ~cm from its equilibrium position (at x=0) on a frictionless surface from…Work, Energy and Power
Q71A force F=(5+3 y²) acts on a particle in the y -direction, where F is in newton and y is in meter. The work done by the force during a displacement from y=2…Work, Energy and Power
Q6015An electron of a hydrogen like atom, having Z=4, jumps from 4^(th) energy state to 2^(nd) energy state. The energy released in this process, will be: (Given…Atoms and Nuclei
Q6143Given below are two statements: One is labeled as Assertion A and the other is labeled as Reason R. Assertion A: Two metallic spheres are charged to the same…Electrostatics
Q6368In an amplitude modulation, a modulating signal having amplitude of X Volt is superimposed with a carrier signal of amplitude Y Volt in first case. Then, in…Communication Systems
Q6387Equivalent resistance between the adjacent corners of a regular n-sided polygon of uniform wire of resistance R would be:Current Electricity
Q6474Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R. Assertion A: For measuring the potential difference…Current Electricity
Q6654The threshold frequency of a metal is f₀. When the light of frequency 2 f₀ is incident on the metal plate, the maximum velocity of photoelectrons is v₁. When…Dual Nature of Matter and Radiation
Q6709A coil is placed in magnetic field such that plane of coil is perpendicular to the direction of magnetic field. The magnetic flux through a coil can be…Electromagnetic Induction and Alternating Currents
Q6802The ratio of average electric energy density and total average energy density of electromagnetic wave is:Electromagnetic Waves
Q6880Choose the correct statement about Zener diode:Electronic Devices
Q7084Two objects A and B are placed at 15 cm and 25 cm from the pole in front of a concave mirror having radius of curvature 40 cm. The distance between images…Optics
Q7154For a body projected at an angle with the horizontal from the ground, choose the correct statement.Gravitation
Q7205The escape velocities of two planets A and B are in the ratio 1: 2. If the ratio of their radii respectively is 1: 3, then the ratio of acceleration due to…Gravitation
Q7953The Young's modulus of a steel wire of length 6 ~m and cross-sectional area 3 ~mm², is 2 × 10¹¹~N / m². The wire is suspended from its support on a given…Properties of Solids and Liquids
Q8264If the velocity of light c, universal gravitational constant G and Planck's constant h are chosen as fundamental quantities. The dimensions of mass in the new…Units and Measurements

Chemistry

Q3A → B The above reaction is of zero order. Half life of this reaction is 50 ~min. The time taken for the concentration of A to reduce to one-fourth of its…Chemical Kinetics
Q5The spin only magnetic moment of [Mn(H₂ O)₆]²⁺ complexes is _ _ _ _ B.M. (Nearest integer) (Given: Atomic no. of Mn is 25)Coordination Compounds
Q7Among following compounds, the number of those present in copper matte is _ _ _ _ _ _. A. CuCO₃ B. Cu₂S C. Cu₂O D. FeOd- and f-Block Elements
Q101 × 10⁻⁵ ~M ~AgNO₃ is added to 1 ~L of saturated solution of AgBr. The conductivity of this solution at 298 ~K is _ _ _ _ _ _ _ × 10⁻⁸ ~S ~m⁻¹. [Given: K SP…Redox Reactions and Electrochemistry
Q15A metal M crystallizes into two lattices:- face centred cubic (fcc) and body centred cubic (bcc) with unit cell edge length of 2.0 and 2.5 A^(o) respectively…Solid State
Q1620% of acetic acid is dissociated when its 5 ~g is added to 500 ~mL of water. The depression in freezing point of such water is _ _ _ _ _ × 10⁻³ ^(°) C…Solutions
Q17The molality of a 10%(v / v) solution of di-bromine solution in CCl₄ (carbon tetrachloride) is ' x '. x= _ _ _ _ _ _ × 10⁻² ~M. (Nearest integer) [Given…Some Basic Concepts in Chemistry
Q190.3 ~g of ethane undergoes combustion at 27^(°) C in a bomb calorimeter. The temperature of calorimeter system (including the water) is found to rise by…Chemical Thermodynamics
Q213Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): α -halocarboxylic acid on reaction…Biomolecules
Q254O-O bond length in H₂ O₂ is X than the O-O bond length in F₂ O₂. The O-H bond length in H₂ O₂ is Y than that of the O-F bond in F₂ O₂. Choose the correct…Chemical Bonding and Molecular Structure
Q689The complex cation which has two isomers is:Coordination Compounds
Q780Which element is not present in Nessler's reagent?d- and f-Block Elements
Q890Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Cu²⁺ in water is more stable than…d- and f-Block Elements
Q949Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R) Assertion (A): An aqueous solution of KOH when used…Redox Reactions and Electrochemistry
Q1074The industrial activity held least responsible for global warming is:Environmental Chemistry
Q1232The starting material for convenient preparation of deuterated hydrogen peroxide (D₂O₂) in:Hydrogen
Q1532For electron gain enthalpies of the elements denoted as Δ eg H, the incorrect option is:p-Block Elements
Q1755Given below are two statements: Statement I: Sulphanilic acid gives esterification test for carboxyl group. Statement II: Sulphanilic acid gives red colour in…Principles Related to Practical Chemistry
Q2148Which one of the following sets of ions represents a collection of isoelectronic species? (Given: Atomic Number: F:9,Cl:17,Na=11,Mg=12,Al=13,K=19,Ca=20,Sc=21)Atomic Structure

Mathematics

Q21The point of intersection C of the plane 8 x+y+2 z=0 and the line joining the points A(-3,-6,1) and B(2,4,-3) divides the line segment AB internally in the…Three Dimensional Geometry
Q22Let α x+β y+γ z=1 be the equation of a plane passing through the point (3,-2,5) and perpendicular to the line joining the points (1,2,3) and (-2,3,5). Then…Three Dimensional Geometry
Q25Let the sixth term in the binomial expansion of (√(2^(log ₂(10 - 3ˣ))) + 5 2^((x - 2) log ₂3))^(m) in the increasing powers of 2^(x-2) log ₂ 3, be 21. If the…Binomial Theorem and Its Simple Applications
Q26If the term without x in the expansion of (x^(2/3)+(α)/(x³))²² is 7315, then |α| is equal to _ _ _ _ _ _.Binomial Theorem and Its Simple Applications
Q29If ∫₀^π (5^(cos x)(1 + cos x cos 3x + cos ²x + cos ³x cos 3x)dx)/(1 + 5^(cos x)) = (kπ)/16, then k is equal to _ _ _ _ _ _ _.Integral Calculus
Q32The line x=8 is the directrix of the ellipse E:(x²)/(a²)+(y²)/(b²)=1 with the corresponding focus (2,0). If the tangent to E at the point P in the first…Coordinate Geometry
Q39If the x -intercept of a focal chord of the parabola y²=8x+4y+4 is 3, then the length of this chord is equal to _ _ _ _ _ _.Coordinate Geometry
Q40Number of integral solutions to the equation x+y+z=21, where x ≥ 1,y≥3,z≥4, is equal to _ _ _ _ _ _.Permutations and Combinations
Q41The total number of six digit numbers, formed using the digits 4, 5, 9 only and divisible by 6, is _ _ _ _ _ _.Permutations and Combinations
Q44The sum of the common terms of the following three arithmetic progressions. 3,7,11,15,., 399, 2,5,8,11,., 359 and 2,7,12,17,., 197, is equal to _ _ _ _ _ _ _.Sequence and Series
Q2453Let the plane P pass through the intersection of the planes 2x+3y-z=2 and x+2y+3z=6, and be perpendicular to the plane 2x+y-z+1=0. If d is the distance of P…Three Dimensional Geometry
Q2673The sum of the absolute maximum and minimum values of the function f(x)=|x²-5 x+6|-3 x+2 in the interval [-1,3] is equal to:Limit, Continuity and Differentiability
Q2852The area of the region given by (x,y):xy ≤ 8,1 ≤ y ≤ x² is:Integral Calculus
Q3196Let a,b be two real numbers such that ab < 0. IF the complex number (1+ai)/(b+i) is of unit modulus and a+ib lies on the circle |z-1|=|2z|, then a possible…Complex Numbers and Quadratic Equations
Q3448The value of the integral ∫ - (π)/4 ^((π)/4) (x + (π)/4)/(2 - cos 2x)dx is:Integral Calculus
Q3552Let α x= exp (x^(β) y^(γ)) be the solution of the differential equation 2 x² y ~d y-(1-x y²) d x=0, x > 0,y(2)=√(log e 2). Then α+β-γ equals:Differential Equations
Q3691If y(x)=xˣ,x > 0, then y''(2)-2y'(2) is equal toLimit, Continuity and Differentiability
Q3871Let f:R-0,1→ R be a function such that f(x)+f(1/(1-x))=1+x. Then f(2) is equal toSets, Relations and Functions
Q3992Let P(x₀, y₀) be the point on the hyperbola 3 x²-4 y²=36, which is nearest to the line 3 x+2 y=1. Then √(2)(y₀-x₀) is equal to:Coordinate Geometry
Q4114Let S = x R:0 < x < 1 and 2 tan ⁻¹((1 - x)/(1 + x)) = cos ⁻¹((1 - x²)/(1 + x²)). If n(S) denotes the number of elements in S then:Trigonometry
Q4378Which of the following statements is a tautology?Mathematical Reasoning
Q4494If A = 1/2[ 1 3 - 3 1 ], then:Matrices and Determinants
Q4616For the system of linear equations α x+y+z=1,x+α y+z=1,x+y+α z=β, which one of the following statements is NOT correct?Matrices and Determinants
Q5024Two dice are thrown independently. Let A be the event that the number appeared on the 1^(st) die is less than the number appeared on the 2^(nd) die, B be the…Statistics and Probability
Q5076The number of integral values of k, for which one root of the equation 2x²-8x+k=0 lies in the interval (1, 2) and its other root lies in the interval (2, 3)…Complex Numbers and Quadratic Equations
Q5339The sum Σ n = 1 ^∞ (2n² + 3n + 4)/((2n)!) is equal to:Sequence and Series
Q5384Let P(S) denote the power set of S=\1,2,3,., 10. Define the relations R₁ and R₂ on P(S) as AR₁ ~B if (A B^(c)) (B A^(c))= and AR₂ ~B if A B^(c)=B A^(c), A, B…Sets, Relations and Functions
Q5476Let 9=x₁ < x₂ < < x₇ be in an A.P. with common difference d. If the standard deviation of x₁, x₂..., x₇ is 4 and the mean is x, then x+x₆ is equal to:Statistics and Probability
Q5779Let a=5 i-j-3 k and b=i+3 j+5 k be two vectors. Then which one of the following statements is TRUE ?Vector Algebra
Q5780Let a=2 i-7 j+5 k, b=i+k and c=i+2 j-3 k be three given vectors. If r is a vector such that r × a=c × a and r · b=0, then |r| is equal to:Vector Algebra