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JEE Main 2023 6 Apr Evening shift Question Paper with Solutions | JEE Arc

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JEE Main 20236 Apr, Evening shift

Physics 25Chemistry 22Mathematics 29

Physics

Q54Experimentally it is found that 12.8 ~eV energy is required to separate a hydrogen atom into a proton and an electron. So the orbital radius of the electron…Atoms and Nuclei
Q58Two concentric circular coils with radii 1 ~cm and 1000 ~cm, and number of turns 10 and 200 respectively are placed coaxially with centers coinciding. The…Electromagnetic Induction and Alternating Currents
Q69A proton with a kinetic energy of 2.0 ~eV moves into a region of uniform magnetic field of magnitude (π)/2 × 10⁻³ ~T. The angle between the direction of…Magnetic Effects of Current and Magnetism
Q71A metal block of mass m is suspended from a rigid support through a metal wire of diameter 14 ~mm. The tensile stress developed in the wire under equilibrium…Properties of Solids and Liquids
Q73A ring and a solid sphere rotating about an axis passing through their centers have same radii of gyration. The axis of rotation is perpendicular to plane of…Rotational Motion
Q74A simple pendulum with length 100 ~cm and bob of mass 250 ~g is executing S.H.M. of amplitude 10 ~cm. The maximum tension in the string is found to be x/40…Oscillations and Waves
Q75A beam of light consisting of two wavelengths 7000~ A^(o) and 5500~ A^(o) is used to obtain interference pattern in Young's double slit experiment. The…Optics
Q76A body is dropped on ground from a height ' h₁ ' and after hitting the ground, it rebounds to a height ' h₂ '. If the ratio of velocities of the body just…Work, Energy and Power
Q5921A capacitor of capacitance 150.0 ~μ F is connected to an alternating source of emf given by E=36 sin (120 π t) V. The maximum value of current in the circuit…Electromagnetic Induction and Alternating Currents
Q6021A small particle of mass m moves in such a way that its potential energy U=1/2 m ~ω² r² where ω is constant and r is the distance of the particle from origin…Atoms and Nuclei
Q6290A child of mass 5 ~kg is going round a merry-go-round that makes 1 rotation in 3.14 ~s. The radius of the merry-go-round is 2 ~m. The centrifugal force on the…Kinematics
Q6378For an amplitude modulated wave the minimum amplitude is 3 ~V, while the modulation index is 60%. The maximum amplitude of the modulated wave is:Communication Systems
Q6663The work functions of Aluminium and Gold are 4.1 ~eV and and 5.1 ~eV respectively. The ratio of the slope of the stopping potential versus frequency plot for…Dual Nature of Matter and Radiation
Q6817The energy density associated with electric field E and magnetic field B of an electromagnetic wave in free space is given by (ε₀-. permittivity of free…Electromagnetic Waves
Q6887Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: Diffusion current in a p-n junction is…Electronic Devices
Q6950A dipole comprises of two charged particles of identical magnitude q and opposite in nature. The mass 'm' of the positive charged particle is half of the mass…Electrostatics
Q7052A 2 meter long scale with least count of 0.2 ~cm is used to measure the locations of objects on an optical bench. While measuring the focal length of a convex…Optics
Q7125Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: The phase difference of two light waves…Optics
Q7168The weight of a body on the surface of the earth is 100 ~N. The gravitational force on it when taken at a height, from the surface of earth, equal to…Gravitation
Q7217Choose the incorrect statement from the following:Gravitation
Q7347A body cools in 7 minutes from 60^(°) C to 40^(°) C. The temperature of the surrounding is 10^(°) C. The temperature of the body after the next 7 minutes will…Thermodynamics
Q7424The temperature of an ideal gas is increased from 200 ~K to 800 ~K. If r.m.s. speed of gas at 200 ~K is v₀. Then, r.m.s. speed of the gas at 800 ~K will be:Kinetic Theory of Gases
Q7425The ratio of speed of sound in hydrogen gas to the speed of sound in oxygen gas at the same temperature is:Thermodynamics
Q7850A particle starts with an initial velocity of 10.0 ~ms⁻¹ along x -direction and accelerates uniformly at the rate of 2.0 ~ms⁻². The time taken by the particle…Kinematics
Q7998Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: When you squeeze one end of a tube to get…Properties of Solids and Liquids

Chemistry

Q1Among the following, the number of compounds which will give positive iodoform reaction is _ _ _ _ _ (a) 1-Phenylbutan-2-one (b) 2-Methylbutan-2-ol (c)…Organic Compounds Containing Oxygen
Q3The number of species having a square planar shape from the following is _ _ _ _ _. XeF₄, SF₄, SiF₄, BF₄⁻, BrF₄⁻,[Cu(NH₃)₄]²⁺,[FeCl₄]²⁻,[PtCl₄]²⁻Chemical Bonding and Molecular Structure
Q4In an ice crystal, each water molecule is hydrogen bonded to _ _ _ _ _ _ neighbouring molecules.Chemical Bonding and Molecular Structure
Q5The equilibrium composition for the reaction PCl₃+Cl₂ PCl₅ at 298 ~K is given below: [PCl₃] eq =0.2 ~mol ~L⁻¹,[Cl₂] eq =0.1 ~mol ~L⁻¹,[PCl₅] eq =0.40 ~mol…Equilibrium
Q6Number of isomeric aromatic amines with molecular formula C₈ H₁₁ ~N, which can be synthesized by Gabriel Phthalimide synthesis is _ _ _ _ _ _.Organic Compounds Containing Nitrogen
Q11The standard reduction potentials at 298 ~K for the following half cells are given below: NO₃⁻+4 H⁺+3 e⁻ → NO(g)+2 H₂ O E^(θ)=0.97 ~V V²⁺(aq)+2 e⁻ → V…Redox Reactions and Electrochemistry
Q17Number of crystal systems from the following where body centred unit cell can be found, is _ _ _ _ _ _. Cubic, tetragonal, orthorhombic, hexagonal…Solid State
Q18Consider the following pairs of solution which will be isotonic at the same temperature. The number of pairs of solutions is / are _ _ _ _ _ _. A. 1 ~M aq…Solutions
Q21The number of colloidal systems from the following, which will have 'liquid' as the dispersion medium, is _ _ _ _ _ _. Gem stones, paints, smoke, cheese…Surface Chemistry
Q22Consider the following data Heat of combustion of H₂(g) =-241.8 ~kJ ~mol⁻¹ Heat of combustion of C(s) =-393.5 ~kJ ~mol⁻¹ Heat of combustion of C₂ H₅ OH(l)…Chemical Thermodynamics
Q245Match List I with List II LIST I Natural Amino Acid LIST II One Letter Code A. Arginine I. D B. Aspartic acid II. N C. Asparagine III. A D. Alanine IV. R…Biomolecules
Q702The IUPAC name of K₃[Co(C₂ O₄)₃] is:-Coordination Compounds
Q789Element not present in Nessler's reagent is:d- and f-Block Elements
Q898Given below are two statements: one is labelled as "Assertion A" and the other is labelled as "Reason R" Assertion A: In the complex Ni(CO)₄ and Fe(CO)₅, the…d- and f-Block Elements
Q899During the reaction of permanganate with thiosulphate, the change in oxidation of manganese occurs by value of 3. Identify which of the below medium will…d- and f-Block Elements
Q1641Group-13 elements react with O₂ in amorphous form to form oxides of type M₂ O₃~(M= element). Which among the following is the most basic oxide?Classification of Elements and Periodicity in Properties
Q1660Which one of the following elements will remain as liquid inside pure boiling water?Classification of Elements and Periodicity in Properties
Q1762Formation of which complex, among the following, is not a confirmatory test of Pb²⁺ ions:Principles Related to Practical Chemistry
Q1840The product, which is not obtained during the electrolysis of brine solution is:S Block Elements
Q1906Ion having highest hydration enthalpy among the given alkaline earth metal ions is:S Block Elements
Q2049The volume of 0.02 ~M aqueous HBr required to neutralize 10.0 ~mL of 0.01 ~M aqueous Ba(OH)₂ is (Assume complete neutralization)Some Basic Concepts in Chemistry
Q2186If the radius of the first orbit of hydrogen atom is α₀, then de Broglie's wavelength of electron in 3^(rd) orbit is:Atomic Structure

Mathematics

Q24If the lines (x-1)/2=(2-y)/(-3)=(z-3)/(α) and (x-4)/5=(y-1)/2=z/(β) intersect, then the magnitude of the minimum value of 8 α β is _ _ _ _ _ _ _.Three Dimensional Geometry
Q26The number of points, where the curve y=x⁵-20 x³+50 x+2 crosses the x -axis, is _ _ _ _ _ _.Limit, Continuity and Differentiability
Q27Let a curve y=f(x), x (0, ∞) pass through the points P(1, 3/2) and Q(a, 1/2). If the tangent at any point R(b, f(b)) to the given curve cuts the y -axis at…Limit, Continuity and Differentiability
Q33For α, β, z C and λ > 1, if √(λ-1) is the radius of the circle |z-α|²+|z-β|²=2 λ, then |α-β| is equal to _ _ _ _ _.Complex Numbers and Quadratic Equations
Q34Let f(x)=x/((1+xⁿ)^(1/n)), x R-\-1 n N, n > 2. If fⁿ(x)=(f° f° f... upto n times) (x), then lim n → ∞ ∫₀¹ xⁿ⁻²(fⁿ(x)) d x is equal to _ _ _ _ _ _.Integral Calculus
Q39Let the eccentricity of an ellipse (x²)/(a²)+(y²)/(b²)=1 is reciprocal to that of the hyperbola 2 x²-2 y²=1. If the ellipse intersects the hyperbola at right…Coordinate Geometry
Q43The number of 4-letter words, with or without meaning, each consisting of 2 vowels and 2 consonants, which can be formed from the letters of the word UNIVERSE…Permutations and Combinations
Q46If (20)¹⁹+2(21)(20)¹⁸+3(21)²(20)¹⁷+ +20(21)¹⁹=k(20)¹⁹, then k is equal to _ _ _ _ _ _.Sequence and Series
Q48If the mean and variance of the frequency distribution x i | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 f i | 4 | 4 | α | 15 | 8 | β | 4 | 5 are 9 and 15.08…Statistics and Probability
Q49The value of tan 9^(°)- tan 27^(°)- tan 63^(°)+ tan 81^(°) is _ _ _ _ _.Trigonometry
Q2473Let the line L pass through the point (0,1,2), intersect the line (x-1)/2=(y-2)/3=(z-3)/4 and be parallel to the plane 2 x+y-3 z=4. Then the distance of the…Three Dimensional Geometry
Q2616A plane P contains the line of intersection of the plane r ·(i+j+k)=6 and r ·(2 i+3 j+4 k)=-5. If P passes through the point (0,2,-2), then the square of…Three Dimensional Geometry
Q2864The area bounded by the curves y=|x-1|+|x-2| and y=3 is equal to:Integral Calculus
Q2902Among the statements: (S1): 2023²⁰²²-1999²⁰²² is divisible by 8 (S2): 13(13)ⁿ-12 n-13 is divisible by 144 for infinitely many n NBinomial Theorem and Its Simple Applications
Q2947If the coefficient of x⁷ in (a x² + 1/2bx)¹¹ and x⁻⁷ in (ax - 1 3b x²)¹¹ are equal, then:Binomial Theorem and Its Simple Applications
Q3142If the tangents at the points P and Q on the circle x²+y²-2 x+y=5 meet at the point R(9/4, 2), then the area of the triangle PQR is:Coordinate Geometry
Q3164Let a ≠ b be two non-zero real numbers. Then the number of elements in the set X= C: Re(a z²+b z)=a. and.Re(b z²+a z)=b is equal to:Complex Numbers and Quadratic Equations
Q3466Let f(x) be a function satisfying f(x)+f(π-x)=π², x R. Then ∫₀^(π) f(x) sin x d x is equal to:Integral Calculus
Q3640If the solution curve f(x, y)=0 of the differential equation (1+ log e x) (d x)/(d y)-x log e x=e^(y), x > 0, passes through the points (1,0) and (α, 2), then…Differential Equations
Q3766In a group of 100 persons 75 speak English and 40 speak Hindi. Each person speaks at least one of the two languages. If the number of persons, who speak only…Coordinate Geometry
Q3895Let the sets A and B denote the domain and range respectively of the function f(x)=1/(√(x -x)), where x denotes the smallest integer greater than or equal to…Sets, Relations and Functions
Q4398Among the statements (S1): (p ⇒ q) ((p) q) is a tautology (S2): (q ⇒ p) ⇒((p) q) is a contradictionMathematical Reasoning
Q4511Let P be a square matrix such that P²=I-P. For α, β, γ, δ N, if P^(α)+P^(β)=γ I-29 P and P^(α)-P^(β)=δ I-13 P, then α+β+γ-δ is equal to:Matrices and Determinants
Q4630For the system of equations x+y+z=6 x+2 y+α z=10 x+3 y+5 z=β, which one of the following is NOT true?Matrices and Determinants
Q4853All the letters of the word PUBLIC are written in all possible orders and these words are written as in a dictionary with serial numbers. Then the serial…Permutations and Combinations
Q4929Three dice are rolled. If the probability of getting different numbers on the three dice is p/q, where p and q are co-prime, then q-p is equal to:Statistics and Probability
Q5346If gcd~(m, n)=1 and 1²-2²+3²-4²+..+(2021)²-(2022)²+(2023)²=1012 ~m² n then m²-n² is equal to:Sequence and Series
Q5753Let the vectors a, b, c represent three coterminous edges of a parallelopiped of volume V. Then the volume of the parallelopiped, whose coterminous edges are…Vector Algebra
Q5754The sum of all values of α, for which the points whose position vectors are i-2 j+3 k, 2 i-3 j+4 k,(α+1) i+2 k and 9 i+(α-8) j+6 k are coplanar, is equal to:Vector Algebra