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JEE Main 2023 8 Apr Evening shift Question Paper with Solutions | JEE Arc

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JEE Main 20238 Apr, Evening shift

Physics 25Chemistry 22Mathematics 30

Physics

Q53A series combination of resistor of resistance 100 ~Ω, inductor of inductance 1 ~H and capacitor of capacitance 6.25 ~μ F is connected to an ac source. The…Electromagnetic Induction and Alternating Currents
Q55The ratio of wavelength of spectral lines H α and H β in the Balmer series is x/20. The value of x is _ _ _ _ _.Atoms and Nuclei
Q57A 600 ~pF capacitor is charged by 200 ~V supply. It is then disconnected from the supply and is connected to another uncharged 600 ~pF capacitor…Electrostatics
Q59The number density of free electrons in copper is nearly 8 × 10²⁸ ~m⁻³. A copper wire has its area of cross section =2 × 10⁻⁶ ~m² and is carrying a current of…Current Electricity
Q63Two transparent media having refractive indices 1.0 and 1.5 are separated by a spherical refracting surface of radius of curvature 30 ~cm. The centre of…Optics
Q67A steel rod of length 1 ~m and cross sectional area 10⁻⁴ ~m² is heated from 0^(°) C to 200^(°) C without being allowed to extend or bend. The compressive…Thermodynamics
Q69The ratio of magnetic field at the centre of a current carrying coil of radius r to the magnetic field at distance r from the centre of coil on its axis is…Magnetic Effects of Current and Magnetism
Q75A guitar string of length 90 cm vibrates with a fundamental frequency of 120 Hz. The length of the string producing a fundamental frequency of 180 Hz will be…Oscillations and Waves
Q76A body of mass 5 ~kg is moving with a momentum of 10 ~kg ~ms⁻¹. Now a force of 2 ~N acts on the body in the direction of its motion for 5 ~s. The increase in…Work, Energy and Power
Q5962The waves emitted when a metal target is bombarded with high energy electrons areAtoms and Nuclei
Q6137A radio active material is reduced to 1 / 8 of its original amount in 3 days. If 8 × 10⁻³ ~kg of the material is left after 5 days the initial amount of the…Atoms and Nuclei
Q6332The power radiated from a linear antenna of length l is proportional to (Given, λ= Wavelength of wave):Communication Systems
Q6662In photo electric effect A. The photocurrent is proportional to the intensity of the incident radiation B. Maximum Kinetic energy with which photoelectrons…Dual Nature of Matter and Radiation
Q6726An emf of 0.08 ~V is induced in a metal rod of length 10 ~cm held normal to a uniform magnetic field of 0.4 ~T, when moves with a velocity of:Electromagnetic Induction and Alternating Currents
Q7022Electric potential at a point ' P ' due to a point charge of 5 × 10⁻⁹ C is 50 ~V. The distance of ' P ' from the point charge is: (Assume, 1/(4 π ε₀)=9 × 10⁺⁹…Electrostatics
Q7166The acceleration due to gravity at height h above the earth if h << R (Radius of earth) is given byGravitation
Q7214The orbital angular momentum of a satellite is L, when it is revolving in a circular orbit at height h from earth surface. If the distance of satellite from…Gravitation
Q7422The temperature at which the kinetic energy of oxygen molecules becomes double than its value at 27^(°) C isThermodynamics
Q7654Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: Electromagnets are made of soft iron. Reason…Magnetic Effects of Current and Magnetism
Q7804The trajectory of projectile, projected from the ground is given by y=x-(x²)/20. Where x and y are measured in meter. The maximum height attained by the…Kinematics
Q7826Given below are two statements Statement I: Area under velocity- time graph gives the distance travelled by the body in a given time. Statement II: Area under…Kinematics
Q7918A hydraulic automobile lift is designed to lift vehicles of mass 5000 ~kg. The area of cross section of the cylinder carrying the load is 250 ~cm². The…Properties of Solids and Liquids
Q8349Match List I with List II LIST I LIST II A. Torque I. ML⁻²T⁻² B. Stress II. ML²T⁻² C. Pressure gradient III. ML⁻¹T⁻¹ D. Coefficient of viscosity IV. ML⁻¹T⁻²…Units and Measurements
Q8452The width of fringe is 2 ~mm on the screen in a double slits experiment for the light of wavelength of 400 ~nm. The width of the fringe for the light of…Optics
Q8624A bullet of mass 0.1 ~kg moving horizontally with speed 400 ~ms⁻¹ hits a wooden block of mass 3.9 ~kg kept on a horizontal rough surface. The bullet gets…Work, Energy and Power

Chemistry

Q3The number of species from the following carrying a single lone pair on central atom Xenon is _ _ _ _ _ _. XeF₅⁺, XeO₃, XeO₂ ~F₂, XeF₅⁻, XeO₃ ~F₂, XeOF₄, XeF₄Chemical Bonding and Molecular Structure
Q5The observed magnetic moment of the complex.[Mn(N C S)₆)]ˣ⁻ is 6.06 ~BM. The numerical value of x is _ _ _ _ _.Coordination Compounds
Q6The number of incorrect statements from the following is _ _ _ _ _ _. A. The electrical work that a reaction can perform at constant pressure and temperature…Redox Reactions and Electrochemistry
Q10The solubility product of BaSO₄ is 1 × 10⁻¹⁰ at 298 ~K. The solubility of BaSO₄ in 0.1 ~M ~K₂ SO₄(aq) solution is _ _ _ _ _ _ × 10⁻⁹ ~g ~L⁻¹ (nearest…Equilibrium
Q14The sum of oxidation state of the metals in Fe(CO)₅, VO²⁺ and WO₃ is _ _ _ _ _ _.Redox Reactions and Electrochemistry
Q18If the boiling points of two solvents X and Y (having same molecular weights) are in the ratio 2: 1 and their enthalpy of vaporizations are in the ratio 1: 2…Solutions
Q20The number of atomic orbitals from the following having 5 radial nodes is _ _ _ _ _ _. 7 s, 7 p, 6 s, 8 p, 8 dAtomic Structure
Q21Coagulating value of the electrolytes AlCl₃ and NaCl for As₂ S₃ are 0.09 and 50.04 respectively. The coagulating power of AlCl₃ is x times the coagulating…Surface Chemistry
Q22For complete combustion of ethene. C₂ H₄(g)+3 O₂(g) → 2 CO₂(g)+2 H₂ O(l) the amount of heat produced as measured in bomb calorimeter is 1406 ~kJ ~mol⁻¹ at 300…Chemical Thermodynamics
Q75The descending order of acidity for the following carboxylic acid is- A. CH₃ COOH B. F₃ C-COOH C. ClCH₂-COOH D. FCH₂-COOH E. BrCH₂-COOH Choose the correct…Some Basic Principles of Organic Chemistry
Q244Match List I with List II LIST I Natural amino acid LIST II One letter code A. Glutamic acid I. Q B. Glutamine II. W C. Tyrosine III. E D. Tryptophan IV. Y…Biomolecules
Q645Match List I with List II LIST I Coordination Complex LIST II Number of unpaired electrons A. [Cr(CN)₆]³⁻ I. 0 B. [Fe(H₂ O)₆]²⁺ II. 3 C. [Co(NH₃)₆]³⁺ III. 2…Coordination Compounds
Q1051Which of these reactions is not a part of breakdown of ozone in stratosphere?Environmental Chemistry
Q1132Arrange the following gases in increasing order of van der Waals constant 'a' A. Ar B. CH₄ C. H₂ O D. C₆ H₆ Choose the correct option from the following.Gaseous State
Q1236Which of the following can reduce decomposition of H₂ O₂ on exposure to light:Hydrogen
Q1408In Hall - Heroult process, the following is used for reducing Al₂ O₃:-Isolation of Elements
Q1741Given below are two statements: Statement I: Methyl orange is a weak acid. Statement II: The benzenoid form of methyl orange is more intense/deeply coloured…Principles Related to Practical Chemistry
Q1760A compound ' X ' when treated with phthalic anhydride in presence of concentrated H₂ SO₄ yields ' Y '. ' Y ' is used as an acid/base indicator. ' X ' and ' Y…Principles Related to Practical Chemistry
Q1814Given below are two statements: Statement I: In redox titration, the indicators used are sensitive to change in pH of the solution. Statement II: In acid-base…Redox Reactions and Electrochemistry
Q1841For a good quality cement, the ratio of lime to the total of the oxides of Si, Al and Fe should be as close as to:S Block Elements
Q1867Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Sodium is about 30 times as abundant as…S Block Elements
Q2107Which of the following have same number of significant figures? A. 0.00253 B. 1.0003 C. 15.0 D. 163 Choose the correct answer from the options given belowSome Basic Concepts in Chemistry

Mathematics

Q25Let P₁ be the plane 3 x-y-7 z=11 and P₂ be the plane passing through the points (2,-1,0),(2,0,-1), and (5,1,1). If the foot of the perpendicular drawn from…Three Dimensional Geometry
Q26Let the area enclosed by the lines x+y=2, y=0, x=0 and the curve f(x)= min ²+3/4, 1+[x] where [x] denotes the greatest integer ≤ x, be A. Then the value of 12…Integral Calculus
Q31Let [t] denote the greatest integer function. If ∫₀^(2.4)[x²] d x=α+β √(2)+γ √(3)+δ √(5), then α+β+γ+δ is equal to _ _ _ _ _.Integral Calculus
Q32Let the solution curve x=x(y), 0 < y < (π)/2, of the differential equation (log e (cos y))² cos y ~d x-(1+3 x log e (cos y)) sin y d y=0 satisfy x((π)/3)=1/(2…Differential Equations
Q33Let R=, b, c, d, e and S=\1,2,3,4. Total number of onto functions f: R → S such that f(a) ≠ 1, is equal to _ _ _ _ _ _ _.Sets, Relations and Functions
Q34If domain of the function log e ((6 x²+5 x+1)/(2 x-1))+ cos ⁻¹((2 x²-3 x+4)/(3 x-5)) is (α, β) (γ, δ], then 18(α²+β²+γ²+δ²) is equal to _ _ _ _ _ _ _.Sets, Relations and Functions
Q36Let k and m be positive real numbers such that the function f(x)=\ cc3 x²+k √(x+1), 0 < x < 1 m x²+k², x ≥ 1. is differentiable for all x > 0. Then (8…Limit, Continuity and Differentiability
Q41The ordinates of the points P and Q on the parabola with focus (3,0) and directrix x=-3 are in the ratio 3: 1. If R(α, β) is the point of intersection of the…Coordinate Geometry
Q45Let m and n be the numbers of real roots of the quadratic equations x²-12 x+[x]+31=0 and x²-5|x+2|-4=0 respectively, where [x] denotes the greatest integer ≤…Complex Numbers and Quadratic Equations
Q46Let 0 < z < y < x be three real numbers such that 1/x, 1/y, 1/z are in an arithmetic progression and x, √(2) y, z are in a geometric progression. If x y+y z+z…Sequence and Series
Q2470For a, b Z and |a-b| ≤ 10, let the angle between the plane P: ax+y-z=b and the line l: x-1=a-y=z+1 be cos ⁻¹(1/3). If the distance of the point (6,-6,4) from…Three Dimensional Geometry
Q2471Let P be the plane passing through the line (x-1)/1=(y-2)/(-3)=(z+5)/7 and the point (2,4,-3). If the image of the point (-1,3,4) in the plane P is (α, β, γ)…Three Dimensional Geometry
Q290125¹⁹⁰-19¹⁹⁰-8¹⁹⁰+2¹⁹⁰ is divisible by:Binomial Theorem and Its Simple Applications
Q2945The absolute difference of the coefficients of x¹⁰ and x⁷ in the expansion of (2 x²+1/(2 x))¹¹ is equal to:Binomial Theorem and Its Simple Applications
Q3141Let O be the origin and OP and OQ be the tangents to the circle x²+y²-6x+4y+8=0 at the points P and Q on it. If the circumcircle of the triangle OPQ passes…Coordinate Geometry
Q3163Let A=\θ (0,2 π): (1+2 i sin θ)/(1-i sin θ). is purely imaginary. Then the sum of the elements in A is:Complex Numbers and Quadratic Equations
Q4056The integral ∫[(x/2)ˣ+(2/x)ˣ] ln ((e x)/2) d x is equal to:Integral Calculus
Q4299If α > β > 0 are the roots of the equation a x²+b x+1=0, and lim x → 1/(α) ((1- cos (x²+b x+a))/(2(1-α x)²))^(1/2)=1/k(1/(β)-1/(α)), then k is equal to:Limit, Continuity and Differentiability
Q4395The negation of (p (q)) (p) is equivalent to:Mathematical Reasoning
Q4485If A=[ cc1 5 λ 10 ], A⁻¹=α A+β I and α+β=-2, then 4 α²+β²+λ² is equal to:Matrices and Determinants
Q4628Let S be the set of all values of θ [-π, π] for which the system of linear equations x+y+√(3) z=0 -x+(tan θ) y+√(7) z=0 x+y+(tan θ) z=0 has non-trivial…Matrices and Determinants
Q4758Let A(0,1), B(1,1) and C(1,0) be the mid-points of the sides of a triangle with incentre at the point D. If the focus of the parabola y²=4 ax passing through…Coordinate Geometry
Q4801If the number of words, with or without meaning, which can be made using all the letters of the word MATHEMATICS in which C and S do not come together, is (6…Permutations and Combinations
Q5006If the probability that the random variable X takes values x is given by P(X=x)=k(x+1) 3⁻ˣ, x=0,1,2,3,, where k is a constant, then P(X ≥ 2) is equal to:Statistics and Probability
Q5344Let a n be the n^(th) term of the series 5+8+14+23+35+50+ and S n =Σ k=1 ⁿ a k. Then S₃₀-a₄₀ is equal to:Sequence and Series
Q5391Let A=\1,2,3,4,5,6,7. Then the relation R=\(x, y) A × A: x+y=7 is:Sets, Relations and Functions
Q5487Let the mean and variance of 12 observations be 9/2 and 4 respectively. Later on, it was observed that two observations were considered as 9 and 10 instead of…Statistics and Probability
Q5674The value of 36(4 cos ² 9^(°)-1)(4 cos ² 27^(°)-1)(4 cos ² 81^(°)-1)(4 cos ² 243^(°)-1) is:Trigonometry
Q5751Let the vectors u₁=i+j+a k, u₂=i+b j+k and u₃=c i+j+k be coplanar. If the vectors v₁=(a+b) i+c j+c k, v₂=a i+(b+c) j+a k and v₃=b i+b j+(c+a) k are also…Vector Algebra
Q5842The area of the quadrilateral ABCD with vertices A(2,1,1), B(1,2,5), C(-2,-3,5) and D(1,-6,-7) is equal to:Vector Algebra