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JEE Main 2023 11 Apr Evening shift Question Paper with Solutions | JEE Arc

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JEE Main 202311 Apr, Evening shift

Physics 25Chemistry 22Mathematics 30

Physics

Q53A coil has an inductance of 2 H and resistance of 4 ~Ω. A 10 ~V is applied across the coil. The energy stored in the magnetic field after the current has…Electromagnetic Induction and Alternating Currents
Q55A nucleus disintegrates into two nuclear parts, in such a way that ratio of their nuclear sizes is 1: 2^(1 / 3). Their respective speed have a ratio of n: 1…Atoms and Nuclei
Q58Two identical cells each of emf 1.5 ~V are connected in series across a 10 ~Ω resistance. An ideal voltmeter connected across 10 ~Ω resistance reads 1.5 ~V…Current Electricity
Q70A wire of density 8 × 10³ ~kg / m³ is stretched between two clamps 0.5 ~m apart. The extension developed in the wire is 3.2 × 10⁻⁴ ~m. If Y=8 × 10¹⁰ ~N / m²…Properties of Solids and Liquids
Q72The surface tension of soap solution is 3.5 × 10⁻² ~Nm⁻¹. The amount of work done required to increase the radius of soap bubble from 10 ~cm to 20 ~cm is _ _…Properties of Solids and Liquids
Q73A circular plate is rotating in horizontal plane, about an axis passing through its center and perpendicular to the plate, with an angular velocity ω. A…Rotational Motion
Q77A block of mass 5 ~kg starting from rest pulled up on a smooth incline plane making an angle of 30^(°) with horizontal with an affective acceleration of 1…Work, Energy and Power
Q5961The energy of He⁺ ion in its first excited state is, (The ground state energy for the Hydrogen atom is -13.6 ~eV):Atoms and Nuclei
Q6190A capacitor of capacitance C is charged to a potential V. The flux of the electric field through a closed surface enclosing the positive plate of the…Electrostatics
Q6330In satellite communication, the uplink frequency band used is:Communication Systems
Q6585The ratio of the de-Broglie wavelengths of proton and electron having same Kinetic energy: (Assume m p =m e × 1849)Dual Nature of Matter and Radiation
Q6725Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: A bar magnet dropped through a metallic…Electromagnetic Induction and Alternating Currents
Q6812A plane electromagnetic wave of frequency 20 ~MHz propagates in free space along x -direction. At a particular space and time, E=6.6 j ~V / m. What is B at…Electromagnetic Waves
Q7086When one light ray is reflected from a plane mirror with 30^(°) angle of reflection, the angle of deviation of the ray after reflection is:Optics
Q7211A space ship of mass 2 × 10⁴ ~kg is launched into a circular orbit close to the earth surface. The additional velocity to be imparted to the space ship in the…Gravitation
Q7239If V is the gravitational potential due to sphere of uniform density on it's surface, then it's value at the center of sphere will be:-Gravitation
Q7420The root mean square speed of molecules of nitrogen gas at 27^(°) C is approximately: (Given mass of a nitrogen molecule =4.6 × 10⁻²⁶ ~kg and take Boltzmann…Kinetic Theory of Gases
Q7498The Thermodynamic process, in which internal energy of the system remains constant isThermodynamics
Q7597A body of mass 500 ~g moves along x -axis such that it's velocity varies with displacement x according to the relation v=10 √(x) ~m / s the force acting on…Laws of Motion
Q7716An electron is allowed to move with constant velocity along the axis of current carrying straight solenoid. A. The electron will experience magnetic force…Magnetic Effects of Current and Magnetism
Q7801A projectile is projected at 30^(°) from horizontal with initial velocity 40 ~ms⁻¹. The velocity of the projectile at t=2 ~s from the start will be: (Given…Kinematics
Q8028Eight equal drops of water are falling through air with a steady speed of 10 ~cm / s. If the drops coalesce, the new velocity is:-Properties of Solids and Liquids
Q8272If force (F), velocity (V) and time (T) are considered as fundamental physical quantity, then dimensional formula of density will be:Units and Measurements
Q8382When vector A=2 i+3 j+2 k is subtracted from vector B, it gives a vector equal to 2 j. Then the magnitude of vector B will be:Kinematics
Q8534A car P travelling at 20 ~ms⁻¹ sounds its horn at a frequency of 400 ~Hz. Another car Q is travelling behind the first car in the same direction with a…Oscillations and Waves

Chemistry

Q2Number of compounds from the following which will not produce orange red precipitate with Benedict solution is _ _ _ _ _ _. Glucose, maltose, sucrose, ribose…Biomolecules
Q3The maximum number of lone pairs of electrons on the central atom from the following species is _ _ _ _ _ _. ClO₃ ⁻, XeF₄, SF₄ and I₃ ⁻Chemical Bonding and Molecular Structure
Q44.5 moles each of hydrogen and iodine is heated in a sealed ten litre vessel. At equilibrium, 3 moles of HI were found. The equilibrium constant for…Equilibrium
Q10The number of correct statements from the following is _ _ _ _ _ A. E cell is an intensive parameter B. A negative E^() means that the redox couple is a…Redox Reactions and Electrochemistry
Q12The number of possible isomeric products formed when 3-chloro-1-butene reacts with HCl through carbocation formation is _ _ _ _ _.Hydrocarbons
Q20The volume of hydrogen liberated at STP by treating 2.4 ~g of magnesium with excess of hydrochloric acid is _ _ _ _ _ × ~10⁻² ~L Given: Molar volume of gas is…Some Basic Concepts in Chemistry
Q21The number of correct statements from the following is _ _ _ _ _ _. A. For 1 s orbital, the probability density is maximum at the nucleus B. For 2 s orbital…Atomic Structure
Q22The total number of intensive properties from the following is _ _ _ _ _ Volume, Molar heat capacity, Molarity, E^(θ) cell, Gibbs free energy change, Molar…Chemical Thermodynamics
Q60Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: A solution of the product obtained by…Organic Compounds Containing Oxygen
Q456For a chemical reaction A+B → Product, the order is 1 with respect to A and B. Rate mol~L⁻¹~S⁻¹ [A] mol~L⁻¹ [B] mol~L⁻¹ 0.10 20 0.5 0.40 x 0.5 0.80 40 y What…Chemical Kinetics
Q569Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: [CoCl(NH₃)₅]²⁺ absorbs at lower wavelength…Coordination Compounds
Q570Match List I with List II LIST I Complex LIST II Colour A. Mg(N H₄)P O₄ I. brown B. K₃[Co (N O₂)₆ ] II. white C. MnO (OH)₂ III. yellow D. F e₄ [Fe (CN)₆ ]₃…Coordination Compounds
Q693If Ni²⁺ is replaced by Pt²⁺ in the complex [NiCl₂ Br₂]²⁻, which of the following properties are expected to get changed ? A. Geometry B. Geometrical isomerism…Coordination Compounds
Q746The magnetic moment is measured in Bohr Magneton (BM). Spin only magnetic moment of Fe in [Fe(H₂ O)₆]³⁺ and [Fe(CN)₆]³⁻ complexes respectively is:Coordination Compounds
Q1049Which of the following compounds is an example of Freon?Environmental Chemistry
Q1209Which hydride among the following is less stable?Hydrogen
Q1364Given below are two statements: Statement I: In the metallurgy process, sulphide ore is converted to oxide before reduction. Statement II: Oxide ores in…Isolation of Elements
Q1516Which one of the following pairs is an example of polar molecular solids?p-Block Elements
Q1710Given below are two statements: Statement I: Ethene at 333 to 343 ~K and 6 - 7 atm pressure in the presence of AlEt₃ and TiCl₄ undergoes addition…Polymers
Q1866Alkali metal from the following with least melting point is:S Block Elements
Q2018What weight of glucose must be dissolved in 100 ~g of water to lower the vapour pressure by 0.20 ~mm ~Hg ? (Assume dilute solution is being formed) Given…Solutions
Q2047A solution is prepared by adding 2 ~g of " X " to 1 mole of water. Mass percent of " X " in the solution is:Some Basic Concepts in Chemistry

Mathematics

Q23Let the line l: x=(1-y)/(-2)=(z-3)/(λ), λ R meet the plane P: x+2 y+3 z=4 at the point (α, β, γ). If the angle between the line l and the plane P is cos…Three Dimensional Geometry
Q26If A is the area in the first quadrant enclosed by the curve C: 2 x²-y+1=0, the tangent to C at the point (1,3) and the line x+y=1, then the value of 60 ~A is…Integral Calculus
Q29Let S= C-, 2 i (z²+8 i z-15)/(z²-3 i z-2) R. If α-13/11 i S, α R-\0, then 242 α² is equal to _ _ _ _ _.Complex Numbers and Quadratic Equations
Q35Let A=\1,2,3,4,5 and B=\1,2,3,4,5,6. Then the number of functions f: A → B satisfying f(1)+f(2)=f(4)-1 is equal to _ _ _ _ _.Sets, Relations and Functions
Q42Let the tangent to the parabola y²=12 x at the point (3, α) be perpendicular to the line 2 x+2 y=3. Then the square of distance of the point (6,-4) from the…Coordinate Geometry
Q44Let the probability of getting head for a biased coin be 1/4. It is tossed repeatedly until a head appears. Let N be the number of tosses required. If the…Statistics and Probability
Q45The number of points, where the curve f(x)=e⁸ˣ-e⁶ˣ-3 e⁴ˣ-e²ˣ+1, x R cuts x -axis, is equal to _ _ _ _ _.Complex Numbers and Quadratic Equations
Q47For k N, if the sum of the series 1+4/k+8/(k²)+13/(k³)+19/(k⁴)+ is 10, then the value of k is _ _ _ _ _.Sequence and Series
Q50If the line l₁: 3 y-2 x=3 is the angular bisector of the lines l₂: x-y+1=0 and l₃: α x+β y+17=0, then α²+β²-α-β is equal to _ _ _ _ _.Coordinate Geometry
Q52Let a=i+2 j+3 k and b=i+j-k. If c is a vector such that a · c=11, b ·(a × c)=27 and b · c=-√(3)|b|, then |a × c|² is equal to _ _ _ _ _.Vector Algebra
Q2609Let the line passing through the points P(2,-1,2) and Q(5,3,4) meet the plane x-y+z=4 at the point R. Then the distance of the point R from the plane x+2 y+3…Three Dimensional Geometry
Q2610Let P be the plane passing through the points (5,3,0),(13,3,-2) and (1,6,2). For α N, if the distances of the points A(3,4, α) and B(2, α, a) from the plane P…Three Dimensional Geometry
Q2941The sum of the coefficients of three consecutive terms in the binomial expansion of (1+x)ⁿ⁺², which are in the ratio 1: 3: 5, is equal to:Binomial Theorem and Its Simple Applications
Q2942If the 1011^(th) term from the end in the binominal expansion of ((4 x)/5-5/(2 x))²⁰²² is 1024 times 1011^(th) R term from the beginning, then |x| is equal toBinomial Theorem and Its Simple Applications
Q3229For a C, let A= C: Re(a+z) > Im(a+z) and B= C: Re(a+z)<Im(a+z). Then among the two statements: (S1): If Re(a), Im(a) > 0, then the set A contains all the real…Complex Numbers and Quadratic Equations
Q3462If f: R → R be a continuous function satisfying ∫₀^((π)/2) f(sin 2 x) sin x d x+α ∫₀^((π)/4) f(cos 2 x) cos x d x=0, then the value of α is:Integral Calculus
Q3463Let the function f:[0,2] → R be defined as f(x)= e^(min ², x-[x]) x [0,1) e^[x- log e x], x [1,2] where [t] denotes the greatest integer less than or equal to…Integral Calculus
Q3638Let y=y(x) be the solution of the differential equation (d y)/(d x)+5/(x(x⁵+1)) y=((x⁵+1)²)/(x⁷), x > 0. If y(1)=2, then y(2) is equal to:Differential Equations
Q3788If the radius of the largest circle with centre (2,0) inscribed in the ellipse x²+4y²=36 is r, then 12r ² is equal to:Coordinate Geometry
Q3847The domain of the function f(x)=1/(√([x]²-3[x]-10)) is: (where [x] denotes the greatest integer less than or equal to x)Sets, Relations and Functions
Q3935The angle of elevation of the top P of a tower from the feet of one person standing due South of the tower is 45^(°) and from the feet of another person…Height and Distance
Q4214Let f and g be two functions defined by f(x)=\ ccx+1, x < 0 |x-1|, x ≥ 0. and g(x)=\ ccx+1, x < 0 1, x ≥ 0. Then (g° f)(x) is:Limit, Continuity and Differentiability
Q4392The converse of ((p) q) ⇒ r isMathematical Reasoning
Q4470| cccx+1 x x x x+λ x x x x+λ² |=9/8(103 x+81), then λ, (λ)/3 are the roots of the equation:Matrices and Determinants
Q4626If the system of linear equations 7 x+11 y+α z=13 5 x+4 y+7 z=β 175 x+194 y+57 z=361 has infinitely many solutions, then α+β+2 is equal to:Matrices and Determinants
Q4852If the letters of the word MATHS are permuted and all possible words so formed are arranged as in a dictionary with serial numbers, then the serial number of…Permutations and Combinations
Q5185Let a, b, c and d be positive real numbers such that a+b+c+d=11. If the maximum value of a⁵ b³ c² d is 3750 β, then the value of β isSequence and Series
Q5363Let A=\1,3,4,6,9 and B=\2,4,5,8,10. Let R be a relation defined on A × B such that R=\((a₁, b₁),(a₂, b₂)): a₁ ≤ b₂. and.b₁ ≤ a₂. Then the number of elements…Sets, Relations and Functions
Q5484Let the mean of 6 observations 1,2,4,5, x and y be 5 and their variance be 10. Then their mean deviation about the mean is equal to:Statistics and Probability
Q5750If four distinct points with position vectors a, b, c and d are coplanar, then [a b c] is equal to:Vector Algebra