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JEE Main 2021 18 Mar Morning shift Question Paper with Solutions | JEE Arc

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JEE Main 202118 Mar, Morning shift

Physics 23Chemistry 22Mathematics 28

Physics

Q55A parallel plate capacitor has plate area 100 m² and plate separation of 10 m. The space between the plates is filled up to a thickness 5 m with a material of…Electrostatics
Q60An npn transistor operates as a common emitter amplifier with a power gain of 10⁶. The input circuit resistance is 100 Ω and the output load resistance is 10…Electronic Devices
Q65A bullet of mass 0.1 kg is fired on a wooden block to pierce through it, but it stops after moving a distance of 50 cm into it. If the velocity of bullet…Laws of Motion
Q67A person is swimming with a speed of 10 m/s at an angle of 120° with the flow and reaches to a point directly opposite on the other side of the river. The…Kinematics
Q68Two separate wires A and B are stretched by 2 mm and 4 mm respectively, when they are subjected to a force of 2 N. Assume that both the wires are made up of…Properties of Solids and Liquids
Q70A particle performs simple harmonic motion with a period of 2 second. The time taken by the particle to cover a displacement equal to half of its amplitude…Oscillations and Waves
Q5890In a series LCR resonance circuit, if we change the resistance only, from a lower to higher value:Electromagnetic Induction and Alternating Currents
Q5891An AC source rated 220 V, 50 Hz is connected to a resistor. The time taken by the current to change from its maximum to the rms value is:Electromagnetic Induction and Alternating Currents
Q6004Imagine that the electron in a hydrogen atom is replaced by a muon (μ). The mass of muon particle is 207 times that of an electron and charge is equal to the…Atoms and Nuclei
Q6106A radioactive sample disintegrates via two independent decay processes having half lives T 1/2 ^((1)) and T 1/2 ^((2)) respectively. The effective half-life…Atoms and Nuclei
Q6314Match List - I with List - II. List - I (a) 10 km height over earth's surface (b) 70 km height over earth's surface (c) 180 km height over earth's surface (d)…Communication Systems
Q6497In the experiment of Ohm's law, a potential difference of 5.0 V is applied across the end of a conductor of length 10.0 cm and diameter of 5.00 mm. The…Current Electricity
Q6560A particle is travelling 4 time as fast as an electron. Assuming the ratio of de-Broglie wavelength of a particle to that of electron is 2: 1, the mass of the…Dual Nature of Matter and Radiation
Q6774A plane electromagnetic wave of frequency 100 MHz is travelling in vacuum along the x-direction. At a particular point in space and time, B = 2.0 × 10⁻⁸ kT…Electromagnetic Waves
Q6966An oil drop of radius 2 mm with a density 3g cm⁻³ is held stationary under a constant electric field 3.55 × 10⁵ V m⁻¹ in the Millikan's oil drop experiment…Electrostatics
Q7067Your friend is having eye sight problem. She is not able to see clearly a distant uniform window mesh and it appears to her as non-uniform and distorted. The…Optics
Q7265The time period of a satellite in a circular orbit of radius R is T. The period of another satellite in a circular orbit of radius 9R is:Gravitation
Q7307What will be the average value of energy along one degree of freedom for an ideal gas in thermal equilibrium at a temperature T? (k B is Boltzmann constant)Thermodynamics
Q7706A loop of flexible wire of irregular shape carrying current is placed in an external magnetic field. Identify the effect of the field on the wire.Magnetic Effects of Current and Magnetism
Q8056A thin circular ring of mass M and radius r is rotating about its axis with an angular speed ω. Two particles having mass m each are now attached at…Rotational Motion
Q8158The time period of a simple pendulum is given by T = 2π √(l/g). The measured value of the length of pendulum is 10 cm known to a 1mm accuracy. The time for…Oscillations and Waves
Q8436In Young's double slit arrangement, slits are separated by a gap of 0.5 mm, and the screen is placed at a distance of 0.5 m from them. The distance between…Optics
Q8606A constant power delivering machine has towed a box, which was initially at rest, along a horizontal straight line. The distance moved by the box in time 't'…Work, Energy and Power

Chemistry

Q3AX is a covalent diatomic molecule where A and X are second row elements of periodic table. Based on Molecular orbital theory, the bond order of AX is 2.5…Chemical Bonding and Molecular Structure
Q42NO(g) + Cl₂(g) 2NOCl(s) This reaction was studied at - 10° and the following data was obtained Run | [NO]₀ | [C l₂ ]₀ | r₀ 1 | 0.10 | 0.10 | 0.18 2 | 0.10 |…Chemical Kinetics
Q5The total number of unpaired electrons present in the complex K₃[Cr(oxalate)₃] is _ _ _ _ _ _ _.Coordination Compounds
Q7For the reaction 2Fe³⁺(aq) + 2I^ - (aq) → 2Fe²⁺(aq) + I₂(s) the magnitude of the standard molar Gibbs free energy change, Δ r G m ^(o) = - _ _ _ _ _ k J…Redox Reactions and Electrochemistry
Q10In order to prepare a buffer solution of pH 5.74, sodium acetate is added to acetic acid. If the concentration of acetic acid in the buffer is 1.0 M, the…Equilibrium
Q172 molal solution of a weak acid HA has a freezing point of 3.885° C. The degree of dissociation of this acid is _ _ _ _ _ _ × 10⁻³. (Round off to the Nearest…Solutions
Q18A reaction of 0.1 mole of Benzylamine with bromomethane gave 23 g of Benzyl trimethyl ammonium bromide. The number of moles of bromomethane consumed in this…Some Basic Concepts in Chemistry
Q19_ _ _ _ _ grams of 3-Hydroxy propanal (MW = 74) must be dehydrated to produce 7.8 g of acrolein (MW = 56) (C₃H₄O) if the percentage yield is 64. (Round off to…Some Basic Concepts in Chemistry
Q20Complete combustion of 3g of ethane gives x × 10²² molecules of water. The value of x is _ _ _ _ _. (Round off to the Nearest Integer). [Use: N A = 6.023 ×…Some Basic Concepts in Chemistry
Q22For the reaction C₂H₆ → C₂H₄ + H₂ the reaction enthalpy Δ r H = _ _ _ _ _ kJ mol⁻¹. (Round off to the Nearest Integer). [ Given: Bond enthalpies in kJ mol⁻¹…Chemical Thermodynamics
Q104Compound with molecular formula C₃H₆O can show:Some Basic Principles of Organic Chemistry
Q169A non-reducing sugar "A" hydrolyses to give two reducing mono saccharides. Sugar A isBiomolecules
Q766Match List - I with List - II List - I List - II (a) Chlorophyll (i) Ruthenium (b) Vitamin- B₁₂ (ii) Platinum (c) Anticancer drug (iii) Cobalt (d) Grubbs…d- and f-Block Elements
Q1067The statements that are TRUE: (A) Methane leads to both global warming and photochemical smog (B) Methane is generated from paddy fields (C) Methane is a…Environmental Chemistry
Q1173Match List - I with List - II: List - I (Chemicals) (a) Alcoholic potassium hydroxide (b) Pd/BaSO₄ (c) BHC (Benzene hexachloride) (d) Polyacetylene List - II…Hydrocarbons
Q1321Given below are two statements: One is labelled as Assertion A and the other labelled as reason R Assertion A: During the boiling of water having temporary…Equilibrium
Q1391The chemical that is added to reduce the melting point of the reaction mixture during the extraction of aluminium is:Isolation of Elements
Q1507Match List - I with List - II List - I (process) List - II (catalyst) (a) Deacron's process (i) ZSM-5 (b) Contact process (ii) CuC l₂ (c) Cracking of…p-Block Elements
Q1556The ionic radius of Na⁺ ions is 1.02 A^(o). The ionic radii (in A^(o)) of Mg²⁺ and Al³⁺, respectively, areClassification of Elements and Periodicity in Properties
Q1749Reagent, 1-napthylamine and sulphanilic acid in acetic acid is used for the detection ofPrinciples Related to Practical Chemistry
Q1910In a binary compound, atoms of element A form a hcp structure and those of element M occupy 2/3 of the tetrahedral voids of the hcp structure. The formula of…Solid State
Q2143A certain orbital has no angular nodes and two radial nodes. The orbital is:Atomic Structure

Mathematics

Q23Let the plane ax + by + cz + d = 0 bisect the line joining the points (4, - 3, 1) and (2, 3, - 5) at the right angles. If a, b, c, d are integers, then the…Three Dimensional Geometry
Q24The equation of the planes parallel to the plane x - 2y + 2z - 3 = 0 which are at unit distance from the point (1, 2, 3) is ax + by + cz + d = 0. If (b - d) =…Three Dimensional Geometry
Q29Let z₁, z₂ be the roots of the equation z² + az + 12 = 0 and z₁, z₂ form an equilateral triangle with origin. Then, the value of |a| is:Complex Numbers and Quadratic Equations
Q30Let f(x) and g(x) be two functions satisfying f(x²) + g(4 - x) = 4x³ and g(4 - x) + g(x) = 0, then the value of ∫₋₄⁴ f (x)² dx isIntegral Calculus
Q35If f(x) = ∫ (5x⁸ + 7x⁶)/((x² + 1 + 2x⁷)²)dx,(x ≥ 0),f(0) = 0 and f(1) = 1/K, then the value of K isIntegral Calculus
Q42The number of times the digit 3 will be written when listing the integers from 1 to 1000 is:Permutations and Combinations
Q46The mean age of 25 teachers in a school is 40 years. A teacher retires at the age of 60 years and a new teacher is appointed in his place. If the mean age of…Statistics and Probability
Q48A square ABCD has all its vertices on the curve x²y² = 1. The midpoints of its sides also lie on the same curve. Then, the square of area of ABCD is _ _ _ _ _.Coordinate Geometry
Q2995Let (1 + x + 2x²)²⁰ = a₀ + a₁x + a₂x² +.... + a₄₀x⁴⁰. Then a₁ + a₃ + a₅ +..... + a₃₇ is equal toBinomial Theorem and Its Simple Applications
Q3099Choose the correct statement about two circles whose equations are given below: x² + y² - 10x - 10y + 41 = 0 x² + y² - 22x - 10y + 137 = 0Coordinate Geometry
Q3110For the four circles M, N, O and P, following four equations are given: Circle M: x² + y² = 1 Circle N: x² + y² - 2x = 0 Circle O: x² + y² - 2x - 2y + 1 = 0…Coordinate Geometry
Q3187If the equation a|z |² + α z + α z + d = 0 represents a circle where a, d are real constants then which of the following condition is correct?Complex Numbers and Quadratic Equations
Q3496The differential equation satisfied by the system of parabolas y² = 4a(x + a) is:Differential Equations
Q3823If the functions are defined as f(x) = x and g(x) = √(1 - x), then what is the common domain of the following functions: f + g, f - g, f/g, g/f, g - f where…Sets, Relations and Functions
Q3843The real valued function f(x) = cos e c⁻¹ x √(x - [x]), where [x] denotes the greatest integer less than or equal to x, is defined for all x belonging to:Sets, Relations and Functions
Q4031The integral ∫ ((2x - 1) cos √((2x - 1)² + 5))/(√(4x² - 4x + 6)) dx is equal to (where c is a constant of integration)Integral Calculus
Q4202If f(x) = \ 1/(|x|); |x| ≥ 1 a x² + b; |x| < 1. is differentiable at every point of the domain, then the values of a and b are respectively:Limit, Continuity and Differentiability
Q4285If lim x → 0 (sin ⁻¹x - tan ⁻¹x)/(3x³) is equal to L, then the value of (6L + 1) isLimit, Continuity and Differentiability
Q4465The solutions of the equation | 1 + sin ²x sin ²x sin ²x cos ²x 1 + cos ²x cos ²x 4 sin 2x 4 sin 2x 1 + 4 sin 2x | = 0,(0 < x < π), areMatrices and Determinants
Q4592Let α, β, γ be the real roots of the equation, x³ + ax² + bx + c = 0, (a, b, c R and a, b ≠ 0). If the system of equations (in u, v, w) given by α u + β v + γ…Matrices and Determinants
Q4654Let A + 2B = [ 1 2 0 6 - 3 3 - 5 3 1 ] and 2A - B = [ 2 - 1 5 2 - 1 6 0 1 2 ]. If Tr(A) denotes the sum of all diagonal elements of the matrix A, then Tr(A)…Matrices and Determinants
Q4796The sum of all the 4-digit distinct numbers that can be formed with the digits 1, 2, 2 and 3 is:Permutations and Combinations
Q5150The value of 3 + 1/(4 + 1/(3 + 1/(4 + 1/(3 +....∞)))) is equal toComplex Numbers and Quadratic Equations
Q5321If α, β are natural numbers such that 100^ α - 199 β = (100)(100) + (99)(101) + (98)(102) +...... + (1)(199), then the slope of the line passing through (α…Sequence and Series
Q53221/(3² - 1) + 1/(5² - 1) + 1/(7² - 1) +.... + 1/((201)² - 1) is equal toSequence and Series
Q5504The equation of one of the straight lines which passes through the point (1, 3) and makes an angles tan ⁻¹(2) with the straight line, y + 1 = 3 2 x is:Coordinate Geometry
Q5615The number of integral values of m so that the abscissa of point of intersection of lines 3x + 4y = 9 and y = mx + 1 is also an integer, is:Coordinate Geometry
Q5693A vector a has components 3p and 1 with respect to a rectangular cartesian system. This system is rotated through a certain angle about the origin in the…Vector Algebra