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JEE Main 2021 24 Feb Evening shift Question Paper with Solutions | JEE Arc

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JEE Main 202124 Feb, Evening shift

Physics 24Chemistry 20Mathematics 30

Physics

Q52A series L-C-R circuit is designed to resonate at an angular frequency ω ₀ = 10⁵ rad/s. The circuit draws 16W power from 120V source at resonance. The value…Electromagnetic Induction and Alternating Currents
Q54Two solids A and B of mass 1 kg and 2 kg respectively are moving with equal linear momentum. The ratio of their kinetic energies (K.E.) A: (K.E.) B will be…Rotational Motion
Q55A signal of 0.1 kW is transmitted in a cable. The attenuation of cable is - 5 dB per km and cable length is 20 km. The power received at receiver is 10⁻ˣ W…Communication Systems
Q56A cylindrical wire of radius 0.5 mm and conductivity 5 × 10⁷ S/m is subjected to an electric field of 10 mV/m. The expected value of current in the wire will…Current Electricity
Q59An electromagnetic wave of frequency 3 GHz enters a dielectric medium of relative electric permittivity 2.25 from vacuum. The wavelength of this wave in that…Electromagnetic Waves
Q66The root mean square speed of molecules of a given mass of a gas at 27° C and 1 atmosphere pressure is 200 ms⁻¹. The root mean square speed of molecules of…Thermodynamics
Q69A uniform metallic wire is elongated by 0.04 m when subjected to a linear force F. The elongation, if its length and diameter is doubled and subjected to the…Properties of Solids and Liquids
Q70A uniform thin bar of mass 6 kg and length 2.4 meter is bent to make an equilateral hexagon. The moment of inertia about an axis passing through the centre of…Rotational Motion
Q75Two cars are approaching each other at an equal speed of 7.2 km/hr. When they see each other, both blow horns having frequency of 676 Hz. The beat frequency…Oscillations and Waves
Q5998According to Bohr atomic model, in which of the following transitions will the frequency be maximum?Atoms and Nuclei
Q6553An X-ray tube is operated at 1.24 million volt. The shortest wavelength of the produced photon will be:Dual Nature of Matter and Radiation
Q6554The de-Broglie wavelength of a proton and α -particle are equal. The ratio of their velocities is:Dual Nature of Matter and Radiation
Q6838Match List - I with List - II. List I List II (a) Source of microwave frequency (i) Radioactive decay of nucleus (b) Source of infrared frequency (ii)…Electromagnetic Waves
Q6872Zener breakdown occurs in a p - n junction having p and n both:Electronic Devices
Q6904Given below are two statements: Statement I: PN junction diodes can be used to function as transistor, simply by connecting two diodes, back to back, which…Electronic Devices
Q6922Two electrons each are fixed at a distance '2d'. A third charge proton placed at the midpoint is displaced slightly by a distance x (x << d) perpendicular to…Electrostatics
Q7141A body weights 49N on a spring balance at the north pole. What will be its weight recorded on the same weighing machine, if it is shifted to the equator? [Use…Gravitation
Q7380On the basis of kinetic theory of gases, the gas exerts pressure because its molecules:Kinetic Theory of Gases
Q7585A particle is projected with velocity v₀ along x-axis. A damping force is acting on the particle which is proportional to the square of the distance from the…Laws of Motion
Q7641A soft ferromagnetic material is placed in an external magnetic field. The magnetic domains:Magnetic Effects of Current and Magnetism
Q8154When a particle executes SHM, the nature of graphical representation of velocity as a function of displacement is:Oscillations and Waves
Q8198The period of oscillation of a simple pendulum is T = 2π √(L/g). Measured value of 'L' is 1.0 m from meter scale having a minimum division of 1 mm and time of…Oscillations and Waves
Q8433If the source of light used in a Young's double slit experiment is changed from red to violet:Optics
Q8502Which of the following equations represents a travelling wave?Oscillations and Waves

Chemistry

Q4Sucrose hydrolyses in acid solution into glucose and fructose following first order rate law with a half-life of 3.33 h at 25° C. After 9 h, the fraction of…Chemical Kinetics
Q8The magnitude of the change in oxidising power of the MnO₄^ - /M n²⁺ couple is x × 10⁻⁴ V, if the H⁺ concentration is decreased from 1M to 10⁻⁴ M at 25° C…Redox Reactions and Electrochemistry
Q10The volume occupied by 4.75 g of acetylene gas at 50° C and 740 mmHg pressure is _ _ _ _ _ L. (Rounded off to the nearest integer) [Given R = 0.0826 L atm K⁻¹…Gaseous State
Q12The solubility product of PbI₂ is 8.0 × 10⁻⁹. The solubility of lead iodide in 0.1 molar solution of lead nitrate is x × 10⁻⁶. mol/L. The value of x is _ _ _…Equilibrium
Q16C₆H₆ freezes at 5.5° C. The temperature at which a solution of 10g of C₄H₁₀ in 200g of C₆H₆ freeze is _ _ _ _ _° C. (The molal freezing point depression…Solutions
Q17The formula of a gaseous hydrocarbon which requires 6 times of its own volume of O₂ for complete oxidation and produces 4 times its own volume of CO₂ is C x H…Some Basic Concepts in Chemistry
Q181.86 g of aniline completely reacts to form acetanilide. 10% of the product is lost during purification. Amount of acetanilide obtained after purification (in…Some Basic Concepts in Chemistry
Q21Assuming ideal behaviour, the magnitude of log K for the following reaction at 25° C is x × 10⁻¹. The value of x is _ _ _ _ _ _ _. (Integer answer) 3HC C H…Chemical Thermodynamics
Q234Match List - I and List - II. List I List II (a) Valium (i) Antifertility drug (b) Morphine (ii) Pernicious anaemia (c) Norethindrone (iii) Analgesic (d)…Biomolecules
Q301The correct shape and I - I - I bond angles respectively in I₃⁻ⁱon are:Chemical Bonding and Molecular Structure
Q343The correct set from the following in which both pairs are in correct order of melting point is:Chemical Bonding and Molecular Structure
Q627The calculated magnetic moments (spin only value) for species [FeC l₄ ]²⁻, [Co (C₂O₄)₃ ]³⁻ and MnO₄²⁻ respectively are:Coordination Compounds
Q874What is the correct order of the following elements with respect to their density?d- and f-Block Elements
Q1090Given below are two statements: Statement I: The value of the parameter "Biochemical Oxygen Demand (BOD)" is important for survival of aquatic life. Statement…Environmental Chemistry
Q1247Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Hydrogen is the most abundant element in…Hydrogen
Q1416Math List - I with List - II. List I (Metal) List II (Ores) (a) Aluminium (i) Siderite (b) Iron (ii) Calamine (c) Copper (iii) Kaolinite (d) Zinc (iv)…Isolation of Elements
Q1688In polymer Buna-S: 'S' stands for:Polymers
Q1853Match List - I with List - II. List I (Salt) List II (Flame colour wavelength) (a) LiCl (i) 455.5 nm (b) NaCl (ii) 670.8 nm (c) RbCl (iii) 780.0 nm (d) CsCl…S Block Elements
Q2118According to Bohr's atomic theory: (A) Kinetic energy of electron is ∝ (Z²)/(n²). (B) The product of velocity (v) of electron and principal quantum number…Atomic Structure
Q2252Most suitable salt which can be used for efficient clotting of blood will be:Surface Chemistry

Mathematics

Q24Let λ be an integer. If the shortest distance between the lines x - λ = 2y - 1 = - 2z and x = y + 2 λ = z - λ is (7)/(2 2), then the value of | λ | is _ _ _ _…Three Dimensional Geometry
Q30For integers n and r, let (n r) = \ ⁿ C r, if n ≥ r ≥ 0 0, otherwise. The maximum value of k for which the sum Σ i = 0 ^(k) (10 i)(15 k - i) + Σ i = 0 ^(k +…Binomial Theorem and Its Simple Applications
Q31Let a point P be such that its distance from the point (5, 0) is thrice the distance of P from the point (- 5, 0). If the locus of the point P is a circle of…Coordinate Geometry
Q32If the area of the triangle formed by the positive x-axis, the normal and the tangent to the circle (x - 2)² + (y - 3)² = 25 at the point (5, 7) is A, then…Coordinate Geometry
Q33Let i = √(- 1). If ((- 1 + i 3)²¹)/((1 - i)²⁴) + ((1 + i 3)²¹)/((1 + i)²⁴) = k, and n = [|k|] be the greatest integral part of | k |. Then Σ j = 0 ⁿ⁺⁵ (j +…Complex Numbers and Quadratic Equations
Q38If a + α = 1, b + β = 2 and af(x) + α f(1/x) = bx + (β)/x,x ≠ 0, then the value of the expression (f(x) + f(1/x))/(x + 1/x) is _ _ _ _ _.Sets, Relations and Functions
Q46The students S₁, S₂,....., S₁₀ are to be divided into 3 groups A, B and C such that each group has at least one student and the group C has at most 3…Permutations and Combinations
Q49The number of the real roots of the equation (x + 1)² + |x - 5| = 27/4 is _ _ _ _.Complex Numbers and Quadratic Equations
Q50The sum of first four terms of a geometric progression (G. P.) is 65/12 and the sum of their respective reciprocals is 65/18. If the product of first three…Sequence and Series
Q51If the variance of 10 natural numbers 1, 1, 1,....., 1, k is less than 10, then the maximum possible value of k is _ _ _ _.Statistics and Probability
Q2426The vector equation of the plane passing through the intersection of the planes r.(i + j + k) = 1 and r.(i - 2 j) = - 2, and the point (1, 0, 2) is:Three Dimensional Geometry
Q2494Let a, b R. If the mirror image of the point P(a, 6, 9) with respect to the line (x - 3)/7 = (y - 2)/5 = (z - 1)/(- 9) is (20, b, - a - 9), then | a + b |, is…Three Dimensional Geometry
Q2717Let f:R → R be defined as f(x) = \ - 55x, if x < - 5 2x³ - 3x² - 120x, if - 5 ≤ x ≤ 4 2x³ - 3x² - 36x - 336, if x > 4,. Let A = x R: f is increasing. Then A…Limit, Continuity and Differentiability
Q2780For which of the following curves, the line x + 3 y = 2 3 is the tangent at the point ((3 3)/2,1/2) ?Limit, Continuity and Differentiability
Q2781If the curve y = ax² + bx + c, x R, passes through the point (1, 2) and the tangent line to this curve at origin is y = x, then the possible values of a, b, c…Limit, Continuity and Differentiability
Q2833The area of the region: R = (x,y):5x² ≤ y ≤ 2x² + 9 is:Integral Calculus
Q2992If n ≥ 2 is a positive integer, then the sum of the series ⁿ⁺¹C₂ + 2(²C₂ + ³C₂ + ⁴C₂ +... + ⁿ C₂) is:Binomial Theorem and Its Simple Applications
Q3392The value of the integral, ∫₁³ [x² - 2x - 2]dx, where [x] denotes the greatest integer less than or equal to x, is:Integral Calculus
Q3393Let f(x) be a differentiable function defined on [0, 2] such that f'(x) = f'(2 - x) for all x (0, 2), f(0) = 1 and f(2) = e². Then the value of ∫₀² f(x) dx is:Integral Calculus
Q3394Let f be a twice differentiable function defined on R such that f(0) = 1, f'(0) = 2 and f'(x) ≠ 0 for all x R. If | f(x) f'(x) f'(x) f''(x) | = 0, for all x…Integral Calculus
Q3495If a curve y = f(x) passes through the point (1, 2) and satisfies x dy/dx + y = b x⁴, then for what value of b, ∫₁² f(x)dx = 62/5 ?Differential Equations
Q3921The angle of elevation of a jet plane from a point A on the ground is 60°. After a flight of 20 seconds at the speed of 432 km/hour, the angle of elevation…Height and Distance
Q4098A possible value of tan (1/4 sin ⁻¹(√(63))/8) is:Trigonometry
Q4340The negation of the statement p (p q) is:Mathematical Reasoning
Q4341For the statements p and q, consider the following compound statements: (a) (q (p → q)) → p (b) ((p q) p) → q Then which of the following statements is correct?Mathematical Reasoning
Q4587For the system of linear equations: x - 2y = 1,x - y + kz = - 2,ky + 4z = 6,k R, consider the following statements: (A) The system has unique solution if k ≠…Matrices and Determinants
Q4644Let A and B be 3 × 3 real matrices such that A is symmetric matrix and B is skew-symmetric matrix. Then the system of linear equations (A²B² - B²A²) X = O…Matrices and Determinants
Q4722If P is a point on the parabola y = x² + 4 which is closest to the straight line y = 4x - 1, then the co-ordinates of P are:Coordinate Geometry
Q4980The probability that two randomly selected subsets of the set 1, 2, 3, 4, 5 have exactly two elements in their intersection, is:Statistics and Probability
Q5039Let a, b, c be in arithmetic progression. Let the centroid of the triangle with vertices (a, c), (2, b) and (a, b) be (10/3,7/3). If α, β are the roots of the…Properties of Triangle