JEE Main 2021 (Online) 25th February Evening Shift — Question Paper

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Physics

• The stopping potential for electrons emitted from a photosensitive surface illuminated…
• A reversible heat engine converts one-fourth of the heat input into work. When the…
• In a ferromagnetic material, below the curie temperature, a domain is defined as :
• Two particles having masses 4 g and 16 g respectively are moving with equal kinetic…
• The truth table for the following logic circuit is :
• An LCR circuit contains resistance of 110Ω and a supply of 220 V at 300 rad/s angular…
• Two small spheres each of mass 10 mg are suspended from a point by threads 0.5 m long…
• If P⃗× Q⃗=Q⃗× P⃗, the angle between P⃗ and Q⃗ is θ(0° < θ < 360°). The value of 'θ' will…
• Two identical conducting spheres with negligible volume have 2.1 nC and -0.1 nC charges…
• For extrinsic semiconductors; when doping level is increased;
• An electron of mass mₑ and a proton of mass mₚ = 1836 mₑ are moving with the same speed…
• An electron with kinetic energy K₁ enters between parallel plates of a capacitor at an…
• The point A moves with a uniform speed along the circumference of a circle of radius…
• Given below are two statements : Statement I : In a diatomic molecule, the rotational…
• A sphere of radius 'a' and mass 'm' rolls along a horizontal plane with constant speed…
• If e is the electronic charge, c is the speed of light in free space and h is Planck's…
• Consider the diffraction pattern obtained from the sunlight incident on a pinhole of…
• A current of 6A enters one corner P of an equilateral triangle PQR having 3 wires of…
• The wavelength of the photon emitted by a hydrogen atom when an electron makes a…
• A charge 'q' is placed at one corner of a cube as shown in figure. The flux of…
• Thermodynamic process is shown below on a P-V diagram for one mole of an ideal gas. If…
• Match List I with List II. List I | List II; (a) | Rectifier | (i) | Used either for…
• The initial velocity vᵢ required to project a body vertically upward from the surface of…
• A stone is dropped from the top of a building. When it crosses a point 5 m below the…
• The percentage increase in the speed of transverse waves produced in a stretched string…
• The peak electric field produced by the radiation coming from the 8W bulb at a distance…
• Y = A sin(ωt + φ₀) is the time-displacement equation of a SHM. At t = 0 the displacement…
• The wavelength of an X-ray beam is 10Aᵒ. The mass of a fictitious particle having the…
• Two identical springs of spring constant '2k' are attached to a block of mass m and to…

Chemistry

• The method used for the purification of Indium is :
• The correct order of bond dissociation enthalpy of halogens is :
• The rate constant of a reaction increases by five times on increase in temperature from…
• Consider titration of NaOH solution versus 1.25 M oxalic acid solution. At the end point…
• Which one of the following statements is FALSE for hydrophilic sols?
• The correct order of acid character of the following compounds is :
• Which of the following compound is added to the sodium extract before addition of silver…
• Given below are two statements : Statement I : The identification of Ni²⁺ is carried out…
• If a compound AB dissociates to the extent of 75% in an aqueous solution, the molality…
• Correct statement about the given chemical reaction is :
• Water does not produce CO on reacting with :
• Given below are two statements : Statement I : α and β forms of sulphur can change…
• The number of compound/s given below which contain/s -COOH group is __________. (Integer…
• Which of the following is correct structure of α-anomer of maltose?
• The solubility of Ca(OH)₂ in water is : [Given : The solubility product of Ca(OH)₂ in…
• Electromagnetic radiation of wavelength 663 nm is just sufficient to ionise the atom of…
• Among the following, number of metal/s which can be used as electrodes in the…
• Which among the following species has unequal bond lengths?
• Copper reduces NO₃ - into NO and NO₂ depending upon the concentration of HNO₃ in…
• The correct sequence of reagents used in the preparation of 4-bromo-2-nitroethyl benzene…
• Carbylamine test is used to detect the presence of primary amino group in an organic…
• The major components of German Silver are :
• The unit cell of copper corresponds to a face centered cube of edge length 3.596 Aᵒ with…
• In which of the following order the given complex ions are arranged correctly with…
• Five moles of an ideal gas at 293 K is expanded isothermally from an initial pressure of…

Mathematics

• The shortest distance between the line x - y = 1 and the curve x² = 2y is :
• If the curves x = y⁴ and xy = k cut at right angles, then (4k)⁶ is equal to __________.
• The minimum value of f(x) = a^(aˣ) + a^(1 - aˣ), where a, x ∈ R and a > 0, is equal to :
• If α, β ∈ R are such that 1 - 2i (here i² = -1) is a root of z² + αz + β = 0, then (α -…
• If Iₙ = ∫_(π/4)^(π/2) cot ⁿx dx, then :
• If lim _(x → 0) (ax - (e⁴ˣ - 1))/ax(e⁴ˣ - 1) exists and is equal to b, then the value of…
• If 0 < x, y < π and cosx + cosy - cos(x + y) = 3/2, then sinx + cosy is equal to :
• Let A be a 3 × 3 matrix with det(A) = 4. Let Rᵢ denote the iᵗʰ row of A. If a matrix B…
• A function f is defined on [-3, 3] as f(x) = { min { |x|,2 - x²} ,, - 2 ≤ x ≤ 2; [|x|]…
• A hyperbola passes through the foci of the ellipse x²/25 + y²/16 = 1 and its transverse…
• Let α and β be the roots of x² - 6x - 2 = 0. If aₙ = αⁿ - βⁿ for n ≥ 1, then the value…
• A function f(x) is given by f(x) = 5ˣ/(5ˣ + 5), then the sum of the series f( 1/20 ) +…
• If for the matrix, A = [ 1, - α; α, β ], AAᵀ = I₂, then the value of α ⁴ + β ⁴ is :
• A plane passes through the points A(1, 2, 3), B(2, 3, 1) and C(2, 4, 2). If O is the…
• lim _(n → ∞) [ 1/n + n/(n + 1)² + n/(n + 2)² + ........ + n/(2n + 1)² ] is equal to :
• In a group of 400 people, 160 are smokers and non-vegetarian; 100 are smokers and…
• The value of ∫₋₂² |3x² - 3x - 6|dx is ___________.
• The following system of linear equations 2x + 3y + 2z = 9 3x + 2y + 2z = 9 x - y + 4z = 8
• Let a⃗ = î + α ĵ + 3k̂ and b⃗ = 3î - α ĵ + k̂. If the area of the parallelogram whose…
• A line 'l' passing through origin is perpendicular to the lines l₁:r⃗ = (3 + t)î + ( - 1…
• Let A be a set of all 4-digit natural numbers whose exactly one digit is 7. Then the…
• A line is a common tangent to the circle (x - 3)² + y² = 9 and the parabola y² = 4x. If…
• If the curve, y = y(x) represented by the solution of the differential equation (2xy² -…
• cosec[ 2cot ⁻¹(5) + cos ⁻¹( 4/5 ) ] is equal to :
• If the remainder when x is divided by 4 is 3, then the remainder when (2020 + x)²⁰²² is…
• The integral ∫ (e^(3logₑ2x)+5e^(2logₑ2x))/(e^(4logₑx)+5e^(3logₑx)-7e^(2logₑx))dx, x > 0…
• Let x denote the total number of one-one functions from a set A with 3 elements to a set…
• If the curve x² + 2y² = 2 intersects the line x + y = 1 at two points P and Q, then the…

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