JEE Main 2021 (Online) 24th February Evening Shift — Question Paper

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Physics

• Zener breakdown occurs in a p - n junction having p and n both :
• A uniform thin bar of mass 6 kg and length 2.4 meter is bent to make an equilateral…
• On the basis of kinetic theory of gases, the gas exerts pressure because its molecules :
• A cylindrical wire of radius 0.5 mm and conductivity 5 × 10⁷ S/m is subjected to an…
• A point charge of +12μC is at a distance 6 cm vertically above the centre of a square of…
• According to Bohr atomic model, in which of the following transitions will the frequency…
• A circular hole of radius ( a/2 ) is cut out of a circular disc of radius 'a' as shown…
• The logic circuit shown above is equivalent to :
• When a particle executes SHM, the nature of graphical representation of velocity as a…
• The period of oscillation of a simple pendulum is T = 2π √(L/g). Measured value of 'L'…
• A body weights 49N on a spring balance at the north pole. What will be its weight…
• An X-ray tube is operated at 1.24 million volt. The shortest wavelength of the produced…
• An electromagnetic wave of frequency 3 GHz enters a dielectric medium of relative…
• Two solids A and B of mass 1 kg and 2 kg respectively are moving with equal linear…
• A particle is projected with velocity v₀ along x-axis. A damping force is acting on the…
• Two cars are approaching each other at an equal speed of 7.2 km/hr. When they see each…
• If one mole of an ideal gas at (P₁, V₁) is allowed to expand reversibly and isothermally…
• A soft ferromagnetic material is placed in an external magnetic field. The magnetic…
• Figure shows a circuit that contains four identical resistors with resistance R = 2.0Ω…
• Which of the following equations represents a travelling wave?
• A uniform metallic wire is elongated by 0.04 m when subjected to a linear force F. The…
• Given below are two statements : Statement I : PN junction diodes can be used to…
• A series L-C-R circuit is designed to resonate at an angular frequency ω₀ = 10⁵ rad/s…
• The root mean square speed of molecules of a given mass of a gas at 27°C and 1…
• Match List - I with List - II. List I | List II; (a) | Source of microwave frequency |…
• If the source of light used in a Young's double slit experiment is changed from red to…
• Two electrons each are fixed at a distance '2d'. A third charge proton placed at the…
• In the given figure, a body of mass M is held between two massless springs, on a smooth…
• The de-Broglie wavelength of a proton and α-particle are equal. The ratio of their…

Chemistry

• C₆H₆ freezes at 5.5°C. The temperature at which a solution of 10g of C₄H₁₀ in 200g of…
• Match List - I with List - II. List I (Salt) | List II (Flame colour wavelength); (a) |…
• The correct order of the following compounds showing increasing tendency towards…
• The calculated magnetic moments (spin only value) for species [FeCl₄]²⁻, [Co(C₂O₄)₃]³⁻…
• In polymer Buna-S : 'S' stands for :
• According to Bohr's atomic theory : (A) Kinetic energy of electron is ∝ Z²/n². (B) The…
• What is the correct sequence of reagents used for converting nitrobenzene into…
• Given below are two statements : one is labelled as Assertion A and the other is…
• The magnitude of the change in oxidising power of the MnO₄ - /Mn²⁺ couple is x × 10⁻⁴ V…
• Which one of the following carbonyl compounds cannot be prepared by addition of water on…
• The correct shape and I - I - I bond angles respectively in I₃ - ion are :
• 1.86 g of aniline completely reacts to form acetanilide. 10% of the product is lost…
• The correct set from the following in which both pairs are in correct order of melting…
• The solubility product of PbI₂ is 8.0 × 10⁻⁹. The solubility of lead iodide in 0.1 molar…
• The formula of a gaseous hydrocarbon which requires 6 times of its own volume of O₂ for…
• What is the correct order of the following elements with respect to their density?
• Among the following allotropic forms of sulphur, the number of allotropic forms, which…
• Which one of the following compounds is non-aromatic?
• Sucrose hydrolyses in acid solution into glucose and fructose following first order rate…
• Match List - I and List - II. List I | List II; (a) | Valium | (i) | Antifertility drug…
• The incorrect statement among the following is :
• Math List - I with List - II. List I (Metal) | List II (Ores); (a) | Aluminium | (i) |…
• Most suitable salt which can be used for efficient clotting of blood will be :
• Assuming ideal behaviour, the magnitude of log K for the following reaction at 25°C is x…
• The total number of amines among the following which can be synthesized by Gabriel…

Mathematics

• Let A and B be 3 × 3 real matrices such that A is symmetric matrix and B is…
• Let a point P be such that its distance from the point (5, 0) is thrice the distance of…
• The vector equation of the plane passing through the intersection of the planes r⃗ .( î…
• For which of the following curves, the line x + √3 y = 2√3 is the tangent at the point (…
• If the variance of 10 natural numbers 1, 1, 1, ....., 1, k is less than 10, then the…
• If the area of the triangle formed by the positive x-axis, the normal and the tangent to…
• Let i = √(- 1). If ( - 1 + i√3 )²¹/(1 - i)²⁴ + ( 1 + i√3 )²¹/(1 + i)²⁴ = k, and n =…
• If the curve y = ax² + bx + c, x∈R, passes through the point (1, 2) and the tangent line…
• For the system of linear equations: x - 2y = 1,x - y + kz = - 2,ky + 4z = 6,k ∈ R…
• If a + α = 1, b + β = 2 and af(x) + α f( 1/x ) = bx + β/x,x ≠ 0, then the value of the…
• The sum of first four terms of a geometric progression (G. P.) is 65/12 and the sum of…
• For integers n and r, let ( n; r ) = { ⁿCᵣ,, if n ≥ r ≥ 0; 0,, otherwise The maximum…
• The value of the integral, ∫₁³ [x² - 2x - 2]dx, where [x] denotes the greatest integer…
• Let f:R → R be defined as f(x) = { - 55x,, if x < - 5; 2x³ - 3x² - 120x,, if - 5 ≤ x ≤…
• The probability that two randomly selected subsets of the set {1, 2, 3, 4, 5} have…
• Let a, b∈R. If the mirror image of the point P(a, 6, 9) with respect to the line (x -…
• If P is a point on the parabola y = x² + 4 which is closest to the straight line y = 4x…
• Let f be a twice differentiable function defined on R such that f(0) = 1, f'(0) = 2 and…
• The number of the real roots of the equation (x + 1)² + |x - 5| = 27/4 is ________.
• A possible value of tan ( 1/4sin ⁻¹√63/8 ) is :
• The students S₁, S₂, ....., S₁₀ are to be divided into 3 groups A, B and C such that…
• The area of the region : R={(x,y):5x²≤ y≤ 2x²+9} is :
• If a curve y = f(x) passes through the point (1, 2) and satisfies x dy/dx + y = bx⁴…
• Let f(x) be a differentiable function defined on [0, 2] such that f'(x) = f'(2 - x) for…
• Let λ be an integer. If the shortest distance between the lines x - λ = 2y - 1 = -2z and…
• If n ≥ 2 is a positive integer, then the sum of the series ⁿ⁺¹C₂ + 2( ²C₂ + ³C₂ + ⁴C₂ +…

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