JEE Main 2021 (Online) 26th August Morning Shift — Question Paper

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Physics

• White light is passed through a double slit and interference is observed on a screen 1.5…
• Identify the logic operation carried out by the given circuit :-
• Statement I : By doping silicon semiconductor with pentavalent material, the electrons…
• The fractional change in the magnetic field intensity at a distance 'r' from centre on…
• The electric field in a plane electromagnetic wave is given by E⃗ = 200 cos [ ( (0.5 ×…
• A particular hydrogen like ion emits radiation of frequency 2.92 × 10¹⁵ Hz when it makes…
• Two short magnetic dipoles m₁ and m₂ each having magnetic moment of 1 Am² are placed at…
• Inside a uniform spherical shell : (1) the gravitational field is zero (2) the…
• The material filled between the plates of a parallel plate capacitor has resistivity 200…
• A solid metal sphere of radius R having charge q is enclosed inside the concentric…
• A uniform chain of length 3 meter and mass 3 kg overhangs a smooth table with 2 meter…
• In the given figure, the emf of the cell is 2.2 V and if internal resistance is 0.6Ω…
• In a photoelectric experiment ultraviolet light of wavelength 280 nm is used with…
• A series LCR circuit driven by 300 V at a frequency of 50 Hz contains a resistance R = 3…
• Consider a badminton racket with length scales as shown in the figure. If the mass of…
• The magnitude of vectors OA⃗, OB⃗ and OC⃗ in the given figure are equal. The direction…
• An inductor coil stores 64 J of magnetic field energy and dissipates energy at the rate…
• Two travelling waves produces a standing wave represented by equation, y = 1.0 mm…
• The rms speeds of the molecules of Hydrogen, Oxygen and Carbon dioxide at the same…
• A soap bubble of radius 3 cm is formed inside the another soap bubble of radius 6 cm…
• What equal length of an iron wire and a copper-nickel alloy wire, each of 2 mm diameter…
• If E, L, M and G denote the quantities as energy, angular momentum, mass and constant of…
• The initial mass of a rocket is 1000 kg. Calculate at what rate the fuel should be burnt…
• Car B overtakes another car A at a relative speed of 40 ms⁻¹. How fast will the image of…
• Two spherical balls having equal masses with radius of 5 cm each are thrown upwards…
• An electric appliance supplies 6000 J/min heat to the system. If the system delivers a…
• Two narrow bores of diameter 5.0 mm and 8.0 mm are joined together to form a U-shaped…
• A source and a detector move away from each other in absence of wind with a speed of 20…
• In a Screw Gauge, fifth division of the circular scale coincides with the reference line…

Chemistry

• Given below are two statements. Statement I : Frenkel defects are vacancy as well as…
• These are physical properties of an element (A) Sublimation enthalpy (B) Ionisation…
• The Born-Haber cycle for KCl is evaluated with the following data : Δ _fH^Θ for KCl =…
• Which one of the following when dissolved in water gives coloured solution in nitrogen…
• What are the products formed in sequence when excess of CO₂ is passed in slaked lime?
• The incorrect statement is :
• Which one of the following complexes is violet in colour?
• The total number of negative charge in the tetrapeptide, Gly-Glu-Asp-Tyr, at pH 12.5…
• The OH⁻ concentration in a mixture of 5.0 mL of 0.0504 M NH₄Cl and 2 mL of 0.0210 M NH₃…
• The ratio of number of water molecules in Mohr's salt and potash alum is ____________ ×…
• Of the following four aqueous solutions, total number of those solutions whose freezing…
• Which one of the following methods is most suitable for preparing deionized water?
• The major product formed in the following reaction is :
• An aqueous KCl solution of density 1.20 g mL⁻¹ has a molality of 3.30 mol kg⁻¹. The…
• Among the following compounds I-IV, which one forms a yellow precipitate on reacting…
• Given below are two statements : Statement I : The choice of reducing agents for metals…
• Given below are two statements. Statement I : In the titration between strong acid and…
• The number of 4f electrons in the ground statement electronic configuration of Gd²⁺ is…
• Given below are two statements : Statement I : The limiting molar conductivity of KCl…
• Given below are two statements. Statement I : According to Bohr's model of an atom…
• The polymer formed on heating Novolac with formaldehyde is :
• AB₃ is an interhalogen T-shaped molecule. The number of lone pairs of electrons on A is…
• Excess of isobutane on reaction with Br₂ in presence of light at 125°C gives which one…
• The following data was obtained for chemical reaction given below at 975 K. 2NO (g) + 2H…
• Which one of the following is correct for the adsorption of a gas at a given temperature…

Mathematics

• The value of ∫_((- 1)/√2)^(1/√2) ( ( (x + 1)/(x - 1) )² + ( (x - 1)/(x + 1) )² - 2…
• Let a⃗ = î + ĵ + k̂ and b⃗ = ĵ - k̂. If c⃗ is a vector such that a⃗ × c⃗ = b⃗ and a⃗ .c⃗…
• The number of three-digit even numbers, formed by the digits 0, 1, 3, 4, 6, 7 if the…
• If ¹P₁ + 2.²P₂ + 3.³P₃ + .... + 15.¹⁵P₁₅ = ^qPᵣ - s,0 ≤ s ≤ 1, then ^(q + s)Cᵣ₋ₛ is…
• A wire of length 36 m is cut into two pieces, one of the pieces is bent to form a square…
• On the ellipse x²/8 + y²/4 = 1 let P be a point in the second quadrant such that the…
• Let θ ∈ ( 0,π/2 ). If the system of linear equations (1 + cos ²θ )x + sin ²θ y + 4 sin 3…
• The sum of all integral values of k (k ≠ 0) for which the equation 2/(x - 1) - 1/(x - 2)…
• Let the line L be the projection of the line (x - 1)/2 = (y - 3)/1 = (z - 4)/2 in the…
• Out of all the patients in a hospital 89% are found to be suffering from heart ailment…
• Let A and B be independent events such that P(A) = p, P(B) = 2p. The largest value of p…
• Let y = y(x) be a solution curve of the differential equation (y + 1)tan ²x dx + tan x…
• If ²⁰Cᵣ is the co-efficient of xʳ in the expansion of (1 + x)²⁰, then the value of…
• The equation arg ( (z - 1)/(z + 1) ) = π/4 represents a circle with :
• If a line along a chord of the circle 4x² + 4y² + 120x + 675 = 0, passes through the…
• Let a, b ∈ R, b ∈ 0, Define a function f(x) = { a sin π/2(x - 1),, for x ≤ 0; (tan 2x -…
• If A = ( 1/√5, 2/√5; (- 2)/√5, 1/√5 ), B = ( 1, 0; i, 1 ), i = √(- 1), and Q = A T BA…
• If y = y(x) is an implicit function of x such that logₑ(x + y) = 4xy, then d²y/dx² at x…
• Let f(x) = cos ( 2tan ⁻¹sin ( cot ⁻¹√((1 - x)/x) ) ), 0 < x < 1. Then :
• Let z = (1 - i√3)/2, i = √(- 1). Then the value of 21 + ( z + 1/z )³ + ( z² + 1/z² )³ +…
• The sum of the series 1/(x + 1) + 2/(x² + 1) + 2²/(x⁴ + 1) + ...... + 2¹⁰⁰/(x^(2¹⁰⁰) +…
• The mean and standard deviation of 20 observations were calculated as 10 and 2.5…
• The sum of solutions of the equation (cos x)/(1 + sin x) = | tan 2x |, x ∈ ( - π/2,π/2 )…
• The value of lim _(n → ∞) 1/nΣᵣ₌₀²ⁿ⁻¹ n²/(n² + 4r²) is :
• The locus of a point, which moves such that the sum of squares of its distances from the…
• The area of the region S={(x,y):3x²≤ 4y≤ 6x+24} is ____________.
• A plane P contains the line x + 2y + 3z + 1 = 0 = x - y - z - 6, and is perpendicular to…
• If the sum of an infinite GP a, ar, ar², ar³, ....... is 15 and the sum of the squares…

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