JEE Main 2020 (Online) 4th September Evening Slot — Question Paper

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Physics

• A quantity x is given by (IFv²/WL⁴) in terms of moment of inertia I, force F, velocity…
• Identify the operation performed by the circuit given below :
• The driver of a bus approaching a big wall notices that the frequency of his bus's horn…
• Match the thermodynamic processes taking place in a system with the correct conditions…
• A series L-R circuit is connected to a battery of emf V. If the circuit is switched on…
• A paramagnetic sample shows a net magnetisation of 6 A/m when it is placed in an…
• The distance between an object and a screen is 100 cm. A lens can produce real image of…
• A person pushes a box on a rough horizontal plateform surface. He applies a force of 200…
• Consider two uniform discs of the same thickness and different radii R₁ = R and R₂ = αR…
• A capacitor C is fully charged with voltage V₀. After disconnecting the voltage source…
• The change in the magnitude of the volume of an ideal gas when a small additional…
• Two identical cylindrical vessels are kept on the ground and each contain the same…
• For a uniform rectangular sheet shown in the figure, the ratio of moments of inertia…
• The speed verses time graph for a particle is shown in the figure. The distance…
• A particle of charge q and mass m is subjected to an electric field E = E₀ (1 – ax²) in…
• In a photoelectric effect experiment, the graph of stopping potential V versus…
• Four resistances 40 Ω, 60 Ω, 90 Ω and 110 Ω make the arms of a quadrilateral ABCD…
• Find the Binding energy per neucleon for ₅₀¹²⁰Sn. Mass of proton mₚ = 1.00783 U, mass of…
• A cube of metal is subjected to a hydrostatic pressure of 4 GPa. The percentage change…
• Orange light of wavelength 6000 × 10 –10 m illuminates a single slit of width 0.6 × 10…
• The electric field of a plane electromagnetic wave is given by E⃗ = E₀( x + y )sin ( kz…
• The value of current i₁ flowing from A to C in the circuit diagram is :
• A body is moving in a low circular orbit about a planet of mass M and radius R. The…
• A small ball of mass m is thrown upward with velocity u from the ground. The ball…
• A circular coil has moment of inertia 0.8 kg m² around any diameter and is carrying…

Chemistry

• The number of molecules with energy greater than the threshold energy for a reaction…
• Five moles of an ideal gas at 1 bar and 298 K is expanded into vacuum to double the…
• The reaction in which the hybridisation of the underlined atom is affected is :
• The process that is NOT endothermic in nature is :
• An alkaline earth metal ‘M’ readily forms water soluble sulphate and water insoluble…
• The one that can exhibit highest paramagnetic behaviour among the following is : gly =…
• The osmotic pressure of a solution of NaCl is 0.10 atm and that of a glucose solution is…
• A 100 mL solution was made by adding 1.43 g of Na₂CO₃.xH₂O. The normality of the…
• The molecule in which hybrid MOs involve only one d-orbital of the central atom is :
• Consider the following equations : 2Fe²⁺ + H₂O₂ → xA + yB (in basic medium) 2MnO₄⁻ + 6H⁺…
• The Crystal Field Stabilization Energy (CFSE) of [CoF₃(H₂O)₃] (Δ₀ < P) is :
• The incorrect statement(s) among (a) - (c) is (are) (a) W(VI) is more stable than…
• A sample of red ink (a colloidal suspension) is prepared by mixing eosin dye, egg white…
• In the following reaction sequence, [C] is :
• The shortest wavelength of H atom in the Lyman series is λ₁. The longest wavelength in…
• Which of the following compounds will form the precipitate with aq. AgNO₃ solution most…
• If the equilibrium constant for A ⇌ B + C is K_(eq)⁽¹⁾ and that of B + C ⇌ P is…
• The mechanism of action of ''Terfenadine'' (Seldane) is :
• Among the following compounds, which one has the shortest C – Cl bond?
• The number of chiral centres present in threonine is ________.
• 250 mL of a waste solution obtained from the workshop of a goldsmith contains 0.1 M…

Mathematics

• The distance of the point (1, –2, 3) from the plane x – y + z = 5 measured parallel to…
• Let PQ be a diameter of the circle x² + y² = 9. If α and β are the lengths of the…
• Let λ ≠ 0 be in R. If α and β are the roots of the equation, x² - x + 2λ = 0 and α and γ…
• The integral ∫_(π/6)^(π/3) tan ³x.sin ²3x( 2sec ²x.sin ²3x + 3 tan x.sin 6x )dx is equal…
• In a game two players A and B take turns in throwing a pair of fair dice starting with…
• If a and b are real numbers such that ( 2 + α )⁴ = a + bα where α = (- 1 + i√3)/2 then a…
• If for some positive integer n, the coefficients of three consecutive terms in the…
• If a⃗ = 2î + ĵ + 2k̂, then the value of | î × ( a⃗ × î ) |² + | ĵ × ( a⃗ × ĵ ) |² + | k̂…
• Let x = 4 be a directrix to an ellipse whose centre is at the origin and its…
• Let x and [x] denote the fractional part of x and the greatest integer ≤ x respectively…
• Let ∪ ᵢ₌₁⁵⁰ Xᵢ = ∪ ᵢ₌₁ⁿ Yᵢ = T where each Xᵢ contains 10 elements and each Yᵢ contains 5…
• If the perpendicular bisector of the line segment joining the points P(1 ,4) and Q(k, 3)…
• The minimum value of 2ˢⁱⁿˣ + 2ᶜᵒˢˣ is :
• A test consists of 6 multiple choice questions, each having 4 alternative answers of…
• The circle passing through the intersection of the circles, x² + y² – 6x = 0 and x² + y²…
• The solution of the differential equation dy/dx - (y + 3x)/(log ₑ( y + 3x )) + 3 = 0 is…
• If the variance of the following frequency distribution : Class : 10–20 20–30 30–40…
• If the system of equations x+y+z=2 2x+4y–z=6 3x+2y+λz=μ has infinitely many solutions…
• Let f:( 0,∞ ) → ( 0,∞ ) be a differentiable function such that f(1) = e and lim _(t → x)…
• Suppose the vectors x₁, x₂ and x₃ are the solutions of the system of linear equations…
• Let a₁, a₂, ..., an be a given A.P. whose common difference is an integer and Sₙ = a₁ +…
• The function f(x) = { π/4 + tan ⁻¹x,, | x | ≤ 1; 1/2( | x | - 1 ),, | x | > 1 is :
• The area (in sq. units) of the largest rectangle ABCD whose vertices A and B lie on the…

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