JEE Main 2020 (Online) 5th September Morning Slot — Question Paper

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Physics

• An electrical power line, having a total resistance of 2 Ω, delivers 1 kW at 220 V. The…
• Assume that the displacement(s) of air is proportional to the pressure difference (Δp)…
• A force F⃗ = ( î + 2ĵ + 3k̂ ) N acts at a point ( 4î + 3ĵ - k̂ ) m. Then the magnitude…
• A balloon is moving up in air vertically above a point A on the ground. When it is at a…
• A hollow spherical shell at outer radius R floats just submerged under the water…
• A physical quantity z depends on four observables a, b, c and d, as z = a²b^(2/3)/√cd³…
• Activities of three radioactive substances A, B and C are represented by the curves A, B…
• A wheel is rotating freely with an angular speed ω on a shaft. The moment of inertia of…
• Two concentric circular coils, C₁ and C₂ are placed in the XY plane. C₁ has 500 turns…
• Number of molecules in a volume of 4 cm³ of a perfect monoatomic gas at some temperature…
• Three different processes that can occur in an ideal monoatomic gas are shown in the P…
• A beam of electrons of energy E scatters from a target having atomic spacing of 1 Aᵒ…
• A compound microscope consists of an objective lens of focal length 1 cm and an eyepiece…
• In a resonance tube experiment when the tube is filled with water up to a height of 17.0…
• A square loop of side 2a, and carrying current I, is kept in XZ plane with its centre at…
• A galvanometer of resistance G is converted into a voltmeter of range 0 – 1 V by…
• A bullet of mass 5 g, travelling with a speed of 210 m/s, strikes a fixed wooden target…
• With increasing biasing voltage of a photodiode, the photocurrent magnitude :
• A helicopter rises from rest on the ground vertically upwards with a constant…
• For a concave lens of focal length f, the relation between object and image distances u…
• A solid sphere of radius R carries a charge Q + q distributed uniformly over its volume…
• Two capacitors of capacitances C and 2C are charged to potential differences V and 2V…
• An electron is constrained to move along the y-axis with a speed of 0.1 c (c is the…
• The value of the acceleration due to gravity is g₁ at a height h = R/2 (R = radius of…
• A particle of mass 200 MeV/c² collides with a hydrogen atom at rest. Soon after the…

Chemistry

• In the sixth period, the orbitals that are filled are :
• The values of the crystal field stabilization energies for a high spin d⁶ metal ion in…
• The total number of coordination sites in ethylenediaminetetraacetate (EDTA 4– ) is _____.
• The structure of PCl₅ in the solid state is :
• An Ellingham diagram provides information about :
• The minimum number of moles of O₂ required for complete combustion of 1 mole of propane…
• The most appropriate reagent for conversion of C₂H₅CN into CH₃CH₂CH₂NH₂ is
• The potential energy curve for the H₂ molecule as a function of internuclear distance is :
• A flask contains a mixture of compounds A and B. Both compounds decompose by first-order…
• The difference between the radii of 3ʳᵈ and 4ᵗʰ orbits of Li²⁺ is R₁ . The difference…
• The increasing order of basicity of the following compounds is :
• The number of chiral carbon(s) present in peptide, Ile-Arg-Pro, is _____.
• An oxidation-reduction reaction in which 3 electrons are transferred has a ΔGº of 17.37…
• Identify the correct molecular picture showing that happens at the critical micellar…
• Consider the following reaction: N₂O₄(g) ⇌ 2NO₂(g); ΔHᵒ = +58 kJ For each of the…
• A soft drink was bottled with a partial pressure of CO₂ of 3 bar over the liquid at room…
• The increasing order of the acidity of the α-hydrogen of the following compounds is :
• A diatomic molecule X₂ has a body-centred cubic (bcc) structure with a cell edge of 300…
• The equation that represents the water-gas shift reaction is :
• Which of the following is not an essential amino acid :
• The correct electronic configuration and spin-only magnetic moment (BM) of Gd³⁺ (Z =…
• If a person is suffering from the deficiency of nor-adrenaline, what kind of drug can be…

Mathematics

• If the volume of a parallelopiped, whose coterminus edges are given by the vectors a⃗ =…
• If 3^(2 sin 2α - 1), 14 and 3^(4 - 2 sin 2α) are the first three terms of an A.P. for…
• Let f(x) = x.[ x/2 ], for -10< x < 10, where [t] denotes the greatest integer function…
• If the four complex numbers z,z̅ ,z̅ - 2 Re ( z̅ ) and z-2Re(z) represent the vertices…
• If S is the sum of the first 10 terms of the series tan ⁻¹( 1/3 ) + tan ⁻¹( 1/7 ) + tan…
• The number of words, with or without meaning, that can be formed by taking 4 letters at…
• If the function f( x ) = { k₁( x - π )² - 1,, x ≤ π; k₂cos x,, x > π is twice…
• If the minimum and the maximum values of the function f:[ π/4,π/2 ] → R, defined by f( θ…
• If y = y(x) is the solution of the differential equation (5 + eˣ)/(2 + y).dy/dx + eˣ = 0…
• If 2¹⁰ + 2⁹.3¹ + 2⁸ .3² +.....+ 2.3⁹ + 3¹⁰ = S - 2¹¹, then S is equal to :
• The natural number m, for which the coefficient of x in the binomial expansion of ( xᵐ +…
• If (a, b, c) is the image of the point (1, 2, -3) in the line (x + 1)/2 = (y - 3)/(- 2)…
• Let λ ∈ R . The system of linear equations 2x₁ - 4x₂ + λx₃ = 1 x₁ - 6x₂ + x₃ = 2 λx₁ -…
• A survey shows that 73% of the persons working in an office like coffee, whereas 65%…
• The mean and variance of 7 observations are 8 and 16, respectively. If five observations…
• If the point P on the curve, 4x² + 5y² = 20 is farthest from the point Q(0, -4), then…
• Four fair dice are thrown independently 27 times. Then the expected number of times, at…
• If the line, 2x - y + 3 = 0 is at a distance 1/√5 and 2/√5 from the lines 4x - 2y + α =…
• If the co-ordinates of two points A and B are ( √7 ,0 ) and ( - √7 ,0 ) respectively and…
• The product of the roots of the equation 9x² - 18|x| + 5 = 0 is :
• The value of ∫_((- π)/2)^(π/2) 1/(1 + eˢⁱⁿˣ)dx is:
• If ∫ (e²ˣ+2eˣ-e⁻ˣ-1)e^((eˣ+e⁻ˣ))dx = g(x)e^((eˣ+e⁻ˣ))+c where c is a constant of…
• If α is positive root of the equation, p(x) = x² - x - 2 = 0, then lim _(x → α +) √(1 -…
• If the common tangent to the parabolas, y² = 4x and x² = 4y also touches the circle, x²…

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