JEE Main 2020 (Online) 6th September Evening Slot — Question Paper

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Physics

• Two planets have masses M and 16 M and their radii are a and 2a, respectively. The…
• In a dilute gas at pressure P and temperature T, the mean time between successive…
• Given the masses of various atomic particles mₚ = 1.0072 u, mₙ = 1.0087 u, mₑ = 0.000548…
• A Young's double-slit experiment is performed using monochromatic light of wavelength λ…
• A charged particle going around in a circle can be considered to be a current loop. A…
• A student measuring the diameter of a pencil of circular cross-section with the help of…
• When a car is at rest, its driver sees rain drops falling on it vertically. When driving…
• Three rods of identical cross-section and lengths are made of three different materials…
• A double convex lens has power P and same radii of curvature R of both the surfaces. The…
• The centre of mass of solid hemisphere of radius 8 cm is x from the centre of the flat…
• A fluid is flowing through a horizontal pipe of varying cross-section, with speed v ms…
• Two identical electric point dipoles have dipole moments p⃗ ₁ = pî and p⃗ ₂ = - pî and…
• Particle A of mass m₁ moving with velocity ( √3î + ĵ )ms⁻¹ collides with another…
• A particle moving in the xy plane experiences a velocity dependent force F⃗ = k( v_yî +…
• A circuit to verify Ohm's law uses ammeter and voltmeter in series or parallel connected…
• The linear mass density of a thin rod AB of length L varies from A to B as λ ( x ) = λ…
• Assuming the nitrogen molecule is moving with r.m.s. velocity at 400 K, the de-Broglie…
• In a series LR circuit, power of 400W is dissipated from a source of 250 V, 50 Hz. The…
• Consider the force F on a charge 'q' due to a uniformly charged spherical shell of…
• In the figure shown, the current in the 10 V battery is close to :
• When a particle of mass m is attached to a vertical spring of spring constant k and…
• An engine operates by taking a monoatomic ideal gas through the cycle shown in the…
• For a plane electromagnetic wave, the magnetic field at a point x and time t is B⃗ ( x,t…

Chemistry

• A crystal is made up of metal ions 'M₁' and 'M₂' and oxide ions. Oxide ions form a ccp…
• Which of the following compounds can be prepared in good yield by Gabriel phthalimide…
• The atomic number of Unnilunium is _______.
• A set of solutions is prepared using 180 g of water as a solvent and 10 g of different…
• The reaction of NO with N₂O₄ at 250 K gives :
• Dihydrogen of high purity (> 99.95%) is obtained through :
• The average molar mass of chlorine is 35.5 g mol –1 . The ratio of ³⁵Cl to ³⁷Cl in…
• For the given cell : Cu(s) | Cu²⁺(C₁M) || Cu²⁺(C₂M) | Cu(s) change in Gibbs energy (ΔG)…
• For Freundlich adsorption isotherm, a plot of log (x/m) (y-axis) and log p (x-axis)…
• For a d⁴ metal ion in an octahedral field, the correct electronic configuration is :
• Match the following compounds (Column-I) with their uses (Column-II) : S.No. | Column-I…
• If the solubility product of AB₂ is 3.20 × 10 –11 M³, then the solubility of AB₂ in pure…
• The element that can be refined by distillation is :
• Which one of the following statements is not true?
• The rate of a reaction decreased by 3.555 times when the temperature was changed from…
• Match the following : Test/Method | Reagent ; (i) Lucas Test | (a) C₆H₅SO₂Cl/ aq. KOH…
• Reaction of an inorganic sulphite X with dilute H₂SO₄ generates compound Y. Reaction of…
• A solution of phenol in chloroform when treated with aqueous NaOH gives compound P as a…
• Mischmetal is an alloy consisting mainly of :
• The value of K C is 64 at 800 K for the reaction N₂(g) + 3H₂(g) ⇌ 2NH₃(g) The value of K…
• The IUPAC name of the following compound is :
• The correct match between Item-I (starting material) and Item-II (reagent) for the…
• For a reaction, 4M(s) + nO₂(g) → 2M₂Oₙ(s) the free energy change is plotted as a…
• The correct match between Item - I and Item - II is : Item - I | Item - II ; (a) Natural…

Mathematics

• The number of words (with or without meaning) that can be formed from all the letters of…
• If α and β are the roots of the equation 2x(2x + 1) = 1, then β is equal to :
• Consider the data on x taking the values 0, 2, 4, 8,....., 2ⁿ with frequencies ⁿC₀ , ⁿC₁…
• Let f : R → R be a function defined by f(x) = max x, x². Let S denote the set of all…
• If x⃗ and y⃗ be two non-zero vectors such that | x⃗ + y⃗ | = | x⃗ | and 2x⃗ + λ y⃗ is…
• The set of all real values of λ for which the function f(x) = ( 1 - cos ²x )( λ + sin x…
• A plane P meets the coordinate axes at A, B and C respectively. The centroid of ΔABC is…
• For all twice differentiable functions f : R → R, with f(0) = f(1) = f'(0) = 0
• For a suitably chosen real constant a, let a function, f:R - { - a } → R be defined by…
• The common difference of the A.P. b₁, b₂, … , bₘ is 2 more than the common difference of…
• The integral ∫₁² eˣ.xˣ( 2 + log ₑx ) dx equals :
• The area (in sq. units) of the region enclosed by the curves y = x² – 1 and y = 1 – x²…
• The sum of distinct values of λ for which the system of equations ( λ - 1 )x + ( 3λ + 1…
• If the tangent to the curve, y = f (x) = xlogₑ x, (x > 0) at a point (c, f(c)) is…
• Let L denote the line in the xy-plane with x and y intercepts as 3 and 1 respectively…
• If y = ( 2/πx - 1 ) cosec x is the solution of the differential equation, dy/dx + p( x…
• Suppose that a function f : R → R satisfies f(x + y) = f(x)f(y) for all x, y ∈ R and…
• The centre of the circle passing through the point (0, 1) and touching the parabola y =…
• The probabilities of three events A, B and C are given by P(A) = 0.6, P(B) = 0.4 and…
• If the constant term in the binomial expansion of ( √x - k/x² )¹⁰ is 405, then |k|…
• If the normal at an end of a latus rectum of an ellipse passes through an extremity of…
• Let θ = π/5 and A = [ cos θ, sin θ; - sin θ, cos θ ]. If B = A + A⁴ , then det (B) :
• Let z = x + iy be a non-zero complex number such that z² = i| z |², where i = √(- 1)…

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